Evolutionary and Functional Lessons from Human-Specific Amino-Acid
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Optimal Matching Distances Between Categorical Sequences: Distortion and Inferences by Permutation Juan P
St. Cloud State University theRepository at St. Cloud State Culminating Projects in Applied Statistics Department of Mathematics and Statistics 12-2013 Optimal Matching Distances between Categorical Sequences: Distortion and Inferences by Permutation Juan P. Zuluaga Follow this and additional works at: https://repository.stcloudstate.edu/stat_etds Part of the Applied Statistics Commons Recommended Citation Zuluaga, Juan P., "Optimal Matching Distances between Categorical Sequences: Distortion and Inferences by Permutation" (2013). Culminating Projects in Applied Statistics. 8. https://repository.stcloudstate.edu/stat_etds/8 This Thesis is brought to you for free and open access by the Department of Mathematics and Statistics at theRepository at St. Cloud State. It has been accepted for inclusion in Culminating Projects in Applied Statistics by an authorized administrator of theRepository at St. Cloud State. For more information, please contact [email protected]. OPTIMAL MATCHING DISTANCES BETWEEN CATEGORICAL SEQUENCES: DISTORTION AND INFERENCES BY PERMUTATION by Juan P. Zuluaga B.A. Universidad de los Andes, Colombia, 1995 A Thesis Submitted to the Graduate Faculty of St. Cloud State University in Partial Fulfillment of the Requirements for the Degree Master of Science St. Cloud, Minnesota December, 2013 This thesis submitted by Juan P. Zuluaga in partial fulfillment of the requirements for the Degree of Master of Science at St. Cloud State University is hereby approved by the final evaluation committee. Chairperson Dean School of Graduate Studies OPTIMAL MATCHING DISTANCES BETWEEN CATEGORICAL SEQUENCES: DISTORTION AND INFERENCES BY PERMUTATION Juan P. Zuluaga Sequence data (an ordered set of categorical states) is a very common type of data in Social Sciences, Genetics and Computational Linguistics. -
Bioinformatics 1: Lecture 3
Bioinformatics 1: Lecture 3 •Pairwise alignment •Substitution •Dynamic Programming algorithm Scoring matrix To prepare an alignment, we first consider the score for aligning (associating) any one character of the first sequence with any one character of the second sequence. A A G A C G T T T A G A C T 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 Exact match 0 0 1 0 0 1 0 0 0 0 1/0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 The cost of mutation is not a constant DNA: A change in the 3rd base in a codon, and sometimes the first base, sometimes conserves the amino acid. No selective pressure. Protein: A change in amino acids that are in the same chemical class conserve their chemical environment. For example: Lys to Arg is conservative because both a positively charged. Conservative amino acid changes N Lys <--> Arg C + N` N N` C N C + C C C N` C C C C O C O C C N N Ile <--> Leu C C C C C C C C O C O C C Ser <--> Thr Asp <--> Glu Asn <--> Gln If the “chemistry” of the sidechain is conserved, then the mutation is less likely to change structure/function. -
Mutations, the Molecular Clock, and Models of Sequence Evolution
Mutations, the molecular clock, and models of sequence evolution Why are mutations important? Mutations can Mutations drive be deleterious evolution Replicative proofreading and DNA repair constrain mutation rate UV damage to DNA UV Thymine dimers What happens if damage is not repaired? Deinococcus radiodurans is amazingly resistant to ionizing radiation • 10 Gray will kill a human • 60 Gray will kill an E. coli culture • Deinococcus can survive 5000 Gray DNA Structure OH 3’ 5’ T A Information polarity Strands complementary T A G-C: 3 hydrogen bonds C G A-T: 2 hydrogen bonds T Two base types: A - Purines (A, G) C G - Pyrimidines (T, C) 5’ 3’ OH Not all base substitutions are created equal • Transitions • Purine to purine (A ! G or G ! A) • Pyrimidine to pyrimidine (C ! T or T ! C) • Transversions • Purine to pyrimidine (A ! C or T; G ! C or T ) • Pyrimidine to purine (C ! A or G; T ! A or G) Transition rate ~2x transversion rate Substitution rates differ across genomes Splice sites Start