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Abstract
Corn milk yoghurt was developed using commercial (traditional) yoghurt starter cultures (Lactobacillus bulgaricus and Streptococcus thermophilus; YC-380 Freeze-dried: CHR Hansen; Denmark). Fermentation of corn milk extracted from sweet corn with two coloured type which was specific type for making corn milk. The optimized process and formulation of corn milk yoghurt product developed on this research contained main ingredients of 82.40% w/w corn milk, 7.50% w/w skimmed milk powder, 7.00% w/w sucrose, 0.10% w/w gelatin and 3.00% w/w starter cultures and optimum processing time for fermentation was at 37ÑC for 10 hours. The corn milk yoghurt had the colourness in Hunter system : L (91.33), a (-7.47) and b (30.14). The viscosity was 17,500 centipoises. The product contained 20.56% w/w total solid content, 3.73% w/w sucrose, 4.06% w/w reducing sugar, 7.79% w/w total sugar (as invert sugars), 1.11% w/w total titratable acidity (as lactic acid), pH 3.97, 7.10u109 cfu/g total starter culture count, with less than 3 MPN/g of coliforms bacteria count and yeasts and moulds count were less than 10 cfu/g. Panelists accepted the final product with mean ideal ratio scores of colour, smoothness, whey off, mouthfeel, viscous, milk powder flavour, corn flavour, acidic flavour, sourness, sweetness and overall acceptability by the scores of 1.01, 0.99, 0.97, 1.01, 1.01, 0.97, 0.98, 1.00, 0.97, 1.00 and 0.90 respectively. For the study on shelf life of corn milk yoghurt, it was found that the physical, chemical, microbiological and sensory evaluation properties were not significantly changed (P>0.05) after 2 weeks storage at 10ÑC. However, when product had been stored for more than 2 weeks, its viscosity and amount of starter cultures decreased to lower than 1.0u104centipoises and 1.0u108 cfu/g respectively. These made the product qualities decrease with significantly changed (Pd0.05). The application using corn milk yoghurt to make corn milk drinking yoghurt mixed with herbs (USA. mint, chamomile and thyme) was found that the suitable proportion of 24ÑBrix syrup of herbs which contained 50.51% w/w mint syrup, 31.04% w/w chamomile syrup and 18.45%
w/w thyme syrup. The formulation of corn milk drinking yoghurt mixed with herbs’s syrup composed 50% w/w corn milk yoghurt and 50% w/w herbs’s syrup. Physical, chemical and microbiological properties including sensory evaluation of corn milk drinking yoghurt had been studied comparing to that of the commercial drinking yoghurt, it was found that all properties were not significantly different (P>0.05).
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(yeast extracts) Ã¥¢°Á¢Îµ®oµ¸É¥¹´´¦³»Â¨Á¸¥¤ (Ca++) Á¡ºÉ°¥´¥´Êµ¦Á¦· ° phage ¸Éo°µ¦ Ca++ ĵ¦Á¦· ° phage Åo nª·Á¦Á}µ¦¸ÉÄo宦´¨·µ¦ diacetyl ¨³Á¤ºÉ°¦nª¤´¢°Á¢³Ä®o£µ¡µ¦Á}´¢Á¢°¦r ¹Énª¥¦´¬µ¦³´ªµ¤Á}¦ Á}nµ ŤnÄ®oÁ¨¸É¥Â¨Åonµ¥ ®´ªÁºÊ°¸É¤¸Îµ®nµ¥Ä{»´°µ°¥¼nĦ¼ ° lyophillized ®¦º°®´ªÁºÊ°Á o¤ oÂnÂ È¹É °µ¦¦»£µ¥ÄÅæÁÁ®¨ª®¦º°Êε È®oÈÅo °¥nµÅ¦Èµ¤ 宦´®´ªÁºÊ°Á o¤ o¸É¦¦» °¥¼nĦ¼¦³l°¹Éo°µ¦ÁÈÄnªÁª¨µ´ÊÇ Án 4 - 6 ´µ®r °µÁÈ®´ªÁºÊ°Ä®o°ÂnÂ È ¡·Á«¬¸É –40 °«µÁ¨Á¸¥ ¹ÉÁ}ª·¸¸É¦³®¥´ªnµoµ°´¦µµ¦Äo °ÁºÊ°Ä浼¨³¤¸ µ¦®¤»Áª¸¥¦³l°®´ªÁºÊ°ÅoÁ®¤µ³¤ ®´ªÁºÊ°Á o¤ oÂn ȰµÄo宦´Á¦¸¥¤®´ªÁºÊ°Ä ¦·¤µ¼n°¸É³Á·¤¨Ä´®¤´´Ê¸ÊŤnεÁ}o°nµ ´Ê°µ¦Á¦¸¥¤®´ªÁºÊ°®¨´¸ÉÄo (mother culture) ®¦º°®´ªÁºÊ°¸ÉÁ·¤¨ÅĦ³®ªnµµ¦®¤´ (Intermediate culture) ÈÅo °¥nµÅ¦Èµ¤ ĵ¦Äo®´ªÁºÊ°Äµ¦®¤´ª¦o°Á oµÄ¨´¬³µ¦Á¦·Á·Ã °ÁºÊ° n°Á¡ºÉ°Ä®oµ¦ª»¤µ¦¦oµ¦ ¨³¨·É¦ °¨·£´rÁ}Åoª¥¸ Ã¥°µ«´¥µ¦¦´ ¦»°´¦µµ¦nµ¥ÁºÊ° (inoculation rate) °»®£¼¤· ¨³Áª¨µ¸ÉÄoĵ¦®¤´ ¦ª¤´Êo°¦´¬µ¤ »¨ °µ¥¡´»r °ÁºÊ°¸ÉÄoÁ¡ºÉ°Ä®oªµ¤´¤¡´r¡¹É¡µ°µ«´¥´ (symbiotic relationship) ¥´ εÁ·°¥¼n (Á¦¼, 2535)
ªµ¤¡¦n° °®´ªÁºÊ° µ¦Á¦·Á·Ã °ÁºÊ°Â¨·°¥nµn°ÁºÉ°Ä¦³®ªnµµ¦®¤´´Ê®´ªÁºÊ°¥´¤¸·¦¦¤ ¼Â¨³¦´¬µ»¤´·Á¡µ³ÅoÄnªÁª¨µ®¹ÉÁnµ´Ên°¤µÁºÊ°Â¨· °µ¼Á¸¥·¦¦¤¸É o°µ¦°¥nµ¦ªÁ¦Èª´Ê¸Ê ¹Ê´ªµ¤Á oµ´Åo (compatibility) °µ¥¡´»r ¨³£µª³Âª¨o°¤ µµ¥£µ¡Á}ε´ µ¦Á¨¸É¥Â¨¦¼Âµ¦®¤´µ£µ¡·³Á¦¸¥ªnµªµ¤¡¦n° °®´ªÁºÊ° (starter defects) ¹Éµ¤µ¦ÂnÁ} o°Ç Åo´n°Å¸Ê 1. µ¦¦oµ¦Å¤nÁ¡¸¥¡° (insufficient acid development) ÁºÉ°¤µµ{´¥¸É¤¸¨n° µ¦Á¦· °ÁºÊ°´¸É¨nµª¤µÂ¨oª 2. µ¦¦oµ¨·É¦¸Éo°¥Á·Å®¦º°·· (insufficient or abnormal flavour development) ¦Â¨·¸É¼¦oµ ¹Ê³ÎµÄ®o pH ¨¨¹¦³´¸É diacetyl ¨³ µ¦¦³°°ºÉÇ ³¼¦oµ ¹ÊĦ·¤µ¸É¤µ¡°Ä¨·£´r¤®¤´¹É³nª¥ Ä®o¤¸¨·É¦¸É¸ ´´Ê{´¥ÄÇ ¸É¤¸¨ÎµÄ®oµ¦¦oµ¦¨¨³¤¸¨¦³ÎµÄ®o µ¦¦oµ¨·É¦¨¨oª¥ ¨·É¦¸ÉŤn¸ (flavour defects) ¹É°µÁ· ¹ÊÅoÄ 13
¦³®ªnµµ¦®¤´ÅoÂn maltiness, metallic flavour, methyl sulfide flavour, green flavour ¨³ fishy flavour 3. µ¦¦oµÁ¤º° ¨³pµ (ropiness and gassiness) ¤¸É¤¸¨´¬³Á}Á¤º°ÁºÉ°µ µ¦Á¨¸É¥Â¨¨´¬³ °ÁºÊ° lactic streptococci ®¦º°ÁºÉ°µ¤¸ÁºÊ°µµ¥¡´»r ¸Éµ¤µ¦¦oµÁ¤º° Án Leuconostoc mesenteroides Ág°¨Å °µ¸ÊÁºÊ° Ág°¸ÉÁ¦·Ä°»®£¼¤·ÉεÁn Alcaligenes visolactis, Aerobactor aerogenes ¨³ Pseudomonas ¨oªÎµÄ®oÁ·¨´¬³¸ÉÁ}ªµ¤¡¦n°·¸Ê µ¦¦oµpµ °ÁºÊ°³ÎµÄ®oÁ·µ¦³¤pµ¦³®ªnµµ¦®¤´®´ªÁºÊ°¸É¤¸ªµ¤µ¤µ¦Äµ¦ ¦oµpµ ÅoÂn Streptococcus lactis sub sp. diacetylactis °µ¨n°¥pµ µ¦r°Å°°År°°¤µÄ¦·¤µ¤µ °µ¸ÊÁºÊ°Ág°Ä¨»n¤ ° Escherichia-Enterobactor ³Ä®o¨n°µ¦Á·pµ¤µ¸É» 4. ªµ¤ ¤ (bitterness) o°Á¸¥¸ÊÁºÉ°¤µµ·¦¦¤µ¦¥n°¥¨µ¥Ã¦¸ °®´ªÁºÊ° µµ¥¡´»r ¹É¡ÅoÄÁºÊ°¸ÉÄoεÁ¥Áµ¦r (cheddar cheese cultures) ¨³°µ Á}¨µµ¦Ág° °ÁºÊ°Â¸Á¦¸¥¸É¥n°¥Ã¦¸Án Streptococcus liquefaciens ¨³ÁºÊ°¸É¦oµ°¦r¹ÉÃ¥´ÉªÅµ¦Ä®oªµ¤¦o°Ân¤µ¤·Å¤n µ¤µ¦Îµ¨µ¥Åo ĵ¦¨·¨·£´r¤®¤´ ¦¦¤ª·¸µ¦¨·nªÄ®n³¨oµ¥¨¹´ ¨³Ânµ´ Á¡¸¥·Â¨³´nª °ª´»·¦ª¤´Ê· °ÁºÊ°¸ÉÄo Á}o°¥nµÅ¦Èµ¤Äµ¦¨· ¨·£´r¤®¤´ÎµÁ}o°Îµ¹¹{´¥Á®¨nµ¸Ê (Soomro et.al, 2002) 1. ª´»· (raw material) ¤Á}ª´»·®¨´¸ÉÄoĵ¦¨·¨·£´r¤®¤´¤´Åoµ´ªr®¨µ¥· Ánª´ªªµ¥Â¡³Â³¤oµ ¨³®¤¼ ¹É°r¦³° °¤Á®¨nµ¸ÊÂnµ´Â¨³ÎµÄ®o¤¸¨ n°»£µ¡ ¨³¨´¬³ °¨·£´r °¥nµÅ¦Èµ¤Ä®¦´°Á¤¦·µ·¥¤ÄoÊ太´ªÄ °»µ®¦¦¤µ¦¨·¨·£´r¤®¤´´´Êµ¦Äoª´»·ª¦¡·µ¦µ»¤´·nµÇ n°Å¸Ê (1) ¦·¤µ °Â ÈĤÁ®¨nµ¸ÊÂnµ´µ 11.2 ¹ 19.3% ¨·£´r¤®¤´¸ÉÅo ¹¤¸¨´¬³ÁºÊ°´¤´¸ÉÂnµ´´ÊÂn°¥¼nĦ¼ °Á®¨ª¹¨´¬³¸ÉÁ}Á¨ ¨oµ¥´µ¦r (2) ¦·¤µ °Á¸°¸¸É¤¸°¥¼nÄÊε¤¸ÉÄo ¤¸¨n°µ¦¦oµÁ¨ ÁºÉ°µÁ¤ºÉ°Á·ªµ¤ Á¦¸Ê¥ªÄ¤®¤´Â¨oª pH ³¨¨ εĮo渷¸Ê´´ªÁ}o° (coagulates) ¸É » isolectric pH 4.6 °µ¸Ê游ɤ¸°¥¼nÄÊε®µ¤¸É¼Á¸¥£µ¡¦¦¤µ· 14
ÅĦ³®ªnµµ¦Ä®oªµ¤¦o°n°µ¦®¤´³³°¨¤µ¦nª¤´Á¸°¸°¸oª¥ Ħ¸¸Ê³ÎµÄ®o¤¸¨n°ªµ¤µ¤µ¦Äµ¦¥¹Êε (water binding capacity) °Á¨ (3) ª´»·¸ÉÄoo°¦µ«µµ¦¸É¥´¥´Êµ¦Á¦· °ÁºÊ°Án µ¦·¸ª³ µ¦Á¤¸¸ÉÄo ĵ¦nµÁºÊ°¦ª¤´Ê¤¸É·ÁºÊ°Êε¤ÊεÁ®¨º° ®¦º°¤¸É¤¸¨·É®º (4) ª´»·¸ÉÄoÃ¥´ÉªÅÁ}¤ (whole milk) ¤ µ¤´Á¥ (skimmed milk) ¤ Á o¤ o µ¤´Á¥ ¤ µ¤´Á¥ ®¦º°¦¸¤ °µ¸Êª´»·°ºÉÇ ¸Éo°µ¦Ä µ¦¨·¨·£´r¤®¤´ÅoÂn µ¦Ä®oªµ¤®ªµ (sweeteners) µ¦Ä®oªµ¤´ª (stabilizers) ¨·É¦¨Å¤o¸ÉÄo¤ ¨³Á¨º°ª´»·Á®¨nµ¸Ê³¤ (blend) Á oµoª¥ ´Ä´nª¸ÉÁ}¤µ¦µ (a standardized mix) Á¡ºÉ°Ä®oÅo¨·£´r®¤´¸É o°µ¦ 2. »£µ¡ °®´ªÁºÊ° (quality of starter) »¨·¦¸¥rª¦°¥¼nÄ£µ¡¸ÉÁ®¤µ³¤Á¡ºÉ°Ä®oµ¦®¤´Á· ¹Ê°¥nµ¸ ¹É³ÎµÄ®oÅo ¨·£´r¤®¤´¸É¤¸»£µ¡¸Á¨·«´Êoµ¨·É ¨³¦µ· 浨·¨·£´r¤®¤´ÎµÁ} o°°°Âæµ Á¡ºÉ°j°´µ¦Ág° °ÁºÊ°Åª¦´¸É娵¥ÁºÊ°¸Éo°µ¦ ¨³»¨·¦¸¥r¸É n°Ä®oÁ·µ¦ÁºÉ°¤Á¸¥´Ê¸ÊÃ¥°µ«´¥µ¦¦°°µµ« °µ¸Ê³o°´¡ºÊ¸É宦´µ¦·´· µ¦Ã¥Á¡µ³Äµ¦Á¦¸¥¤ÁºÊ°®o°ÁȪ´»·®o°Â¦¦¼®o°¦¦» ®o°·´·µ¦ ¨³®o° °ºÉÇ ¸ÉÁ®¤µ³¤Äµ¦Îµµ
¨·£´r¤®¤´ ¨·£´r¤®¤´¸É³¨nµª¹Á}¨»n¤nµÇ ´¸Ê 1) Ã¥Á·¦r (yoghurt) Ã¥Á·¦rÁ}¨·£´r¤®¤´¸É¨·Åoµ¤¸É°»¤¤´Á¥ ¤¡¦n°¤´Á¥ ¤º¦¼ ¡¦n°¤´Á¥ ¤ o®¦º°¨·£´r¤°ºÉÇ ®¦º°nª¤ °¤Á®¨nµ¸Ê Á¡ºÉ°Ä®oÅo´nª ° °r¦³°¸É¼o°Îµ®¦´Ã¥Á·¦r·®¹ÉÇ Ã¥°µ«´¥µ¦Á¨¸É¥Êεµ¨Â¨ÃÁ}¦ ¨· °ÁºÊ° Lactobacillus bulgaricus ¨³ÁºÊ° Streptococcus thermophillus 2) ¤°³·Ã¢d¨´ (acidophilus milk) ¤°³·Ã¢d¨´Á}¤¸É¤¸µ¦®¤´ °ÁºÊ°¦·»·Í Lactobacillus acidophilus ¨oª·ÊÄ®o µ¦®¤´Á· ¹Ê£µ¥Äo£µª³¸ÉÄ®o»¨·¦¸¥r¤¸µ¦Á·Ã ¨³Á¡·É¤Îµª»¨·¦¸¥r ¤°³·Ã¢d¨´¸É Åoµµ¦®¤´Ä®¤nÇ ³¤¸Îµª»¨·¦¸¥r¤µªnµ 500 ¨oµÁ¨¨rn°¤·¨¨·¨¦· ¤oªnµ»¨·¦¸¥rÁ®¨nµ ¸Ê³¤¸Îµª¨¨Á¤ºÉ°¦³¥³Áª¨µµ¦Áȵ ¹Êȵ¤ ¤·¸Ê¤¸»nµµ therapeutic ¸ÉÁ} 15
¦³Ã¥rn°¦³µ¦¥n°¥°µ®µ¦ ´Ê¸ÊÁ¡¦µ³£µ¥Ä¤®¤´·¸Ê¥´¤¸Â¸Á¦¸¥¸É¤¸¸ª·°¥¼n ¸Á¦¸¥Á®¨nµ¸Ê³µ¤µ¦°¥¼nÅoĨεÅoÁ¨È¨³¨·¦°°¤µ ¨³n¨Äµ¦¥´¥´Êµ¦Á¦· °Â¸Á¦¸¥¸Én°Ä®oÁ·°µµ¦o°Á¸¥®´ªÁºÊ°¸ÉÄo®¤´Á}ÁºÊ°¦·»·Í ° Lactobacillus acidophilus ¹ÉÁ}»¨·¦¸¥r¸É¤¸µ¦®¤´°¥nµoµÇ ¹ÎµÁ}o°¦µ«µÁÊ°°º ºÉÁg° 宦´ ¤¸ÉÄo°µÁ}¤¸É°»¤oª¥Å ¤´®¦º°¤¡¦n°Å ¤´ÈÅoÃ¥¤³o°nµÁºÊ°n° (·¸É °»®£¼¤· 98 °«µÁ¨Á¸¥ Á}Áª¨µ 30 µ¸ ®¦º° 145 °«µÁ¨Á¸¥ 2 - 3 ª·µ¸) ¨oª¹ÎµÅÁ oµ Á¦ºÉ°Ã±Ã¤¸År¹É¤´Äoªµ¤´ 2,000 °rn°µ¦µ·Êª (psi) Á¡ºÉ°ÎµÄ®o»nª °¤Á} ÁºÊ°Á¸¥ª´Â¨³µÄ®Î oÁ¥È¨¹°»®£¼¤· 37 °«µÁ¨Á¸¥ µ´Ê¹nµ¥ÁºÊ° 2 - 5% ¨Ä¤ n¤ ¸É 37 °«µÁ¨Á¸¥ Á}Áª¨µ 10 ¹ 16 ´ÉªÃ¤ ¦³´É¤¸¦³´ªµ¤Á}¦¹ 0.7% ®¦º° ªµ¤ Á}¦Á}nµ Ánµ´ 4.7 µ´ÊεĮo¤Á¥È¨´¸¸É°»®£¼¤· 5 °«µÁ¨Á¸¥ ¹ÎµÅ¦¦» Á¡ºÉ°¦°µ¦Îµ®nµ¥Ã¥ÁÈÄ®o°Á¥È¸É¤¸°»®£¼¤· 5 °«µÁ¨Á¸¥ 3) ¸Á¢°¦r (kefir) ¨·£´r¸Ê´°¥¼nĤ¸É¤¸µ¦®¤Á¡´ ºÉ°¨·¦ ¨³Â°¨°±°¨r ¤®¤´·¸Ê¨·µ ¤Á¦¸Ê¥ª¸É¤¸ kefir grains Á¤ÈÁ®¨nµ¸ÊÁ}°»£µ °Â È °¤¸É®o¸É¤¸»¨·¦¸¥r®¨µ¥ ·ÅoÂn ¥¸r¸É®¤´Êεµ¨Â¨Ã Streptococci, Lactobacilli ¨³ Micrococci ¦ª¤´°¥¼n ¥¸r¸É¤¸°¥¼n³Ä®o¨·É¦Ä¨´¬³Á¡µ³Ân ¸Á¢°¦r º°¤¸¦·¤µÂ°¨°±°¨rÁ¨Èo°¥ ¨³¤¸¢° °¸oª¥ kefir grains ¤¸¨´¬³Á}Á¤È (seed) ¸Ê嵨¤¸ µÁnµÁ¤¨È oµªµ¨¸ Ťn¨³¨µ¥Ê宦º° µ¦¨³¨µ¥´ÉªÅ ÂnÁ¤ºÉ°Á·¤¤¨ÅÁ¤ÈÁ®¨nµ¸Ê³¡° ¹Ê¤¸¸ µª ¨³Á·Á}¨»n¤Á¨ÈÇ ¨oµ¥ °³®¨Éε (cauliflower florets) kefir grains ³¼Â¥°°Å®¨´µ¦®¤´ ¨³°µÄoÁ}®´ª ÁºÊ°Äµ¦®¤´¤¦´Ên°Å ¹É grains Á®¨nµ¸Ê³¤¸·¦¦¤n°Å°¸¤µªnµ®¹Ée ÂnoµÁÈŪo ÄÊε³°¥¼nÅo¦³¤µ®¹É´µ®rÁnµ´Ê 4) ¼¤·r (koumiss) ¼¤·r Á}¨·£´r¤®¤´·®¹É¹ÉÂnÁ·¤Á¦¸¥¤µ¤¤oµÂn{»´³Äo¤ª´ª ®¦º°¤º¦¼Â¨oªÁ·¤Ê嵨¼Ã¦ ®´ªÁºÊ°¸ÉÄo¦³°oª¥ Lactobacillus bulgaricus ¨³ ¥¸r¸É®¤´Êεµ¨Â¨Ã Ã¥Á¡µ³ÁºÊ° Torulus ¨³ Mycoderma nª bulk starter Á¦¸¥¤µnª¤ °¤ª´ª ¨³¤¤oµÁ}Áª¨µ¤µªnµ¸Éª´Ã¥®´ªÁºÊ°¸ÉÁ¦·É¤ÄoÅo¸Ê ³¤¸ªµ¤Á}¦ 1.4% ¨³¦·¤µ¸ÉÁ·¤Ä¤ª´ªÁnµ´ 30% (Ã¥¦·¤µ¦) ¨·£´r¸Ê¤¸ ¨´¬³Á} °Á®¨ª¸ µªÁµ ¤¸¨·É¦ ¨³Â°¨°±°¨r Á¦¸Ê¥ª ¨³¤¸¢° (fizzy appearance) ¨·É¦Á¡µ³¸ÊÁÉ°µ¦Â¨º · Á°µ°¨ ¨³pµµ¦r°Å°°År ¦·¤µ ° °¨°±°¨r³ÂnµÃ¥Â¦´¦³®ªnµ 1.0 - 2.5% 16
5) Cultured buttermilk Cultured buttermilk Á}¨·£´r¸ÉÅoµµ¦®¤´ °Á®¨ª (watery liquid) ¸ÉÂ¥µ ¦¸¤®ªµ®¦º°¦¸¤Á¦¸Ê¥ªÄ¦³®ªnµµ¦¨·Á¥ ¨nµªº°Á} °Á®¨ª¸ÉÁ®¨º°µµ¦{~¦¸¤Á} Á¥´ÉÁ° °¥nµÅ¦Èµ¤ ªµ¤Ânµ °¦³ªµ¦Â¥Á¥ (churning) ¨³§¼µ¨ °µ¦¦¸ ¤ÎµÄ®o»£µ¡ °¤®¤´·¸Ê¤¸ªµ¤Ânµ´´´Ê¹ª¦Á¦¸¥¤´Á°¦r¤·¨r¸É¤¸»£µ¡ ¤ÉεÁ¤° ¨³¤¸¦·¤µ¤µ¡°¸É³°ªµ¤o°µ¦¼o¦·Ã£ (šær ¨³°¦´, 2535)
· °Ã¥Á·¦r µ¦Ân· °Ã¥Á·¦r°µ«´¥®¨´µ¦n°Å¸Ê 1. ¤µ¦µ®¤µ¥ ¤µ¦µ®¤µ¥ °Ã¥Á·¦r ¹Ê´°r¦³°µÁ¤¸ °¨·£´r Án Á°¦rÁÈr Å ¤´¦·¤µ °Â ȸÉŤnÄnÅ ¤´ ( solid-not-fat ®¦º° SNF) ®¦º°¦·¤µ °Â È´Ê®¤ µ¤ ¤µ¦µ ° FAO/WHO ε®Ä®oÂn· °Ã¥Á·¦rµ¤¦·¤µÅ ¤´´¸Ê “full” (¼ªnµ 3.0%) “medium” (¦³¤µ 3.0 - 0.5%) ¨³ “low” (Éεªnµ 0.5%) 2. ¦¦¤ª·¸µ¦¨· µ¦¨·Ã¥Á·¦rÄ°»µ®¦¦¤¤¸ 2 ¨´¬³Ä®nǺ° set yoghurt ¨³ stirred yoghurt ¹Ê´¦³µ¦¨· ¨³Ã¦¦oµµµ¥£µ¡ °¤ª¨¸É³° (coagulum) Ã¥¸É set yoghurt Á}¨·£´r¸Éµ¦®¤´Á·Ä£µ³¦¦» (宦´µ¦Îµ®nµ¥¨¸) ¨´¬³ ° coagulum ¸ÉÅoÁ}¤ª¨ÁºÊ°Á¸¥ª´¸Én°ÁºÉ° ¨³¤¸¨´¬³Á} °Â ȹÉÁ®¨ª nª stirred yoghurt Á}¨·£´r¸ÉÅo®¨´µµ¦®¤´Á· ¹ÊÄ´¸É¤¸µ¦®¤´Á¦¸¥¦o°¥Â¨oª¨´¬³ ° coagulum ¸ÉÅo³Â®¦º°Â¥µ´n°¸É³ÎµÅnµµ¦Ä®oªµ¤Á¥È®¦º°¦¦» ´ª°¥nµ®¹É °Ã¥Á·¦r¦³Á£ stirred yoghurt ¸ÊÅoÂn ¤Á¦¸Ê¥ª ®¦º° fluid yoghurt ¹É¤¸¦·¤µ °Â È Á¡¸¥ 11% ®¦º°o°¥ªnµÁ}o Ä£µ¡ 2.2  ´Ê° °¦¦¤ª·¸µ¦¨· set ¨³ stirred yoghurt ¦³Á£¸É¤¸Å ¤´Éε 17
£µ¡ 2.2 ´Ê°µ¦¨· set ¨³ stirred yoghurt ¦³Á£¸É¤¸Å ¤´Éε ¸É¤µ : Chandan (1982)
3. ¨·É¦ µ¦Á·¤¨·É¦Á oµÅÄÃ¥Á·¦rεĮoÅo¨´¬³¨·£´r¸ÉÂnµ´´¸Ê º° natural ®¦º° plain yoghurt ¹ÉÁ}ª·¸´ÊÁ·¤¤¸¦µ·Á¦¸Ê¥ªÂ®¨¤ fruit yoghurt Åoµµ¦Á·¤ ¨Å¤o ¨³µ¦Ä®oªµ¤®ªµÄ natural yoghurt ¨³ flavoured yoghurt Åoµµ¦Á·¤¨·É¦ ¨³¸Ânª °¨Å¤o £µ¡ 2.3  ´Ê°¦¦¤ª·¸µ¦¨·Ã¥Á·¦r¸É¤¸µ¦Á·¤¨Å¤o®¦º° ¨·É ¨³¦ °¨Å¤o¨³Á}Ã¥Á·¦r·¸É¤¸Å ¤´Éε´ÊÄ sundae style (set type) ¨³ swiss style (stirred type) 18
Sundae Style Swiss Style Skim Milk Low-fat Milk Cream , Non-fat Dry Milk
£µ¡ 2.3 ´Ê°¦¦¤ª·¸µ¦¨·Ã¥Á·¦r·Å ¤´Éε¸É¤¸µ¦Á·¤¨·É ¨³¨Å¤o ¸É¤µ : Chandan (1982)
4. ¦³ªµ¦®¨´µ¦®¤´ £µ¥®¨´µ¦®¤´Á¦È·Ê¨oªÃ¥Á·¦r¸ÉÅo°µÎµÅnµ¦³ªµ¦nµÇ Án µ¦Ä®o ªµ¤¦o° µ¦ÂnÂ È µ¦ÎµÄ®oÁ o¤ o µ¦ÎµÂ®o®¦º°ª·¸°ºÉÇ ´ÂÄ£µ¡ 2.4 ¹É³Á®Èªnµ µ¦Ä®o¨·É¦ µ¦Ä®oªµ¤®ªµ µ¦Ä®oªµ¤´ªÂ¨³¸µ¤µ¦Á·¤¨Ä¨·£´rÄÈÅo ¨³Ä¦¸ ° fluid yoghurt ³¨·µ¤ µ¤´Á¥ ¸É¤¸¦·¤µ °Â ȵ¤¸Éo°µ¦ (ª¦µª»·, 2538) 19
£µ¡ 2.4 ¦³ªµ¦nµÇ ¸ÉÄoĵ¦¨·Ã¥Á·¦r·nµÇ ¸É¤µ : Robinson ¨³ Tamime (1981)
Nakazawa ans Hosono (1992) Ân¨·£´r¤®¤´Á}¨»n¤¥n°¥Ç Åo´¸Ê x ·ÁÈ (set type) ÁnÃ¥Á·¦r·ÁÈ (Set yoghurt) x ·ª (stirred type) Án Ã¥Á·¦r·ª ¨³·ª·Å¨r x ·Á®¨ª®¦º°ºÉ¤Åo (liquid/drinking type) Án ¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤¥µ¼¨r Ayran ¨³ Kefir x ·ÂnÂ È (frozen type) Án Å°«¦¸¤Ã¥Á·¦r (frozen yoghurt) x ·Â®o·Á o¤ o¨³¹ÉεÁ¦È¦¼ (dried concentrated/instant type) Án Labneh leben ¨³ Kishk 20
µ¦µ 2.2 ¨·£´r¤®¤´Â®¨nεÁ·Â¨³· °ÁºÊ°Á¦·É¤o
ºÉ°¨·£´r ®¨nεÁ·· °ÁºÊ°Á¦·É¤o Jogurt/Eyran/Ayran »¦¸ ¨³ ¦³Á«°ºÉÇ S.thermophilus,L.bulgaricus Brano ´¨µÁ¦¸¥ L.bulgaricus,S.thermophilus ¨³¥¸r¸É®¤´Â¨ÃÅo Prokish Á°Á¸¥°´¢¦·µ ¨³¥»Ã¦ »¨·¦¸¥r¨·Å¤n¦µ· S.Thermophilus ,¤´³¦nª¤´ L.Bulgaricus Prostokvasha ³ª´°°¨µ ¨³°¨ nµ S.thermophilus,L.bulgaricus Leban/Laban Á¨µ° ¨³ ¨»n¤°µ®¦´ S.thermophilus,L.bulgaricus Zebady(Zabady) °¸¥·r ¼µ S.thermophilus,L.bulgaricus Mast/Dough °·®¦nµ ¨³°´¢µ·µ S.thermophilus,L.bulgaricus Roba °·¦´ S.thermophilus,L.bulgaricus Mazun/Matzoon/Mutsun/ °µ¦rÁ¤Á¥¸ Thermophillic lactococci ¨´ Matsoni lactobacilli Katyk Transcaucasia S.themophilus, Thermobacterium spp. Dahi/Dadhi/Dahee °·Á¸¥ S.lactis , S.lactis spp. Diacetylactis,S.cremoris Leuconostoc spp. 宦³ Sweet dahi S.thermophilus, L.bulgaricus 宦³ sour dahi Tiaourti ¦¸ S.thermophilus,L.bulgaricus Hooslanka East carpathian mountains S.lactis,S.thermophilus L.bulgaricus and lactose . fermenting yeasts Zhentitsa East carpathian mountains »¨·¦¸¥r¦Â¨·¤®¨µ¥ ·Â¨³¥¸r Gioddu ÁÃ誳Á¸¥ S.thermophilus,L.bulgaricus Karmdinka èr L.acidophilus Tarho ±´µ¦¸ S.thermophilus,L.bulgaricus Tykmaelk/Ymer Á¤µ¦r Ln.citromophilus , S.cremoris, S.lactis var.diacetylactis 21
µ¦µ 2.2 ¨·£´r¤®¤´Â®¨nεÁ·Â¨³· °ÁºÊ°Á¦·É¤o(n°)
