How Plankton Swim: an Interdisciplinary Approach for Using Mathematics & Physics to Understand the Biology of the Natural World T

How Plankton Swim: an Interdisciplinary Approach for Using Mathematics & Physics to Understand the Biology of the Natural World T

The University of Maine DigitalCommons@UMaine Marine Sciences Faculty Scholarship School of Marine Sciences 8-1-2008 How Plankton Swim: An Interdisciplinary Approach for Using Mathematics & Physics to Understand the Biology of the Natural World T. W. Clay J. B. Fox D. Grunbaum Peter Jumars University of Maine - Main, [email protected] Follow this and additional works at: https://digitalcommons.library.umaine.edu/sms_facpub Repository Citation Clay, T. W.; Fox, J. B.; Grunbaum, D.; and Jumars, Peter, "How Plankton Swim: An Interdisciplinary Approach for Using Mathematics & Physics to Understand the Biology of the Natural World" (2008). Marine Sciences Faculty Scholarship. 55. https://digitalcommons.library.umaine.edu/sms_facpub/55 This Article is brought to you for free and open access by DigitalCommons@UMaine. It has been accepted for inclusion in Marine Sciences Faculty Scholarship by an authorized administrator of DigitalCommons@UMaine. For more information, please contact [email protected]. How Plankton Swim: An Interdisciplinary Approach for Using Mathematics & Physics To Understand the Biology of the Natural World T ANSY W. CLAY JENNIFER B. FOX DANIEL GRÜNBAUM PETER A. JUMARS DJFOUJGJD SFTFBSDIFST Table 1. Overview of Lessons PGUFO4 VTF NBUIFNBUJDT BOE QIZTJDT UP BEESFTT CJPMPHJDBM LESSON PURPOSE RVFTUJPOT)PXFWFS UIFTFEJT 1. Plankton Lab Students gain familiarity with plankton through detailed firsthand DJQMJOFT BSF HFOFSBMMZ QSFTFOU FE BT TFQBSBUF BOE EJTUJODU BU observations. Students are introduced to plankton ecology and the UIF IJHI TDIPPM MFWFM /FBSMZ importance of plankton in a global context. FWFSZ IJHI TDIPPM TUVEFOU JO 2. Plankton Online Students develop intuition about physical factors that influence planktonic "NFSJDBUBLFTCJPMPHZ NBLJOH movement, and hypothesize about how/why plankton move. UIFCJPMPHZDMBTTUIFJEFBMFOWJ SPONFOUUPJOUSPEVDFTUVEFOUT 3. Viscosity and the Students are introduced to the concepts of viscosity and the Reynolds UP UIF SFMBUFE GJFMET PG NBUI Reynolds Number Number (Re). Students build intuition about movement in viscous FNBUJDT BOE QIZTJDT 6TJOH environments. JOUFSEJTDJQMJOBSZBQQSPBDIFTJO UIF CJPMPHZ DMBTTSPPN UFBDI 4. Forces and Marine Life Students explore how surface area