of transcription Polyadenylation site Alignment of 3,165 human-mouse pairs Mutations vs. Substitutions • Mutations are changes in DNA • Substitutions are mutations that evolution has tolerated Which rate is greater? How are mutations inherited? Are all mutations bad? Selectionist vs. Neutralist Positions beneficial beneficial deleterious deleterious neutral • Most mutations are • Some mutations are deleterious; removed via deleterious, many negative selection mutations neutral • Advantageous mutations • Neutral alleles do not positively selected alter fitness • Variability arises via • Most variability arises selection from genetic drift What is the rate of mutations? Rate of substitution constant: implies that there is a molecular clock Rates proportional to amount of functionally constrained sequence Why care about a molecular clock? (1) The clock has important implications for our understanding of the mechanisms of molecular evolution. -
BASS: Approximate Search on Large String Databases
BASS: Approximate Search on Large String Databases Jiong Yang Wei Wang Philip Yu UIUC UNC Chapel Hill IBM [email protected] [email protected] [email protected] Abstract Similarity search on a string database can be classified into two categories: exact match and approximate match. The In this paper, we study the problem on how to build an index struc- search of exact match looks for substrings in the database, ture for large string databases to efficiently support various types of which is exactly identical to the query pattern while the search string matching without the necessity of mapping the substrings to of approximate match allows some types of imperfection such a numerical space (e.g., string B-tree and MRS-index) nor the re- as substitutions between certain symbols, some degree of mis- striction of in-memory practice (e.g., suffix tree and suffix array). alignment, and the presence of “wild-card” in the query pat- Towards this goal, we propose a new indexing scheme, BASS-tree, tern. We shall mention that supporting approximate match is to efficiently support general approximate substring match (in terms very important to many applications. For instance, biologists of certain symbol substitutions and misalignments) in sublinear time have observed that mutations between certain pair of amino on a large string database. The key idea behind the design is that all acids may occur at a noticeable probability in some proteins positions in each string are grouped recursively into a fully balanced and such a mutation usually does not alter the biological func- tree according to the similarities of the subsequent segments starting tion of the proteins. -
Sequence Motifs, Correlations and Structural Mapping of Evolutionary
Talk overview • Sequence profiles – position specific scoring matrix • Psi-blast. Automated way to create and use sequence Sequence motifs, correlations profiles in similarity searches and structural mapping of • Sequence patterns and sequence logos evolutionary data • Bioinformatic tools which employ sequence profiles: PFAM BLOCKS PROSITE PRINTS InterPro • Correlated Mutations and structural insight • Mapping sequence data on structures: March 2011 Eran Eyal Conservations Correlations PSSM – position specific scoring matrix • A position-specific scoring matrix (PSSM) is a commonly used representation of motifs (patterns) in biological sequences • PSSM enables us to represent multiple sequence alignments as mathematical entities which we can work with. • PSSMs enables the scoring of multiple alignments with sequences, or other PSSMs. PSSM – position specific scoring matrix Assuming a string S of length n S = s1s2s3...sn If we want to score this string against our PSSM of length n (with n lines): n alignment _ score = m ∑ s j , j j=1 where m is the PSSM matrix and sj are the string elements. PSSM can also be incorporated to both dynamic programming algorithms and heuristic algorithms (like Psi-Blast). Sequence space PSI-BLAST • For a query sequence use Blast to find matching sequences. • Construct a multiple sequence alignment from the hits to find the common regions (consensus). • Use the “consensus” to search again the database, and get a new set of matching sequences • Repeat the process ! Sequence space Position-Specific-Iterated-BLAST • Intuition – substitution matrices should be specific to sites and not global. – Example: penalize alanine→glycine more in a helix •Idea – Use BLAST with high stringency to get a set of closely related sequences. -