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Viili (Fiili) ¢d¨r S.lactis , S.cremoris,S.lactis Var.diacetylactic,Ln.citrovorum Geotricum candidum Filmjolk/Fillbunke/Surmelk/ ¨»n¤¦³Á«Â·ÁÁª¸¥ S.cromoris,S.lactis var. Taettemjolk/Tettemelk diacetylactis,Ln.spp. Riazhenka ¥¼Á¦ S.thermophilus,L.bulgaricus Varenets ®£µ¡ÃÁª¸¥ S.thermophilus,L.bulgaricus Skyr Å°r¨r »¨·¦¸¥r¦Â¨·¤®¨µ¥ ·Â¨³¥¸r Gruzovina ¥¼Ã¨µÁª¸¥ »¨·¦¸¥r¦Â¨·¤®¨µ¥ ·Â¨³»¨·¦¸¥rÃ¥Á·¦r Kefir/Donskaya/Varentes ®£µ¡ÃÁª¸¥ S.thermophilus,L.bulgaricus Kurunga/koumiss/Ryszhenka/Gust mesophillic lactic acid bacteria Tarag ¤°ÃÁ¨¸¥ S.thermophilus Shosim/Sho/Thara Áµ¨ S.lactis, S.lactis spp. Diacetylactis,S.cremoris, Leuconostoc spp.,S. Thermophilus,L.bulgaricus
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£µ¡ 2.5 ¦³ªµ¦¨·Ã¥Á·¦r´ÊÁ·¤ ¨³¦³ªµ¦¨·Ä{»´ ¸É¤µ : £ª´ (2544) 23 x ¦¼Â °¨·£´rÃ¥Á·¦r·nµÇ ¤¸´¸Ê Ã¥Á·¦r·ÁÈ (set yoghurt) º° Ã¥Á·¦r¸É¨·Ã¥ÎµÊε¤¸Énµ¦³ªµ¦¦´ ¤µ¦µ µ¦Ã±Ã¤·År µ¦Ä®oªµ¤¦o° ¨³Á¡µ³ÁºÊ°Á¦·É¤oÁ}¸ÉÁ¦¸¥¦o°¥Â¨oª¤µ ¦¦»¨Ä£µ³¥n°¥¸É³Äoε®nµ¥®¦º°¦·Ã£ ¨oªÎµÅ®¤´Ä®o¤³°Ä£µ³´Ê ¹Îµµ¦ÂnÁ¥ÈÁ¡ºÉ°ÁȦ´¬µÃ¥Å¤n¤¸µ¦ª ĵ¦¦·Ã£¼o¦·Ã£o°ª®¦º°´¦´ ¦³µ´¸ÈÅo Á¤ºÉ°ÎµÁ}Ã¥Á·¦r¨Å¤o (fruit yoghurt) ȳε¨Å¤o¸ÉεÁ} fruit preparation Än¨¸Éo£µ³n°Â¨oª¹Á·¤¤¸ÉÁ¡µ³ÁºÊ°Á¦·É¤o¨Å ε٤´Á¤ºÉ°o°µ¦ ¦·Ã£¼o¦·Ã£o°ªÄ®oÃ¥Á·¦r ¨³¨Å¤oÄ®o¤´n°¦·Ã£ Ã¥Á·¦r·ª (stirred yoghurt) º°Ã¥Á·¦r¸É®¤´Ä®o¤³°Ä´®¤´Ä®n Á¦¸¥¦o°¥Â¨oª¹ÎµÃ¥Á·¦r¤µ¦¦»¨Ä£µ³¸É³Äoε®nµ¥®¦º°¦·Ã£ oµÁ}Ã¥Á·¦r¨Å¤o ª (stirred fruit yoghurt) ¼o¨·³Än¨Å¤o¨Ä£µ³n° ¨oª¹Á·¤Ã¥Á·¦r¸É®¤´Â¨oª ¨Å ¼o¦·Ã£¥´o°Ã¥Á·¦r´¨Å¤oÄ®o¤´n°¦·Ã£ Ã¥Á·¦r¨Å¤o·ª·Å¨r (swiss style fruit yoghurt) Ã¥Á·¦r·¸Ê Á¤ºÉ°®¤´¤ Á}Ã¥Á·¦rÄ´®¤´ ¨³¤¨Å¤o¨ÅÄ´®¤´ªÄ®oÁ oµ´ µ´Ê¹ÎµÃ¥Á·¦r¸É¤ ¨Å¤oª¤µ¦¦»£µ³¸ÉÄoε®nµ¥ ĵ¦¦·Ã£¼o¦·Ã£Å¤nεÁ}o°Ä®oÃ¥Á·¦r¤ ´¨Å¤o ¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤ (drinking yoghurt or yoghurt drink) Á}¨·£´r¸ÉεÁ°µÃ¥Á·¦r ¸É®¤´Ä´®¤´¤µÁº°µoª¥ÊεÁºÉ°¤ ¨³/®¦º°Êε¨Å¤o ¨oª¦»ÂnÃ¥Á·¤µ¦Áº° °µ®µ¦ Án¸ ¨·É¨Å¤o ¨³µ¦Á¦·¤ªµ¤´ªÁ}o¹¤¸¨´¬³Á®¨ªµ¤µ¦ºÉ¤Åo (¨¼´¦r, 2522)
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µ¦µ 2.4 ³Á®ÈÅoªnµ¨·£´rÃ¥Á·¦rÄo°¨µnªÄ®nŤnÅoÄoÁºÊ°»¨·¦¸¥r Probiotic Á}ÁºÊ°Á¦·É¤onª¨·£´r¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤´Ê¤¸µ¤·¸ÉÄo»¨·¦¸¥r Probiotic ¦nª¤´»¨·¦¸¥rÃ¥Á·¦rĵ¦¨·º° ¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤ ¦µ®¤¸ Á¢¦Â°r¢¦»¸Ê Ã¥Á·¦r´¸É Å𠨳åÁ·¦rÁrÁ¨n Lc1 ¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤¸µÁoŤn¦³»Ân´ªnµÁ}¨õ·¨¨´ ·Ä nª¥µ¼¨rÁ}¨·£´r¸É¤¸¦·¬´Â¤nº° Yakult Honsha ®n¦³Á«¸É»i¥µ¼¨rÄo L. casei (Shirota strain) ·Á¸¥ªÁ}ÁºÊ°Á¦·É¤oĵ¦¨·
µ¦Äoµ¦Á¦·¤ªµ¤´ªÄ¨·£´r¤®¤´ Ä°»µ®¦¦¤µ¦¨·Ã¥Á·¦rµ¦´Ê³¤¸µ¦Á·¤µ¦Á¦·¤ªµ¤´ª (Stabilizer) ¨Åoª¥ Á¡ºÉ°Ä®oÃ¥Á·¦r¸É¨·Åo¤¸ªµ¤´ª ªµ¤ o®ºÁºÊ°´¤´ ¨³ªµ¤¦¼o¹Äµ¸É¸ ¹Ê µ¦Á¦·¤ªµ¤´ª¸Éµ¤µ¦Îµ¤µÄoĨ·£´r¸Éε®Ã¥ FAO/WHO (1976) ¨³ Food and Drug Act (1975, 1980) ¤¸®¨µ¥· (Tamime and Robinson, 1985) °µ´Ê¥´¤¸µª·´¥Á¸É¥ª´µ¦Äoµ¦Á¦·¤ªµ¤´ªÄ ¨·£´rÃ¥Á·¦r¨³ ¨·£´rĨoÁ¸¥ Án Å°«¦¸¤Ã¥Á·¦r ¨³Á¥¨¨¸ÉÃ¥Á·¦rÁ}o µª·´¥¸ÉÄoµ¦Á¦·¤ªµ¤ ´ª³Äo´Êµ¦Á¦·¤ªµ¤´ªÁ¡¸¥·Á¸¥ª®¦º°®¨µ¥·¤´n°Å¸Êº°´ª°¥nµµ ª·´¥Á¸É¥ª´Ã¥Á·¦r¸ÉÄoµ¦Á¦·¤ªµ¤´ª 28
µ¦µ¸Â (Carrageenan) ÄoÁ}µ¦¸ÉεĮoÁ·Á¨ (Gelling agent) µ¦µ¸Â¦nª¤´ µÂ¨Ã¤ ¨³Ã¨´r¸´¤ (locust bean gum) ÄoÁ}µ¦Á¦·¤ªµ¤´ª ¨³µ¦Á· Á¨ ÃÁ¸¥¤°´¨·Á (sodium alginate) ÄoÁ}µ¦Á¦·¤ªµ¤´ª µ¦r°¸Á¤·¨Á¨¨¼Ã¨ (CMC) ÄoÁ}µ¦Á¦·¤ªµ¤´ªÄo beta-cyclodextrin Á¡· ¨³ÃÁ¸¥¤°´¨·Áĵ¦´ Á¨º°µ¦Á¦·¤ªµ¤´ªÄÅæ¸Ã¥Á·¦r (Bi-protein yoghurt) ÄoÁ¨µ·¸Á°È¤¸ Á¡ ·´¤°³ÁÁ¸¥ (gum acacia) ¨³ÃÁ¸¥¤°´¨·Áĵ¦«¹¬µ°··¡¨ °µ¦Á·¤Â°µ®µ¦n ÄÃ¥Á·¦r«¹¬µµ¦Äo µ¦r Á¨µ· ¨³ÃÁ¸¥¤°´¨·Áĵ¦´Á¨º°µ¦Á¦·¤ªµ¤´ª ÄÃ¥Á·¦r¤¤ª´ª´¤´ÉªÁ®¨º° ¨³Åo¤¸µ¦«¹¬µ¨ °µ¦ÄoÁ¡· ¨³¦°Á°¦¸ÉÁ o¤ o¸É¤¸n°ªµ¤ o®º °Ã¥Á·¦r (ª¦µª»· ¨³¦»n£µ, 2532)
µ¦µ 2.5 ·Â¨³®oµ¸É °´¤·nµÇ ¸ÉÄoĵ¦¨·Ã¥Á·¦r ´¤µ¦¦¤µ· ´¤°»¡´»r °´¤¦¦¤µ· ´¤´Á¦µ³®r (Natural gums) (Modified gums) (Synthetic gums) µ¡º°»¡´»r °Á¨¨¼Ã¨ (1) ᨷÁ¤°¦r*(Polymers) Exudates Carboxymethylcellulose Polyvinyl derivatives Arabic (1, 3) Methylcellulose Polyethylene derivatives Tragacanth (1) Hydroxyethycellulose Extracts Hydroxypropylcellulose Pectin (2, 3) Hydroxypropylmethylcellulose Seed flours Microcrystallinecellulose Locust (carob) (1) Guar (1) µµ®¦nµ¥³Á¨ µµ¦®¤´ °»¨·¦¸¥r Extracts Dextran Agar (2, 3) Xanthan (1, 3) Alginate (1, 2, 3) Carrageenan (2, 3) Furcelaran (1, 2, 3) µ´¡º (Cereal Starch) °»¡´»r°ºÉÇ oµªÃ¡ Low-methoxy pectin oµªµ¨¸ Propylene glycole alginate Pre-gelatinised starches Modified starch Carboxymethyl starch Hydroxyethyl starch 29
µ¦µ 2.5 ·Â¨³®oµ¸É °´¤·nµÇ ¸ÉÄoĵ¦¨·Ã¥Á·¦r (n°)
´¤µ¦¦¤µ· ´¤°»¡´»r °´¤¦¦¤µ· ´¤´Á¦µ³®r (Natural gums) (Modified gums) (Synthetic gums)
Hydroxypropyl starch µ´ªr (1, 2, 3) Á¨µ· Á¸ µ¡º´ (vegetable) 渵´ÉªÁ®¨º°
* ε´µ¦ÄoÄÃ¥Á·¦r Á¡¦µ³Å¤nÅoε®Ã¥ Food and Drug Act (1975, 1980) ®¦º° FAO/WHO (1976) ¦·¤µµ¦ Äo °µ¦Á¦·¤ªµ¤´ªÁ®¨nµ¸Êε®Ä®oÄoÅoŤnÁ· 5000 ¤·¨¨·¦´¤n°·Ã¨¦´¤ ¥ÁªoÁ¡· Á¨µ·Â¨³ starch´ª Á¨ ĪÁ¨È®oµ¸É °Å±Ã¦°¨¨°¥r (1) Thickener (2) Gelling agent ¨³ (3) Stabiliser ¸É¤µ : Tamime and Robinson (1985)
{´¥¸É¤¸¨¦³n°»£µ¡ °Ã¥Á·¦r ĵ¦¨·¤Á¦¸Ê¥ª¸É¤¸»£µ¡¸´Ê´ªnµÁ}Á¦ºÉ°¸É¥»n¥µ¡°¤ª¦ ´Ê¸ÊÁ¡¦µ³¤¸{´¥ ¸ÉÁ¸É¥ª o°´»£µ¡ °¨·£´r¤µ ¨³ª»¤¥µ εÁ}o°°µ«´¥ªµ¤¦¼o ªµ¤Îµµ¤µ ¸É³ÎµÄ®oÅo¨·£´rµ¤¸Éo°µ¦ ¨·£´r¸É¨·Åo³¤¸¦µ·¤ÉεÁ¤° ¤¸¨·Éµ¤o°µ¦ ¤¸ªµ¤¦¼Å¤n¤¸µ¦Â¥´ªÁ}´Ê»£µ¡´¨nµªÁ}¨¤µµµ¦Á¦¸¥¤Êε¤ ¨³µ¦Á¦¸¥¤ »¨·¦¸¥r {´¥¸ÉÁ¸É¥ª o°´»£µ¡ °µ¦¨·ÅoÂn 1. ¤µ¦µ °Êε¤¸ÉÄo 2. µ¦¸É³ÎµÄ®o¤¸ªµ¤¦¼ 3. ñä¸ÅÁ´ 4. ªµ¤¦o°¸ÉÄo 5. µ¦Á¦¸¥¤»¨·¦¸¥r 1. ¤µ¦µ °Êε¤ Êε¤·¸É³Îµ¤µÎµ¤Á¦¸Ê¥ª³o°Á}Êε¤¸É¤¸»£µ¡¸¤µ Ã¥Á¡µ³µoµ¦·¤µ»¨·¦¸¥r³o°¤¸Îµªo°¥oª¥ ¦ª¤´Ê³o°¦µ«µµ¦Ág° °ºÉÇ ¸É³¤¸¨ÎµÄ®o³´µ¦Á¦·Á·Ã °»¨·¦¸¥r ¸É³Îµ··¦·¥µ Án µ¦·¸ª³ ÅoÂn Á¡··¨· ¸¦·Ã° µr ®¦º°µ¦¸ÉÄoĦ³µ¦Îµªµ¤³°µ Êε¤¸É¦´¤µµÁ¬¦³ 30
o°´Á¨º°°¥nµ¸ ¨³o°¤¸µ¦¦ª°°¥nµ¸oª¥ ¤µ¦µ °Êε¤¸É³Äo ¤¸nª ¦³°®¨µ¥´ª¸É³o°Ä®oÁ}ŵ¤¤µ¦µ ÅoÂn x Å ¤´¦·¤µÅ ¤´ °¤Á¦¸Ê¥ª³¤¸¦·¤µÁnµ´¦·¤µÅ ¤ÄÊε¤·¸É³ Äo ¹É°µ³ÎµÂÅoÁ} 3 ¨»n¤º° - ¤Á¦¸Ê¥ª¸É¤¸Å ¤´¼º°³¤¸¦·¤µÅ ¤´Á· 3% ¹ÊÅ - ¤Á¦¸Ê¥ª¸É¤¸Å ¤´Éεº°³¤¸¦·¤µÅ ¤´°¥¼nÄnª 1.5 - 3% - ¤Á¦¸Ê¥ª¸ÉŤn¤¸Å ¤´º°³¤¸¦·¤µÅ ¤´o°¥¤µ º° ¦³¤µ 0.1% Ánµ´Ê x ¦·¤µ °Â È´Ê®¤ (dry solid content) ¦·¤µ °Â ÈÄÊε¤´Ê®¤³¦ª¤ ¹Á¸ Å ¤´Êεµ¨Â¨Ã ¦·¤µÁ¸ÄÊ夤¸¨n°ªµ¤´ª °¤ Á¦¸Ê¥ª°¥nµ¤µ ¦·¤µ °Â ÈĤÁ¦¸Ê¥ª³¦³¤µ 12 - 18% µ¦ÎµÄ®oÊε¤Åo ¦·¤µ °Â ÈŤµ¦µ°µ³¦³o εå - µ¦¦³Á®¥Êε°°µÊε¤oµ (¦³¤µ 10 - 20%) - Á·¤¤ o - Á·¤®µ¤ ¦·¤µ¸ÉÁ·¤¦³¤µ 0.5 - 2.5% Ã¥Êε®´ µ¦³µ¦r °µ¦¨·¡ªnµµ¦ÎµÄ®o¦·¤µ °Â ÈÄÊε¤¼ ¹ÊÃ¥ µ¦¦³Á®¥Êε°°³ÎµÄ®oÅo¤Á¦¸Ê¥ª¸É¤¸ªµ¤´ª¼Â¨³¤¸·ªÁ}¦³µ¥¤´¸ªnµ µ¦Äo ¤Á·¤ 2. µ¦¸É³ÎµÄ®o´ª µ¦¸É³ÎµÄ®o¤Á¦¸Ê¥ª¤¸ªµ¤´ª¼ ¹ÊεÁ}o°Änµ¦¸ÉεĮo ´ªoª¥ (stabilizer) °µ´Ê°µ³¤¸µ¦Änµ¦Ä®oªµ¤®ªµ (sweetener) µ¦´Ê³¤¸µ¦ Á·¤¡ªª·µ¤·oª¥ Ánª·µ¤·¸ µ¦¸ÉεĮo´ª³·¥¤Äoµ¦¸É¤¸»¤´·¸ÉεĮoÁµ³´ °  ÈÄÊε¤ Á¡ºÉ°Ä®oªµ¤¤ÉεÁ¤° °ÁºÊ° °¤Á¦¸Ê¥ªÅ¤nÂÂ¥ ¦·¤µ¸ÉÄo´Ê¼o¨·Ân¨³ ®nεÁ}³o°«¹¬µ ¨³¨°ÄoÁ° oµÄoĦ·¤µ¸É¼Á·Å³ÎµÄ®oÁºÊ°´¤´Â È Á·Å ĵ¦¨·¤Á¦¸Ê¥ª¦¦¤µ¸É¸ ŤnεÁ}o°Äoµ¦¸ÉεĮo´ªÂnoµ¤¸µ¦Á·¤¨Å¤o ¨ÅεÁ}°¥nµ¤µ¸Éo°Äoµ¦¸ÉεĮo´ª µ¦¸ÎµÄ®o´ª¸É·¥¤Äo´ÅoÂn Á¨µ· Á· ¨³°µµ¦r ¦·¤µ¸ÉÄo¦³¤µ 0.1 - 0.5% ĵ§¼Êε¤°µ³³°¹ÉŤn¸ ´Ê¸ÊÁ¡¦µ³ µÅ°°°rª (positive ions) ´´ÊεÁ}o°¤¸µ¦Á·¤µ¦¡ªÂ¨Á¸¥¤Å°°°r Án ¨Á¸¥¤¨°Å¦r ¨Å 0.02 - 0.04% ȳεĮo³°¸ ¹Ê 31
µ¦Á·¤µ¦¸ÉÄ®oªµ¤®ªµ ¤´³ÄoĦ¼ °¨¼Ã ®¦º°¼Ã¦ ĵ¦¨·¤Á¦¸Ê¥ª ¸ÉÄn¨Å¤o¦·¤µ¸ÉÁ·¤¦³¤µ 7 - 15% nª¨Å¤o³¤¸Ê嵨°¥¼n¦³¤µ 50% ĤÁ¦¸Ê¥ª¸É ŤnÅoÁ·¤¨Å¤o°µ³Á·¤µ¦¸ÉÄ®oªµ¤®ªµoµ 3.µ¦Ã±Ã¤¸ÅÁ´ µ¦Ã±Ã¤¸ÅrÊε¤n°¸ÉÄo¨·³¤¸nªÎµÄ®oªµ¤¤ÉεÁ¤° ¨³ ªµ¤´ª °ÁºÊ°¤Á¦¸Ê¥ª¸ ¹Êªµ¤Ân °ÁºÊ°¤Á¦¸Ê¥ª³Á¡·É¤ ¹ÊoµÁ¡·É¤ªµ¤´¸ÉÄoÄ µ¦Ã±Ã¤¸Årªµ¤´·¸ÉÄo º° 20 kPa Ã¥Äo°»®£¼¤·¦³®ªnµ 55 - 70 °«µÁ¨Á¸¥ µ¦Ã±Ã¤¸År¥´¤¸nªÎµÄ®oj°´µ¦Â¥´ª °¤Á¦¸Ê¥ªoª¥ 4. ªµ¤¦o°¸ÉÄo µ¦Ä®oªµ¤¦o°ÂnÊε¤n°¸ÉÄo¨·¤Á¦¸Ê¥ª¤¸¦³Ã¥r®¨µ¥¦³µ¦ º° . εĮoÊ夤¸ªµ¤Á®¤µ³¤Äµ¦Á}°µ®µ¦Ân»¨·¦¸¥r¥·É ¹Ê . εĮoµ¦³° °Ê夤¼¦r ¨³ÎµÄ®o³°¤¸ªµ¤ÂnÁ¡¸¥¡° . εĮo®µÁ¥Å¤nÂ¥°°µ³°¸É¨oª°»®£¼¤· ¸ÉÁ®¤µ³¸É»¸ÉÄo´Êε¤º° 90 - 95 °«µÁ¨Á¸¥ Á}Áª¨µ 5 µ¸ ¹É°»®£¼¤·¸ÊÁ¡¸¥¡°´µ¦ÎµÄ®oæ¸ ° ®µÁ¥³° εĮoÁºÊ°¤Á¦¸Ê¥ªÂn¥·É ¹Ê 5. µ¦Á¦¸¥¤»¨·¦¸¥r ´Ê°¸ÊÁ}°¸Éε´ Á¡¦µ³µ¦Á¦¸¥¤»¨·¦¸¥r¸É³Äo o°¤¸ µ¦ª»¤oµ» ¨´¬³Á}°¥nµ¸ µ¦Á¦¸¥¤»¨·¦¸¥r³o°Îµoª¥ªµ¤¦³¤´¦³ª´¸ÉŤnÄ®o »¨·¦¸¥r¸ÉŤn¡¹¦³r¨¨°¤Á oµÅ »¨·¦¸¥r¸ÉÄo³Á}¸Á¦¸¥ Streptococcus thermophilus ¨³ Lactobacillus bulgaricus °´¦µnª °¦·¤µ °Â¸Á¦¸¥¦³®ªnµ´Ê° · °µ³Á} 1 : 1 ®¦º° 2 : 1 ´nª¸Ê°µ³Å¤nÁ}¨oµµ¦ª»¤°»®£¼¤·¸ÉÄoŤn Ân° »¨·¦¸¥r¸ÉÁ¦¸¥¤Åªo³o°¤¸»Ä®¤n°¥¼n¨°Áª¨µ Á¡¦µ³oµÄo»Ánµ»¨·¦¸¥r´Ê°µ³ Ťn È¦ ¨³°´¦µnª °»¨·¦¥¸ rÈ°µ³Á¨¸É¥Â¨oª¥ Á¡¦µ³Á¤ºÉ°°¥¼noª¥´µÇ ¨õ·¨¨´¤´³¤¸¦·¤µ¤µªnµ¹É³¤¸¨ÎµÄ®o¤Á¦¸Ê¥ª¤¸¦Á¦¸Ê¥ª´Á¡¦µ³¤¸¦¼ µ¦Á¦¸¥¤»¨·¦¸¥ro°¦µ«µ»¨·¦¸¥r°ºÉÇ Án¦µ¥¸r ®¦º° ¸Á¦¸¥ µ¦¸É¤¸ »¨·¦¸¥r°ºÉÁ oµÅ Án °¦r °Â¸Á¦¸¥¹ÉÁ}¦³Á£¸Éµn°ªµ¤¦o°Åo¼ ³Îµ Ä®o¤Á¦¸Ê¥ª¤¸¦ ¤Åo ®¨´µµ¦¨·¤Á¦¸Ê¥ªÅo¤µ¦µÂ¨ªo ³¤¸¦°¥¼n¦³¤µ 0.9-1.0% ¨³¦³Á¡·É¤ ¹Ê¦³®ªnµ¸É¤¸µ¦ÎµÅ´Îµ®nµ¥ Ã¥Á¡·É¤ ¹ÊÁ} 1.5% ªµ¤Á}¦Á}nµ ³ª´Åo 4.4 - 4.2 ¦·¤µ °¦³ª»¤Åooª¥°»®£¼¤·¸ÉÄon¤ (incubation) ¨³µ¦ÎµÄ®o Á¥È¨Á¤ºÉ°Åo¦¡°Á¡¸¥ µ¦¤¸¦¼¤´³ÎµÄ®o¤Á¦¸Ê¥ª¤¸¦µ· ¨³¨·É®°¤¤µ ¹Ê (Á¦¼, 2535) 32
¦¦¤ª·¸µ¦¨·Ã¥Á·¦r ¦¦¤ª·¸µ¦¨·Ã¥Á·¦rÄæµÅ¤nªnµ³Á}·ÁȨ³/®¦º°·ª µ¤µ¦¦» ¦³ªµ¦ ¨³Á¦ºÉ°¤º°¸ÉÄo´Ä£µ¡ 2.7 ¹É¦³°oª¥
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¸É¤µ : Robinson ¨³ Tamime (1981) 33
1. µ¦Á¦¸¥¤nª¤ÁºÊ°o ÁºÉ°µ°r¦³° °¤¸ÉÅoµ´ªr·nµÇ Ânµ´´´ÊÁ¤ºÉ°Îµ¤µnµµ¦ ®¤´³ÎµÄ®oÅoÃ¥Á·¦r¸É¤¸»£µ¡Ânµ´ÁnÁ¤ºÉ°Å ¤´Ä¤¤¸¦·¤µ¼ªnµ ³Ä®o Ã¥Á·¦r¸É¤¸ªµ¤Á}¦¸¤¼µ¤Åoª¥ °µ¸Ê¨oªÊεµ¨Â¨Ã¸É¤¸°¥¼nĤ³¼ÄoÁ} ®¨n°µ®µ¦ °®´ªÁºÊ°Ã¥Á·¦rnªÃ¦¸ÈÁ}µÁ®»¸ÉεĮoÁ·µ¦³°Á} coagulum ¹É¤¸¨Á¸É¥ª o°´ªµ¤®º (consistency/viscosity) °¨·£´r´´ÊÁ¡ºÉ°Ä®oÅo¨·£´r Ã¥Á·¦r¸É¤¸»£µ¡µ¤¤µ¦µ¹ÎµÁ}o°¦´»£µ¡ °¤n°µ¦®¤´´¸Ê µ¦¦´¦·¤µÅ ¤´Ä¤ Ħ³Á«°´§¬ ¦·¤µÅ ¤´Á¥Ã¥Á¨¸É¥Ä¤³°¥¼n¦³®ªnµ 3.7 - 4.2% Ân¦·¤µ Å ¤´ÄÃ¥Á·¦rÁ¨¸É¥ 1.5% (宦´ medium-fat yoghurt) ®¦º° 0.5% (宦´ low-fat yoghurt) ĵ¦¦´¦·¤µÅ ¤´Ä¤¸ÉÄoÁ¦¸¥¤Ã¥Á·¦r³Äo®¨´µ¦ ° Áe¥´ ª¦r (Pearson’s square) µ¦¦´¦·¤µ °Â ȸÉŤnÄnÅ ¤´ (SNF) Ĥ ´nª °¦·¤µ °Â ȸÉŤnÄnÅ ¤´ (ÅoÂnÊεµ¨Â¨Ã æ¸ ¨³Á¨º°Â¦n) Ĥ¸ÉÄoĵ¦¨·Ã¥Á·¦r ³¤¸¨Ã¥¦n°»¤´·µµ¥£µ¡ ¨³¨·É¦ °Ã¥Á·¦r Ã¥Á¡µ³ªµ¤®º ° coagulum Ã¥´ÉªÅ¦·¤µ °Â ÈÄ °¤¸ÉÄoÁ¦¸¥¤Ã¥Á·¦r¥·É¼ ¨·£´r»oµ¥¸ÉÅo³¤¸ªµ¤®º¤µ ¹Êµ¤Åoª¥ Ã¥Á·¦r¸É¤¸»£µ¡¸Åoµ¤¸É¤¸¦·¤µ °Â È´Ê®¤ (total solid ®¦º° TS) Ánµ´ 15 - 16% ¹É³ÎµÄ®oÅoÃ¥Á·¦r¸É¤¸ TS 14 - 15% °¥nµÅ¦Èµ¤oµ TS Ä °nª¤¸ÉÄoÁ¦¸¥¤Ã¥Á·¦r¼ªnµ 25% ¹ÊÅ ³ÎµÄ®oªµ¤ºÊ¨¨ ¨³¤¸¨Ä®o·¦¦¤ °ÁºÊ°¨¨oª¥µ¦Á¡·É¤¦·¤µ °Â È°µ¦³ÎµÅoÃ¥°µ«´¥ª·¸µ¦nµÇ Án µ¦Ä®oªµ¤¦o°Á¡ºÉ°Á¡·É¤ªµ¤Á o¤ o µ¦Á·¤¤ Á¸°¸ whey powder ®¦º° butter milk powder Á}o (Á¦¼, 2523) µ¦Á·¤µ¦´ª ª´»¦³r®¨´Äµ¦Á·¤µ¦´ª (stabilizers) Ä °¤¸ÉÄoÁ¦¸¥¤Ã¥Á·¦r´Ê¸Ê Á¡ºÉ°¦´¬µ¨´¬³Á¡µ³´ª¸Éo°µ¦ÄÃ¥Á·¦rÄ®o°¥¼n®¦º°Á¡·É¤ ¹ÊÁn¨´¬³ÁºÊ°´¤´ (body and texture) ªµ¤®º (viscosity/consistency) ¨´¬³¦µoµÃ¦¦oµ °Á¨ ¨³nª¥¨ {®µµ¦Â¥´Ê °Êε®µ¤ (whey) ®¦º°¸ÉÁ¦¸¥ªnµ syneresis Á}o °µ¸Ê µ¦´ª¥´ nª¥Á¡·É¤°µ¥»µ¦ÁȦ´¬µÂ¨³ÎµÄ®o¨·£´r¤¸ªµ¤¤ÉεÁ¤° åεĮoÁ¨ÄÊε¤¸¦·¤µÊε °¦³· 宦´µ¦Á· syneresis ¨¨ »¤´·¸É¸ °µ¦´ªº°Å¤n¤¸¨·É¤¸¦³··£µ¡¼ Änª pH Éε ¨³¦³µ¥´ªÅo¸Ä°»®£¼¤·¸ÉÄoĵ¦®¤´¤ 宦´µ¦Á¤¸¸É·¥¤ÄoÁ}µ¦ 34
´ªÁn Á¨µ· vegetable gums (carboxymethyl-cellulose, locustbean ¨³ guar) ¨³ seaweed gums (alginates ¨³ carrageenans) Á}o µ¦´ªÁ®¨nµ¸Ê°µÄoÁ¡¸¥µ¦¦³°·Á¸¥ª ®¦º°µ¦¦³°¤®¨µ¥´ª¹Éµ¦¦³°Â®¨´³Á}¸É·¥¤Äµ¦oµ¤µ ÁºÉ°µ µ¤µ¦ÄoÅo´¨·£´rÃ¥Á·¦r®¨µ¥·´ÉÁ° µ¦Á·¤µ¦Ä®oªµ¤®ªµ µ¦Ä®oªµ¤®ªµ®¦º°¸ÉÁ¦¸¥ªnµ sweetener ¤´Á·¤Äµ¦¨· friut/flavoured yoghurt ®¦º°Ä “sweet” natural yoghurt Ã¥°µ«´¥µ¦Á·¤µ¦Ä®oªµ¤®ªµ¨ÅÄ °¤Ã¥Á·¦r ®¦º°Á·¤¨Å¤o¸É¤¸ªµ¤®ªµ¨Å ´Ê¸Êª´»¦³r®¨´Äµ¦Á·¤Á¡ºÉ°¨ªµ¤Á¦¸Ê¥ªÄÃ¥Á·¦r °¥nµÅ¦Èµ¤ o°Îµ¹¹{´¥nµÇ ÅoÂn · °µ¦Ä®oªµ¤®ªµ¸ÉÄo ªµ¤° ° ¼o¦·Ã£ · °¨Å¤o¸ÉÄo¨¸É°µ¥´¥´Ê®´ªÁºÊ° ®¤µ¥ ¨³°ºÉÇ Á}oÃ¥´ÉªÅ¨oª friut/flavoured yoghurt °µ¤¸µ¦rÃűÁ¦¼¹ 20% ¹ÉÅoµÊεµ¨Ä¤¸ÉÁ®¨º°µµ¦®¤´ Êεµ¨Ä¨Å¤o ¨³Ê嵨¸ÉÁ·¤Á oµÅoµªµ¤Á o¤ o °Ê嵨¼Á·Å °µ¤¸¨¥´¥´Êµ¦ Á¦· °®´ªÁºÊ°ÅoÁºÉ°µ¨ ° adverse osmotic °µ¦¼¨³¨µ¥ÄÊε ¨³¨ ° water activity ÄÃ¥Á·¦rÃ¥´ÉªÅ¦·¤µÊ嵨¸ÉÁ·¤¨ÄÃ¥Á·¦rŤnª¦Á· 10% µ¦Ä®oªµ¤®ªµ¸É·¥¤ÄoÄ°»µ®¦¦¤ ÅoÂn Ê嵨¼Ã¦ ¨¼Ã ¢¦»Ã corn syrup glucose/galactose syrup ®¦º°¡ª sorbitol ¨³ saccharin Á}o °µ¸Ê°µ¤¸µ¦Á·¤µ¦¦³°°ºÉÇ ¨Ä¤oª¥ Án µ¦´Á¸¥®¦º°Á¡··¨¨·Á ¸ÉÄo娵¥£µ¡ °µ¦·¸ª³³Á¡··¨Á¨¸¥¤ Á¡ºÉ°Ä®o¤Á®¤µ³¤n°µ¦¨·Ã¥Á·¦r¤µ¸É»
2. µ¦ÎµÄ®oÁ}ÁºÊ°Á¸¥ª´ ®¨´µ¦¦´nª¤ °¤¸ÉÄoĵ¦Á¦¸¥¤Ã¥Á·¦rÁ¡ºÉ°Ä®oÅo¨·£´r¸É¤¸»£µ¡ µ¤o°µ¦Â¨oª µ¦Îµ¤¸É¦´Â¨oª¤µnµ¦³ªµ¦ÎµÄ®oÁ}ÁºÊ°Á¸¥ª´³¤¸¨n°»£µ¡ °¤ Äoµµ¦Á}µ¦°·¤´¨´¸ÉÁ}ÁºÊ°Á¸¥ª´´Ê¸Ê¦³ªµ¦´¨nµªµ¤µ¦¦³ÎµÅo Ã¥µ¦Ä®o¤nµÁ¦ºÉ°Ã±Ã¤¸ÅÁ°¦roª¥ªµ¤Á¦Èª¼Ã¥nµn°ÁdÁ¨ÈÇ £µ¥Äoªµ¤´¼ µ¦Á¨¸É¥Â¨¸ÉÁ· ¹Ê£µ¥®¨´µ¦ÎµÄ®oÁ}ÁºÊ°Á¸¥ª´¤¸¨ÎµÄ®oÁºÊ°´¤´¸ÉÅo®¨´ µ¦®¤´¤¸ÁºÊ°Á¸¥¤µ ¹Ê¤¸¨·É¦¸ÉÁ}¦¸¤Â¨³nª¥¨µ¦Á·¦¸¤¸É·ª®oµ®¦º°µ¦Â¥´Ê °Êε®µ¤ (wheying-off) 宦´µ¦Á¨º°ÄoÁ¦ºÉ°Ã±Ã¤¸År 1 ®¦º° 2 stage ³ ¹Ê´ ¦·¤µÅ ¤´¸É¤¸°¥¼nĤ¸É¦´°r¦³°Â¨oªÂnÃ¥´ÉªÅ¤Ã¥Á·¦r³ÄoÁ¦ºÉ°Ã±Ã¤¸År ¸É¤¸Á¡¸¥ 1 stage ¸É°»®£¼¤· 50 - 70 °«µÁ¨Á¸¥ ¨³¤¸ªµ¤´¦³®ªnµ 1,500 - 2,500 °rn° µ¦µ·Êª (psi) (°¥«, 2527) 35
3. µ¦Ä®oªµ¤¦o° µ¦Ä®oªµ¤¦o° Á} ´Ê°¸Éε´°¸ ´Ê°®¹É °µÁ¡·É¤ªµ¤Á o¤ o °¤ ¨oª¥´¤¸¨n° °¤¸ÉÄoÁ¦¸¥¤Ã¥Á·¦r´n°Å¸Ê 1) 娵¥»¨·¦¸¥r¸Én°Ä®oÁ·Ã¦®¦º°»¨·¦¸¥r°ºÉÇ ¸ÉŤno°µ¦ 宦´µ¦µ 2.6 ÂÁª¨µ ¨³°»®£¼¤·¸ÉÄoĵ¦Ä®oªµ¤¦o°Ân¤ ¨³ °¤¸ÉÄoĵ¦Á¦¸¥¤Ã¥Á·¦r nµÇ ´ ¹Éªµ¤¦o°¸ÉÄo¤´Á¡¸¥¡°n°µ¦Îµ¨µ¥Á¨¨r»¨·¦¸¥rnªÄ®n¸É°¥¼nÄÊε¤·Ánµ ´ÊÂn°¦r®¦º°Á°Å¤r¸Éªµ¤¦o°Åo¥´¤¸Á®¨º°°¥¼nĤ °¥nµÅ¦Èµ¤ ¤¸Énµªµ¤ ¦o° ³Á}®¨nÁ¦·Á·Ã¸É¸ °®´ªÁºÊ°Ã¥Á·¦r 2) ε´°µµ«¸¤¸°¥¼nĤ Á¡ºÉ°ÎµÄ®o£µª³Âª¨o°¤Á®¤µ³¤n°µ¦Á¦· °ÁºÊ° ¨·¤µ¥·É ¹ÊÁºÉ°µ·¦¦¤ °»¨·¦¸¥r·¸Êo°µ¦°µµ«Ä¦·¤µo°¥ (microaerophilic) 3) Á¨¸É¥Â¨»¤´·µÁ¤¸ µ¥£µ¡ °¤ åεĮoæ¸ °Êε®µ¤¸É¤¸°¥¼n Ĥ¹ÉÅoÂn ¡ª°´¨¼¤· ¨³Ã¨¼¨·¸ÉÁ¸¥£µ¡¦¦¤µ· (denature) ¨oª³° ° µ¸Ê¥´n°Ä®oÁ·µ¦¦ª¤´ª °Ã¤Á¨»¨Á¸°¸Á·Á}¦nµÂ® (network) Ĩ´¬³µ¤¤·· ¹Ê ¤µÃ¥¦nµÂ®¸Ê³´Ã¦¸ °Êε®µ¤Â¨oªÎµÄ®oÃ¥Á·¦r¸ÉÅo¤¸ªµ¤®º (consistency) ¤µ ªnµÁ·¤ 3) ¤¸ªµ¤Á®¤µ³¤Îµ®¦´µ¦Á¦· °®´ªÁºÊ°Â¨·¸É¤¸·¦¦¤®¤´¸É°»®£¼¤·n° oµ¼ (40 - 45 °«µÁ¨Á¸¥) 4) εĮoæ¸Ä¤¼Îµ¨µ¥ (damage) Ä®oµ¦¥n°¥Ç ¸ÉÁ}äÁ¨»¨Á¨È¨ (breakdown products) ¹É°µÁ}µ¦¸ÉÁ¦n·¦¦¤ °®´ªÁºÊ°Â¨· µ¦Ä®oªµ¤¦o°Ân¤ µ¤µ¦Á¦n®¦º°¥´¥´Ê·¦¦¤ °®´ªÁºÊ°Â¨·Åo ´Ê¸Ê ¹Ê´nª °°»®£¼¤· ¨³Áª¨µ´¸Ê 36
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µ¦Á·Á¨ °Ã¥Á·¦r Á}¨µ··¦·¥µµ¸ª£µ¡ ¨³µ¥£µ¡Ä¤ ´¤¸ ´Ê° µ¤¨Îµ´´¸Ê (1) ®´ªÁºÊ°Ã¥Á·¦rÄoÊεµ¨Â¨ÃĤÁ}®¨n¡¨´µÄµ¦Á¦·Á·Ã ¨³Îµ µ¦®¤´Ä®o¦Â¨·Â¨³µ¦¦³°°ºÉÇ °°¤µ (2) ¦Â¨·¸É¦oµ ¹ÊÁ¦ºÉ°¥Ç ¸Ê ³¨µ¥£µ¡ªµ¤´ª °°»£µÁ¸°¸ (casein micelle ) ¨³ÎµÄ®oµ¦¦³°Á·o° °Ã¦¸ÄÊε®µ¤¼Á¸¥£µ¡¦¦¤µ·Åoª¥ (3) Á·µ¦¦ª¤´ª ° casein micelles ¨³/®¦º°¨»n¤ ° micelled ¥n°¥Ç Á oµoª¥´ ¨³Á·µ¦³°µnª (coalesce) °°¤µ Ä ³¸Éªµ¤Á}¦Á}nµ Ĩo» isoelectric º°¦³®ªnµ pH 4.6 - 4.7 (4) Á···¦·¥µ¦³®ªnµ °¨¢µ-¨Ã輨·/¸µ-¨Ã輨·¹ÉÁ}æ¸¸É °¥¼nÄ®µÊε¤´Á¸°¸ÎµÄ®oÁ· casein micelles ¸É¤¸ªµ¤´ª¤µ ¹Ê´´Ê¦nµÂ® °Á¨¸É 38