and volume scale with organism size, FST DBO FYQPTF NBOZ NPSF and what this means in terms of the relative importance of inertial and IJHI TDIPPM TUVEFOUT UP CPUI viscous forces. UIF OBUVSF PG JOUFSEJTDJQMJOBSZ XPSL BOE UP TVCKFDU BSFBT JO 5. Practice Calculating Students practice calculating the Re of organisms to determine which NBUIFNBUJDTBOEQIZTJDT5IF Reynolds Numbers forces dominate the movements of each. HPBMT BSF TJNJMBS UP UIF ²QIZT JDTGJSTU³BQQSPBDI -FEFSNBO 6. Low Reynolds Number Students summarize, in their own words, their understanding of the JO UIBU TUVEFOUT VTF Conclusion material covered. INQUIRY & INVESTIGATION INQUIRY QIZTJDT UP BEESFTT CJPMPHJ 7. Model Feeding Students apply the concepts they have learned and the DBM RVFTUJPOT 5ISPVHI VTJOH NBUIFNBUJDT BOE QIZTJDT UP Appendage intuition gained to build a feeding appendage that will work well in a VOEFSTUBOE CJPMPHZ TUVEFOUT low Re environment. 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Photographs of plankton. Top row is zooplankton (from left to right), a copepod (Acartia) (photo courtesy of R. Hopcroft), a copepod (Euchaeta) (photo courtesy of J. Yen), and a larval sand dollar (Dendraster) (photo courtesy of T. Clay). Bottom row is phytoplankton (from left to right), Thalassiosira sp Chaetoceros sp, Ceratium fusus (photos courtesy of K. Holtermann). Note: Images are not to scale. 1IZUPQMBOLUPO QMBOUMJLF QMBOLUPO DPOWFSU MJHIU FOFSHZ UP FOWJSPONFOU JT UIF 3FZOPMET OVNCFS 4G 4G SFQSFTFOUT UIF GPPE UISPVHI QIPUPTZOUIFTJT ;PPQMBOLUPO BOJNBM QMBOLUPO SFMBUJPOTIJQ CFUXFFO JOFSUJB UIF UFOEFODZ UP SFNBJO BU SFTU FBUQIZUPQMBOLUPOBOEBSF JOUVSO FBUFOCZPUIFS[PPQMBOLUPO PSJONPUJPO VOUJMBDUFEPOCZBOPVUTJEFGPSDF BOEWJTDPTJUZ GJTI BOEFWFOXIBMFT MJOLJOHUIJTJNQPSUBOUTPVSDFPGOVUSJFOUT SFTJTUBODFUPGMPX JOUIFGMVJEGMPX IJHIFSVQUIFGPPEDIBJO 'JHVSF *OBEEJUJPO NPTUNBSJOF JOWFSUFCSBUFT TVDIBTTBOEEPMMBST DSBCT BOEDMBNT BOEGJTI Re = (Speed of organism) (Length of organism) (Density of fluid) IBWFBQMBOLUPOJDMBSWBMTUBHF.PWFNFOUBOETVSWJWBMPGUIFTF (Fluid viscosity) MBSWBF QBSUJBMMZ EFUFSNJOF UIF EJTUSJCVUJPO BOE BCVOEBODF PG BEVMUT -BSHF GBTU PSHBOJTNT FH XIBMFT BOE TIBSLT QSPEVDF GMPXTXJUIIJHI4G XIJMFTNBMM TMPXPSHBOJTNT FH QMBOLUPO .PTU [PPQMBOLUPO BOE TPNF QIZUPQMBOLUPO BSF BCMF UP QSPEVDFGMPXTXJUIMPX4G"UIJHI4G GMVJEJOFSUJBEPNJOBUFT TXJNBOETFOTFUIFJSFOWJSPONFOUBOESFTQPOEUPUIJTJOGPSNB 7PHFM 5IJTJTUIFDBTFGPSIVNBOT XIFSFJOFSUJBPGUIF UJPO UISPVHI CFIBWJPSBM DIBOHFT 'PS FYBNQMF QMBOLUPO DBO GMVJE JT QFSDFQUJCMF CFIJOE B