Phylogeny Codon Models • Last Lecture: Poor Man’S Way of Calculating Dn/Ds (Ka/Ks) • Tabulate Synonymous/Non-Synonymous Substitutions • Normalize by the Possibilities
Phylogeny Codon models • Last lecture: poor man’s way of calculating dN/dS (Ka/Ks) • Tabulate synonymous/non-synonymous substitutions • Normalize by the possibilities • Transform to genetic distance KJC or Kk2p • In reality we use codon model • Amino acid substitution rates meet nucleotide models • Codon(nucleotide triplet) Codon model parameterization Stop codons are not allowed, reducing the matrix from 64x64 to 61x61 The entire codon matrix can be parameterized using: κ kappa, the transition/transversionratio ω omega, the dN/dS ratio – optimizing this parameter gives the an estimate of selection force πj the equilibrium codon frequency of codon j (Goldman and Yang. MBE 1994) Empirical codon substitution matrix Observations: Instantaneous rates of double nucleotide changes seem to be non-zero There should be a mechanism for mutating 2 adjacent nucleotides at once! (Kosiol and Goldman) • • Phylogeny • • Last lecture: Inferring distance from Phylogenetic trees given an alignment How to infer trees and distance distance How do we infer trees given an alignment • • Branch length Topology d 6-p E 6'B o F P Edo 3 vvi"oH!.- !fi*+nYolF r66HiH- .) Od-:oXP m a^--'*A ]9; E F: i ts X o Q I E itl Fl xo_-+,<Po r! UoaQrj*l.AP-^PA NJ o - +p-5 H .lXei:i'tH 'i,x+<ox;+x"'o 4 + = '" I = 9o FF^' ^X i! .poxHo dF*x€;. lqEgrE x< f <QrDGYa u5l =.ID * c 3 < 6+6_ y+ltl+5<->-^Hry ni F.O+O* E 3E E-f e= FaFO;o E rH y hl o < H ! E Y P /-)^\-B 91 X-6p-a' 6J. -
Computational Biology Lecture 8: Substitution Matrices Saad Mneimneh
Computational Biology Lecture 8: Substitution matrices Saad Mneimneh As we have introduced last time, simple scoring schemes like +1 for a match, -1 for a mismatch and -2 for a gap are not justifiable biologically, especially for amino acid sequences (proteins). Instead, more elaborated scoring functions are used. These scores are usually obtained as a result of analyzing chemical properties and statistical data for amino acids and DNA sequences. For example, it is known that same size amino acids are more likely to be substituted by one another. Similarly, amino acids with same affinity to water are likely to serve the same purpose in some cases. On the other hand, some mutations are not acceptable (may lead to demise of the organism). PAM and BLOSUM matrices are amongst results of such analysis. We will see the techniques through which PAM and BLOSUM matrices are obtained. Substritution matrices Chemical properties of amino acids govern how the amino acids substitue one another. In principle, a substritution matrix s, where sij is used to score aligning character i with character j, should reflect the probability of two characters substituing one another. The question is how to build such a probability matrix that closely maps reality? Different strategies result in different matrices but the central idea is the same. If we go back to the concept of a high scoring segment pair, theory tells us that the alignment (ungapped) given by such a segment is governed by a limiting distribution such that ¸sij qij = pipje where: ² s is the subsitution matrix used ² qij is the probability of observing character i aligned with character j ² pi is the probability of occurrence of character i Therefore, 1 qij sij = ln ¸ pipj This formula for sij suggests a way to constrcut the matrix s. -
Development of Novel Classical and Quantum Information Theory Based Methods for the Detection of Compensatory Mutations in Msas