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6. µ¦Á·¤°r¦³°¸ÉÄ®o¨·É¦ ¨³¸ µ¦Á·¤°r¦³°¸ÉÄ®o¨·É¦ ¨³¸ Á¡ºÉ°Á¡·É¤ªµ¤·¥¤Ä®oÂn¼o¦·Ã£ ¹Ê´· ° Ã¥Á·¦r¸Éo°µ¦ µ¦¸ÉÄoÁ·¤Á¡ºÉ°ª´»¦³r´¨nµªÄ°»µ®¦¦¤¨·Ã¥Á·¦rÅoÂn ¨Å¤o µ¦Ä®o¨·É¸ ¨³µ¦¦³°°ºÉÇ ÁnÊε¹Ê´ÉªnµÇ ¤³Á º°Á« µÂ¢ Á}o ĵ°»µ®¦¦¤·¥¤ÎµÄ®oÃ¥Á·¦rÁ¥È¨¸É°»®£¼¤· 15 - 20 °«µÁ¨Á¸¥ n°¸É³Îµ Ť´¨Å¤o®¦º°¨·É¦ µ´Ê¹¦¦»ÁÈŪoÄ®o°Á¥ÈÁ¡ºÉ°¦°µ¦Îµ®nµ¥n°Å °¥nµÅ¦Èµ¤ ¤oªnµ¦¦¤ª·¸µ¦¨·Ã¥Á·¦r³¤¸¨n°»£µ¡ °Ã¥Á·¦rÂn{´¥¸É ε´°¸°¥nµ®¹É¸É¤¸¨n°»£µ¡ °¨·£´rÁnÁ¸¥ª´º°»¨·¦¸¥r¸ÉÄoÄÃ¥Á·¦r
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Á¤ºÉ°Äo®´ªÁºÊ°¸ÉÂn Èĵ¦¨·Ã¥Á·¦rεÁ}o°n¤®´ªÁºÊ°Á}Áª¨µ 5 ´ÉªÃ¤¸É 45 °«µÁ¨Á¸¥ ®¦º° 11 ´ÉªÃ¤¸É 32 °«µÁ¨Á¸¥ ®¦º° 14 - 16 ´ÉªÃ¤¸É 29 - 30 °«µÁ¨Á¸¥ Á¸¥n° Ã¥´ÉªÅ®´ªÁºÊ°¸ÉÄo¦³°oª¥µ¥¡´»r¤ ° Lactobacillus bulgaricus ¨³ Streptococcus thermophilus Ä´nª¸ÉÁnµ´ ¸Á¦¸¥Á®¨nµ¸Ê³¤¸ªµ¤´¤¡´r¡¹É¡µ´ Á¤ºÉ°Äo¦nª¤´¸ÉÁ¦¸¥ªnµ symbiosis Ã¥·³Ä®oÁºÊ°´Ê°Á¦·¦nª¤´£µ¥Äo£µª³¸Éª»¤ Á¡ºÉ°Ä®oÅoÁºÊ°»¨·¦¸¥r¸É¤¸¤»¨¸É¼o°
£µ¡ 2.8 ®´ªÁºÊ°Ã¥Á·¦r¦³°oª¥ Streptococcus thermophilus ¨³ Lactobacillus bulgaricus ¸É¤µ : ¦»n£µ (2531)
¨´¬³µ¦¡¹É¡µ°µ«´¥´ °»¨·¦¸¥rÁ®¨nµ¸ÊÄ®´ªÁºÊ°Ã¥Á·¦rº°Á¦·É¤Â¦ÁºÊ° Streptococci ¤¸°»®£¼¤µ¦®¤· ´¸ÉÁ®¤µ³¤¸É 40 °«µÁ¨Á¸¥ εĮoÁºÊ°Á¦· ¹Ê°¥nµÁn´ ¦³®ªnµµ¦®¤´nªÂ¦¸Ê³Á·µ¦Á¨¸É¥Â¨®¨µ¥°¥nµ ¹Ê¤µ ÁºÊ° Streptococci Á}»¨·¦¸¥r ¸Én°Ä®oÁ· diacetyl ¨³µ¦¦³°¸É¨oµ¥´¹É¤¸¨n°¨·É¦ °¦¸¤Á¥ (creamy/buttery) Ĩ·£´r»oµ¥ ÁºÊ° Streptococci ¸Ê³nª¥Îµ´°°·Á°°µ¤¹Éoµ®µÁ®¨º°°¥¼n°µn°Ä®oÁ· űæÁÁ¡°¦r°°År µ¦Á¦·³ÎµÁ·n°Å¦³´Éªµ¤Á}¦¹ pH 5.5 ³¤¸µ¦ °µ®µ¦¸ÉÁ®¤µ³¤Îµ®¦´µ¦Á¦· °ÁºÊ° Lactobacilli n°Å ÁºÊ° Lactobacillus bulgaricus ¤¸°»®£¼¤·¸ÉÁ®¤µ³¤Îµ®¦´µ¦Á¦·¸É 45 °«µÁ¨Á¸¥ ¨³¥´Ä®o¦·¤µ¦Â¨·¸É¤µ¡°¸É³¦oµ acetaldehyde °¥¼n 23 - 41 ¡¸¡¸Á°È¤·Á}´nª °µ¦¦³°¸ÉÄ®o¨·É (volatile flavour compound) ¹ 90% °µ¸Ê¨oªÁºÊ° Lactobacilli ³¨n°¥¦°³¤·Ãµ´ª¸É¤¸¨n°µ¦Á¦· °ÁºÊ° Streptococci °¸oª¥ 40
®¨´µ¦®¤´Á¦È·Ê¨oª Ã¥Á·¦r¸ÉÅo³¤¸¨´¬³ÁºÊ°¸ÉÂn ¹Ê¸ÉÁ¦¸¥ªnµ thickened yoghurt ¹É³¼ÎµÄ®oÁ¥È¨Á} 4.5 °«µÁ¨Á¸¥ ¨³Åªo¸É°»®£¼¤·¸Ê¨°¦³¥³Áª¨µµ¦ ε®nµ¥ °»®£¼¤· ¸Ê¸Á¦¸¥¥´¤¸¸ª·°¥¼n Ân·¦¦¤n° oµÎµ´ÎµÄ®oµ¦Ân´ªÂ¨³ ¦oµ¦³oµ¨¤µ ´¨nµª¤µÂ¨ªªo nµ»¨·¦¸¥r¸ÉÁ¸É¥ª o°Äµ¦¨·Ã¥Á·¦rº° Lactobacillus bulgaricus ¨³ Streptococcus thermophilus Ânĵ¦³Á« Án·ª¸Â¨r®¦º°ª·Á°¦r¨r°µ¥°¤Ä®o ÁºÊ°Â¨··°ºÉ¦nª¤°¥¼noª¥ °¥nµÅ¦Èµ¤ ³o°¤¸»¨·¦¸¥r¸Éε´°·¸ÊÁ¤° ¹É¨´¬³ ¸ÊεĮoÃ¥Á·¦r¤¸¨´¬³¸ÉÁn¨´¬³µ¦¡¹É¡µ°µ«´¥ °®´ªÁºÊ°´Ê°¸Ê°µ³¡·µ¦µµµ¦ ¦oµ¦Â¨·³Á¡·É¤ ¹ÊĦ³®ªnµµ¦¨·Ã¥Á·¦rÁ¤ºÉ°Äoµ¥¡´»r¤ °ÁºÊ° Lactobacillus bulgaricus ¨³ Streptococcus thermophilus Á¤ºÉ°Á¦¸¥Á¸¥´µ¦ÄoÁºÊ°´¨nµªÁ¡¸¥µ¥¡´»r Á¸¥ªÁnµ´Ê´ÂÄ£µ¡ 2.9 °µ¸ÊεªÁ¨¨r¸ÉÁ¡·É¤ ¹Ên°®¹É®nª¥Áª¨µ °®´ªÁºÊ°µ¥ ¡´»r¤ ³Á¡·É¤ ¹ÊÁ}媤µ Á¤ºÉ°Á¦¸¥Á¸¥´®´ªÁºÊ°¸É¤¸µ¥¡´»rÁ¸É¥ª ´Ê¸ÊÁºÉ°µÁºÊ° ´Ê°µ¥¡´»r¤¸ªµ¤´¤¡´r¡¹É¡µ°µ«´¥´ (symbiosis relationship) ´ÉÁ° Īµ¤Á} ¦·Â¨oªÄ®´ªÁºÊ°¤¸ÊεªÁºÊ° Lactobacillus bulgaricus ³¥n°¥Ã¦¸Â¨oªÄ®o¦°³¤·Ã ¡ª valine, glycine ¨³ histidine °°¤µÄ¤¹ÉÁ}µ¦°µ®µ¦¸ÉεÁ}n°µ¦Á¦· °ÁºÊ° Streptococcus thermophilus °¸n°®¹É (ª¦µª»· ¨³¦»n£µ, 2532) 41
£µ¡ 2.9 °´¦µµ¦¦oµ¦ °ÁºÊ°Ã¥Á·¦rµ¥¡´»rÁ¸É¥ª ¨³µ¥¡´»r¤Á¤ºÉ°n¤¸É°»®£¼¤· 40 °«µÁ¨Á¸¥ Ĥ µ¤´Á¥ (10% TS) ¨³Äo®´ªÁºÊ° 2% ¸É¤µ : Tamime (1977)
ĵ¦¦oµµ¦Ä®o¨·É¦ °Ã¥Á·¦rÃ¥®´ªÁºÊ°µ¥¡´»r¤ ¡ªnµÁºÊ° Streptococcus thermophilus ³¦oµ¦¢°¦r¤·°°¤µ ¹ÉÁºÊ° Lactobacillus bulgaricus ³Îµ¦¢°¦r¤·¸ÊÅ Äoĵ¦¦oµµ¦¸ÉÄ®o¨·É¦¦ª¤´Ê acetaldehyde °°¤µoª¥ ´´Ê³Á®ÈÅoªnµÁºÊ° Lactobacillus bulgaricus ¸ÊÁ}´ªµ¦Îµ´Äµ¦¦oµµ¦¸ÉÄ®o¨·É¦ÄÃ¥Á·¦rÂn°¥nµÅ¦ ȵ¤ ÁºÊ° Streptococcus thermophilus ȵ¤µ¦¦oµµ¦Ä®o¨·É¦¡ª acetaldehyde Åooª¥ Ân¦·¤µ ° acetaldehyde ¸ÉÅoµÁºÊ° Streptococcus thermophilus ³o°¥ªnµÁ¤ºÉ°Á¦¸¥Á¸¥ ´¦·¤µ °µ¦´¨nµª¸ÉÅoµÁºÊ° Lactobacillus bulgaricus Á¤ºÉ°µ¦Á¨¸É¥Â¨ °µ¦Á· ¹Ê¸É°»®£¼¤·µ¦®¤´·¦³¤µ 40 °«µÁ¨Á¸¥ (¦´µ, 2537) Ħ³®ªnµµ¦®¤´°»®£¼¤·¸ÉÁ®¤µ³¤Äµ¦Îµµ °ÁºÊ°µ¥¡´»r¤³Ánµ´ 40 - 42 °«µÁ¨Á¸¥ ÁºÉ°µ°»®£¼¤·¸Ê®´ªÁºÊ°Ã¥Á·¦r¸É¤´µ¤µ¦¤¸·¦¦¤¦nª¤´Åo¼» ÁºÉ°µ®´ªÁºÊ°´Ê°·¤¸°»®£¼¤·µ¦®¤´¸ÉÁ®¤µ³¤Îµ®¦´Ân¨³µ¥¡´»rÂnµ´º°¸É °»®£¼¤·µ¦®¤´Á} 45 °«µÁ¨Á¸¥ ³Á®¤µ³¤Îµ®¦´µ¦¦oµ¦ °ÁºÊ°µ¥¡´»r 42
Lactobacillus bulgaricus ¨³¸É°»®£¼¤· 39 °«µÁ¨Á¸¥ ³Á®¤µ³¤Îµ®¦´µ¦¦oµ¦ ° ÁºÊ°µ¥¡´»r Streptococcus thermophilus ´ÂÄ£µ¡ 2.10 ¹ÉÁ¦¸¥Á¸¥°´¦µµ¦¦oµ¦Â¨· °®´ªÁºÊ°µ¥¡´»r¤ ¨³µ¥¡´»rÁ¸É¥ª¸É °»®£¼¤·nµÇ ´ Ĥ µ¤´Á¥¸É¤¸¦·¤µ °Â È´Ê®¤ 10% ¨³Äo®´ªÁºÊ° 2% ³Á®Èªnµ °´¦µµ¦¦oµ¦ °®´ªÁºÊ° Lactobacillus bulgaricus ¨³ Streptococcus thermophilus ³Á¡·É¤ ¹ÊÁ¤ºÉ°°»®£¼¤µ¦®¤· ´¼ ¹Ê¨³¼»¸É°»®£¼¤· 40 ¨³ 45 °«µÁ¨Á¸¥ µ¤¨Îµ´Ã¥¸É ÁºÊ° Streptococcus thermophilus ³¤¸µ¦¦oµ¦¸É¤µªnµ°¥nµÅ¦Èµ¤ Á¡ºÉ°Ä®o´nª ° ®´ªÁºÊ°´Ê°Á} 1 : 1 ª¦³Á¨º°Äo°»®£¼¤·µ¦®¤´Á} 42 °«µÁ¨Á¸¥ ¤oªnµµ¦¦oµ¦ °®´ªÁºÊ°¤´Ê°³¼»¸É°»®£¼¤·µ¦®¤´¸É 45 °«µÁ¨Á¸¥Èµ¤ (Robinson, 1994)
£µ¡ 2.10 °´¦µµ¦¨·¦Â¨· °®´ªÁºÊ°µ¥¡´»rÁ¸É¥ª ¨³µ¥¡´»r¤¸É°»®£¼¤· µ¦®¤´ nµÇ ´ ¸É¤µ : Tamime (1977) 43
´´Êµ¤µ¦¦»¨´¬³ °®´ªÁºÊ°Ã¥Á·¦rÅo´¸Ê (ª¦µª»· ¨³¦»n£µ, 2532) 1) ÁºÊ° Streptococcus thermophilus ³¤¸·¦¦¤¼Äµ¦¨n°¥¦Â¨·ÄnªÂ¦ °µ¦®¤´´´Êoµµ¤µ¦´Á¨º°ÁºÊ°µ¥¡´»r¸ÊÄ®oµ¤µ¦¦oµ¦Åo°¥nµ¦ªÁ¦Èª³ÎµÄ®o µ¤µ¦¨¦³¥³Áª¨µ¸ÉÄoĵ¦®¤´ 2) µ¦°ºÉÇ ¸ÉÅoµµ¦Á¨¸É¥Â¨ °ÁºÊ° °µ¦Â¨·Â¨oª¥´¤¸µ¦¸É¤¸ªµ¤ ε´n°µ¦¦oµ¨·É¦ (aroma and flavour) °Ã¥Á·¦r¹Éµ¦¦³°Á®¨nµ¸ÊÅoµ®´ªÁºÊ°´Ê °µ¥¡´»r ¹ÎµÁ}o°Ä®oÁºÊ°´Ê°·¸ÊÁ¦·Ä´nª¸É¤»¨´ ´´Ê·É¸Éε´ °®´ªÁºÊ°Ã¥Á·¦r°µ³Ä®o¸Á¦¸¥¸É¤¸¸ª·Îµª¤µÂ¨oª ®´ªÁºÊ°¥´ÎµÁ}o°¤¸ÎµªÁ¨¨r¸É¤»¨´°¸oª¥ °´¦µµ¦nµ¥ÁºÊ°Ã¥´ÉªÅ³Äo¦³¤µ 2% (v/v) ¹Éµ¤µ¦ÎµÄ®oµ¦®¤´Á· ¹Ê°¥nµ¤¼¦r£µ¥Ä 4 ´ÉªÃ¤ Á¡ºÉ°Ä®o¤¤¸Îµª ÁºÊ°Â¨· 3.0 - 4.0u107 Á¨¨r/¤·¨¨·¨·¦ µ¦Á¨¸Ê¥ÁºÊ°´Ê°·Â¥´³Á¦·Åo¸¸É»Â¨oª¹ ¤´Á}®´ªÁºÊ°n°µ¦ÄoÂnĵ·´·³·¥¤Äo®´ªÁºÊ°¤¸É¤¸°´¦µnª¦³®ªnµÁºÊ° Streptococcus thermophilus ¨³ Lactobacillus bulgaricus Ánµ´ °¥nµÅ¦Èµ¤ ¤oªnµ°´¦µnª¦³®ªnµ»¨·¦¸¥r´Ê°·Á¦·É¤o³Ánµ´ 1 : 1 Ân °´¦µnª¸Ê³Á¨¸É¥Â¨°¥µ¦ªÁ¦n ȪÁ¤ºÉ°ÁºÊ° Streptococcus thermophilus Á¦·É¤Á oµ¼nµ¦Á¦· Ħ³¥³ logarithmic phase ¨³³¤¸Á¡¸¥¦Â¨·¸É³¤°¥¼nĤÁnµ´Ê®¨´µ¸ÊÁºÊ° Lactobacillus bulgaricus ³Á¦·Á}ÁºÊ°Án ¹Ê¤µ Á¤ºÉ°·Ê»µ¦®¤´³¤¸¦³´¦Â¨· ¦³¤µ 0.90 - 0.95% ¨³ÎµªÁ¨¨rÄ®´ªÁºÊ°³¨´¤µ¤»¨°¸¦´Ê®¹É¦·¤µÁ¨¨r ´Ê®¤ (total colony count) °ÁºÊ°Â¨· °µÁ· 2.0u109 Á¨¨r/¤·¨¨·¨·¦ ¹É¤¸¨n°»£µ¡ µ¦³µ´¤´ (organoleptic quality) °¨·£´r»oµ¥
µ¦Á¨¸É¥Â¨µ¸ªÁ¤¸ °µ¦®¤´Ã¥Á·¦r ªµµ¦Á¨¸É¥Â¨ (metabolic pathway) ¸ÉÁ· ¹ÊÄ»¨·¦¸¥r ¦³°oª¥ ··¦·¥µ®¨µ¥·¹Éª»¤Ã¥Á°Å¤r·nµÇ ´ µ¦¥n°¥¨µ¥µ¦°µ®µ¦¸É¤¸°¥¼nÄ°µ®µ¦ Á¨¸Ê¥ÁºÊ°¡ªµ¦rÃűÁ¦ æ¸ Å ¤´ ¨³µ¦°ºÉÇ Ä®o¤¸Ã¤Á¨»¨¸ÉÁ¨È¨ È´ªnµÁ}µ¦ Á¨¸É¥Â¨´¨nµª °r¦³° °°µ®µ¦Á¨¸Ê¥ÁºÊ°¹¤¸ nªÎµ´n°µ¦Á¦· ¨³Ân´ª ° ®´ªÁºÊ° Streptococcus thermophilus ¨³ Lactobacillus bulgaricus ¦ª¤´Ê¨·É¦ ¨³»¨´¬³ °¨·£´r¸ÉÅo ´´Êµ¦«¹¬µµ¦Á¨¸É¥Â¨µ¸ªÁ¤¸¸ÉÁ· ¹ÊÃ¥®´ªÁºÊ°´Ê°¸Ê¥n°¤ εżnµ¦¨·Ã¥Á·¦r¸É¤¸»£µ¡¼ ĸɸʳ¡·µ¦µÁ¡µ³µ¦Á¨¸É¥Â¨ ° µ¦rÃűÁ¦¸ÉÁ· ¹ÊÁnµ´Ê (ª¦µª»· ¨³¦»n£µ, 2532) 44
ªµµ¦Á¨¸É¥Â¨ ÁºÊ°Â¨·³Åo¦´¡¨´µµµ¦®¤´µ¦rÃűÁ¦ ¹ÉÅoÂn Êεµ¨Â¨Ã¸É¤¸°¥¼n Ĥ ¹Éµ¦¥n°¥¨µ¥Êεµ¨Â¨Ã³Á· ¹Ê£µ¥ÄÁ¨¨r °®´ªÁºÊ° Streptococcus thermophilus ¨³ Lactobacillus bulgaricus Ã¥µ¦ÎµÊεµ¨Â¨Ãnµ´Á¨¨r °®´ªÁºÊ° ´Ê° ¹ÉĦ¸¸Ê´·¬µªnµ³°µ«´¥Á°Å¤r µÂ¨ÃÅr Á°¦r¤¸Á° (galactoside permease) µ´ÊÁ°Å¤r¸oµ-¸-µÂ¨Ã·Á (beta-D-galactosidase : E-gal) ³¥n°¥Ê嵨 ¨ãµ¥ÄÁ¨¨r¸ÊÄ®oÁ}Ê嵨 ¸-¨¼Ã (D-glucose) ¨³¸µ-¸-µÂ¨Ã (E-D- galactose) Ê嵨¸ - ¨¼Ã ¸ÉÅo³Á¨¸É¥ÅÁ}¦Â¨·£µ¥ÄÁ¨¨r °®´ªÁºÊ°´Ê° °µ¸Ê Á°Å¤r°¸·®¹Éº°¸µ-¸-¢°Ã¢µÂ¨Ã·Á (beta-D-phosphogalactosidase : E-Pgal) ȳ¥n°¥Êεµ¨Â¨ÃÄ®oÊ嵨-¸-¨¼Ã oª¥ÁnÁ¸¥ª´¹Éªµµ¦ Á¨¸É¥Â¨®¨´Ç ¸ÉÁ}ÅÅo ´ÂÄ£µ¡ 2.11 (¨·, 2538) 45
£µ¡ 2.11 ªµµ¦Á¨¸É¥Â¨µ¦ÄoÊεµ¨Â¨Ã °®´ªÁºÊ° Streptococcus thermophilus ¨³ Lactobacillus bulgaricus ¸É¤µ : Tamime ¨³ Robinson (1985)
µ¦Á·µ¦Ä®o¨·É¦ (Production of flavour compounds) ®´ªÁºÊ°³¦oµµ¦¦³°¸ÉÄ®o¨·É¦nµÇ ÄÃ¥Á·¦r¹É³¡·µ¦µ´ªÁ}µ¦ ¦³°®¨´Ç º° ¦Â¨· ¨³µ¦¦³°µ¦r°·¨ (carbonyl compounds) ¡ª acetaldehyde, acetone, acetion ®¦º° diacetyl µµ¦«¹¬µÁ¸É¥ª´µ¦¦oµ¨·É¦ °®´ªÁºÊ° ¡ªnµ¨·É¦ °Ã¥Á·¦rÁ·µ acetaldehyde ¨³µ¦¦³°°ºÉÇ ¸É¥´Â¥Å¤nÅo¨³¥´ ¡°¸oª¥ªnµ¦³´ ° acetaldehyde ÄÃ¥Á·¦r³¼ ¹ÊÁ¤ºÉ°Äo®´ªÁºÊ°¤ °ÁºÊ° Streptococcus thermophilus ¨³ Lactobacillus bulgaricus ´Âĵ¦µ 2.7 46
µ¦µ 2.7 ¦·¤µ °µ¦¦³°µ¦r°·¨ (¡¸¡¸Á°È¤) ¸É¦oµ ¹Êµ®´ªÁºÊ°Ã¥Á·¦r
Organism Acetaldehyde Acetone Acetoin Diacetyl S.thermophilus 1.0-8.3 0.2-5.2 1.5-7.0 0.1-13.0 L.bulgaricus 1.4-12.24.02 2.0- 0.3-3.2 Trace-2.0 0.5-13.0 Mixed cultures 41.0 1.3-4.0 2.2-5.7 0.4-0.9 ¸É¤µ : Tamine ¨³ Robinson (1985)
£µ¡ 2.12 £¼¤· °··¦·¥µ¸ÉÁ¸É¥ª o°Äµ¦¦oµµ¦ acetaldehyde ¸É¤µ : Tamime ¨³ Robinson (1985)
®´ªÁºÊ° Streptococcus thermophilus ¨³ Lactobacillus bulgaricus ³¦oµµ¦Ä®o¨·É¦ Ħ³®ªnµµ¦®¤´ ¨³¦³´ °µ¦nµÇ ¸ÉÅo ³ ¹Ê´Á°Å¤r¸ÉÄo´Á¦µ³®rµ¦¦³° µ¦r°·¨µ°r¦³°¸É¤¸°¥¼nĤ ¹É°r¦³° °¤¸Éε´Äµ¦¦oµ acetaldehyde º°Êεµ¨Â¨Ã (Ã¥Á¡µ³Änª °Ê嵨¨¼Ã) ¦°³¤·Ã¡ª theronine ¨³ methionine µ£µ¡ 2.12 ³Â··¦·¥µÉÁ¸ ¸É¥ª o°Äµ¦¨· acetaldehyde ¨³ ethanol µ ¨¼Ã oª¥Á°Å¤r °´¨¸Å±r ¸Å±Ã¦¸Á (aldehyde dehydrogenase) ¨³Â°¨°±°¨r ¸Å±Ã¦¸Á (alcohol dehydrogenase) µ¤¨Îµ´nªµ¦Á¨¸É¥Â¨ ° theronine Á·µ 47
Á°Å¤r ¦¸Ã°·°´¨ÃÁ¨ (theronine aldolase) ¹É³Á·Ä lactobacilli ¤µªnµ streptococci ¨³µ¦Á¨¸É¥Â¨ ° methionine ÅÁ} actaldehyde ³ÂÄ£µ¡ 2.13 Aspartic acid
E-aspartyle phosphate
Aspartic-E-semialdehyde
Methionine S-adenosyl-homocysteine L-Homocysteine Cystathionine L-Homoserin
Homoserine phosphate
Threonine Glycine + Acetaldehyde £µ¡ 2.13 ªµµ¦Á¨¸É¥ methionins ÅÁ} acetaldehyde °ÁºÊ° Streptococcus thermophilus ¸É¤µ : Tamime ¨³ Robinson (1985)
µ¦ÁȦ´¬µ»£µ¡ °Ã¥Á·¦r ·Ã¥Á·¦r³¤¸°µ¥»µ¦ÁȦ³¤µ 10 ª´Á¤ºÉ°Áȸɰ»®£¼¤·¦³¤µ 5 °«µÁ¨Á¸¥ ®¨´µ´Ê¦³¤µ¦ÄÃ¥Á·¦r³¤¸¦·¤µÁ¡·É¤ ¹ÊÁºÉ°µ·¦¦¤ °®´ªÁºÊ°¸É¤¸°¥¼nÄ Ã¥Á·¦r´ÉÁ°Â¤oªnµ·¦¦¤ °®´ªÁºÊ°´¨nµª³Éε¤µÈµ¤ ¦·¤µ¦¸ÉÁ¡·É¤ ¹Êʸ εĮo ¨·É¦ °Ã¥Á·¦rÁ¨¸É¥Â¨Å¨³Å¤nÁ}¸É¥°¤¦´ °¼o¦·Ã£ »oµ¥®´ªÁºÊ°Â¸Á¦¸¥³ ¼Îµ¨µ¥ ¨³Ã¥Á·¦r³Á·µ¦Â¥´Ê ° curd ¨³ whey ¹É¤¸¨ÎµÄ®oÁºÊ°»¨·¦¸¥r°ºÉÇ Án ¥¸r ¨³¦µÁ¦·Åo ´´Ê¹ª¦¦³¤´¦³ª´ÄÁ¦ºÉ°µ¦Ág° °ÁºÊ°¦µ ¨³¥¸rÄ®´ªÁºÊ° Ã¥Á·¦rĵ¦¨·¦ª¤´ÊĦ³®ªnµµ¦¦¦»oª¥ («»£ª´r, 2541) Ä{»´Ã¥Á·¦r¸É¨· ¹Ê¨oª¤¸µ¦¡´µ¦´¦»¦µ· ¨³ÁºÊ°´¤´Á¡ºÉ°Ä®oÁ}¸É ¥°¤¦´ °¼o¦·Ã£¤µ ¹Ê´´Êµ¦Äoª´»·nµÇ ¸É¤¸»£µ¡ µ¦ª»¤¦¦¤ª·¸µ¦¨·Ä®o Á}ŵ¤¸É´ÊŪo ¦ª¤´Êµ¦Äo®´ªÁºÊ°¸É¤¸»£µ¡ ¨oªÂn¤¸¨Ä®o¨·£´rÃ¥Á·¦r¸ÉÅoÁ}¸É ¥°¤¦´ °¼o¦·Ã£ ¨³»oµ¥¥´Á}µ¦Á¡·É¤ªµ¤·¥¤Ä¨·£´r¦³Á£¸Êoª¥ 48
oµªÃ¡ (Zea mays L.) Á}´¡º·®¹É¸É¤¸µ ¨³ªµ¤Îµ´Äµ¦¡´µÁ«¦¬·Â¨³´¤ ° Å¥ {»´¨·¨µ oµªÃ¡¼ÎµÅÄo¦³Ã¥r¤µ¤µ¥Ä¦³´°»µ®¦¦¤ ´´Êª¦ ¤¸µ¦´»Ä®o¤¸µ¦Äo oµªÃ¡Ä¦³´°»µ®¦¦¤Ä®o¤µ¥·É ¹ÊÁ¡ºÉ°Âµ¦n°°Ä ¦¼ª´»·Å µ¥¥´nµ¦³Á«°¥nµÁnÄ°¸
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µ¦µ 5.2 µ¦ª·Á¦µ³®r»£µ¡µoµµ¥£µ¡ ¨³µÁ¤¸ °¨·£´ro »£µ¡µoµµ¥£µ¡ ¨³µÁ¤¸ nµ´Á¸É嵦ª´Åo nµ¸ L 92.98r0.12 nµ¸ a -6.73r0.08 nµ¸ b 32.80r0.13 nµªµ¤®º (u104 cp) 1.68r0.02 nµ¦·¤µ °Â È´Ê®¤ (%w/w) 18.83r1.50 nµ¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo (%w/w) 1.22r0.02 (as lactic acid) nµªµ¤Á}¦Á}nµ 3.80r0.13 nµ¦·¤µÊ嵨¼Ã¦ (%w/w) 2.36r0.08 nµ¦·¤µÊ嵨¦¸·ªr(%w/w) (as invert sugar) 3.45r0.08 nµ¦·¤µÊ嵨´Ê®¤ (%w/w) 5.90r0.08 ®¤µ¥Á®» : nµÁ¨¸É¥rnµÁ¸É¥Á¤µ¦µµµ¦ª·Á¦µ³®r 3 Êε 77
°¸É 2. ¡´µ¼¦ ¨³«¹¬µ°··¡¨ °nª¤nµÇ n°»£µ¡ ¨³µ¦¥°¤µoµ ¦³µ´¤´ x µ¦´Á¨º°{´¥¸É¤¸¨¦³n°¨·£´r Ã¥Ä ´Ê°¸ÊÁ}µ¦¨´É¦° ®¦º°Îµµ¦´Á¨º°{´¥¸É¤¸°··¡¨n°»£µ¡ ¨³ ¼¦µ¦¨· °¨·£´rÃ¥Á·¦r¤ oµªÃ¡ ¹ÉÅoÂnnª¤nµ Ç ¸ÉÁ}°r¦³°Ä¼¦ µ¦¨·¸Én¨¦³n°»£µ¡ ¨³µ¦¥°¤¦´ °¼o°·¤Ã¥¤¸{´¥É¸ 嵦«¹¬µ ´Ê®¤Îµª 6 {´¥ÅoÂn ¤ µ¤´Á¥ ®´ªÁºÊ°»¨·¦¸¥rÃ¥Á·¦rÊ嵨¼Ã¦ Á¨µ· °»®£¼¤·Äµ¦®¤´ ¨³¦³¥³Áª¨µÄµ¦®¤´´ÂÄ µ¦µ 4.2 ¨ °µ¦Á¨¸É¥Â¨»£µ¡ °¨·£´rÃ¥Á·¦r¤ oµªÃ¡ ¹Ê°¥¼n´¦·¤µ ° nª¤nµÇ ¸ÉÄoÄÂn¨³·É¨° ¹É¨ °µ¦Á¨¸É¥Â¨¦³´ °µ¦Äo{´¥Ä Ân¨³{´¥n¨ εĮoÁ·µ¦Á¨¸É¥Â¨»£µ¡ °¨·£´rÄoµnµÇ ´Êµoµ µ¥£µ¡ Á¤¸ ¨³µoµ¦³µ´¤´´Âĵ¦µ 5.3 ¨³µ¦µ 5.4 µ¤¨Îµ´ ¨µ¦¨°Ã¥Îµµ¦¨´É¦°{´¥nµÇ Änª¤´Ê 6 {´¥³Á®ÈÅoªnµ °··¡¨ °Ân¨³{´¥¸ÉÄoÁ}nª¤Ä¼¦µ¦¨·¸É¤¸¨¦³n°¨´¬³µoµnµÇ °¨·£´rµ¤µ¦Ân°°ÅoÁ} 2 {´¥º°{´¥®¨´ (Major factors) ¹ÉÁ}{´¥¸É¤¸ °··¡¨n°¨°°Ä¨´¬³nµÇ (Response variables) °¨·£´r¤µ¸É»Â¨³ {´¥¦° (Minor factors) Á}{´¥¸É¤¸ªµ¤Îµ´n°¨´¬³nµÇ °¨·£´rÁnÁ¸¥ª´Ân ¤¸°··¡¨o°¥ªnµ{´¥®¨´´Ê¸Ê°µ³¡·µ¦µ¹Îµª °¨´¬³nµÇ ¸É¤¸¨ ¦³Â¨oª¥´¡·µ¦µ¹¨ °{´¥´¨nµª´Êªnµ¤¸ªµ¤Îµ´n°¦³°¥nµ¤¸´¥Îµ´µ ··®¦º°Å¤n Ã¥¡·µ¦µ¸É¦³´ªµ¤ÁºÉ°¤´É 85% (Pd0.15) ¹ÊŴʸÊÁ¡ºÉ°Á}µ¦¨{®µµ¦ ¤° oµ¤{´¥¸Énµ³¤¸ªµ¤Îµ´ÅÅo nµ t-test ¸É¤¸nµÁ}¨ ¨³¤¸ªµ¤Ânµ°¥nµ¤¸´¥ ε´µ··´Ê®¤µ¥ªµ¤ªnµÁ¤ºÉ°Îµµ¦Á¡·É¤¦³´ °{´¥´ÊÇ ¹ÊȳεĮo»£µ¡Ä ¨´¬³´Ê °¨·£´r¤¸nµÉε¨ ¨³nµ t-test ¸É¤¸nµÁ}ª ¨³¤¸ªµ¤Ânµ°¥nµ¤¸´¥ ε´µ··´Ê®¤µ¥ªµ¤ªnµÁ¤ºÉ°Îµµ¦Á¡·É¤¦³´ °{´¥´ÊÇ ¤µ ¹Ê ³n¨Ä®o»£µ¡ ´ÊÇ °¨·£´r¤¸nµ¼ ¹Ê ¨µ¦ª·Á¦µ³®rµ··Äµ¦¨°Â Plackett and Burman ÂŪoĵ¦µ 5.3 £µ¡ 5.2 a, b µ¦µ 5.4 ¨³µ¦µ 5.5 µ¤¨Îµ´ 78
µ¦µ 5.3 ¨´¬³µ¦³µ´¤´ °¨·£´rÃ¥Á·¦r¤ oµªÃ¡µµ¦¨° Plackett and Burmann Ã¥Äoª·¸ Ideal ratio profile technique Ħ¼ ° Mean ideal ratio scores
·É¸ ªµ¤Á¦¸¥Á¸¥ µ¦Â¥ ªµ¤¨ºÉ° ªµ¤ ¨·É¤ ¨·É oµªÃ¡ ¨·É¦ ¦Á¦¸Ê¥ª ¦®ªµ µ¦¥°¤¦´ ¨° ´ª °ÊεÁª¥r o®º Ã¥¦ª¤
1 0.80r0.16 0.87r0.15ab 1.27r0.10b 0.94r0.15 0.86r0.28cde 1.39r0.28d 1.00r0.28b 1.11r0.12bc 1.73r0.09c 0.41r0.06a 0.50r0.23a 2 1.00r0.18 1.00r0.12b 1.07r0.09a 1.00r0.15 0.93r0.21de 1.12r0.29cd 0.97r0.37b 1.00r0.37ab 1.00r0.30a 1.00r0.05e 0.84r0.29e 3 0.89r0.18 0.91r0.25ab 1.47r0.11bc 1.00r0.23 0.54r0.23b 0.67r0.30ab 0.39r0.29a 0.76r0.29a 1.31r0.22b 0.88r0.13de 0.75r0.17cde 4 0.84r0.20 1.00r0.12b 1.00r0.25a 1.00r0.28 1.00r0.31e 1.00r0.31bcd 0.94r0.34b 1.00r0.26ab 1.00r0.27a 1.00r0.23e 0.79r0.15de 5 0.80r0.22 0.78r0.15a 1.20r0.09b 0.96r0.17 0.93r0.28de 1.16r0.15cd 1.14r0.34b 1.33r0.25bcd 1.73r0.23c 0.39r0.14a 0.50r0.12a 6 0.89r0.17 1.00r0.24b 1.00r0.26a 1.00r0.26 0.86r0.30cde 1.00r0.28bcd 1.00r0.28b 1.33r0.32bcd 1.47r0.27bc 0.56r0.21abc 0.59r0.25ab 7 1.00r0.14 0.91r0.16ab 1.47r0.26bc 0.96r0.28 0.69r0.29bcd 0.76r0.13abc 1.20r0.29b 1.57r0.33d 1.59r0.26bc 0.56r0.15abc 0.60r0.13ab 8 1.00r0.17 0.91r0.12ab 1.27r0.26b 0.96r0.29 0.73r0.31bcde 0.76r0.30abc 1.16r0.29b 1.46r0.20cd 1.65r0.32c 0.52r0.15ab 0.56r0.15ab 9 1.00r0.15 0.87r0.18ab 1.40r0.25bc 1.00r0.15 0.61r0.20bc 1.12r0.27cd 0.39r0.32a 1.22r0.26bcd 1.31r0.23b 0.78r0.13cde 0.69r0.29bcd 10 0.80r0.16 0.91r0.22ab 1.31r0.11b 0.96r0.16 0.86r0.33cde 1.06r0.25bcd 1.23r0.27b 1.46r0.09cd 1.59r0.15bc 0.52r0.17ab 0.56r0.13ab 11 1.00r0.15 1.00r0.15b 1.52r0.23bc 0.94r0.28 0.59r0.15bc 0.74r0.09abc 1.14r0.29b 1.40r0.12cd 1.65r0.13c 0.62r0.18bcd 0.66r0.09bc 12 1.00r0.22 1.00r0.15b 1.67r0.15c 0.94r0.32 0.24r0.12a 0.55r0.30a 1.00r0.12b 1.00r0.27ab 1.31r0.27b 0.69r0.26bcd 0.65r0.26bc
®¤µ¥Á®»: * nµ Mean ideal ratio scores r nµÁ¸É¥Á¤µ¦µ µ¼o°·¤ 10 ´ª°´¬¦¸ÉÂnµ´ÄÂn¨³°¨´¤rªnµ¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ·· (Pd0.05) 79 ¸ 1.8 ¦®ªµ 1.3 ªµ¤Á¦¸¥Á¸¥ Ideal 0.8 trt.1 ¦Á¦¸Ê¥ª 0.3 µ¦Â¥ª °´ ÊεÁª¥r trt.2 -0.2 trt.3 ¨·É¦ ªµ¤¨ºÉ° trt.4 trt.5 ¨·É oµªÃ¡ ªµ¤ o®º trt.6