GPPU PS GMJQQFS BOE BMMPXT VT UP MPDBUF GBWPSBCMF DPOEJUJPOT TVDI BT GPPE QBUDIFT 4BJ[ FU BM HMJEFBGUFSXFUBLFBTXJNNJOHTUSPLF.PTUTUVEFOUTDBOSFMBUF .FUBYBT :PVOH $MBZ FU BM BOE BWPJE UP UIJT DPODFQU UISPVHI UIFJS PXO FYQFSJFODFT *O DPOUSBTU BU VOGBWPSBCMF DPOEJUJPOT TVDI BT IBSNGVM VMUSBWJPMFU SBEJBUJPO MPX 4G WJTDPVT GPSDFT EPNJOBUF UIF GMVJE 5IJT JT UIF DBTF GPS 1FOOJOHUPO&NMFU 4QFFLNBOOFUBM #JPMPHJTUT NPTUQMBOLUPO7JTDPTJUZJOIJCJUTHMJEJOH TPUIBUNPWFNFOUPOMZ BSF DVSSFOUMZ JOWFTUJHBUJOH XIZ QMBOLUPOJD PSHBOJTNT IBWF PDDVSTEVSJOHBDUJWFTXJNNJOH 7PHFM 4UVEFOUTEPOPU FWPMWFE UP IBWF UIF CPEZ GPSNT UIFZ EP BOE IPX UIFTF CPEZ IBWFFYQFSJFODFJOUIJTGMPX GPSNT JOGMVFODF PSHBOJTN NPWFNFOU ,PFIM :FO (SOCBVN 4USBUINBOO 5P BEESFTT UIFTF RVFTUJPOT 5IFLFZJEFBJTUPDSFBUFBMPX4GFOWJSPONFOUBUBTDBMFUIBU CJPMPHJTUT UBLF BO JOUFSEJTDJQMJOBSZ BQQSPBDI SFMZJOH OPU POMZ TUVEFOUTDBOPCTFSWFEJSFDUMZ5IJTDBOCFBDIJFWFECZQVUUJOH PO UIFJS LOPXMFEHF PG CJPMPHZ CVU BMTP PO UIFJS NBUIFNBUJDT B SFMBUJWFMZ MBSHF PSHBOJTN JO B IJHIMZ WJTDPVT GMVJE FH DPSO BOEQIZTJDTTLJMMT TZSVQ UPNBLFJUFYQFSJFODFB4GTJNJMBSUPNVDITNBMMFSPSHBO "O JNQPSUBOU RVBOUJUBUJWF NFBTVSF CZ XIJDI CJPMPHJTUT JTNTJOXBUFS5IJTQSPWJEFTBXBZGPSTUVEFOUTUPHBJOJOUVJUJPO BTTFTT JOUFSBDUJPOT CFUXFFO BRVBUJD PSHBOJTNT BOE UIFJS GMVJE BCPVUBMPX4GTJUVBUJPO 364 THE AMERICAN BIOLOGY TEACHER, VOLUME 70, NO. 6, AUGUST 2008 -FTTPO1MBOLUPO-BC 1SFQBSBUJPOPG.BUFSJBMT /PUF %JSFDUJPOT GPS CVJMEJOH QMBOLUPO OFUT BOE DPMMFDUJOH QMBOLUPO DBO 0VSMFTTPOTCFHBOXJUIQMBOLUPOFDPMPHZBOEQSP CF GPVOE BU IUUQTFBMFWFMKQMOBTBHPWFEVDBUJPOBDUJWJUJFTUTNFBD HSFTTFEUPUIFEFUBJMTPGIPXQMBOLUPONPWF XJUIBO QEG1MBOLUPOTIPVMECFDPMMFDUFEOPNPSFUIBOIPVSTCFGPSFCFJOH FNQIBTJTPO4G 5BCMF %VSJOHUIFGJSTUGFXMFTTPOT PCTFSWFE6QPODPMMFDUJPO QMBOLUPOTIPVMECFEJMVUFEJOPOFUPUXP "DUJWJUJFT TUVEFOUTNBEFGJSTUIBOEPCTFSWBUJPOTPG HBMMPO CVDLFUT FBDI IBMG GVMM GPS FBTF PG USBOTQPSUBUJPO BOE LFQU QMBOLUPOJDIBCJUBUT CFIBWJPST BOEFDPMPHZ4UVEFOUT SFGSJHFSBUFE MFBSOFE XIBU QMBOLUPO BSF MFBSOFE BCPVU QMBOLUPO .FTITJ[FTPGTUVEFOUCVJMUQMBOLUPOOFUTXJMMWBSZEFQFOEJOHVQPOUIF CFIBWJPS BOE EFWFMPQFE JOUVJUJPO BCPVU QMBOLUPO UZQF CSBOETUZMF PGOZMPOTUPDLJOHVTFE4NBMMFSNFTITJ[FTBSFNPSF NPWFNFOU0ODFTUVEFOUTXFSFGBNJMJBSXJUIQMBOLUPO FGGFDUJWFGPSDPMMFDUJOHQIZUPQMBOLUPO BOEMBSHFSNFTITJ[FTBSFNPSF FGGFDUJWFGPSDPMMFDUJOH[PPQMBOLUPO"MUIPVHIOPUOFDFTTBSZ BQMBOLUPO OFUXJUINNFTIXBTVTFEUPTVQQMFNFOUUIFQMBOLUPODPMMFDUFE NAB CZUIFTUVEFOUT 6KOG4GSWKTGF0OFNJOVUFDMBTTQFSJPE JGQMBOLUPOBSFDPMMFDUFECFGPSF

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