Development of novel Classical and Quantum Information Theory Based Methods for the Detection of Compensatory Mutations in MSAs Dissertation zur Erlangung des mathematisch-naturwissenschaftlichen Doktorgrades ”Doctor rerum naturalium” der Georg-August-Universität Göttingen im Promotionsprogramm PCS der Georg-August University School of Science (GAUSS) vorgelegt von Mehmet Gültas aus Kirikkale-Türkei Göttingen, 2013 Betreuungsausschuss Professor Dr. Stephan Waack, Institut für Informatik, Georg-August-Universität Göttingen. Professor Dr. Carsten Damm, Institut für Informatik, Georg-August-Universität Göttingen. Professor Dr. Edgar Wingender, Institut für Bioinformatik, Universitätsmedizin, Georg-August-Universität Göttingen. Mitglieder der Prüfungskommission Referent: Prof. Dr. Stephan Waack, Institut für Informatik, Georg-August-Universität Göttingen. Korreferent: Prof. Dr. Carsten Damm, Institut für Informatik, Georg-August-Universität Göttingen. Korreferent: Prof. Dr. Mario Stanke, Institut für Mathematik und Informatik, Ernst Moritz Arndt Universität Greifswald Weitere Mitglieder der Prüfungskommission Prof. Dr. Edgar Wingender, Institut für Bioinformatik, Universitätsmedizin, Georg-August-Universität Göttingen. Prof. Dr. Burkhard Morgenstern, Institut für Mikrobiologie und Genetik, Abteilung für Bioinformatik, Georg-August- Universität Göttingen. Prof. Dr. Dieter Hogrefe, Institut für Informatik, Georg-August-Universität Göttingen. Prof. Dr. Wolfgang May, Institut für Informatik, Georg-August-Universität Göttingen. Tag der mündlichen -
COVID-19: the Disease, the Immunological Challenges, the Treatment with Pharmaceuticals and Low-Dose Ionizing Radiation
cells Review COVID-19: The Disease, the Immunological Challenges, the Treatment with Pharmaceuticals and Low-Dose Ionizing Radiation Jihang Yu 1 , Edouard I. Azzam 1, Ashok B. Jadhav 1 and Yi Wang 1,2,* 1 Radiobiology and Health, Isotopes, Radiobiology & Environment Directorate (IRED), Canadian Nuclear Laboratories (CNL), Chalk River, ON K0J 1J0, Canada; [email protected] (J.Y.); [email protected] (E.I.A.); [email protected] (A.B.J.) 2 Department of Biochemistry Microbiology and Immunology, Faculty of Medicine, University of Ottawa, Ottawa, ON K1H 8M5, Canada * Correspondence: [email protected]; Tel.: +1-613-584-3311 (ext. 42653) Abstract: The year 2020 will be carved in the history books—with the proliferation of COVID-19 over the globe and with frontline health workers and basic scientists worldwide diligently fighting to alleviate life-threatening symptoms and curb the spread of the disease. Behind the shocking prevalence of death are countless families who lost loved ones. To these families and to humanity as a whole, the tallies are not irrelevant digits, but a motivation to develop effective strategies to save lives. However, at the onset of the pandemic, not many therapeutic choices were available besides supportive oxygen, anti-inflammatory dexamethasone, and antiviral remdesivir. Low-dose radiation (LDR), at a much lower dosage than applied in cancer treatment, re-emerged after a Citation: Yu, J.; Azzam, E.I.; Jadhav, 75-year silence in its use in unresolved pneumonia, as a scientific interest with surprising effects in A.B.; Wang, Y. COVID-19: The soothing the cytokine storm and other symptoms in severe COVID-19 patients. -
The Phylogenetic Handbook: a Practical Approach to Phylogenetic Analysis and Hypothesis Testing, Philippe Lemey, Marco Salemi, and Anne-Mieke Vandamme (Eds.)
10 Selecting models of evolution THEORY David Posada 10.1 Models of evolution and phylogeny reconstruction Phylogenetic reconstruction is a problem of statistical inference. Since statistical inferences cannot be drawn in the absence of probabilities, the use of a model of nucleotide substitution or amino acid replacement – a model of evolution – becomes indispensable when using DNA or protein sequences to estimate phylo- genetic relationships among taxa. Models of evolution are sets of assumptions about the process of nucleotide or amino acid substitution (see Chapters 4 and 9). They describe the different probabilities of change from one nucleotide or amino acid to another along a phylogenetic tree, allowing us to choose among different phylogenetic hypotheses to explain the data at hand. Comprehensive reviews of models of evolution are offered elsewhere (Swofford et al., 1996;Lio` & Goldman, 1998). As discussed in the previous chapters, phylogenetic methods are based on a number of assumptions about the evolutionary process. Such assumptions can be