¨·É¤
(a)
¸ 1.8 ¦®ªµ ªµ¤Á¦¸¥Á¸¥ 1.3 0.8 Ideal ¦Á¦¸Ê¥ª µ¦Â¥´ª °ÊεÁª¥r 0.3 trt.7 -0.2 trt.8 ¨·É¦ ªµ¤¨ºÉ° trt.9 trt.10 ¨·É oµªÃ¡ ªµ¤ o®º trt.11
¨·É¤ trt.12 (b)
£µ¡ 5.2 a ¨³ b ÁoµÃ¦¨·£´r¸ÉÅoµÂµ¦¨°Â Plackett and Burmann; N = 12 80
µ¦µ 5.4 µ¦ª·Á¦µ³®r»£µ¡µoµÁ¤¸ ¨³µoµµ¥£µ¡ °Ã¥Á·¦r¤ oµªÃ¡Äµ¦¨°Â Plackett and Burman
·É Total Total pH Sucrose Reducing Total L a b viscosity ¨° solid content titratable acidity sugar sugar (% w/w) (%w/w as lactic acid) (pH-meter) (%w/w) (%w/w as invert sugar) (%w/w) (centipoise) 1 20.85r0.49c 1.84r0.06h 3.44r0.03b 2.46r0.11a 3.56r0.37bc 6.22r0.09e 90.68r0.69ef -6.54r0.69ef 31.34r0.46ef 11,250r56.57f 2 26.90r0.14d 1.18r0.02d 3.96r0.03e 3.89r0.06d 4.72r0.08e 8.40r0.23h 91.06r0.06fg -6.41r0.03g 29.61r0.05bc 13,160r169.70i 3 18.90r0.99bc 1.01r0.05b 4.28r0.02f 3.33r0.10c 4.17r0.08d 7.64r0.26g 86.97r0.91bc -6.84r0.08b 31.22r0.69ef 4,360r56.57d 4 29.75r2.62e 1.23r0.01de 3.87r0.14d 4.05r0.21d 4.97r0.11e 8.32r0.04h 90.08r0.02de -6.89r0.03b 29.69r0.26bc 14,280r56.57j 5 21.25r1.34c 1.60r0.02g 3.66r0.02c 2.18r0.04a 3.19r0.13b 5.85r0.10d 89.84r0.34d -6.60r0.03de 29.95r0.26cd 12,720r156.27h 6 19.85r0.92c 1.30r0.05f 3.69r0.04c 2.40r0.13a 3.36r0.11b 5.26r0.23c 91.51r0.07g -6.40r0.04g 30.46r0.11cde 11,920r113.14g 7 17.00r1.13ab 1.34r0.07f 3.38r0.08a 2.17r0.08a 2.41r0.18a 4.60r0.08b 85.01r0.42a -6.68r0.07cd 29.88r0.57cd 3,320r56.57b 8 18.65r0.64abc 1.12r0.03c 4.32r0.01f 2.26r0.04a 2.50r0.08a 6.32r0.23b 84.93r0.83a -6.78r0.21bc 31.53r1.98ef 4,920r56.56e 9 16.71r0.85ab 1.00r0.03a 4.26r0.01f 3.05r0.06b 3.62r0.28bc 6.16r0.27e 87.44r0.32c -7.16r0.11a 32.09r0.05f 3,520r43.56b 10 24.40r1.70d 1.64r0.05g 3.42r0.01b 2.20r0.26a 2.46r0.53a 4.66r0.08a 90.24r0.02de -6.47r0.02fg 31.06r0.07def 11,360r113.14f 11 20.15r0.92c 1.26r0.02e 3.32r0.05a 2.92r0.06b 3.20r0.03de 6.12r0.04de 86.21r0.01b -6.83r0.01b 28.63r0.04ab 4,320r59.23c 12 16.05r0.21a 1.05r0.01b 4.28r0.01f 3.04r0.09b 3.90r0.04f 6.76r0.15f 86.33r0.08b -6.28r0.02h 27.59r0.05a 2,800r38.25a
®¤µ¥Á®»: * nµÁ¨¸É¥ r nµÁ¸É¥Á¤µ¦µ µµ¦ª·Á¦µ³®r 3 Êε ´ª°´¬¦¸ÉÂnµ´ÄÂn¨³°¨´¤rªnµ¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ· (Pd0.05) 81
µ¦µ 5.5 nµ t ¸Éª·Á¦µ³®rÅoµ¨µ¦¨° Plackett and Burman ¨³¦³´´¥Îµ´µ ·· °¨¦³ °nª¤n°»£µ¡ °¨·£´rÃ¥Á·¦r¤ oµªÃ¡
Response Input Variables Variables Skim milk Starter culture Sugar Gelatin Temperature Fermentation times Viscosity 17.590e ns 2.349d ns ns ns nµ¸ L 13.166e ns ns ns 1.668b -3.217e nµ¸ a 1.636b -3.390d ns ns ns ns nµ¸ b ns ns ns 1.402a ns ns Total solid 3.445e ns ns ns ns ns Content Total Titratable 8.533e 1.817c -2.133d 2.370d ns 8.612e Acidity pH 2.932e ns 1.481c ns ns -1.697b Surcose ns ns 2.183d ns ns -3.630e Reducing ns - 1.842c ns ns ns -4.067e Sugar Total Sugar ns ns ns ns ns -2.871e ¸ -3.911e -1.853c ns ns 1.853c ns Á¦¸¥Á¸¥ ns ns ns ns ns -1.767c µ¦Â¥´ªÁª¥r -4.130e ns ns ns ns ns ªµ¤¨ºÉ° ns ns ns ns ns -2.803e ªµ¤ o®º 3.849e ns ns ns ns ns ¨·É¤ 6.839e 2.676e -1.883c 3.072e 3.271e ns ¨·É oµªÃ¡ 2.165d -2.726e ns -2.726e ns 3.848e ¨·É¦ ns ns ns ns ns 3.008e ¦Á¦¸Ê¥ª ns ns -1.856c ns ns 5.015e ¦®ªµ ns ns 2.779e ns ns -5.220e µ¦¥°¤¦´¦ª¤ ns ns 3.013e ns ns -5.657e
®¤µ¥Á®»: ´ª°´¬¦¸ÉÂnµ´¸Éε´´ªÁ¨ ÄÂn¨³°¨´¤rªnµ¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ·· a = nµ t-test ¸É¦³´ªµ¤ÁºÉ°¤´É 75% (Pd0.25) ¤¸nµ = r1.301 b = nµ t-test ¸É¦³´ªµ¤ÁºÉ°¤´É 80% (Pd0.20) ¤¸nµ = r1.476 c = nµ t-test ¸É¦³´ªµ¤ÁºÉ°¤´É 85% (Pd0.15) ¤¸nµ = r1.699 d = nµ t-test ¸É¦³´ªµ¤ÁºÉ°¤´É 90% (Pd0.10) ¤¸nµ = r2.015 e = µn t-test ¸É¦³´ªµ¤ÁºÉ°¤´É 95% (Pd0.05) ¤¸µ = r2.571 ns = non-significant (Ťn¤¸ªµ¤Ânµ°¥nµ¤¸´¥Îµ´µ··) 82
¨µ¦¨° ¨³µ¦ª·Á¦µ³®r¨µ··¸ÉÅoµµ¦¨°µ¤Âµ¦¨°Â Plackett and Burman; N = 12 ´ÊεĮo¦µªnµ{´¥Äoµ¸É¤¸°··¡¨n°»£µ¡ ° ¨·£´rµoµµ¥£µ¡ Á¤¸ ¨³µoµ¦³µ´¤´°¥nµ¤¸´¥Îµ´µ·· ¹É{´¥®¨´ ¸É¤¸°··¡¨n°¨·£´r ÅoÂn x ¤ µ¤´Á¥ : ¤¸°··¡¨°¥nµ¤¸´¥Îµ´µ·· (Pd0.15) n°»£µ¡ÄoµnµÇ ° ¨·£´rÃ¥Á·¦r¤ oµªÃ¡´ÊÄoµµ¥£µ¡ Á¤¸ ¨³µoµ¦³µ´¤´Ã¥ÎµÄ®o nµªµ¤®ºnµ¸ L ¦·¤µ °Â È´Ê®¤ ¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo (as lactic acid) nµªµ¤Á}¦Á}nµ ªµ¤ o®º¨·É¤ ¨³¨·É oµªÃ¡ ¤¸nµ Á¡·É¤ ¹Ê°¥nµ¤¸´¥Îµ´µ·· (Pd0.15) ÁºÉ°µÄÊ夤¸¦·¤µ °Ã¦¸¸É¼¹Îµ Ä®onµªµ¤®º ªµ¤ o®º ¨³¦·¤µ °Â È´Ê®¤¤¸¦·¤µ¼Á¡·É¤ ¹Ê ¨³¦·¤µ ¤ µ¤´Á¥¸É¼ ¹Ê´Ê °µ´Ê¥´n¨Ä®o¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo ¨³nµªµ¤Á}¦Á}nµ¤¸nµÁ¡·É¤ ¹Ê°¥nµ¤¸´¥Îµ´µ·· (Pd0.15) nª¨¦³¸É¤¸ n°nµªµ¤ªnµ (L) ´ÊÁ·µ¸ °´ª¤ µ¤´Á¥¸ÉεĮoªµ¤ªnµ °¨·£´r Á¡·É¤¼ ¹Êµ¤¦·¤µ °¤ µ¤´Á¥¸ÉÄoļ¦µ¦¨·Ã¥Á·¦r¤ oµªÃ¡ ¨oª¥´ εĮo¨·É¤ ¨³¨·É oµªÃ¡Á¡·É¤¼ ¹Ê°¸oª¥ °µ´Ê¨oª¤ µ¤´Á¥¥´¤¸ ¨ÎµÄ®o»¨´¬³ °¸ ¨³µ¦Â¥´ª °ÊεÁª¥r (whey off) °Ã¥Á·¦r¤ oµªÃ¡¨¨ °¥nµ¤¸´¥Îµ´µ·· (Pd0.15) oµ¤¸µ¦ÄoĦ·¤µ¸É¤µÁ·¦³´µ¦Äo¸ÉÁ®¤µ³¤ x ¦·¤µ®´ªÁºÊ°Á¦·É¤o µµ¦¨°¸ÉÅoεĮo¦µªnµ¦·¤µµ¦Äo®´ªÁºÊ°Á¦·É¤on¨®¦º° ¤¸°··¡¨n°»£µ¡ÄoµnµÇ °¨·£´rÃ¥Á·¦r¤ oµªÃ¡°¥nµ¤¸´¥Îµ´µ·· (Pd0.15) ´ÊÄoµµ¥£µ¡ Á¤¸ ¨³µoµ¦³µ´¤´ Ĩ´¬³¸Éε´Ç ®¨µ¥Ç ¨´¬³ Án¦³´µ¦Äo®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o¸É¦³´¼³n¨n°µ¦Á¡·É¤ °¦·¤µ ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo ¨³n¨Ä®o nµ¸ a ¨³¦·¤µ °Ê嵨¦¸·ªr ° ¨·£´rÃ¥Á·¦r¤ oµªÃ¡¤¸nµ¨¨°¥nµ¤¸´¥Îµ´µ·· (Pd 0.15) °µ´Ê¥´n ¨Ä®o¨·É °¤¤µ ¹Ê°¸oª¥ ¨³¦´ oµ¤ÎµÄ®o¨·É oµªÃ¡¨¨Á¤ºÉ°¦³´µ¦Äo ®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o¸É¦³´¼ 83 x Ê嵨¼Ã¦ ¹Én¨n°»£µ¡ÄoµnµÇ °¨·£´r ´Êoµµ¥£µ¡ Á¤¸ ¨³µ oµ¦³µ´¤´°¥nµ¤¸´¥Îµ´µ·· (Pd0.15) åεĮo nµªµ¤®º ªµ¤Á} ¦Á}nµ ¦·¤µÊ嵨¼Ã¦ ¦®ªµ ¨³µ¦¥°¤¦´Ã¥¦ª¤ °¨·£´r¤¸nµ ¼ ¹Ê ¨³¦´ oµ¤³ÎµÄ®onµ¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo ¦Á¦¸Ê¥ª ¨³ ¨·É¤ ¤¸nµ¨Éε¨°¥nµ¤¸´¥Îµ´µ·· (Pd0.15) x ¦³¥³Áª¨µÄµ¦®¤´ ¹Én¨n°»£µ¡ °¨·£´rÄoµnµÇ ´Êµµ¥£µ¡ Á¤¸ ¨³ µoµ¦³µ´¤´°¥nµ¤¸´¥Îµ´µ·· (Pd0.15) åεĮo ¦·¤µ¦´Ê®¤¸É µ¤µ¦ÅÁ¦Åo ¨·É oµªÃ¡ ¨·ÉÁ¦¸Ê¥ª ¨³¦Á¦¸Ê¥ª ¤¸nµ¼ ¹Ê°¥nµ¤¸´¥Îµ´µ ·· (Pd0.15) Ã¥¸ÉoµÄo¦³¥³Áª¨µÄµ¦®¤´¨·£´rÃ¥Á·¦r¤ oµªÃ¡Ä¦³´¸É¼ ³n¨¦³n°»¨´¬³´¨nµªÄ®o¤¸nµ¼ ¹Êµ¤¦³¥³Áª¨µµ¦®¤´¸ÉÁ¡·É¤ ¹Ê¨³¥´ n¨¦³n°»¨´¬³µoµ nµ¸ L nµªµ¤Á}¦Á}nµ ¦·¤µÊ嵨¼Ã¦ ¦·¤µÊ嵨¦¸·ªr ¦·¤µÊ嵨´Ê®¤ ªµ¤Á¦¸¥Á¸¥ ªµ¤¨ºÉ° ¦®ªµ ¨³µ¦¥°¤¦´Ã¥¦ª¤ ĵoµ¨º°oµÁ¡·É¤¦³´µ¦Äo ¦³¥³Áª¨µÄµ¦®¤´¼ ¹Ê ³n¨ÎµÄ®o»¨´¬³´¨nµª¨¨°¥nµ¤¸´¥Îµ´µ·· (Pd0.15) ´´Êĵ¦«¹¬µ ¦³´µ¦Äo¦³¥³Áª¨µÄµ¦®¤´¨·£´rÃ¥Á·¦r¤ oµªÃ¡ °¥nµ¨³Á°¸¥³n¨ÎµÄ®oÅo ¨·£´r¸É¤¸»£µ¡µ¤¸Éo°µ¦
nª{´¥¸ÉÁ®¨º°º° Á¨µ·Â¨³°»®£¼¤·Äµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡ ´Ê´ªnµÁ} {´¥¸É¤¸°··¡¨o°¥ (Minor effect) ÁºÉ°µÁ¤ºÉ°Îµµ¦ª·Á¦µ³®rnµµ··¡ªnµ{´¥´¨nµª ¦³´µ»£µ¡ ¨³nªÄ®nÁ}nµ¸ÉŤnε´¤µ´Äµ¦¡´µ¨·£´r ¨³¦³´ ªµ¤ÁºÉ°¤´É¸É¦³´nµ´¨nµª´ÊÁ}¦³´ªµ¤ÁºÉ°¤´É¸Én° oµÉε¹É°µ³Å¤nn¨ ¦³n°»£µ¡Ã¥¦ª¤ °¨·£´r ¹Îµµ¦«¹¬µÁ¡µ³nª °{´¥®¨´ (Main factor) Ánµ´Ênª{´¥¦° º° Á¨µ·´°»®£¼¤·Äµ¦®¤´´ÊÄ®oŪo¸É¦³´Éε ´´Ê¹Îµ{´¥®¨´´Ê 4 {´¥¸É¨´É¦°Åo´Ê¤µÎµµ¦«¹¬µ¦³´µ¦Äo °{´¥ n°Å º° ¤ µ¤´Á¥ ®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤oÊ嵨¼Ã¦ ¨³¦³¥³Áª¨µÄµ¦®¤´Ã¥ ε®nª¦³´¦·¤µ¸Éo°µ¦«¹¬µ´¸Ê ¤ µ¤´Á¥ ε®nªÄµ¦«¹¬µÁ} 5.00 – 9.00% ®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o 3.00 - 5.00% Ê嵨¼Ã¦ 5.00 – 9.00% ¨³¦³¥³Áª¨µ ĵ¦®¤´ 6.00 – 14.00 ´ÉªÃ¤ ¨³Îµ®{´¥°ºÉÄ®o¸É º° Á¨µ· 0.10% ¨³ °»®£¼¤· ĵ¦®¤´¸É 37 °«µÁ¨Á¸¥ 84
°¸É 3. «¹¬µ¦³´µ¦Äonª¤¸ÉÁ}{´¥®¨´Äµ¦¨· x µ¦¨°¸É 3.1 «¹¬µ¦³´µ¦Äo °®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o¨³¦³¥³Áª¨µÄµ¦®¤´
ε®{´¥ A, C, D ¨³ F Á}{´¥¸É å宦³´ °{´¥ D ¨³ F Ä ¦³´Éε¹ÉÁ}¨¸ÉÅoµµ¦¨°Ä°¸É 2 (Plackett and Burmann; N = 12) nª{´¥ A ¨³ C Á}µ¦Á¨º°ÄoĦ³´¸ÉÁ®¤µ³¤ ¹É¨µµ¦¡·µ¦µµ¦¨°¸Énµ¤µ ¼µ¦³´ °{´¥¸ÉÄ®o¨µ¦¨°¸É¸¸É»ÄÂn¨³nµ´Á εĮo¦µªnµ¸É¦³´ °{´¥ A ¨³ C ¸É¦³´¼º° 9.00% ³Ä®o¨°°n°nµ´Á¸É¸ªnµ¦³´°ºÉÇ °¥nµ¤¸´¥Îµ´µ·· (Pd0.15) 嵦ªµÂµ¦¨°Â 22 Factorial design with 2 centerpoints ¨³Îµ®Ä®o ®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o ¨³¦³¥³Áª¨µÄµ¦®¤´Á}{´¥¸Éo°µ¦«¹¬µ åε®¼¦Â¨³ ¦³ªµ¦¨°Åªoĵ¦µ 4.3, 4.4 ¨³ 4.5 µ¤¨Îµ´ ¨µ¦ª·Á¦µ³®r»£µ¡µoµµ¥£µ¡ Á¤¸ ¨³µoµ¦³µ´¤´¡¦o°¤´Êµ¦ ª·Á¦µ³®r¨µ·· °Ân¨³·É¨°ÅoÂŪoĵ¦µ 5.6 ¨³ 5.7 µ¤¨Îµ´¡¦o°¤´Ê ÂÁoµÃ¦ °¨·£´r¸ÉÅoÄÂn¨³·É¨°Á¸¥´ÁoµÃ¦¨·£´rÄ°»¤· (Ideal) ¸É¼o°·¤µ®ª´µ´ª¨·£´r ´ÂÄ£µ¡ 5.3 85
µ¦µ 5.6 ¨´¬³µ¦³µ´¤´ °Ã¥Á·¦r¤ oµªÃ¡µµ¦«¹¬µ¦³´µ¦Äo®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o ¨³¦³¥³Áª¨µÄµ¦®¤´
·É¸ ªµ¤Á¦¸¥Á¸¥ µ¦Â¥ ªµ¤¨ºÉ° ªµ¤ o®º¨·É¤ ¨·É oµªÃ¡ ¨·É¦ ¦Á¦¸Ê¥ª ¦®ªµ µ¦¥°¤¦´ ¨° ´ª °ÊεÁª¥r Ã¥¦ª¤
1 0.80r0.16 0.93r0.15 0.96r0.10 0.94r0.15 0.86r0.28b 0.81r0.28b 1.00r0.28a 0.75r0.12a 0.71r0.09a 1.08r0.06b 0.61r0.23b 2 0.80r0.18 0.96r0.12 1.00r0.09 0.96r0.15 0.90r0.41b 0.80r0.29b 1.00r0.37a 0.73r0.37a 0.73r0.30a 1.12r0.05b 0.60r0.29b 3 0.84r0.18 0.98r0.25 1.00r0.11 1.00r0.23 0.69r0.23a 0.54r0.30a 1.28r0.29b 1.20r0.29c 1.34r0.22c 0.77r0.13a 0.38r0.17a 4 0.86r0.20 1.00r0.12 1.01r0.25 1.00r0.28 0.67r0.31a 0.54r0.31a 1.28r0.34b 1.22r0.26c 1.34r0.27c 0.73r0.23a 0.38r0.15a 5 0.88r0.22 1.00r0.15 1.08r0.09 1.00r0.17 0.93r0.28c 0.77r0.15b 1.09r0.34ab 1.02r0.25b 1.03r0.23b 1.01r0.14b 0.72r0.12c 6 0.88r0.17 1.00r0.24 1.07r0.26 1.00r0.26 0.94r0.30c 0.78r0.28b 1.08r0.28ab 1.00r0.32b 0.99r0.27b 1.02r0.21b 0.73r0.25c
®¤µ¥Á®» : * nµ Mean ideal ratio scores r nµÁ¸É¥Á¤µ¦µ µ¼o°·¤ 10 ´ª°´¬¦¸ÉÂnµ´ÄÂn¨³°¨´¤rªnµ¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ··¸É Pd0.05 86
µ¦µ 5.7 µ¦ª·Á¦µ³®r»£µ¡µoµÁ¤¸ ¨³µoµµ¥£µ¡ °Ã¥Á·¦r¤ oµªÃ¡µµ¦«¹¬µ¦³´µ¦Äo®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o ¨³¦³¥³Áª¨µÄµ¦®¤´
·É Total solid content Total titratable acidity pH Sucrose Reducing sugar Total sugar L a b viscosity ¨° (% w/w) (% w/w as lactic acid) (pH-meter) (% w/w) (% w/w as invert sugar) (% w/w) (centipoise)
1 20.10r0.49 1.16r0.06a 3.93r0.03c 3.97r0.11c 4.60r0.37c 8.36r0.09b 90.87r0.69c -6.48r0.69 30.48r0.46 4,120r56.57a 2 20.42r0.14 1.34r0.02a 3.93r0.03c 4.09r0.06c 4.74r0.08d 8.10r0.23b 90.79r0.06c -6.86r0.03 30.46r0.05 4,205r56.57a 3 20.00r0.99 1.79r0.01b 3.31r0.02a 2.35r0.10a 3.50r0.08a 4.22r0.26a 84.68r0.91a -6.50r0.08 30.20r0.60 11,205r56.57b 4 20.08r2.62 1.74r0.01b 3.22r0.14a 2.34r0.21a 3.38r0.11a 4.55r0.04b 86.75r0.02ab -6.73r0.03 30.70r0.26 12,210r169.70b 5 20.12r1.34 1.32r0.02a 3.66r0.01b 3.34r0.04b 4.18r0.13b 6.60r0.10c 88.40r0.34bc -6.56r0.03 32.31r0.26 14,770r124.22c 6 20.08r0.92 1.27r0.01a 3.70r0.01b 3.42r0.13b 4.20r0.11b 6.70r0.23c 89.80r0.07c -6.84r0.04 29.84r0.11 16,220r113.14c
®¤µ¥Á®» : * nµÁ¨¸É¥r nµÁ¸É¥Á¤µ¦µ µµ¦ª·Á¦µ³®r 3 Êε ´ª°´¬¦¸ÉÂnµ´ÄÂn¨³°¨´¤rªnµ¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ··¸É Pd0.05 87
¸ 1.5 ¦®ªµ ªµ¤Á¦¸¥Á¸¥ 1 Ideal 0.5 ¦Á¦¸Ê¥ª µ¦Â¥´ª °ÊεÁª¥r trt.1 0 trt.2 ¨·É¦ ªµ¤¨ºÉ° trt.3 trt.4 ¨·É oµªÃ¡ ªµ¤ o®º trt.5 ¨·É¤ trt.6
£µ¡ 5.3 ÁoµÃ¦¨·£´rµµ¦«¹¬µ¦³´µ¦Äo®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o ¨³¦³¥³Áª¨µ ĵ¦®¤´
¨µ¦ª·Á¦µ³®r»£µ¡µoµ¦³µ´¤´ (µ¦µ 5.6) ¡ªnµ¦³´µ¦Äo °{´¥ (F) º° ¦³¥³Áª¨µÄµ¦®¤´¤¸¨°°n°µ¦¥°¤¦´ °¨·£´rĨ´¬³nµÇ °¥nµ¤¸´¥Îµ´µ·· (Pd0.05) Ã¥µ¤µ¦ÂĦ¼ °¤µ¦°¥¸É¥´Å¤nÅo°¦®´ (Coded equation) Åo´¸Ê (1) ªµ¤ o®º = 0.935 - 0.1(F) - 0.155(F)2 R2 = 0.9970 (2) ¨·É¤ = 0.775 - 0.133(F) - 0.102(F)2 R2 = 0.9970 (3) ¨·É oµªÃ¡ = 1.085 + 0.14(F) R2 = 0.9970 (4) ¨·É¦ = 1.010 + 0.235(F) R2 = 0.9960 (5) ¦Á¦¸Ê¥ª = 1.010 + 0.310(F) R2 = 0.9900 (6) ¦®ªµ = 1.015 - 0.195(F) R2 = 0.9980 (7) µ¦¥°¤¦´Ã¥¦ª¤ = 0.725 - 0.112(F) R2 = 0.9980 ¨µ¦ª·Á¦µ³®r»£µ¡µoµµ¥£µ¡ ¨³µoµÁ¤¸ (µ¦µ 5.7) ¡ªnµµ¦Á¨¸É¥ ¨¦³´µ¦Äo{´¥´Ê° º°®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o ¨³¦³¥³Áª¨µÄµ¦®¤´¤¸¨n° ¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo nµªµ¤Á}¦Á}nµ Ê嵨¼Ã¦ Ê嵨¦¸·ªr 88
¨³¦·¤µÊ嵨´Ê®¤ °¥nµ¤¸´¥Îµ´µ··¸É P d 0.05 ¹Éµ¤µ¦ÂĦ¼¤µ¦ °¥¸É¥´Å¤nÅo°¦®´ (Coded equation regression) Åo´¸Ê
2 2 (1) ¦´Ê®¤ (% w/w as lactic acid) = 1.295 + 0.258(F) + 0.213(F) R = 0.9820 (2) pH = 3.265 - 0.125(F) R2 = 0.9560 (3) Ê嵨¼Ã¦ (% w/w) = 3.380 - 0.843(F) R2 = 0.9940 2 (4) Ê嵨¦¸·ªr (% w/w as invert sugar) = 4.190 - 0.615(F) R = 0.9999 (5) Ê嵨´Ê®¤ (% w/w) = 6.650 - 0.192(F) R2 = 0.9980
ĵ¦Îµª®µ¦·¤µµ¦Äo °{´¥¸ÉÁ®¤µ³¤´Ê ³ÎµÁ°µ¤µ¦¸É¤¸¨n° »£µ¡µµ¥£µ¡ Á¤¸ ¨³¨´¬³µ¦³µ´¤´Ã¥¡·µ¦µnµ R2 ¹ÉÁ}nµ¸É¹ ªµ¤´¤¡´r¦³®ªnµ´ªÂ¦¸É«¹¬µªnµ¤µ¦°¥´ÊÇ ¤¸ªµ¤Â¤n¥ÎµÄµ¦µ³Á¨Á¡¸¥ ĤµÎµµ¦°¦®´ °´ªÂ¦ °Ân¨³¤µ¦ Á¡ºÉ°Ä®oÅo¨Ä¨oÁ¸¥´¨´¬³¸ÉÁ}¨´¬³ Ä°»¤· °¨·£´r¤µ¸É» µ¦¡·µ¦µ³Á¨º°¤µ¦°¥¸É¤¸nµ R2 ¼ (¤¸nµÁ oµÄ¨o 1) ¤µÎµµ¦°¦®´ (Decoding) °´ªÂ¦ °¤µ¦ Coded equation ¹Éµ¤µ¦ÎµÅoÃ¥µ¦ εÁ°µ¤µ¦ Coded equation ¤µÂo¤µ¦Ã¥¤¸¼¦Îµª´¸Ê
´ªÂ¦Á oµ¦®´ = nµ¦· - (nµ¸É¦³´¼ °{´¥ + nµ¸É¦³´Éε °{´¥) /2 (nµ¸É¦³´¼ °{´¥ - nµ¸É¦³´Éε °{´¥) /2
¨oªÎµÁ°µ{´¥¸É¥´Å¤nÅo°¦®´ÅÂnµÄ¤µ¦ Coded equation ¨³ÂoÅ ¤ µ¦ÅoÁ}¤µ¦¸É°¦®´Â¨oª (Decoded equation) ¹Éµ¤µ¦ÎµÁ°µ¤µ¦¸ÉÅo¸Êŵ ³Á¨É¸Á· ¹ÊÅo Ânµ¦µ³Á³o°Å¤nεÄnª¸ÉÁ·µnª¦³´¼Éε¸ÉÅoµµ¦ ¨°Ánµ´Ê 89
¨ °¤µ¦¸É°¦®´Â¨oª ´n°Å¸Ê
(1) ªµ¤ o®º = 1.035 + 0.005(F) - 0.002(F)2 R2 = 0.9970 (2) ¨·É¤ = 0.416 + 0.117(F) - 0.006(F)2 R2 = 0.9970 (3) ¨·É oµªÃ¡ = 0.735 + 0.035(F) R2 = 0.9970 (4) ¨·É¦ = 0.422 + 0.059(F) R2 = 0.9960 (5) ¦Á¦¸Ê¥ª = 0.235 + 0.078(F) R2 = 0.9900 (6) ¦®ªµ = 0.811 + 0.037(F) - 0.002(F)2 R2 = 0.9980 (7) µ¦¥°¤¦´Ã¥¦ª¤ = -0.451 + 0.263(F) - 0.015(F)2 R2 = 0.9980 (8) ¦´Ê®¤ (% w/w) = 1.981 - 0.202(F) + 0.013(F)2 R2 = 0.9820 (9) pH = 4.116 – 0.049(F) R2 = 0.9560 (10) Ê嵨¼Ã¦ (% w/w) = 5.487 - 0.211(F) R2 = 0.9940 (11) Ê嵨¦¸·ªr (% w/w) = 5.728 - 0.154(F) R2 = 0.9999 (12) Ê嵨´Ê®¤ (% w/w) = 7.131 - 0.048 (F) R2 = 0.9980
µ¤µ¦¸ÉÅoµµ¦°¦®´Â¨oª (Decoded equation) µ¤µ¦ÎµÅµ³Á¨¸É Á· ¹ÊÃ¥Ânµ¦³´¦·¤µµ¦Äo¦³¥³Áª¨µÄµ¦®¤´ Änª¸É嵦«¹¬µ Á¡ºÉ°Ä®oÅonµ °° °Ân¨³¨´¬³Ä®o¤¸nµ Mean ideal ratio score Á oµÄ¨onµ¸É¸¸É»º°Á oµÄ¨o 1.00 ¤µ¸É» Ħ¸ °µ¦°° °¨´¬³¸ÉÅoµµ¦°µoµ¦³µ´¤´ 夵¦¸É°¦®´Â¨oª¤µÂnµ¦³´µ¦Äo¦³¥³Áª¨µÄµ¦®¤´ Änª¸É嵦«¹¬µ º° 6 - 14 ´ÉªÃ¤ Á¡ºÉ°µ³Á¨¸ÉÁ· ¹Ê¹Éµ¤µ¦Â¨Åo´¸Ê 90
(1) ªµ¤ o®º = 1.035 + 0.005(F) - 0.002(F)2 R2 = 0.9970
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 1.011 f(7) = 0.996 f(8) = 0.979 f(9) = 0.958 f(10) = 0.935 f(11) = 0.908 f(12) = 0.879 f(13) = 0.846 f(14) = 0.811
µµ¦ÂnµÄ¤µ¦ °ªµ¤ o®º ÂÄ®oÁ®Èªnµµ¦Äo ¦³¥³Áª¨µÄµ¦®¤´¸É ¦³´n°Åµ¦³´Éε (7 ´ÉªÃ¤) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³ªµ¤ o®ºÁ oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤·· Ħ¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=1.0348+0.0050313*y-0.001516*y*y
0.792 0.815 0.838 0.861 0.884 0.907 0.93 0.953 0.976 0.999 above £µ¡ 5.4 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³ªµ¤ o®º 91
(2) ¨·É¤ = 0.416 + 0.12(F) - 0.006(F)2 R2 = 0.9970
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 0.920 f(7) = 0.926 f(8) = 0.992 f(9) = 1.010 f(10) = 1.016 f(11) = 1.010 f(12) = 0.992 f(13) = 0.962 f(14) = 0.920
µµ¦ÂnµÄ¤µ¦ °¨·É¤ ÂÄ®oÁ®Èªnµµ¦Äo ¦³¥³Áª¨µÄµ¦®¤´¸É ¦³´n°Åµ¦³´¨µ (9 - 11´ÉªÃ¤) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³¨·É ¤Á oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä ¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.416+0.12*y-0.006*y*y
0.88 0.893 0.907 0.921 0.934 0.948 0.961 0.975 0.989 1.002 above £µ¡ 5.5 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¨·É¤ 92
(3) ¨·É oµªÃ¡ = 0.735 + 0.035(F) R2 = 0.9970
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 0.945 f(7) = 0.980 f(8) = 1.015 f(9) = 1.050 f(10) = 1.085 f(11) = 1.120 f(12) = 1.155 f(13) = 1.190 f(14) = 1.225
µµ¦ÂnµÄ¤µ¦ °¨·É oµªÃ¡ ÂÄ®oÁ®Èªnµµ¦Äo ¦³¥³Áª¨µÄµ¦®¤´¸É ¦³´n°Åµ¦³´¨µ (8 ´ÉªÃ¤) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³¨·É oµªÃ¡Á oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤·· Ħ¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.735+0.035*y
0.942 0.974 1.005 1.037 1.069 1.101 1.133 1.165 1.196 1.228 above
£µ¡ 5.6 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¨·É oµªÃ¡ 93
(4) ¨·É¦ = 0.422 + 0.059(F) R2 = 0.9960
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 0.775 f(7) = 0.834 f(8) = 0.892 f(9) = 0.951 f(10) = 1.010 f(11) = 1.069 f(12) = 1.127 f(13) = 1.186 f(14) = 1.245
Á¤ºÉ°ÂnµÄ¤µ¦ °¨·É¦ ÂÄ®oÁ®Èªnµµ¦Äo ¦³¥³Áª¨µÄµ¦®¤´¸É¦³´ ¨µ (10 ´ÉªÃ¤) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³ ¨·É¦ Á oµÄ¨o 1 ¤µ¸É» ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦° ° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=5.487-0.211*y
2.514 2.706 2.897 3.089 3.281 3.473 3.665 3.857 4.048 4.24 above
£µ¡ 5.7 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¨·É¦ 94
(5) ¦Á¦¸Ê¥ª = 0.235 + 0.078(F) R2 = 0.9900
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 0.700 f(7) = 0.777 f(8) = 0.855 f(9) = 0.933 f(10) = 1.010 f(11) = 1.087 f(12) = 1.165 f(13) = 1.243 f(14) = 1.320
ĵ¦ÂnµÄ¤µ¦ °¦Á¦¸Ê¥ª ÂÄ®oÁ®Èªnµ¦³¥³Áª¨µÄµ¦®¤´¸É¦³´¨µ (10 ´ÉªÃ¤) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³ ¦Á¦¸Ê¥ª Á oµÄ¨o 1 ¤µ¸É»¹É ³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.235+0.0775*y
0.693 0.763 0.834 0.904 0.975 1.045 1.116 1.186 1.257 1.327 above
£µ¡ 5.8 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¦Á¦¸Ê¥ª 95
(6) ¦®ªµ = 0.811 + 0.0375(F) - 0.00185(F)2 R2 = 0.9980
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 0.969 f(7) = 0.983 f(8) = 0.993 f(9) = 0.999 f(10) = 1.001 f(11) = 1.000 f(12) = 0.995 f(13) = 0.986 f(14) = 0.973
µ¦ÂnµÄ¤µ¦ °¦®ªµ ÂÄ®oÁ®Èªnµ¦³¥³Áª¨µÄµ¦®¤´¸Én°Åµ ¦³´¨µ (10, 11 ´ÉªÃ¤) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³ ¦®ªµ Á oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸É µ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.811+0.0375*y-0.00185*y*y
0.957 0.961 0.966 0.97 0.974 0.979 0.983 0.988 0.992 0.997 above
£µ¡ 5.9 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¦®ªµ 96
(7) µ¦¥°¤¦´Ã¥¦ª¤ = -0.451 + 0.263(F) - 0.015(F)2 R2 = 0.9980
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 0.604 f(7) = 0.678 f(8) = 0.723 f(9) = 0.725 f(10) = 0.738 f(11) = 0.682 f(12) = 0.611 f(13) = 0.510 f(14) = 0.380
ĵ¦ÂnµÄ¤µ¦ °µ¦¥°¤¦´Ã¥¦ª¤ ÂÄ®oÁ®Èªnµ¦³¥³Áª¨µÄµ¦®¤´¸É ¦³´¨µ (10 ´ÉªÃ¤) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³µ¦¥°¤¦´Ã¥¦ª¤Á oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸É µ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=-0.45125+0.26325*y-0.0145625*y*y
0.268 0.315 0.362 0.409 0.456 0.503 0.55 0.597 0.644 0.691 above
£µ¡ 5.10 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ 97
(8) ¦´Ê®¤ (% w/w as lactic acid) = 1.981 - 0.202(F) + 0.013(F)2 R2 = 0.9820
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 1.250 f(7) = 1.221 f(8) = 1.219 f(9) = 1.244 f(10) = 1.295 f(11) = 1.373 f(12) = 1.477 f(13) = 1.608 f(14) = 1.766
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.6 ¨³µ¦µ 5.7) εĮo¦µªnµnµ¦·¤µ¦´Ê®¤ ¸É¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦Á¦¸Ê¥ª ¸ÉÅo µµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¹É¤¸nµÁnµ´ 1.27% ¨³ ÂnµÄ¤µ¦°°¥ °¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo
¡ªnµ¦³´µ¦Äo¸ÉÁ®¤µ³¤¸ÉεĮonµ¦·¤µ¦´Ê®¤¤¸nµÄ¨oÁ¸¥nµ¸É¸¸É»º° µ¦Äo¦³¥³Áª¨µÄµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡¸É¦³´¨µ (10 ´ÉªÃ¤) ¹É³Á®ÈÅo´ÁÁ¤ºÉ° 夵¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 98
3D Surface Plot (NEW.STA 10v*10c) z=1.981-0.202*y+0.013*y*y
1.258 1.32 1.382 1.444 1.505 1.567 1.629 1.691 1.752 1.814 above
£µ¡ 5.11 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµ¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo
(9) pH = 4.116 – 0.049(F) R2 = 0.9560
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 3.822 f(7) = 3.773 f(8) = 3.724 f(9) = 3.675 f(10) = 3.626 f(11) = 3.577 f(12) = 3.528 f(13) = 3.479 f(14) = 3.430 99
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.6 ¨³µ¦µ 5.7) εĮo¦µªnµnµªµ¤Á}¦Á}nµ ¸É¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦Á¦¸Ê¥ª ¸É Åoµµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¹É¤¸nµÁnµ´ 3.70 ¨³ 嵦ÂnµÄ¤µ¦°°¥ °nµªµ¤Á}¦Á}nµ ¡ªnµ¦³´µ¦Äo¸Éµ¤µ¦ÎµÄ®onµªµ¤Á}¦Á}nµ ¤¸nµÄ¨oÁ¸¥nµ¸É¸¸É»º° µ¦Äo¦³¥³Áª¨µÄµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡¸É¦³´¨µ (9 - 10 ´ÉªÃ¤) ¹É³Á®ÈÅo´Á Á¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=4.116-0.049*y
3.141 3.169 3.198 3.226 3.254 3.282 3.31 3.338 3.367 3.395 above £µ¡ 5.12 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµªµ¤Á}¦Á}nµ
(10) Ê嵨¼Ã¦ (% w/w) = 5.487 - 0.211(F) R2 = 0.9940 Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 4.223 f(7) = 4.012 f(8) = 3.801 f(9) = 3.591 f(10) = 3.380 f(11) = 3.169 f(12) = 2.658 f(13) = 2.748 f(14) = 2.537 100
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.6 ¨³µ¦µ 5.7) εĮo¦µªnµnµ¦·¤µÊ嵨¼Ã¦ ¸É¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦®ªµ ¸ÉÅoµµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¤¸nµÁnµ´ 3.34% ¨³ 嵦ÂnµÄ¤µ¦°°¥ °nµ¦·¤µÊ嵨¼Ã¦ ¡ªnµ¦³´µ¦Äo¸ÉÁ®¤µ³¤¹Éµ¤µ¦ÎµÄ®onµ¦·¤µÊ嵨¼Ã¦¤¸nµÄ¨oÁ¸¥nµ¸É ¸¸É»º°µ¦Äo¦³¥³Áª¨µÄµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡¸É¦³´¨µ (10 ´ÉªÃ¤) ¹É³Á®ÈÅo ´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=5.487-0.211*y
2.514 2.706 2.897 3.089 3.281 3.473 3.665 3.857 4.048 4.24 above £µ¡ 5.13 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµ¦·¤µÊ嵨¼Ã¦
(11) Ê嵨¦¸·ªr (% w/w) = 5.728 - 0.154(F) R2 = 0.9999 Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 4.805 f(7) = 4.651 f(8) = 4.498 f(9) = 4.344 f(10) = 4.190 f(11) = 4.036 f(12) = 3.883 f(13) = 3.729 f(14) = 3.575 101
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.6 ¨³µ¦µ 5.7) εĮo¦µªnµnµ¦·¤µÊ嵨¦¸·ªr ¸É¸¸É»Â¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦®ªµ ¸ÉÅo µµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¤¸nµÁnµ´ 4.18% ¨³Îµ µ¦ÂnµÄ¤µ¦°°¥ °nµ¦·¤µÊ嵨¦¸·ªr ¡ªnµ¦³´µ¦Äo¸Éµ¤µ¦ÎµÄ®onµ¦·¤µÊ嵨¦¸·ªr ¤¸nµÄ¨oÁ¸¥nµ¸É¸¸É»º°µ¦ Äo¦³¥³Áª¨µÄµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡¸É¦³´¨µ (10 ´ÉªÃ¤) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=5.487-0.211*y
2.514 2.706 2.897 3.089 3.281 3.473 3.665 3.857 4.048 4.24 above
£µ¡ 5.14 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµ¦·¤µÊ嵨¦¸·ªr 102
(12) Ê嵨´Ê®¤ (% w/w) = 7.131 - 0.048(F) R2 = 0.9980
Ânµ¦³¥³Áª¨µÄµ¦®¤´´ÊÂn 6 - 14 ´ÉªÃ¤ Åo¨´¸Ê f(6) = 6.842 f(7) = 6.794 f(8) = 6.746 f(9) = 6.698 f(10) = 6.650 f(11) = 6.602 f(12) = 6.554 f(13) = 6.506 f(14) = 6.458 ¨µ¦¨°¸Énµ¤µ (µ¦µ 5.6 ¨³µ¦µ 5.7) εĮo¦µªnµnµ¦·¤µÊ嵨´Ê®¤ ¸É¸¸É»Â¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦®ªµ ¸ÉÅo µµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¤¸nµÁnµ´ 6.60% ¨³Îµ µ¦ÂnµÄ¤µ¦°°¥ °nµ¦·¤µÊ嵨´Ê®¤ ¡ªnµ¦³´µ¦Äo¸ÉεĮonµ¦·¤µÊ嵨´Ê®¤¤¸nµÄ¨oÁ¸¥nµ¸É¸¸É»º°µ¦Äo ¦³¥³Áª¨µÄµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡¸É¦³´¨µ (10 ´ÉªÃ¤) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=7.131-0.048*y
6.455 6.498 6.542 6.586 6.629 6.673 6.716 6.76 6.804 6.847 above £µ¡ 5.15 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµ¦·¤µÊ嵨´Ê®¤ 103
µ¨µ¦¨°Á¤ºÉ°Ânµ °¦³´ °{´¥º° ¦³¥³Áª¨µÄµ¦®¤´ (´ÉªÃ¤) Ĥµ¦°¥nµÇ ¸ÉÅoµµ¦ª·Á¦µ³®r¨µoµ·· Ã¥Á¨º°¤µ¦¸É¤¸nµ R2 Á oµÄ¨o 1.00 ¤µ¸É» ¨¸ÉÅoµµ¦¨°Ä°¸É 3.1 ³Á®ÈÅoªnµµ¦°´Êµoµµ¥£µ¡ µÁ¤¸ ¨³µoµ¦³µ´¤´¡ªnµ¤¸¤µ¦°¥ ¹ 11 ¤µ¦¸É¤¸ªµ¤´¤¡´r´Êªµ¤ ´¤¡´rÁ·Áo¦ (Linear effect) ¨³ÂÁ·ÁoÃo (Quadratic effect) Á¤ºÉ°Ânµnª °¦³´{´¥¸É嵦«¹¬µ¨Ä¤µ¦°¥¸ÉÅo¨oª¡ªnµ¦³¥³ Áª¨µÄµ¦®¤´ (´ÉªÃ¤) ´ÊnªÄ®n³Äo{´¥Ä¦³´¨µ º° 10 ´ÉªÃ¤ ¨³¤¸µ¤µ¦ ¸ÉÄ®o¨ªnµª¦Äo¦³´{´¥¸É¦³´Éε´´Ê¹o°Á¨º°¤µ¦°¥ ®¦º°»¨´¬³ÄÇ Á} ´ªÂ °µ¦¨°¸ÉÄ®o¨Ä¨oÁ¸¥´nµ¦·¤µ¸É»Ã¥¡·µ¦µ¼ªµ¤´¤¡´r¦³®ªnµ »¨´¬³nµÇ ĵ¦°µoµ¦³µ´¤´Á}®¨´ªnµ»¨´¬³Äoµ¤¸ªµ¤ ´¤¡´rĨo·´»¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ ¸É¤¸n°¨·£´r°¥nµ¤¸´¥Îµ´µ·· (Pd 0.05) Ã¥µ¦Îµ»¨´¬³µoµ¦³µ´¤´º°¸ ªµ¤Á¦¸¥Á¸¥ µ¦Â¥´ª ° ÊεÁª¥r ªµ¤¨ºÉ° ªµ¤ o®º¨·É¤ ¨·É oµªÃ¡ ¨·É¦ ¦Á¦¸Ê¥ª ¨³ ¦®ªµ ¤µÎµµ¦ª·Á¦µ³®r¦¸Á¦´É´»¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ ¹ÉÅo¨µ¦°´¸Ê
µ¦¥°¤¦´Ã¥¦ª¤ = -1.546 + 2.71(¨·É¤) + 0.554(¦Á¦¸Ê¥ª) – 0.383(¦®ªµ) R2 =0.9999
ĵ¦°ªµ¤´¤¡´r´¨nµª¡ªnµ»¨´¬³¸É¤¸ªµ¤´¤¡´r¨³µ¤µ¦ °·µ¥ ªµ¤Á}¨·£´rÄÂn °»¨´¬³µoµ¦³µ´¤´Åo¸ ¨³¦°¨»¤¸É» ´»¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ ÅoÂn ¨·É¤ ¦Á¦¸Ê¥ª ¨³¦®ªµ µ´Ê夵¦ °¥¸ÉÅoµ´Ê 3 »¨´¬³ ´¨nµª¸ÉÅo¤µ®µ»¸ÉÁ®¤µ³¤ (Optimization) °¦³´µ¦ Äo{´¥ £µ¥Änª °¦³´{´¥¸ÉÄoĵ¦«¹¬µ (6 - 14 ´ÉªÃ¤) Ã¥µ¦Îµ Partial derivative ´¤µ¦°¥¸ÉÅoµ¤µ¦´¨nµªº°¨·É¤ ¦Á¦¸Ê¥ª ¨³¦®ªµ
ÁºÉ°µ¦¼Â®»n¨Îµ´¸É° (º°¤¸ªµ¤´¤¡´rÁ·ÁoÃo; Quadratic effect)  ĮoÁ®ÈªnµÁ}¤µ¦¸É¸¸Éµ¤µ¦°·µ¥ªµ¤°¨o° ° o°¤¼¨¸É¸ ´´Ê³Äo¤µ¦´¨nµª ĵ¦o®µ¦³´¸ÉÁ®¤µ³¤´¸Ê åε®Ä®o Ǔ (¤µ¦°¥) Á}¢{´É ° X (´ªÂ¦¸É«¹¬µ) ε® Partial derivative Ǔ/x ¨³Ä®o¢{r´É¤¸nµÁ}«¼¥rÁ¡ºÉ°®µ»¥° °¦µ¢Åo ´¸Ê 104
(1) ¨·É¤ (Ǔ) = 0.416 + 0.12(F) - 0.006(F)2 R2 = 0.9970 Ǔ/x = 0.12 - 0.012(F) = 0 X = 0.12/0.012 = 10 ´ÉªÃ¤ µµ¦Ânµ´ªÂ¦Â¨³Îµµ¦Âo¤µ¦µ¤¢{r´É °¤µ¦°¥¸ÉÅoµµ¦ ¨°Â¨oªÎµ Partial derivative Á¡ºÉ°®µ»¸ÉÁ®¤µ³¤ °{´¥¦»Åoªnµ¦³´{´¥¸ÉÁ®¤µ³¤ ¨³ÎµÄ®onµ¨·É¤ Á oµÄ¨o Ideal ¤µ¸É» (1.00) º° 10 ´ÉªÃ¤ ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) (2) ¦®ªµ (Ǔ) = 0.811 + 0.0375(F) - 0.00185(F)2 R2 = 0.9980 Ǔ/x = 0.0375 - 0.0037(F) = 0 X = 0.0375/0.0037 = 10.14 ´ÉªÃ¤ ®¦º° X = 10 ´ÉªÃ¤ ´ 8.4 µ¸ µµ¦Ânµ´ªÂ¦ ¨³Îµµ¦Âo¤µ¦µ¤¢{r´É °¤µ¦°¥¸ÉÅoµµ¦ ¨°Â¨oªÎµ Partial derivative Á¡ºÉ°®µ»¸ÉÁ®¤µ³¤ °{´¥¦»Åoªnµ¦³´{´¥¸ÉÁ®¤µ³¤ ¨³ÎµÄ®onµ ¦®ªµ Á oµÄ¨o Ideal ¤µ¸É» (1.00) º° 10 ´ÉªÃ¤ ´°¸ 8.4 µ¸ ¹É³Á®ÈÅo ´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) nª°¸¤µ¦®¹Éº° ¦Á¦¸Ê¥ª ¹É¤¸ªµ¤´¤¡´r¨Îµ´¸É®¹É (linear effect) 嵦Ânµµ¤¤µ¦³Åoªnµ (3) ¦Á¦¸Ê¥ª (Ǔ) = 0.235 + 0.0775(F) R2 = 0.9900 - Á¤ºÉ°nµ¦Á¦¸Ê¥ª¸É¸¸É»Ä°»¤·¤¸nµÁnµ´ 1.00 ´´Ê³Åoªnµ
¦Á¦¸Ê¥ª = 1 = 0.235 + 0.0775(F) Á¡¦µ³³´Ê fermentation time = 0.765/0.0775 =9.87´ÉªÃ¤ ®¦º° fermentation time = 9 ´ÉªÃ¤ ´ 53 µ¸
ĵ¦Ânµ´ªÂ¦ ¨³Îµµ¦Âo¤µ¦µ¤¢{r´É °¤µ¦°¥¸ÉÅoµµ¦ ¨° Á¡ºÉ°®µ»¸ÉÁ®¤µ³¤ °{´¥¦»Åoªnµ¦³´{´¥¸ÉÁ®¤µ³¤ ¨³ÎµÄ®onµ ¦Á¦¸Ê¥ª Á oµÄ¨o Ideal ¤µ¸É» (1.00) º° 9 ´ÉªÃ¤ ´°¸ 53 µ¸ (¦³´¨µ) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ ¤µ¦°¥¸ÉÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 105
µ¤µ¦°¥´Êµ¤¤µ¦¸ÉÅo³´ÁÁ®ÈÅoªnµª¦Äo¦³´ °{´¥¸É嵦 «¹¬µ º° ¦³¥³Áª¨µÄµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡ Ánµ´ 10 ´ÉªÃ¤ ¨³µ¨µ¦¨°¸É nµ¤µ¡ªnµ¦·¤µµ¦Äo®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o´ÊŤn¤¸¨®¦º°°··¡¨n°¨µ¦¨°°¥nµ¤¸ ´¥Îµ´µ·· (P>0.05) ´´Ê¹Îµµ¦Á¨º°¦³´µ¦Äo{´¥®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o¸É ¦³´Éεº° 3.00% x µ¦¨°¸É 3.2 «¹¬µ¦³´µ¦Äo °¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦
µ¨µ¦¨°Ä°¸É 3.1 εĮo¦µ¦³´ °{´¥®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o¨³ ¦³¥³Áª¨µÄµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡ º° 3.00% ¨³ 10 ´ÉªÃ¤ µ¤¨Îµ´´´Êĵ¦ ¨°¸Ê Á¦µ³Îµµ¦Îµ®{´¥®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o (B), Á¨µ· (D), ¦³¥³Áª¨µÄµ¦ ®¤´ (E) ¨³°»®£¼¤·Äµ¦®¤´ (F) Á}{´¥¸É Ã¥ªµÂµ¦¨°Â 22 Factorial design with 2 centerpoints ¨³Îµ®Ä®o ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ Á}{´¥¸É o°µ¦«¹¬µ åε®¼¦ ¨³¦³ªµ¦¨°Åªoĵ¦µ 4.3, 4.6 ¨³ 4.7 µ¤¨Îµ´
¨µ¦ª·Á¦µ³®r»£µ¡µoµµ¥£µ¡ Á¤¸ ¨³µoµ¦³µ´¤´¡¦o°¤´Êµ¦ ª·Á¦µ³®rµ·· °Ân¨³®nª¥µ¦¨°ÅoÂŪoĵ¦µ 5.8 ¨³ 5.9 ¡¦o°¤´ÊÂÁoµ æ °¨·£´r¸ÉÅoÄÂn¨³®nª¥µ¦¨°Á¸¥´ÁoµÃ¦¨·£´rÄ°»¤·¸É ¼o°¤µ®ª· ´µ´ª¨·£´rÄ£µ¡ 5.16 106
µ¦µ 5.8 ¨´¬³µ¦³µ´¤´ °Ã¥Á·¦r¤ oµªÃ¡µµ¦«¹¬µ¦³´ °µ¦Äo¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦
·É¸ ªµ¤Á¦¸¥Á¸¥ µ¦Â¥ ªµ¤¨ºÉ° ªµ¤ ¨·É¤ ¨·É oµªÃ¡ ¨·É¦ ¦Á¦¸Ê¥ª ¦®ªµ µ¦¥°¤¦´ ¨° ´ª °ÊεÁª¥r o®º Ã¥¦ª¤ 1 0.80r0.16 0.93r0.15 0.96r0.10 0.96r0.15 0.68r0.28a 0.81r0.28a 1.00r0.28a 0.75r0.12a 1.27r0.09c 0.79r0.06a 0.61r0.23a 2 0.77r0.18 1.00r0.12 1.01r0.09 1.00r0.15 1.00r0.41b 1.13r0.29ab 1.00r0.37a 0.73r0.37a 1.16r0.30bc 0.76r0.05a 0.60r0.29a 3 0.88r0.18 0.98r0.25 1.03r0.11 1.05r0.23 0.64r0.23a 0.89r0.30ab 1.28r0.29b 1.20r0.29c 0.97r0.22a 1.04r0.13b 0.72r0.17b 4 0.84r0.20 1.00r0.12 1.00r0.25 1.00r0.28 0.99r0.31b 1.23r0.31b 1.28r0.34b 1.22r0.26c 1.01r0.27a 1.00r0.23b 0.86r0.15c 5 0.80r0.22 0.96r0.15 1.08r0.09 0.98r0.17 0.93r0.28b 1.08r0.15ab 1.09r0.34ab 1.02r0.25b 1.03r0.23ab 1.01r0.14b 0.72r0.12b 6 0.88r0.17 1.00r0.24 1.00r0.26 1.10r0.26 0.99r0.30b 1.06r0.28ab 1.08r0.28ab 0.99r0.32b 0.99r0.27a 1.01r0.21b 0.72r0.25b