implicit, like in parsimony methods (see Chapter 8), or explicit, like in distance or maximum likelihood methods (see Chapters 5 and 6, respectively). The advantage of making a model explicit is that the parameters of the model can be estimated. Distance methods can only estimate the number of substitutions per site. However, maximum likelihood methods can estimate all the relevant parameters of the model of evolution. Parameters estimated via maximum likelihood have desirable statistical properties: as sample sizes get large, they converge to the true value and The Phylogenetic Handbook: a Practical Approach to Phylogenetic Analysis and Hypothesis Testing, Philippe Lemey, Marco Salemi, and Anne-Mieke Vandamme (eds.). -
Nucleotide Base Coding and Am1ino Acid Replacemients in Proteins* by Emil L
VOL. 48, 1962 BIOCHEMISTRY: E. L. SAIITH 677 18 Britten, R. J., and R. B. Roberts, Science, 131, 32 (1960). '9 Crestfield, A. M., K. C. Smith, and F. WV. Allen, J. Biol. Chem., 216, 185 (1955). 20 Gamow, G., Nature, 173, 318 (1954). 21 Brenner, S., these PROCEEDINGS, 43, 687 (1957). 22 Nirenberg, M. WV., J. H. Matthaei, and 0. WV. Jones, unpublished data. 23 Crick, F. H. C., L. Barnett, S. Brenner, and R. J. Watts-Tobin, Nature, 192, 1227 (1961). 24 Levene, P. A., and R. S. Tipson, J. Biol. Ch-nn., 111, 313 (1935). 25 Gierer, A., and K. W. Mundry, Nature, 182, 1437 (1958). 2' Tsugita, A., and H. Fraenkel-Conrat, J. Mllot. Biol., in press. 27 Tsugita, A., and H. Fraenkel-Conrat, personal communication. 28 Wittmann, H. G., Naturwissenschaften, 48, 729 (1961). 29 Freese, E., in Structure and Function of Genetic Elements, Brookhaven Symposia in Biology, no. 12 (1959), p. 63. NUCLEOTIDE BASE CODING AND AM1INO ACID REPLACEMIENTS IN PROTEINS* BY EMIL L. SMITHt LABORATORY FOR STUDY OF HEREDITARY AND METABOLIC DISORDERS AND THE DEPARTMENTS OF BIOLOGICAL CHEMISTRY AND MEDICINE, UNIVERSITY OF UTAH COLLEGE OF MEDICINE Communicated by Severo Ochoa, February 14, 1962 The problem of which bases of messenger or template RNA' specify the coding of amino acids in proteins has been largely elucidated by the use of synthetic polyri- bonucleotides.2-7 For these triplet nucleotide compositions (Table 1), it is of in- terest to examine some of the presently known cases of amino acid substitutions in polypeptides or proteins of known structure. -
B.Sc. (Hons.) Biotech BIOT 3013 Unit-5 Satarudra P Singh
B.Sc. (Hons.) Biotechnology Core Course 13: Basics of Bioinformatics and Biostatistics (BIOT 3013 ) Unit 5: Sequence Alignment and database searching Dr. Satarudra Prakash Singh Department of Biotechnology Mahatma Gandhi Central University, Motihari Challenges in bioinformatics 1. Obtain the genome of an organism. 2. Identify and annotate genes. 3. Find the sequences, three dimensional structures, and functions of proteins. 4. Find sequences of proteins that have desired three dimensional structures. 5. Compare DNA sequences and proteins sequences for similarity. 6. Study the evolution of sequences and species. Sequence alignments lie at the heart of all bioinformatics Definition of Sequence Alignment • Sequence alignment is the procedure of comparing two or more sequences by searching for a series of individual characters or character patterns that are in the same order in the sequences. LGPSSKQTGKGS - SRIWDN Global Alignment LN – ITKSAGKGAIMRLFDA --------TGKG --------- Local Alignment --------AGKG --------- • In global alignment, an attempt is made to align the entire sequences, as many characters as possible. • In local alignment, stretches of sequence with the highest density of matches are given the highest priority, thus generating one or more islands of matches in the aligned sequences. • Eg: problem of locating the famous TATAAT - box (a bacterial promoter) in a piece of DNA. Method for pairwise sequence Alignment: Dynamic Programming • Global Alignment: Needleman- Wunsch Algorithm • Local Alignment: Smith-Waterman Algorithm Needleman & Wunsch algorithm : Global alignment • There are three major phases: 1. initialization 2. Fill 3. Trace back. • Initialization assign values for the first row and column. • The score of each cell is set to the gap score multiplied by the distance from the origin.