®¤µ¥Á®»: * nµ Mean ideal ratio score r nµÁ¸É¥Á¤µ¦µ µ¼o°·¤ 10 ´ª°´¬¦¸ÉÂnµ´ÄÂn¨³°¨´¤rªnµ¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ··¸É Pd0.05 107
µ¦µ 5.9 µ¦ª·Á¦µ³®r»£µ¡µoµÁ¤¸ ¨³µoµµ¥£µ¡ °Ã¥Á·¦r¤ oµªÃ¡µµ¦«¹¬µ¦³´µ¦Äo¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ ·É Total solid Total titratable pH Surcose Reducing Total L a b viscosity ¨° content acidity sugar sugar (% w/w) (% w/w as lactic acid) (pH meter) (% w/w) (% w/w as invert sugar) (% w/w) (centipoise) 1 16.85r0.49a 1.15r0.06a 4.07r0.03c 2.60r0.11a 3.50r0.37a 4.22r0.09a 84.68r0.69a -6.50r0.69bc 30.20r0.46 6,820r96.57a 2 20.42r0.14b 1.32r0.02a 3.93r0.03d 2.91r0.06b 3.38r0.08a 4.55r0.23b 86.75r0.06ab -6.73r0.03ab 30.70r0.05 15,580r140.70c 3 17.05r0.99a 1.70r0.01b 3.31r0.02b 3.88r0.10d 4.60r0.08c 8.36r0.26d 90.87r0.91c -6.48r0.08c 30.48r0.60 6,750r82.57a 4 20.08r2.62b 1.71r0.01b 3.22r0.14a 3.83r0.21d 4.74r0.11c 8.10r0.04d 90.80r0.02c -6.86r0.03a 30.46r0.26 16,000r167.57c 5 20.11r1.34b 1.32r0.02a 3.66r0.01c 3.34r0.04c 4.18r0.13b 6.60r0.10c 88.41r0.34bc -6.56r0.03bc 31.31r0.26 11,280r162.00b 6 20.08r0.92b 1.30r0.01a 3.70r0.01c 3.42r0.13c 4.20r0.11b 6.71r0.23c 89.81r0.07c -6.84r0.04b 29.95r0.11 11,950r113.14b
®¤µ¥Á®»: * nµÁ¨¸É¥ r nµÁ¸É¥Á¤µ¦µ µµ¦ª·Á¦µ³®r 3 Êε ´ª°´¬¦¸ÉÂnµ´ÄÂn¨³°¨´¤rªnµ¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ··¸É Pd0.05 108
¸ 1.5 ¦®ªµ ªµ¤Á¦¸¥Á¸¥ 1
¦Á¦¸Ê¥ª 0.5 µ¦Â¥´ª °ÊεÁª¥r
0
¨·É¦ ªµ¤¨ºÉ° Ideal trt.1 trt.2 ¨·É oµªÃ¡ ªµ¤ o®º trt.3 trt.4 trt.5 ¨·É¤ trt.6
£µ¡ 5.16 ÁoµÃ¦¨·£´r¸ÉÅoµµ¦«¹¬µ¦³´µ¦Äo¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦
¨µ¦ª·Á¦µ³®r»£µ¡µoµ¦³µ´¤´ (µ¦µ 5.8) ¡ªnµ¦³´µ¦Äo ¦·¤µ °¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ ¤¸¨°°n°µ¦¥°¤¦´ °¨·£´rĨ´¬³ nµÇ °¥nµ¤¸´¥Îµ´µ·· (Pd0.05) Ã¥µ¤µ¦ÂĦ¼ °¤µ¦°¥¸É¥´Å¤nÅo °¦®´ (Coded equation) Åo´¸Ê (1) ªµ¤ o®º = 0.96 + 0.167(Skimmed milk) R2 = 0.9350 (2) ¨·É¤ = 1.07 + 0.162(Skimmed milk) R2 = 0.9920 (3) ¨·É oµªÃ¡ = 1.085 + 0.140(Sucrose) R2 = 0.9970 (4) ¨·É¦ = 1.005 + 0.235(Sucrose) R2 = 0.9900 (5) ¦Á¦¸Ê¥ª = 1.010 – 0.112(Sucrose) R2 = 0.9430 (6) ¦®ªµ = 1.010 – 0.0175(Skimmed milk) + 0.123(Sucrose) – 0.0025 (Skimmed milk)(Sucrose) – 0.113(Sucrose)2 R2 = 0.9800 109
(7) µ¦¥°¤¦´Ã¥¦ª¤ = 0.720 + 0.0375(Skimmed milk)(Sucrose) – 0.0225(Skimmed milk) + 0.0325(Sucrose) – 0.0925(Sucrose)2 R2 = 0.9980 ¨µ¦ª·Á¦µ³®r»£µ¡µoµµ¥£µ¡ ¨³µÁ¤¸ (µ¦µ 5.9) ¡ªnµµ¦Äo{´¥´Ê °{´¥º° ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ ¤¸¨n°¦·¤µ °Â È´Ê®¤ ¦·¤µ ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo nµªµ¤Á}¦Á}nµ ¦·¤µÊ嵨¼Ã¦ ¦·¤µÊ嵨 ¦¸·ªr ¦·¤µÊ嵨´Ê®¤ ¨³ªµ¤®º°¥nµ¤¸´¥Îµ´µ··¸É P d 0.05 ¹Éµ¤µ¦ ÂĦ¼¤µ¦°¥¸É¥´Å¤nÅo°¦®´ (Coded equation) Åo´¸Ê
(1) °Â È´Ê®¤ (% w/w) = 20.095 + 1.65(Skimmed milk) – 0.135(Skimmed milk) (Sucrose) + 5.46875(Sucrose) – 1.495(Sucrose)2 R2 = 0.9980 2 (2) ¦´Ê®¤ (% w/w as lactic acid) = 1.295 + 0.235(Sucrose) R = 0.9770 (3) pH = 3.680 – 0.368(Sucrose) R2 = 0.9930 (4) Ê嵨¼Ã¦ (% w/w) = 3.38 + 0.55(Sucrose) R2 = 0.9870 2 (5) Ê嵨¦¸·ªr (% w/w as invert sugar) = 4.190 + 0.615(Sucrose) R = 0.9990 (6) Ê嵨´Ê®¤ (% w/w) = 6.655 + 1.922(Sucrose) R2 = 0.9980 (7) ªµ¤®º (cp) = 12207.5 + 5666.25(Skimmed milk) + 383.75(Sucrose) +341.25(Skimmed milk)(Sucrose) – 2378.75(Sucrose)2 R2 = 0.9999
µ´ÊεÁ°µ{´¥¸É¥´Å¤nÅo°¦®´ÅÂnµÄ¤µ¦ Coded equation ¨³ÂoÅ ¤µ¦ÅoÁ}¤µ¦¸É°¦®´Â¨oª (Decoded equation) µ¤µ¦ÎµÁ°µ¤µ¦¸ÉÅo¸Êŵ³Á ¨¸ÉÁ· ¹ÊÅo Ânµ¦µ³Á³o°Å¤nεÄnª¸ÉÁ·µnª¦³´¼Éε¸ÉÅoµµ¦¨° Ánµ´Ê
¨ °¤µ¦¸É°¦®´Â¨oªÂ´n°Å¸Ê (1) ªµ¤ o®º = 0.3755 + 0.0835(Skimmed milk) R2 = 0.9350 (2) ¨·É¤ = 0.503 + 0.081(Skimmed milk) R2 = 0.9920 (3) ¨·É oµªÃ¡ = 0.5065 + 0.07(Sucrose) R2 = 0.9970 (4) ¨·É¦ = 0.1825 + 0.1175(Sucrose) R2 = 0.9900 (5) ¦Á¦¸Ê¥ª = 1.402 – 0.056(Sucrose) R2 = 0.9430 110
(6) ¦®ªµ = -0.7741 – 0.004375(Skimmed milk) + 0.4614(Sucrose) – 0.000625(Skimmed milk)(Sucrose) – 0.02825(Sucrose)2 R2 = 0.9800 (7) µ¦¥°¤¦´Ã¥¦ª¤ = 0.4663 + 0.009375(Skimmed milk)(Sucrose) – 0.04938 (Skimmed milk) + 0.05938(Sucrose) – 0.005625(Sucrose)2 R2 = 0.9980 (8)  ȴʮ¤ (% w/w) = -5.6475 + 1.06125(Skimmed milk) – 0.03375(Skimmed milk) (Sucrose) + 5.46875(Sucrose) – 0.37375(Sucrose)2 R2 = 0.9980 (9) ¦´Ê®¤ (% w/w) = 0.4725 + 0.1175(Sucrose) R2 = 0.9770 (10) pH = 4.968 + 0.184(Sucrose) R2 = 0.9930 (11) Ê嵨¼Ã¦ (% w/w) = 1.455 + 0.275(Sucrose) R2 = 0.9870 (12) Ê嵨¦¸·ªr (% w/w) = 2.0375 + 0.3075(Sucrose) R2 = 0.9999 (13) Ê嵨´Ê®¤ (% w/w) = -0.072 + 0.961(Sucrose) R2 = 0.9980 (14) ªµ¤®º(cp) = -33926.875 + 2235.9375(Skimmed milk) + 7920.3125(Sucrose) + 85.3125(Skimmed milk)(Sucrose) – 594.6875(Sucrose)2 R2 = 0.9999
¤µ¦¸ÉÅoµµ¦°¦®´Â¨oª (Decoded equation) µ¤µ¦ÎµÅµ³Á¨¸ÉÁ· ¹Ê Ã¥Ânµ¦³´¦·¤µµ¦Äo ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ Änª¸É嵦«¹¬µ Á¡ºÉ°Ä®o Åonµ°° °Ân¨³¨´¬³Ä®o¤¸nµ Mean ideal ratio score Á oµÄ¨onµ¸É¸¸É»º°Á oµÄ¨o 1.00 ¤µ¸É» Ħ¸ °µ¦°° °¨´¬³¸ÉÅoµµ¦°µoµ¦³µ´¤´ 夵¦¸É°¦®´Â¨oª¤µÂnµ¦³´µ¦Äo °{´¥ ¤ µ¤´Á¥ ¨³Ê嵨 ¼Ã¦ Änª¸É嵦«¹¬µ º° 5.00 – 9.00% Á¡ºÉ°µ³Á¨¸ÉÁ· ¹Ê¹Éµ¤µ¦Â¨Åo ´¸Ê 111
(1) ªµ¤ o®º = 0.3755 + 0.0835(Skimmed milk) R2 = 0.9350
Ânµ¤ µ¤´Á¥´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 0.793 f(6) = 0.877 f(7) = 0.960 f(8) = 1.044 f(9) = 1.127
ĵ¦ÂnµÄ¤µ¦ °ªµ¤ o®º ÂÄ®oÁ®Èªnµµ¦Äo ¤ µ¤´Á¥ ¸É ¦³´n°Åµ¦³´¨µ (7 – 8%) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³ªµ¤ o®ºÁ oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤ ¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.3755+0.0835*x
0.789 0.827 0.865 0.903 0.941 0.979 1.017 1.055 1.093 1.131 above
£µ¡ 5.17 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³ªµ¤ o®º 112
(2) ¨·É¤ = 0.503 + 0.081(Skimmed milk) R2 = 0.9920
Ânµ¤ µ¤´Á¥´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 0.908 f(6) = 0.989 f(7) = 1.070 f(8) = 1.151 f(9) = 1.232
ĵ¦ÂnµÄ¤µ¦ °¨·É¤ ÂÄ®oÁ®Èªnµµ¦Äo ¤ µ¤´Á¥ ¸É¦³´ n°Åµ¦³´¨µ (6 – 7%) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³¨·É¤Á oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.503+0.081*x
0.904 0.941 0.978 1.015 1.052 1.088 1.125 1.162 1.199 1.236 above
£µ¡ 5.18 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¨·É¤ 113
(3) ¨·É oµªÃ¡ = 0.5065 + 0.07(Sucrose) R2 = 0.9970
ÂnµÊ嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 0.856 f(6) = 0.926 f(7) = 0.996 f(8) = 1.067 f(9) = 1.136
µ¦ÂnµÄ¤µ¦ °¨·É oµªÃ¡ ÂÄ®oÁ®Èªnµµ¦Äo Ê嵨¼Ã¦ ¸É¦³´n° ŵ¦³´¨µ (7.00%) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³¨·É oµªÃ¡Á oµ Ĩo 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.5065+0.07*y
0.853 0.885 0.917 0.949 0.981 1.012 1.044 1.076 1.108 1.14 above £µ¡ 5.19 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¨·É oµªÃ¡ 114
(4) ¨·É¦ = 0.1825 + 0.1175(Sucrose) R2 = 0.9900
ÂnµÊ嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 0.770 f(6) = 0.888 f(7) = 1.005 f(8) = 1.122 f(9) = 1.240
µµ¦ÂnµÄ¤µ¦ °¦ ÂÄ®oÁ®Èªnµµ¦Äo Ê嵨¼Ã¦ ¸É¦³´n°Å µ¦³´¨µ (7.00%) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³¨·É¦Á oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸É µ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.1825+0.1175*y
0.765 0.818 0.871 0.925 0.978 1.032 1.085 1.139 1.192 1.245 above
£µ¡ 5.20 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¨·É¦ 115
(5) ¦Á¦¸Ê¥ª = 1.402 – 0.056(Sucrose) R2 = 0.9430
ÂnµÊ嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 1.122 f(6) = 1.066 f(7) = 1.010 f(8) = 0.954 f(9) = 0.898
µµ¦ÂnµÄ¤µ¦ °¦Á¦¸Ê¥ª ÂÄ®oÁ®Èªnµµ¦Äo Ê嵨¼Ã¦ ¸É¦³´n° ŵ¦³´¨µ (7.00%) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³¦Á¦¸Ê¥ªÁ oµÄ¨o 1 ¤µ ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦ °° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=1.402-0.056*y
0.895 0.921 0.946 0.972 0.997 1.023 1.048 1.074 1.099 1.125 above
£µ¡ 5.21 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¦Á¦¸Ê¥ª 116
(6) ¦®ªµ = -0.7741 – 0.004375(Skimmed milk) + 0.4614(Sucrose) – 0.000625(Skimmed milk)(Sucrose) – 0.02825(Sucrose)2 R2 = 0.9800
Ânµ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê
f(5,5) = 0.789 f(5,6) = 0.937 f(5,7) = 1.028 f(5,8) = 1.062 f(5,9) = 1.040 f(6,5) = 0.782 f(6,6) = 0.929 f(6,7) = 1.019 f(6,8) = 1.053 f(6,9) = 1.030 f(7,5) = 0.774 f(7,6) = 0.920 f(7,7) = 1.010 f(7,8) = 1.040 f(7,9) = 1.020 f(8,5) = 0.767 f(8,6) = 0.912 f(8,7) = 1.001 f(8,8) = 1.034 f(8,9) = 1.010 f(9,5) = 0.759 f(9,6) = 0.904 f(9,7) = 0.993 f(9,8) = 1.025 f(9,9) = 1.000
ĵ¦ÂnµÄ¤µ¦ °¦®ªµ ÂÄ®oÁ®Èªnµµ¦Äo ¤ µ¤´Á¥ ¨³Ê嵨 ¼Ã¦ ¸É¦³´n°Åµ¦³´¨µÂ¨³¦³´¼ (7 – 9%) ³ÎµÄ®onµ Mean ideal ratio score °¨´¬³¦®ªµÁ oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŠ¦oµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 117
3D Surface Plot (NEW.STA 10v*10c) z=-0.7741-0.004375*x+0.4614*y-0.000625*x*y-0.02825*y*y
0.699 0.736 0.772 0.809 0.846 0.883 0.92 0.957 0.994 1.03 above
£µ¡ 5.22 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¦®ªµ
(7) µ¦¥°¤¦´Ã¥¦ª¤ = 0.4663 + 0.009375(Skimmed milk)(Sucrose) – 0.04938 (Skimmed milk) + 0.05938(Sucrose) – 0.005625(Sucrose)2 R2 = 0.9980
Ânµ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5,5) = 0.610 f(5,6) = 0.654 f(5,7) = 0.688 f(5,8) = 0.709 f(5,9) = 0.720 f(6,5) = 0.608 f(6,6) = 0.661 f(6,7) = 0.704 f(6,8) = 0.735 f(6,9) = 0.755 f(7,5) = 0.605 f(7,6) = 0.668 f(7,7) = 0.720 f(7,8) = 0.761 118
f(7,9) = 0.790 f(8,5) = 0.603 f(8,6) = 0.736 f(8,7) = 0.786 f(8,8) = 0.825 f(8,9) = 0.842 f(9,5) = 0.600 f(9,6) = 0.682 f(9,7) = 0.753 f(9,8) = 0.812 f(9,9) = 0.860
µ¦ÂnµÄ¤µ¦ °µ¦¥°¤¦´Ã¥¦ª¤ ÂÄ®oÁ®Èªnµµ¦Äo ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ ¸É¦³´n°Åµ¦³´¼ (8 – 9%) ³ÎµÄ®onµ Mean ideal ratio score ° ¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ Á oµÄ¨o 1 ¤µ¸É»¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=0.4663+0.009375*x*y-0.04938*x+0.05938*y-0.00562*y*y
0.583 0.615 0.647 0.678 0.71 0.742 0.773 0.805 0.837 0.868 above
£µ¡ 5.23 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ 119
(8)  ȴʮ¤ (% w/w) = -5.6475 + 1.06125(Skimmed milk) – 0.03375(Skimmed milk) (Sucrose) + 5.46875(Sucrose) – 0.37375(Sucrose)2 R2 = 0.9980
Ânµ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5,5) = 16.815 f(5,6) = 18.004 f(5,7) = 18.445 f(5,8) = 18.139 f(5,9) = 17.085 f(6,5) = 17.708 f(6,6) = 18.863 f(6,7) = 19.270 f(6,8) = 18.930 f(6,9) = 17.842 f(7,5) = 18.600 f(7,6) = 19.720 f(7,7) = 20.095 f(7,8) = 19.721 f(7,9) = 18.600 f(8,5) = 19.493 f(8,6) = 20.580 f(8,7) = 20.920 f(8,8) = 20.512 f(8,9) = 19.357 f(9,5) = 20.385 f(9,6) = 21.439 f(9,7) = 21.745 f(9,8) = 21.304 f(9,9) = 20.115
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.8 ¨³µ¦µ 5.9) εĮo¦µªnµnµ¦·¤µ ° °Â È ´Ê®¤¸É¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °ªµ¤ Á¦¸¥Á¸¥ µ¦Â¥´ª °Êε ªµ¤¨ºÉ° ¨³ªµ¤ o®º¸ÉÅoµµ¦¦³Á¤·»£µ¡µoµ ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») µµ¦µ 5.8 ¨³ 5.9 εĮo¦µªnµ¦·¤µ ° °Â È ´Ê®¤¸É¼o°·¤Ä®oµ¦¥°¤¦´´Ê³o°¤µªnµ 20% ¹ÊÅ ¡ªnµ¦³´µ¦Äo¸Énµ³Á®¤µ³¤¸ÉεĮo ¦·¤µ °Â È´Ê®¤ ¤¸nµÄ¨oÁ¸¥nµ¸É¸¸É »º°¦·¤µ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ ¸É 7 – 9% ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦ °¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 120
3D Surface Plot (NEW.STA 10v*10c) z=-5.6475+1.06125*x-0.03375*x*y+5.46875*y-0.37375*y*y
16.092 16.699 17.305 17.912 18.518 19.125 19.731 20.338 20.944 21.551 above £µ¡ 5.24 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¦·¤µ °Â È´Ê®¤
(9) ¦´Ê®¤ (% w/w) = 0.4725 + 0.1175(Sucrose) R2 = 0.9770
ÂnµÊ嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 1.060 f(6) = 1.178 f(7) = 1.295 f(8) = 1.412 f(9) = 1.530
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.8 ¨³µ¦µ 5.9) εĮo¦µªnµnµ¦·¤µ¦´Ê®¤¸É ¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦Á¦¸Ê¥ª ¸ÉÅo µµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¡ªnµ¦³´µ¦Äo¸Énµ³Á®¤µ³¤¸É³ÎµÄ®o ¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo ¤¸ nµÄ¨oÁ¸¥nµ¸É¸¸É»º°¦·¤µ Êεµ¨Ã¦¼ ¸É¦³´¨µ ¨³¼ (7 – 9%) ¹É³Á®ÈÅo´ ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 121
3D Surface Plot (NEW.STA 10v*10c) z=0.4725+0.1175*y
1.055 1.108 1.161 1.215 1.268 1.322 1.375 1.429 1.482 1.535 above £µ¡ 5.25 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo
(10) pH = 4.968 + 0.184(Sucrose) R2 = 0.9930
ÂnµÊ嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 4.048 f(6) = 3.864 f(7) = 3.680 f(8) = 3.496 f(9) = 3.312
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.8 ¨³µ¦µ 5.9) εĮo¦µªnµnµªµ¤Á}¦Á}nµ ¸É¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦Á¦¸Ê¥ª ¸É Åoµµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¡ªnµ¦³´µ¦Äo¸ÉÁ®¤µ³¤¸Éµ¤µ¦ÎµÄ®o ªµ¤Á}¦Á}nµÅo¤¸nµÄ¨oÁ¸¥nµ¸É¸ ¸É»º°¦·¤µ Êεµ¨Ã¦¼ ¸É¦³´¨µ¹¦³´¼ (7 - 9%) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤ µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 122
3D Surface Plot (NEW.STA 10v*10c) z=4.968-0.184*y
3.304 3.387 3.471 3.555 3.638 3.722 3.805 3.889 3.973 4.056 above £µ¡ 5.26 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµªµ¤Á}¦Á}nµ
(11) Ê嵨¼Ã¦ (% w/w) = 1.455 + 0.275(Sucrose) R2 = 0.9870
ÂnµÊ嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 2.830 f(6) = 3.105 f(7) = 3.380 f(8) = 3.655 f(9) = 3.930
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.8 ¨³µ¦µ 5.9) εĮo¦µªnµ¦·¤µÊ嵨¼Ã¦¸É ¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦®ªµ ¸ÉÅo µµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¡ªnµ¦³´µ¦Äo¸Énµ³Á®¤µ³¤¸É³ÎµÄ®o¦·¤µÊ嵨¼Ã¦Åo¤¸nµÄ¨oÁ¸¥nµ¸É¸ ¸É»º°¦·¤µÊ嵨¼Ã¦ ¸É¦³´¨µ¹¦³´¼ (7 – 9%) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤ µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 123
3D Surface Plot (NEW.STA 10v*10c) z=1.455+0.275*y
2.818 2.943 3.067 3.192 3.317 3.442 3.567 3.692 3.817 3.942 above £µ¡ 5.27 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¦·¤µÊ嵨¼Ã¦
2 (12) Ê嵨¦¸·ªr (% w/w as invert sucrose) = 2.0375 + 0.3075(Sucrose) R = 0.9999
ÂnµÊ嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 3.575 f(6) = 3.883 f(7) = 4.190 f(8) = 4.498 f(9) = 4.805
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.8 ¨³µ¦µ 5.9) εĮo¦µªnµnµÊ嵨¦¸·ªr¸É¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦®ªµ ¸ÉÅoµ µ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¡ªnµ¦³´µ¦Äo¸ÉÁ®¤µ³¤¸Éµ¤µ¦ÎµÄ®o¦·¤µÊ嵨¦¸·ªrÅo¤¸nµÄ¨oÁ¸¥nµ¸É¸¸É »º°¦·¤µ Ê嵨¼Ã¦ ¸É¦³´¨µ¹¦³´¼ (7 – 9%) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤ µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 124
3D Surface Plot (NEW.STA 10v*10c) z=2.0375+0.3075*y
3.561 3.701 3.841 3.98 4.12 4.26 4.4 4.539 4.679 4.819 above £µ¡ 5.28 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¦·¤µÊ嵨¦¸·ªr
(13) Ê嵨´Ê®¤ (% w/w) = -0.072 + 0.961(Sucrose) R2 = 0.9980
Ê嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê f(5) = 4.733 f(6) = 5.694 f(7) = 6.655 f(8) = 7.616 f(9) = 8.577
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.8 ¨³µ¦µ 5.9) εĮo¦µªnµ¦·¤µÊ嵨´Ê®¤¸É ¸¸É»Â¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °¦®ªµ ¸ÉÅo µµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¡ªnµ¦³´µ¦Äo¸ÉÁ®¤µ³¤¸Éµ¤µ¦ÎµÄ®o¦·¤µÊ嵨´Ê®¤Åo¤¸nµÄ¨oÁ¸¥nµ¸É¸ ¸É»º°¦·¤µ Ê嵨¼Ã¦ ¸É¦³´¨µ¹¦³´¼ (7 – 9%) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤ µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) 125
3D Surface Plot (NEW.STA 10v*10c) z=-0.072+0.961*y
4.689 5.126 5.563 6 6.437 6.873 7.31 7.747 8.184 8.621 above £µ¡ 5.29 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¦·¤µÊ嵨´Ê®¤
(14) ªµ¤®º(cp) = -33,926.875 + 2,235.9375(Skimmed milk) + 7,920.3125 s(Sucrose) + 85.3125(Skimmed milk)(Sucrose) – 594.6875(Sucrose)2 R2 = 0.9999
Ânµ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦´ÊÂn 5.00 - 9.00% Åo¨´¸Ê
f(5,5) = 4,120 f(5,6) = 5,925 f(5,7) = 6,541 f(5,8) = 5,968 f(5,9) = 4,205 f(6,5) = 6,783 f(6,6) = 8,673 f(6,7) = 9,374 f(6,8) = 8,886 f(6,9) = 7,204 f(7,5) = 9,445 f(7,6) = 11,420 f(7,7) = 12,210 f(7,8) = 11,800 126
f(7,9) = 10,210 f(8,5) = 12,110 f(8,6) = 14,170 f(8,7) = 14,170 f(8,8) = 14,720 f(8,9) = 13,220 f(9,5) = 14,770 f(9,6) = 16,920 f(9,7) = 17,870 f(9,8) = 17,640 f(9,9) = 16,220
¨µ¦¨°¸Énµ¤µ (µ¦µ 5.8 ¨³µ¦µ 5.9) εĮo¦µªnµnµªµ¤®º¸É¸¸É» ¨³Á}¸É¥°¤¦´ °¼o°·¤´Ê¸É¤¸ªµ¤´¤¡´rĨo·´¨´¬³ °ªµ¤ o®º¸ÉÅo µµ¦¦³Á¤·»£µ¡µoµ¦³µ´¤´ (Á oµÄ¨o 1 ¤µ¸É») ¡ªnµ¦³´µ¦Äo¸ÉÁ®¤µ³¤¸Éµ¤µ¦³ÎµÄ®o ªµ¤®ºÅo¤¸nµÄ¨oÁ¸¥nµ¸É¸¸É»º° ¦·¤µ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ ¸É¦³´¨µ¹¦³´¼ (7 – 9%) ¹É³Á®ÈÅo´ ÁÁ¤ºÉ°Îµ¤µ¦°¥¸ÉÅo¸Ê εŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°°(Response surface)
3D Surface Plot (NEW.STA 10v*10c) z=-33926.875+2235.9375*x+7920.3125*y+85.3125*x*y-594.6875*y*y
2991.175 4627.974 6264.77 7901.57 9538.37 11175.16 12811.96 14448.76 16085.56 17722.35 above £µ¡ 5.30 £µ¡¡ºÊ¸Éµ¦°°  3D Surface plot ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °ªµ¤®º 127
¨µ¦¨°Á¤ºÉ°Ânµ °¦³´µ¦Äo{´¥º° ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ Ĥµ¦°¥nµÇ ¸ÉÅoµµ¦ª·Á¦µ³®r¨µoµ·· å嵦Á¨º°¤µ¦¸É¤¸nµ R2 Á oµ Ĩo 1.00 ¤µ¸É» ¨¸ÉÅoµµ¦¨°Ä°¸É 3.2 ³Á®ÈÅoªnµµ¦°´Êµoµµ¥ £µ¡ µÁ¤¸ ¨³µoµ¦³µ´¤´¡ªnµ¤¸¤µ¦°¥ ¹ 14 ¤µ¦¸É¤¸ªµ¤´¤¡´r ´Êªµ¤´¤¡´rÁ·Áo¦ (Linear) ¨³ÂÁ·ÁoÃo (Quadratic) Á¤ºÉ°Ânµnª °¦³´{´¥¸É嵦«¹¬µ¨Ä¤µ¦°¥¸ÉÅo¨oª¡ªnµ¦³´ µ¦Äo °{´¥ ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ ´ÊnªÄ®³Än o{´¥Ä¦³´¨µ º° 7.00% ¨³¤¸µ¤µ¦¸ÉÄ®o¨ªnµª¦Äo¦³´{´¥¸É¦³´¼´´Ê¹o°Îµµ¦Á¨º°¤µ¦ °¥ ®¦º°»¨´¬³ÄÇ Á}´ªÂ °µ¦¨°¸ÉÄ®o¨Ä¨oÁ¸¥´nµ¦·¤µ¸É»Ã¥ ¡·µ¦µ¼ªµ¤´¤¡´r¦³®ªnµ»¨´¬³nµÇ ĵ¦°µoµ¦³µ´¤´Á}®¨´ ªnµ»¨´¬³Äoµ¤¸ªµ¤´¤¡´rĨo·´»¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ ¸É¤¸n°¨·£´r °¥nµ¤¸´¥Îµ´µ·· (Pd 0.05) Ã¥µ¦Îµ»¨´¬³µoµ¦³µ´¤´º°¸ ªµ¤ Á¦¸¥Á¸¥ µ¦Â¥´ª °ÊεÁª¥r ªµ¤¨ºÉ° ªµ¤ o®º¨·É¤ ¨·É oµªÃ¡ ¨·É¦ ¦Á¦¸Ê¥ª ¨³¦®ªµ ¤µÎµµ¦ª·Á¦µ³®r¦¸Á¦´É´»¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ ¹ÉÅo¨µ¦°´¸Ê
µ¦¥°¤¦´Ã¥¦ª¤ = 0.09 + 1.91(ªµ¤ o®º) + 0.1(¨·É oµªÃ¡) + 0.351(¨·ÉÁ¦¸Ê¥ª) R2 = 0.9500
ĵ¦°ªµ¤´¤¡´r´¨nµª¡ªnµ»¨´¬³¸É¤¸ªµ¤´¤¡´r¨³µ¤µ¦ °·µ¥ªµ¤Á}¨·£´r ÄÂn °»¨´¬³µoµ¦³µ´¤´Åo¸Â¨³¦°¨»¤¸É» ´»¨´¬³µ¦¥°¤¦´Ã¥¦ª¤ ÅoÂn ªµ¤ o®º¨·É oµªÃ¡ ¨³¨·É¦ µ´Ê 夵¦°¥¸ÉÅoµ´Ê 3 »¨´¬³ ´¨nµª¸ÉÅo¤µÎµµ¦®µ»¸ÉÁ®¤µ³¤ (Optimization) °¦³´µ¦Äo{´¥ £µ¥Änª °¦³´{´¥¸ÉÄoĵ¦«¹¬µ (5 – 9%) Ã¥µ¦Âo¤µ¦ ¢{r´ÉÄÁ°¤ °´ªÂ¦ ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ Åo´¸Ê : 128
(1) ªµ¤ o®º = 0.3755 + 0.0835(Skimmed milk) R2 = 0.9350 - Á¤ºÉ°nµªµ¤ o®º¸É¸¸É»Ä°»¤·¤¸nµÁnµ´ 1.00 ´´Ê³Åoªnµ
ªµ¤ o®º = 1 = 0.3755 + 0.0835(Skimmed milk) Á¡¦µ³³´Ê Skimmed milk = 0.6245/0.0835 =7.48 ®¦º° Skimmed milk = 7.48% µ¦Ânµ´ªÂ¦ ¨³Á¤ºÉ°Âo¤µ¦µ¤¢{r´É °¤µ¦°¥¸ÉÅoµµ¦¨° Á¡ºÉ°®µ»¸ÉÁ®¤µ³¤ °{´¥¦»Åoªnµ¦³´{´¥¸ÉÁ®¤µ³¤Â¨³ÎµÄ®onµ ªµ¤ o®º Á oµÄ¨o Ideal ¤µ¸É» (1.00) º° 7.50% (¦³´¨µ) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸É ÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
(2) ¨·É oµªÃ¡ = 0.5065 + 0.07(Sucrose) R2 = 0.9970 - Á¤ºÉ°nµ¨·É oµªÃ¡ ¸É¸¸É»Ä°»¤·¤¸nµÁnµ´ 1.00 ´´Ê³Åoªnµ
¨·É oµªÃ¡ = 1 = 0.5065 + 0.07(Sucrose) Á¡¦µ³³´Ê Sucrose = 0.4935/0.07 =7.05 ®¦º° Sucrose = 7.05% µ¦Ânµ´ªÂ¦ ¨³Âo¤µ¦µ¤¢{r´É °¤µ¦°¥¸ÉÅoµµ¦¨° Á¡ºÉ°®µ»¸ÉÁ®¤µ³¤ °{´¥¦»Åoªnµ¦³´{´¥¸ÉÁ®¤µ³¤Â¨³ÎµÄ®onµ¨·É oµªÃ¡ Á oµÄ¨o Ideal ¤µ¸É» (1.00) º° 7.00% (¦³´¨µ) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥ ÉŸ oεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface)
(3) ¨·ÉÁ¦¸Ê¥ª = 0.1825 + 0.1175(Sucrose) - Á¤ºÉ°nµ¨·ÉÁ¦¸Ê¥ª ¸É¸¸É»Ä°»¤·¤¸nµÁnµ´ 1.00 ´´Ê³Åoªnµ ¨·ÉÁ¦¸Ê¥ª = 1 = 0.1825 + 0.1175(Sucrose) Á¡¦µ³³´Ê Sucrose = 0.8175/0.1175 =6.96 ®¦º° Sucrose = 6.96% 129
µ¦Ânµ´ªÂ¦ ¨³Îµµ¦Âo¤µ¦µ¤¢{r´É °¤µ¦°¥¸ÉÅoµµ¦ ¨° Á¡ºÉ°®µ»¸ÉÁ®¤µ³¤ °{´¥¦»Åoªnµ¦³´{´¥¸ÉÁ®¤µ³¤Â¨³ÎµÄ®onµ¨·ÉÁ¦¸Ê¥ª Á oµÄ¨o Ideal ¤µ¸É» (1.00) º° 7.00% (¦³´¨µ) ¹É³Á®ÈÅo´ÁÁ¤ºÉ°Îµ¤µ¦°¥¸É ÅoεŦoµ¦µ¢µ¤¤··Ä¦¼ °¡ºÊ¸Éµ¦°° (Response surface) ´´Ê¹¦»Åoªnµª¦Äo¦³´ °{´¥¸É嵦«¹¬µ º°¦·¤µ¤ µ¤´Á¥ ¨³Ê嵨¼Ã¦ Ánµ´ 7.50% ¨³ 7.00% µ¤¨Îµ´ ĵ¦Îµ®¼¦Â¨³¦³ªµ¦ ¨·¸ÉÁ®¤µ³¤ ĵ¦¨°°n°Å µ¦¨°¸ÊÁ}µ¦«¹¬µ¦³´µ¦Äonª¤¸ÉÁ} {´¥®¨´Äµ¦¨· (°¸É 3) εĮoÁ¦µµ¤µ¦Îµ®¼¦ ¨³¦³ªµ¦¨·Ã¥Á·¦r ¤ oµªÃ¡¸ÉÁ®¤µ³¤Åo´¸Ê
¼¦µ¦¨·¸ÉÁ®¤µ³¤ 1) ¤ oµªÃ¡ 82.40 % 2) ¤ µ¤´Á¥ 7.50 % 3) Ê嵨¼Ã¦ 7.00 % 4) Á¨µ· 0.10 % 5) ®´ªÁºÊ°»¨·¦¸¥rÁ¦·É¤o 3.00 % ¦ª¤ 100.00 %
- °»®£¼¤·Äµ¦®¤´Ã¥Á·¦r¤ oµªÃ¡¸É 37 °«µÁ¨Á¸¥ Á}Áª¨µ 10 ´ÉªÃ¤ 130
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30 0 ´µ®r 1 ´µ®r 2 ´µ®r 3 ´µ®r 4 ´µ®r
£µ¡ 5.43 µ¦Á¨¸É¥Â¨ °nµ¸ b °¨·£´rÃ¥Á·¦r¤ oµªÃ¡ ¦³®ªnµµ¦ÁÈ ¦´¬µ¸É 10 °«µÁ¨Á¸¥ Á}Áª¨µ 4 ´µ®r 146 x µ¦Á¨¸É¥Â¨»£µ¡µ¦³µ´¤´ °¨·£´rÃ¥Á·¦r¤ oµªÃ¡ µ¦µ 5.17 µ¦Á¦¸¥Á¸¥nµ Mean ideal ratio scores °¨´¬³µ¦³µ´¤´nµÇ ° ¨·£´rÃ¥Á·¦r¤ oµªÃ¡¸ÉÁȦ´¬µ¸É°»®£¼¤· 10 °«µÁ¨Á¸¥ Á}Áª¨µ 4 ´µ®r ¨´¬³ Á¦·É¤o 1 ´µ®r 2 ´µ®r 3 ´µ®r 4 ´µ®r ¸ 1.00r0.12 1.00r0.08 1.01r0.09 1.01r0.23 1.05r0.05 ªµ¤Á¦¸¥Á¸¥ 0.99r0.15 1.00r0.11 1.00r0.09 0.98r0.22 1.00r0.14 µ¦Â¥´ª °ÊεÁª¥r 0.97r0.20a 0.98r0.14a 1.02r0.14a 1.15r0.15b 1.28r0.16c ªµ¤¨ºÉ° 1.01r0.10a 1.00r0.11a 0.98r0.25a 0.87r0.12b 0.84r0.28b ªµ¤ o®º 1.01r0.08a 1.01r0.23a 1.02r0.08a 0.94r0.06b 0.76r0.11c ¨·É¤ 0.97r0.11a 0.98r0.14a 0.96r0.02a 0.82r0.18b 0.80r0.08b ¨·É oµªÃ¡ 0.98r0.14a 0.99r0.08a 1.02r0.10a 1.12r0.25b 1.05r0.07a ¨·É¦ 1.00r0.05a 1.01r0.14a 1.06r0.16b 1.17r0.09c 1.23r0.06d ¦Á¦¸Ê¥ª 0.97r0.09a 1.00r0.23a 1.00r0.08a 1.20r0.10b 1.28r0.13b ¦®ªµ 1.00r0.18a 1.01r0.18a 1.00r0.11a 0.87r0.13b 0.80r0.26c µ¦¥°¤¦´Ã¥¦ª¤ 0.90r0.28a 0.92r0.13a 0.91r0.10a 0.77r0.26b 0.66r0.13c ®¤µ¥Á®» : * ®¤µ¥¹ Mean ideal ratio scorernµÁ¸É¥Á¤µ¦µ ´ª°´¬¦¸ÉÂnµ´ÄÂn¨³Âª ªnµ¤¸ªµ¤Ânµ°¥nµ¤¸´¥Îµ´µ··¸É Pd0.05
µ¦µ 5.17 ¨³£µ¡ 5.44 ÂÄ®oÁ®Èµ¦Á¨¸É¥Â¨¨´¬³µ¦³µ´¤´ ° ¨·£´rÃ¥Á·¦r¤ oµªÃ¡ ¡ªnµ¤¸ªµ¤Ânµ°¥nµ¤¸´¥Îµ´µ· (Pd0.05) Á¤ºÉ°ÁÈ ¦´¬µ¸É°»®£¼¤· 10 °«µÁ¨Á¸¥ Á}Áª¨µ 4 ´µ®r Ã¥¨´¬³nªÄ®n³¤¸µ¦Á¨¸É¥ ¨°¥nµ¤¸´¥Îµ´Á¤ºÉ°ÁȦ´¬µµªnµ 2 ´µ®r εĮoµ¦¥°¤¦´Ä´ª¨·£´rµ¼o °·¤¨¨°¥nµ´Á n¨Ä®oµ¦¥°¤¦´Ã¥¦ª¤ °¨·£´r¨¨°¥nµ¤¸´¥Îµ´µ ·· (Pd0.05) nµ ° ªµ¤¨ºÉ° ªµ¤ o®º¨·É¤ ¦®ªµ ¨³µ¦¥°¤¦´Ã¥¦ª¤ ¤¸µ¦Á¨¸É¥Â¨°¥nµ¤¸´¥Îµ´µ·· (Pd0.05) ¨³¤¸ÂªÃo¤¨¨Á¤ºÉ°ÁȦ´¬µµÁ· 2 ´µ®r ¹ÉĦ³®ªnµµ¦ÁȦ´¬µ´Ê¨·£´r¥´¤¸·¦¦¤µÁºÊ°»¨·¦¸¥rÁ¦·É¤o°¥¼n εĮo ÁºÊ°¤¸¨n°µ¦Á¨¸É¥Â¨ °µ¦°µ®µ¦ (Ê嵨) Ĩ·£´r n¨Ä®o nµªµ¤®ªµ ¨·É¤ ¨³µ¦¥°¤¦´Ã¥¦ª¤¨¨ ¨³°µÁºÉ°¤µµµ¦¥n°¥¨µ¥Ã¦¸ (Proteolysis) ¸ÉÁ·µÁ°Å¤r¥n°¥Ã¦¸¸ÉÁºÊ°Á¦·É¤o¦oµ ¹ÊĦ³®ªnµ¦³ªµ¦®¤´n¨ÎµÄ®onµ ªµ¤®º¨¨ (£ª´, 2544) 147
¸ 1.4 µ¦¥°¤¦´Ã¥¦ª¤ 1.2 ªµ¤Á¦¸¥Á¸¥ 1 0.8 ¦®ªµ 0.6 µ¦Â¥´ª °ÊεÁª¥r 0.4 0.2 0 ¦Á¦¸Ê¥ª ªµ¤¨ºÉ°
¨·É¦ ªµ¤ o®º
¨·É oµªÃ¡ ¨·É¤
Ideal 0 ´µ®r 1 ´µ®r 2 ´µ®r 3 ´µ®r 4 ´µ®r
£µ¡ 5.44 ÁoµÃ¦¨·£´rÃ¥Á·¦r¤ oµªÃ¡¸ÉÁȦ´¬µ¸É 10 °«µÁ¨Á¸¥ Á}Áª¨µ 4 ´µ®r
¨´¬³ µ¦Â¥´ª °ÊεÁª¥r ¨·É¦ ¨³¦Á¦¸Ê¥ª ¤¸µ¦Á¨¸É¥Â¨°¥nµ¤¸ ´¥Îµ´µ·· (Pd0.05) ¨³¤¸ÂªÃo¤Á¡·É¤ ¹ÊÁºÉ°µ¦³®ªnµµ¦ÁȦ´¬µ´ÊÁºÊ°»¨·¦¸¥r Á¦·É¤o¥´¤¸·¦¦¤°¥¼n ¹É·¦¦¤³ÎµÁ·Å°¥nµµÇo ¦³Áª¨µµ¡°´É (¤µªµn 2 µ®´ )r ¹ÎµÄ®oµ¦¥°¤¦´Ä¨·£´r¨¨ ¨·É¦ ¨³¦Á¦¸Ê¥ª¸É¤¸ÂªÃo¤Á¡·É¤ ¹ÊÁºÉ°µ¤¸µ¦ ¦oµ¦£µ¥®¨´µ¦®¤´¦·¤µ¦Á¡·É¤ ¹Ênµªµ¤Á}¦Á}nµ¨¨ °µ¦oµ ¦Â¨oªÁºÊ°Á¦·É¤o¥´¦oµ¨·É¦Á¡·É¤ ¹ÊεĮoo°¼ ·¤¦´¦¼o¨·É¦Á¡·É¤ ¹Êoª¥ Á¤ºÉ°¡·µ¦µµ¦Á¨¸É¥Â¨µÁ¤¸ µ¥£µ¡ ¨³µ¦³µ´¤´Â¨oª¡ªnµ¦³¥³ Áª¨µ¸ÉÁ®¤µ³¤¸ÉÄoĵ¦ÁȦ´¬µ¨·£´rÃ¥Á·¦r¤ oµªÃ¡ º° 2 ´µ®r Á¡¦µ³»£µ¡ nªÄ®n °¨·£´rŤn¤¸µ¦Á¨¸É¥Â¨°¥nµ¤¸´¥Îµ´µ·· (P>0.05) 148
°¸É 5. «¹¬µµ¦¦³¥»rÄo¨·£´rÃ¥Á·¦r¤ oµªÃ¡¸É嵦¡´µ ¹Ê ĵ¦¡´µ ¨·£´r¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤¤¤»Å¡¦ ¡¦o°¤´Ê嵦«¹¬µµ¦¥°¤¦´ ° ¼o¦·Ã£¸É¤¸n°¨·£´r
µ¦¨°Ä°¸É 4 εĮoÅo¼¦ ¨³¦³ªµ¦¨·Ã¥Á·¦r¤ oµªÃ¡¸ÉÁ®¤µ³¤ Á}¨·£´r¸ÉÅo¦´µ¦¥°¤¦´µ¼o°·¤Â¨³Îµµ¦¦³Á¤·»£µ¡µoµnµÇ º° µoµµ¥£µ¡ µoµÁ¤¸ µoµ»¨¸ªª·¥µ ¨³µoµ¦³µ´¤´¹Éµ¨µ¦ ¨° ¨³µ¦°»£µ¡oµnµÇ ´Ê¡ªnµ¨·£´r¸ÉÅo¤¸»¤´· ¨³»£µ¡¸É Á®¤µ³¤µ¤µ¦³ÎµÅ¦³¥»rĵ¦¡´µ¨·£´rÁ}¨·£´r¤Á¦¸Ê¥ªµ¤ oµªÃ¡ ¤¤»Å¡¦Åo
¨µ¦ª·Á¦µ³®r»£µ¡µoµµ¥£µ¡ ¨³µÁ¤¸ µ¨µ¦¨°Â Mixture Design; 8 ·É¨° ´Ê¡ªnµµ¦Á¨¸É¥Â¨¦³´µ¦Äo °nª¤ ¤»Å¡¦´Ê 3 ·´Ê ¤¸¨¦³n°nµ¸ L nµ¸ a nµ¸ b ¨³ªµ¤®º °¨·£´r¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤µ¤ oµªÃ¡¤¤»Å¡¦°¥nµ¤¸´¥Îµ´µ·· (Pd0.05) nªnµ´Á°ºÉÇ ´ÊŤn¤¸ªµ¤Â nµ°¥nµ¤¸´¥Îµ´Á¤ºÉ°Îµµ¦Á¨¸É¥Â¨´nª °nª¤Êε¤»Å¡¦¤Ä¼¦µ¦ ¨° °¨·£´r¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤µ¤ oµªÃ¡¤¤»Å¡¦´Âĵ¦µ 5.18 149
µ¦µ 5.18 ¨µ¦ª·Á¦µ³®rµµ¥£µ¡ ¨³µÁ¤¸ °¨·£´r¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤µ ¤ oµªÃ¡¤¤»Å¡¦ ¸ÉÅoµÂµ¦¨°Â Mixture design
·É ¦·¤µ¦ ªµ¤Á}¦- Ê嵨 Ê嵨 Ê嵨 ¨° ´Ê®¤ nµ ¼Ã¦ ¦¸·ªr ´Ê®¤ ¸É (% w/w as lactic acid) (pH-meter) (% w/w) (% w/w) (% w/w) 1 0.65r0.05 4.25 r0.01 13.50r0.50 6.78r0.12 20.90r0.45 2 0.66 r0.04 4.23r0.01 13.25r0.36 6.98r0.17 20.85r0.25 3 0.64r0.01 4.24r0.02 13.65r0.28 6.78r0.22 21.06r0.36 4 0.65r0.02 4.21r0.02 13.58r0.15 7.01r0.21 20.88r0.65 5 0.64r0.09 4.70r0.03 13.89r0.20 6.79r0.50 20.89r0.55 6 0.67r0.07 4.26r0.01 13.06r0.21 6.88r0.55 21.00r0.49 7 0.66r0.05 4.24r0.01 13.55r0.31 6.95r0.41 20.92r0.28 8 0.64r0.06 4.20r0.02 13.87r0.17 6.79r0.36 21.18r0.15 ·É nµ¸ L nµ¸ a nµ¸ b ªµ¤®º ¨° (centipoise) ¸É 1 79.83r0.18a -3.40r0.02c 22.80r0.32bc 9.10r0.14ab 2 79.25r0.02a -3.35r0.02bc 21.85r0.05b 8.85r0.07a 3 79.78r0.53a -3.35r0.02bc 22.09r0.82b 9.80r0.28b 4 80.21r0.24ab -3.02r0.04a 22.57r0.54bc 8.60r0.14a 5 79.80r0.10a -2.98r0.05a 20.46r0.49a 8.80r0.14a 6 80.71r0.12b -3.13r0.04b 23.52r0.47c 9.85r0.35b 7 80.94r0.03b -2.92r0.01a 24.35r0.04d 9.60r0.14b 8 81.32r0.01c -3.18r0.02b 24.22r0.02d 9.65r0.21b 150
ε o°¤¼¨µ¦ª·Á¦µ³®r»£µ¡µoµµ¥£µ¡ ¨³µoµÁ¤¸¸ÉÅo Ū·Á¦µ³®rµoµ ··Á¡ºÉ°®µªµ¤´¤¡´r´¦³®ªnµµ¦Á¨¸É¥Â¨¦³´ °{´¥¸É嵦«¹¬µ´¨¦³ n°¨´¬³nµÇ Äoµµ¥£µ¡ ¨³Á¤¸ Ã¥®µ¤µ¦ªµ¤´¤¡´rÁ·Áo (Linear regression) ¦³®ªnµ´nª °¤»Å¡¦ÄÂn¨³·É¨°´nµ´Á´Ê¸ÉÅoµµ¦¨° ¸É¤¸n°» ¨´¬³oµnµÇ °¨·£´r Ã¥Äo榤µ· · Statistix v.7.0 (SXW) ¹É¨Åo ´¸Ê
ªµ¤®º (cp) = -9.581*M-29.025*C-40.997*T+95.556*M*C+95*M*T+127.222*C*T R2 = 0.9780
nµ¸ L = 52.256*M-45.989*C-84.861*T+242.223*M*C+195*M*T +504.556*C*T R2 = 0.9880
nµ¸ a = -8.721*M-27.943*C-70.921*T+40.889*M*C+90*M*T+149.555*C*T R2 = 0.9690
nµ¸ b = -3.643*M-137.732*C+47.507*T+348*M*C-135*M*T+308.333*C*T R2 = 0.9540
¼Ã¦ (% w/w) = 11.272*M-7.417*C+14.305*T+38.222*M*C-8*M*T+42.222*C*T R2 = 0.9300
Ê嵨¦¸·ªr (% w/w) = 8.466*M+9.288*C+18.449*T-3.111*M*C-21*M*T-22.111*C*T (as invert sugar) R2 = 0.9940
Ê嵨´Ê®¤ (% w/w) = 17.486*M+11.108*C+16.536*T+22.667*M*C+9*M*T+23*C*T R2 = 0.9440
¦·¤µ¦ (% w/w) = -0.084*M-0.507*C-4.518*T+2.667*M*C+8*M*T+9.333*C*T (as lactic acid) R2 = 0.9920 151
ªµ¤Á}¦nµ = 0.988*M+0.988*C-58.162*T-2.222*M*C+99*M*T+96.111*C*T R2 = 0.9900
®¤µ¥Á®» : C ®¤µ¥¹ Chamomile, M ®¤µ¥¹ Mint ¨³ T ®¤µ¥¹ Thyme M*C, M*T ¨³ C*T ®¤µ¥¹ Interaction ¦³®ªnµ{´¥´ÊÇ
µ¦µ 5.18 ÂÄ®oÁ®ÈªnµÂn¨³·É¨°¤¸nµ¨µ¦ª·Á¦µ³®r»£µ¡µoµnµÇ (µ¥£µ¡ ¨³Á¤¸) ¤¸ªµ¤Ânµ´Ã¥¸ÉÂn¨³·É¨°Å¤n¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´ µ·· (P>0.05) Ä»£µ¡µoµ ¦·¤µ¦´Ê®¤¸Éµ¤µ¦ÅÁ¦Åo ªµ¤Á}¦ Á}nµ Ê嵨¼Ã¦ Ê嵨¦¸·ªr ¨³Ê嵨´Ê®¤ nª¨´¬³µoµ nµ¸ L nµ¸ a nµ¸ b ¨³ ªµ¤®º (cp) ´Ê¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ·· (Pd0.05) ´´ÊÄ ´Ê°µ¦¨°n°Åª¦³¤»nÁo ¨³Ä®oªµ¤Îµ´´»¨´¬³´¨nµª º° ªµ¤®º (cp) nµ¸ L nµ¸ a ¨³nµ¸ b ¹ÉÅoÂĦ¼¡ºÊ·ª°° (Response Surface) ´£µ¡ 5.45, 5.46, 5.47 ¨³ 5.48 µ¤¨Îµ´
Ternary Graph (data physical&chemical.STA 15v*10c) v=-9.581*x-29.025*y-40.997*z+95.556*x*y+95*x*z+127.222*y*z THYME
8.714 8.827 8.941 9.055 9.168 9.282 9.395 9.509 9.623 9.736 MINT CHAMOMILE above
£µ¡ 5.45 £µ¡¡ºÊ¸Éµ¦°° Ternary graph ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °ªµ¤®º 152
Ternary Graph (data physical&chemical.STA 15v*10c) v=52.256*x-45.989*y-84.861*z+242.223*x*y+195*x*z+504.556*y*z THYME
79.438 79.626 79.815 80.003 80.191 80.379 80.567 80.755 80.944 81.132 MINT CHAMOMILE above
£µ¡ 5.46 £µ¡¡ºÊ¸Éµ¦°° Ternary graph ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµ¸ L
Ternary Graph (data physical&chemical.STA 15v*10c) v=-8.721*x-27.943*y-70.921*z+40.889*x*y+90*x*z+149.555*y*z THYME
-3.356 -3.313 -3.269 -3.225 -3.182 -3.138 -3.095 -3.051 -3.007 -2.964 MINT CHAMOMILE above
£µ¡ 5.47 £µ¡¡ºÊ¸Éµ¦°° Ternary graph ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµ¸ a 153
Ternary Graph (data physical&chemical.STA 15v*10c) v=-3.643*x-137.732*y+47.507*z+348*x*y-135*x*z+308.333*y*z THYME
20.814 21.167 21.521 21.875 22.228 22.582 22.935 23.289 23.643 23.996 MINT CHAMOMILE above
£µ¡ 5.48 £µ¡¡ºÊ¸Éµ¦°° Ternary graph ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °nµ¸ b 154
µ¦µ 5.19 ¨µ¦ª·Á¦µ³®r»£µ¡µ¦³µ´¤´ °¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤µ¤ oµªÃ¡¤¤»Å¡¦ ¸ÉÅoµ Mixture Design ·É ¸ ªµ¤Á} ªµ¤¨ºÉ° ªµ¤ o ¨·É¤»Å¡¦ ¨·É oµª ¨·É¦ ¦Á¦¸Ê¥ª ¦®ªµ µ¦¥°¤¦´ ¨° ÁºÊ° ®º á Ã¥¦ª¤ ¸É Á¸¥ª´ 1 1.102r0.01a 0.996r0.01 0.943r0.05 0.873r0.01 0.688r0.12a 0.833r0.03 0.860r0.15 0.989r0.10 0.941r0.07 0.708r0.03a 2 1.086r0.02a 0.996r0.01 0.961r0.06 0.873r0.01 0.844r0.15ab 0.933r0.02 0.860r0.09 1.002r0.05 0.932r0.09 0.737r0.02ab 3 1.086r0.02a 0.996r0.01 0.917r0.05 0.873r0.01 1.018r0.08c 0.833r0.01 0.881r0.07 1.015r0.02 1.019r0.07 0.703r0.08a 4 1.140r0.01b 0.996r0.01 0.960r0.02 0.873r0.01 0.956r0.15bc 0.833r0.15 0.930r0.08 1.000r0.05 1.037r0.16 0.826r0.12ab 5 1.150r0.05b 0.996r0.01 0.952r0.05 0.873r0.01 0.830r0.08abc 0.858r0.20 0.930r0.15 0.996r0.06 1.029r0.23 0.673r0.01a 6 1.068r0.06a 0.996r0.01 0.967r0.06 0.892r0.05 0.918r0.10bc 0.833r0.25 1.000r0.08 1.004r0.08 1.003r0.01 0.737r0.09ab 7 1.086r0.08a 0.996r0.01 0.963r0.03 0.963r0.06 0.891r0.20abc 0.858r0.30 0.947r0.20 0.998r0.09 1.029r0.05 0.717r0.12a 8 1.064r0.12a 0.996r0.01 0.947r0.06 0.928r0.06 0.965r0.15bc 0.833r0.08 0.930r0.25 1.030r0.14 1.003r0.14 0.891r0.15b ®¤µ¥Á®»: * nµ Mean ideal ratio scores r nµÁ¸É¥Á¤µ¦µ µ¼o°·¤ 10 ´ª°´¬¦¸ÉÂnµ´ÄÂn¨³Âª ªnµ¤¸ªµ¤Ânµ°¥nµ¤¸´¥Îµ´µ··¸É Pd0.05 155
¸ 1.5 ¦®ªµ 1 ªµ¤Á}ÁºÊ°Á¸¥ª´ 0.5 ¦Á¦¥ª¸Ê ªµ¤¨ºÉ° 0
¨·É¦ ªµ¤ ®o º ¨·É µªÃ¡o ¨·É¤Å¡¦»
Ideal trt1 trt2 trt3 trt4
£µ¡ 5.49 ÁoµÃ¦¨·£´r¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤µ¤ oµªÃ¡¤¤»Å¡¦·É¨°¸É 1 – 4 ¸ÉÅoµÂµ¦¨°Â Mixture Design
¸ 1.5 ¦®ªµ ªµ¤Á}ÁºÊ°Á¸¥ª´ 1 0.5 ¦Á¦¸Ê¥ª ªµ¤¨ºÉ° 0
¨·É¦ ªµ¤ o®º
¨·É oµªÃ¡ ¨·É¤»Å¡¦
Ideal trt5 trt6 trt7 trt8
£µ¡ 5.50 ÁoµÃ¦¨·£´r¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤µ¤ oµªÃ¡¤¤»Å¡¦·É¨°¸É 5 – 8 ¸ÉÅoµÂµ¦¨°Â Mixture Design 156 µ¦µ 5.19 ³Á®ÈÅoªnµnµÁ¨¸É¥ Ideal ratio score °¨´¬³µ¦³µ´¤´Ä oµnµÇ Ã¥¦ª¤Â¨oªÄÂn¨³·É¨°Å¤n¤¸ªµ¤Ânµ°¥nµ¤¸´¥Îµ´µ·· (P>0.05) ¤¸ Á¡¸¥¨´¬³ ¸ ¨·É¤»Å¡¦ ¨³µ¦¥°¤¦´Ã¥¦ª¤ ¸É¤¸ªµ¤Ânµ´°¥nµ¤¸´¥Îµ´µ ·· (Pd0.05) ¡ªnµ¨´¬³ ¸ ķɨ°¸É 1, 2, 3 ¨³ 7 ¤¸nµ Mean ideal ratio score ´nµ Ä°»¤· (Ideal) °¥nµ¤¸´¥Îµ´nª·É¨°¸É 4, 5, 6 ¨³ 8 Ťn¤¸ªµ¤ÂnµµnµÄ °»¤· (Ideal) ¨³¡ªnµ»¨´¬³ °¨·É¤»Å¡¦ ķɨ°¸É 1 ¨³ 3 ¤¸nµ Mean ideal ratio score ÂnµµnµÄ°»¤· (Ideal) °¥nµ¤¸´¥Îµ´µ·· (Pd0.05) ´Ê®¤µ¥ªµ¤ªnµ ķɨ°¸É 1 ¨³ 3 ŤnÁ}¸É¥°¤¦´µ¼o°·¤°¥nµ¤¸´¥Îµ´´·É¨°¸ÉÁ®¨º° Ĩ´¬³ ° ¨·É¤»Å¡¦ ¨³nªµ¦¥°¤¦´Ã¥¦ª¤´Ê¡ªnµ»·É¨°¥´Å¤nÁ}¸É¥°¤ ¦´µ¼o°·¤ µ¦Á¨¸É¥Â¨¦³´µ¦Äonª¤ °¤»Å¡¦ ¤¸¨¦³n°nµµ¦¥°¤¦´ ° ¨·£´rÃ¥¦°¥nµ¤¸´¥Îµ´µ·· (Pd0.05) Ĩ´¬³ ° ¸ ¨·É¤»Å¡¦ ¨³µ¦ ¥°¤¦´Ã¥¦ª¤ nª¨´¬³°ºÉÇ ´ÊŤn¤¸ªµ¤Ânµ°¥nµ¤¸´¥Îµ´µ·· (P>0.05) Á¤ºÉ° Á¨¸É¥Â¨°´¦µnª¤ °¤»Å¡¦Ân¨³·¹É®¤µ¥¹ µ¦Á·¤Êε¤»Å¡¦¤´ÊŤn¤¸ ¨¦³n°¨´¬³´¨nµª°¥nµ¤¸´¥Îµ´µ·· (P>0.05) ε o°¤¼¨µ¦ª·Á¦µ³®r»£µ¡µoµ¦³µ´¤´¸ÉÅoÅ嵦ª·Á¦µ³®rµ··Á¡ºÉ° ®µªµ¤´¤¡´r´¦³®ªnµµ¦Á¨¸É¥Â¨¦³´ °{´¥¸É 嵦«¹¬µ´¨¦³n° ¨´¬³nµÇ Äoµ¦³µ´¤´ Ã¥®µ¤µ¦ªµ¤´¤¡´rÁ·Áo (Linear regression) ¦³®ªnµ´nª °¤»Å¡¦ÄÂn¨³·É¨°´nµÁ¨¸É¥ Ideal ratio score ¸É¼o°·¤¸É¤¸n° »¨´¬³oµnµÇ °¨·£´r Ã¥Äo榤µ·· Statistix v.7.0 (SXW) ¹É¨ Åo´¸Ê
¸ = 1.958*M+2.531*C-1.079*T-5.067*M*C+2.2*M*T+1.8*C*T R2 = 0.9810
ªµ¤Á} = 0.996*M+0.996*C+0.996*T+3.958*10-6*M*C-2.968*10-6*M*T ÁºÊ°Á¸¥ª´ -9.895*10-7*C*T R2 = 0.9999
ªµ¤¨ºÉ° = 0.687*M-0.159*C-3.531*T+1.733*M*C+5.7*M*T+9.1*C*T R2 = 0.9940 157 ªµ¤ o®º = -0.327*M-3.956*C-2.633*T+10.489*M*C+3.8*M*T+14.289*C*T R2 = 0.9300
¨·É¤»Å¡¦ = -0.677*M-1.762*C+4.579*T+9.156*M*C-1*M*T-6.378*C*T R2 = 0.9310
¨·É oµªÃ¡ = 0.864*M+3.141*C+5.614*T-2.222*M*C-5*M*T-13.889*C*Y R2 = 0.9320
¨·É¦ = -1.071*M-5.24*C-22.092*T+9.911*M*C+32.9*M*T+46.078*C*T R2 = 0.9690
¦Á¦¸Ê¥ª = 0.669*M+0.229*C+1.749*T+2.222*M*C-0.6*M*T-0.244*C*T R2 = 0.9860
¦®ªµ = 0.167*M-2.757*C-8.634*T+6*M*C+13.5*M*T+21.3*C*T R2 = 0.9780
µ¦¥°¤¦´¦ª¤ = 0.653*M-4.41*C+7.929*T+10.756*M*C-15.4*M*T+1.622*C*T R2 = 0.9490
®¤µ¥Á®» : C ®¤µ¥¹ Chamomile, M ®¤µ¥¹ Mint ¨³ T ®¤µ¥¹ Thyme M*C, M*T ¨³ C*T ®¤µ¥¹ Interaction ¦³®ªnµ{´¥´ÊÇ
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Ternary Graph (data ternary plot.STA 13v*10c) v=1.958*x+2.531*y-1.079*z-5.067*x*y+2.2*x*z+1.8*y*z THYME
1.072 1.08 1.087 1.095 1.103 1.111 1.119 1.127 1.134 1.142 MINT CHAMOMILE above
£µ¡ 5.51 £µ¡¡ºÊ¸Éµ¦°° Ternary graph ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¸
Ternary Graph (data ternary plot.STA 13v*10c) v=-0.677*x-1.762*y+4.579*z+9.156*x*y-1*x*z-6.378*y*z THYME
0.718 0.748 0.778 0.808 0.838 0.868 0.898 0.928 0.958 0.988 MINT CHAMOMILE above
£µ¡ 5.52 £µ¡¡ºÊ¸Éµ¦°° Ternary graph ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³¨·É¤»Å¡¦ 159 Ternary Graph (data ternary plot.STA 13v*10c) v=0.653*x-4.41*y+7.929*z+10.756*x*y-15.4*x*z+1.622*y*z THYME
0.693 0.713 0.732 0.752 0.772 0.792 0.812 0.832 0.851 0.871 MINT CHAMOMILE above
£µ¡ 5.53 £µ¡¡ºÊ¸Éµ¦°° Ternary graph ¸ÉÅoµ¤µ¦°¥ (Regression Equation) °¨´¬³µ¦¥°¤¦´Ã¥¦ª¤
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µ¦µ 5.20 °´¦µnª¸ÉÁ®¤µ³¤ °nª¤Êε¤»Å¡¦¸ÉÅoµµ¦ª·Á¦µ³®roª¥Ã¦Â¦¤ Á·Áo (Linear Programming; POM) ¨´¬³Îµ´ °´¦µnª¤¤»Å¡¦ (% w/w) ¤·r µÃ¤¤µ¥ µ¥r¤ ¸ 41.54 33.46 25.00 ªµ¤Á¦¸¥Á¸¥ 45.12 29.88 25.00 ªµ¤¨ºÉ° 44.70 30.26 25.00 ªµ¤ o®º 56.28 25.15 18.57 ¨·É¤»Å¡¦ 49.18 33.90 16.92 ¨·É oµªÃ¡ 48.77 36.04 15.19 ¦Á¦¸Ê¥ª 56.12 28.66 15.22 ¦®ªµ 47.33 35.19 17.48 µ¦¥°¤¦´Ã¥¦ª¤ 50.08 34.65 15.87 ªµ¤®º 42.68 38.89 18.43 nµ¸ L 56.33 28.16 15.51 nµ¸ a 55.33 28.20 16.47 nµ¸ b 56.97 27.24 15.79 Ê嵨¦¸·ªr 55.22 26.33 18.45 Ê嵨´Ê®¤ 50.23 29.77 20.00 ¦´Ê®¤ 52.08 32.19 15.73 ªµ¤Á}¦Á}nµ 50.66 30.11 19.23 nµÁ¨¸É¥ (Mean) 50.51 31.04 18.45 nµÁ¸É¥Á¤µ¦µ r 5.05 r 3.79 r 3.44 (SD)
µ¦µ 5.20 µ¤µ¦°·µ¥Åoªnµ°´¦µnª¸ÉÁ®¤µ³¤ °nª¤Êε¤»Å¡¦¤ ¹Ê°¥¼n´¨´¬³Îµ´oµ ¸ ªµ¤Á¦¸¥Á¸¥ ªµ¤¨ºÉ° ªµ¤ o®º¨·É¤»Å¡¦ 161 ¨·É oµªÃ¡ ¦Á¦¸Ê¥ª ¦®ªµ µ¦¥°¤¦´Ã¥¦ª¤ ªµ¤®ºnµ¸ L nµ¸ a nµ¸ b Ê嵨¦¸·ªr Ê嵨´Ê®¤ ¦·¤µ¦´Ê®¤ ¨³nµªµ¤Á}¦Á}nµ Á¤ºÉ°Îµnµ ° °´¦µnª ° ¤·r, µÃ¤¤µ¥ ¨³µ¥r¤ °¨´¬³´Ê®¤Äµ¦µ 5.20 ¤µÁ¨¸É¥Åo°´¦µ nª¸ÉÁ®¤µ³¤´Âĵ¦µ 5.21
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x nµÁ¨¸É¥rnµÁ¸É¥Á¤µ¦µµµ¦¨° 2 Êε 163 µ¦µ 5.25 nµ Mean Ideal Ratio Score °¨·£´r¤Á¦¸Ê¥ª¡¦o°¤ºÉ¤µ¤ oµªÃ¡ ¤¤»Å¡¦ ¸É¨·Ã¥Äo¼¦ ¨³¦³ªµ¦¨·¸ÉÁ®¤µ³¤
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¸ 1.05r0.07 ªµ¤Á}ÁºÊ°Á¸¥ª´ 0.99r0.02 ªµ¤¨ºÉ° 0.98r0.03 ªµ¤ o®º 1.01r0.12 ¨·É¤»Å¡¦ 1.04r0.15 ¨·É oµªÃ¡ 0.97r0.19 ¨·É¦ 0.99r0.04 ¦Á¦¸Ê¥ª 1.02r0.07 ¦®ªµ 1.02r0.04 µ¦¥°¤¦´Ã¥¦ª¤ 0.91r0.05*
x µÎµª¼o°·¤ 10 * ªµ¤Ânµ°¥nµ¤¸´¥Îµ´µ·· (Pd0.05) ´ Ideal
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1.2 µ¦®µ¦·¤µÁºÊ°»¨·¦¸¥r´Ê®¤ (Total Plate Count) (AOAC, 2000)
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x °µ®µ¦Á¨¸Ê¥ÁºÊ°Â¨³µ¦¨³¨µ¥Îµ®¦´Áº°µ - µ¦¨³¨µ¥´¢Á¢°¦rÁà ªµ¤Á o¤ o¦o°¥¨³ 0.1 (Becto Peptone, Difgo Laboratory, USA) - °µ®µ¦Á¨¸Ê¥ÁºÊ° Plate Count Agar (Becto Plate Count Agar, Difgo Laboratory, USA.)
x °µ®µ¦Á¨¸Ê¥ÁºÊ°Â¨³µ¦¨³¨µ¥Îµ®¦´Áº°µ - µ¦¨³¨µ¥´¢Á¢°¦rÁà ªµ¤Á o¤ o¦o°¥¨³ 0.1 (Becto Peptone, Difgo Laboratory, USA.) - °µ®µ¦Á¨¸Ê¥ÁºÊ° Plate Count Agar (Becto Plate Count Agar, Difgo Labolatory, USA.)
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2. µ¦Än°µ®µ¦Á¨¸Ê¥ÁºÊ° 2.1 ÄodÁ µ 1 ¤·¨¨·¨·¦ ¼µ¦¨³¨µ¥ °´ª°¥nµ°µ®µ¦¨ÄµÁ¡µ³ ÁºÊ°µ¨³ 1 ¤·¨¨·¨·¦ ªµ¤Áº°µ¨³ 2 µ 2.2 Á°µ®µ¦Á¨¸Ê¥ÁºÊ°¨ÄµÁ¡µ³ÁºÊ°¸É¤¸´ª°¥nµ µ¨³ 15-20 ¤·¨¨·¨·¦ 2.3 ¤´ª°¥nµ´°µ®µ¦Á¨¸Ê¥ÁºÊ°Ä®oÁ oµ´ ªµ·ÊŪo°µ®µ¦Â È´ª
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2. µ¦Á¦¸¥¤°µ®µ¦Á¨¸Ê¥ÁºÊ° ¨³¨µ¥°µ®µ¦ Lauryl tryptose broth ¨ÄÊε¨´Éµ¤¸Éε® dÁ°µ®µ¦ ¨Ä®¨°¨°®¨°¨³ 9 ¤·¨¨·¨·¦ Än®¨°´pµ¨Å εÅÁ oµ°°Ão Á¨¢¸É 121 °«µÁ¨Á¸¥ 15 µ¸
3. µ¦Än´ª°¥nµ°µ®µ¦ dÁ´ª°¥nµ°µ®µ¦¸É¤¸ªµ¤Áº°µ¸É 10-1,10-2 ¨³ 10-3 ªµ¤Áº°µ¨³ 1 ¤·¨¨·¨·¦ ¨Ä®¨°¸É¤¸°µ®µ¦Á¨¸Ê¥ÁºÊ° Lauryl tryptose broth ªµ¤Áº°µ¨³ 3 ®¨° ¦ª¤Á} 9 ®¨°
4. µ¦n¤ÁºÊ° n¤®¨°¨°¸ÉÄn´ª°¥nµ°µ®µ¦Â¨oªÄ¼on¤°»®£¼¤· 37 °«µÁ¨Á¸¥ 48 ´ÉªÃ¤
5. µ¦¦ª´Ãè¸ ¨³µ¦¦µ¥µ¨ ®¨´µn¤ÁºÊ°µ¤Îµ®Â¨oª ¦ª´Îµª®¨°¨°¸É¤¸pµÁ· ¹ÊÄ ®¨°´pµ ¨oªÁ¸¥µ¤µ¦µ¸É -1 ¦µ¥µ¨Á} MPN/g 199
6. µ¦¥º¥´¨ ε°µ®µ¦Ä®¨°¨°¸É¤¸pµÁ· ¹Ê®¨°¨³ 1 ¨¼ Á¡µ³¨Ä®¨°¨° ¸É¤¸ Brilliant green lactose bile broth ¨oªÎµÅn¤¸É 37 °«µÁ¨Á¸¥ 48 ´ÉªÃ¤ oµ¤¸pµÁ· ¹ÊÄ®¨°´pµ ªnµÁ}è·¢°¦r¤Â¸Á¦¸¥¸ÉµªnµÁ} E.coli Ä®oÁµ³®¨°´Ê®¤ÁµÇ n°¦ª
7. µ¦¥º¥´ E. coli 1. Ä®oÁ ¸É¥ÁºÊ°µ®¨°¸É¤¸Â¸Á¦¸¥¸ÉµªnµÁ} E. coli ¨Ä°µ®µ¦Á¨¸Ê¥ÁºÊ°°¸Ã° ¸ Á¤¸¨¸¨¼°µµ¦r 2. n¤µÁ¨¸Ê¥ÁºÊ°¸É 37r1 °«µÁ¨Á¸¥ Á}Áª¨µ 18-24 ´ÉªÃ¤ 3. Á ¸É¥ÁºÊ°Ã踸ɤ¸¨´¬³Á¡µ³Á} E. coli µ°µ®µ¦Á¨¸Ê¥ÁºÊ°µ¨³Ãè¸ ¨ÄÊε¦·Ã (Tryptone water) ¨³n¤Ä°nµÊε¸É°»®£¼¤· 44.5r0.5 °«µÁ¨Á¸¥ Á}Áª¨µ 24 ´ÉªÃ¤ Ã¥¨´¬³ °Ãè¸ E.coli ³¤¸ ¨´¬³¸ÊεÁ·°¤Îµ¦¨µ ¨³¤¸¸Á¨ºÉ°¤¤´°¤Á ¸¥ª³o°Â µ¦´Ê ¸Á¨ºÉ°¤¤´°µÅ¤n¦µ 4. nµ¥ÁºÊ° E. coli ¤µ¦µ Ä®¨°Êε¦·Ã Á¡ºÉ°Á}´ª°¥nµª»¤ 5. °µ¦°·Ã¨ ®¨°¸É¤¸µ¦°·Ã¨Á· ¹Ê ªnµÁ}ÁºÊ° E. coli 6. ´¹Îµª®¨°¸É¤¸ E. coli 7. Ä®oεªÂ¨³Á ¸¥¦µ¥µnµ MPN ° coliform ¨³ E. coli Ä´ª°¥nµ Ã¥Á·¦r 1 ¦´¤ 8. µ¦°¥º¥´Á¡·É¤Á·¤Á¸É¥ª´ coliform ¨³ E. coli ª¦°Á¤·¨Á¦ (Methyl red) êÁ-¡¦°ÁµÁ°°¦r (Voges-Proskauer) ¨³ ·Á¦ (Citrate test) Ã¥n°³°··¦·¥µÁ®¨nµ¸Êo°Â¥Ä®oÅoÁºÊ°¦·»·Ín° 200
µ¦µ¸É -1 µ¦¦³¤µ¦·¤µÃ¨·¢°¦r¤Â¸Á¦¸¥¸É¦³´ªµ¤ÁºÉ°¤´É¦o°¥¨³ 95 宦´ ªµ¤Áº°µ 0.1, 0.01 ¨³ 0.001 ¦´¤°¥nµ¨³ 3 ®¨°
媮¨°¸ÉÄ®o¨ª 0.1 ¦´¤ 0.01 ¦´¤ 0.001 ¦´¤ MPN/g 0 0 0 3 0 1 0 3+ 1 0 0 4 1 0 1 7+ 1 1 0 7 1 2 0 11+ 2 0 0 9 2 0 1 14+ 2 1 0 15 2 1 1 20+ 2 2 0 21 3 0 0 23 3 0 1 39 3 1 0 43 3 1 1 75 3 2 0 93 3 2 1 150 3 2 2 210+ 3 3 0 240 3 3 1 460 3 3 2 1100 3 3 3 !1100
¸É¤µ : £ª´ (2544) 201
£µª
´ª°¥nµµ¦Îµª 202
µ¦µ .1 ¤µ¦ªµ¤´¤¡´rÁ·Áo(Linear regression) ¦³®ªnµ°´¦µnª °nª¦³°Ä nª¤®¨´´»£µ¡µoµ¦³µ´¤´oµnµÇ ¤µ¦ªµ¤´¤¡´rÁ·Áo R2 ¸ = 2.942(C) + 2.267(M) – 6.229(M)(C) 0.9818 ¸ = 2.186(M) + 4.569(T) – 9.182(M)(T) 0.9813 ¸ = 5.617(T) + 3.340(C) - 17.125(C)(T) 0.9787
ªµ¤Á¦¸¥Á¸¥ = 2.727(C) + 1.901(M) – 5.286(M)(C) 0.9994 ªµ¤Á¦¸¥Á¸¥ = 1.971(M) + 4.595(T) – 9.230(M)(T) 0.9991 ªµ¤Á¦¸¥Á¸¥ = 5.783(T) + 2.961(C) – 14.211(C)(T) 0.9983
ªµ¤¨ºÉ° = 2.327(C) + 1.633(M) – 3.871(M)(C) 0.9939 ªµ¤¨ºÉ° = 2.021(M) + 4.583(T) – 9.943(M)(T) 0.9932 ªµ¤¨ºÉ° = 4.391(T) + 2.972(C) – 13.758(C)(T) 0.9920
ªµ¤ o®º = 1.979(C) + 1.426(M) – 3.086(M)(C) 0.9322 ªµ¤ o®º = 1.746(M) + 3.946(T) – 8.179(M)(T) 0.9316 ªµ¤ o®º = 4.112(T) + 2.674(C) – 12.834(C)(T) 0.9326
¨·É¤»Å¡¦ = 2.053(C) + 2.102(M) – 5.240(M)(C) 0.9293 ¨·É¤»Å¡¦ = 1.297(M) + 1.858(T) – 7.167(M)(T) 0.9320 ¨·É¤»Å¡¦ = 5.819(T) + 2.560(C) - 17.177(C)(T) 0.9327
¨·É oµªÃ¡ = 1.734(C) + 1.237(M) – 1.995(M)(C) 0.9343 ¨·É oµªÃ¡ = 1.864(M) + 4.105(T) – 9.187(M)(T) 0.9324 ¨·É oµªÃ¡ = 3.900(T) + 2.831(C) – 13.055(C)(T) 0.9347
¨·ÉÁ¦¸Ê¥ª = 2.223(C) + 1.652(M) – 3.929(M)(C) 0.9690 ¨·ÉÁ¦¸Ê¥ª = 1.880(M) + 4.095(T) – 8.540(M)(T) 0.9684 ¨·ÉÁ¦¸Ê¥ª = 4.423(T) + 2.833(C) – 13.685(C)(T) 0.9669 203
¤µ¦ªµ¤´¤¡´rÁ·Áo R2
¦Á¦¸Ê¥ª = 2.799(C) + 1.952(M) – 5.549(M)(C) 0.9859 ¦Á¦¸Ê¥ª = 1.918(M) + 4.532(T) – 8.742(M)(T) 0.9859 ¦Á¦¸Ê¥ª = 4.902(T) + 2.927(C) – 14.285(C)(T) 0.9856
¦®ªµ = 2.509(C) + 2.113(M) – 5.465(M)(C) 0.9783 ¦®ªµ = 1.869(M) + 3.624(T) – 6.592(M)(T) 0.9786 ¦®ªµ = 5.492(T) + 3.010(C) – 16.604(C)(T) 0.9764
µ¦¥°¤¦´Ã¥¦ª¤ = 2.023(C) + 1.437(M) – 3.942(M)(C) 0.9482 µ¦¥°¤¦´Ã¥¦ª¤ = 1.508(M) + 3.601(T) – 7.381(M)(T) 0.9502 µ¦¥°¤¦´Ã¥¦ª¤ = 3.586(T) + 2.138(C) – 10.226(C)(T) 0.9460
´ª°¥nµ .1 µ¦®µ°´¦µnª¸ÉÁ®¤µ³¤ °nª¦³°Änª¤®¨´
ε o°¤¼¨»£µ¡µoµ¦³µ´¤´¤µ®µªµ¤´¤¡´rÁ·Áo (Linear regression) ¦³®ªnµ°´¦µnª °nª¦³°Änª¤¤»Å¡¦¸ÉÄoÄÂn¨³·É¨°´»£µ¡µ ¦³µ´¤´nµ Ç Ã¥Îµµ¦®µªµ¤´¤¡´r¦³®ªnµ»£µ¡µ¦³µ´¤´Ân¨³oµ´ nª¦³°ÄÊε¤»Å¡¦¤¦´Ê¨³°{´¥ ¦ª¤´Ê°··¡¨¦nª¤ (Interaction) °° {´¥´¨nµªoª¥ ¤µ¦¸ÉÅo³Á}¤µ¦¸É¤¸¥´ ε´µ·· ( Pd0.05 ) ´¸Ê
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ªµ¤Á¦¸¥Á¸¥ = 2.727(C) + 1.901(M) – 5.286(M)(C) R2 = 0.9994------(1) ªµ¤Á¦¸¥Á¸¥ = 1.971(M) + 4.595(T) – 9.230(M)(T) R2 = 0.9991------(2) ªµ¤Á¦¸¥Á¸¥ = 5.783(T) + 2.961(C) – 14.211(C)(T) R2 = 0.9983------(3)
Á¤ºÉ°Îµ®Ä®o M º°¤·r C º° µÃ¤¤µ¥ T º° µ¥r¤ 204
¤µ¦´Ê 3 ¤µ¦³Îµ¤µÎµ Partial derivatives Ã¥³Á¸¥´´ªÂ¦¸É¦µÄ ¤µ¦ åε®Ä®o Ǔ Á}¢{´É ° x ε® Partial derivative Ǔ/x ¨³Ä®o ¢{r´É¤¸nµÁ}«¼¥r Á¡ºÉ°®µ»¥° °¦µ¢Åo ´´ÊÂn¨³¤µ¦³Îµ Partial derivatives Åo 2 ¦´ÊÁ¤ºÉ°Á¸¥´ x ¨³ Y µ¤¨Îµ´´¸Ê
¤µ¦ (1) ªµ¤Á¦¸¥Á¸¥(Ǔ) = 2.727(C) + 1.901(M) – 5.286(M)(C) ε Partial derivatives Åo¤µ¦
Ǔ/x(C) = 0 = 2.727 - 5.286(M1) ------(1.1)
Ǔ/x(M) = 0 = 1.901 – 5.286(C1) ------(1.2)
¤µ¦(2) ¨³ (3) ε¤µÎµ Partial derivatives ÁnÁ¸¥ª´Åo¤µ¦´¸Ê
0 = 1.971 – 9.230(T1) ------(2.1)
0 = 4.595 – 9.230(M2) ------(2.2)
0 = 4.783 – 14.211(C2) ------(3.1)
0 = 2.961 – 14.211(T2) ------(3.2)
µ´Ê夵¦ (1.1) ¹ (3.2) ¤µ¨oª¥nµ Lag range (O) ´¸Ê
5.286(M1) - O = 2.727 ------(1.1.1)
5.286(C1) - O = 1.901 ------(1.2.1)
9.230(T1) - O = 1.971 ------(2.1.1)
9.230(M2) - O = 4.595 ------(2.2.1)
14.211(C2) - O = 4.783 ------(3.1.1)
14.211(T2) - O = 2.961 ------(3.2.1) 205
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0.35 d M t 0.60 0.25 d C t 0.40 0.15 d T t 0.25 M + C + T = 1.00
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