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Dissertations / Theses on the topic 'Population genetics Mathematics'

Author: Grafiati

Published: 10 December 2022

Last updated: 31 July 2025

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1

Herbots, Hilde Maria Jozefa Dominiek. "Stochastic models in population genetics : genealogy and genetic differentiation in structured populations." Thesis, Queen Mary, University of London, 1994. http://qmro.qmul.ac.uk/xmlui/handle/123456789/1482.

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The theory of probability and stochastic processes is applied to a current issue in population genetics, namely that of genealogy and genetic differentiation in subdivided populations. It is proved that under a reasonable model for reproduction and migration, the ancestral process of a sample from a subdivided population converges weakly, as the subpopulation sizes tend to infinity, to a continuous-time Markov chain called the "structured coalescent". The moment-generating function, the mean and the cond moment of the time since the most recent common ancestor (called the "coalescence time") o

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2

Levin, Alex Ph D. (Alexander) Massachusetts Institute of Technology. "Graphs, matrices, and populations : linear algebraic techniques in theoretical computer science and population genetics." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/83695.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Department of Mathematics, 2013.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 149-155).<br>In this thesis, we present several algorithmic results for problems in spectral graph theory and computational biology. The first part concerns the problem of spectral sparsification. It is known that every dense graph can be approximated in a strong sense by a sparse subgraph, known as a spectral sparsifier of the graph. Furthermore, researchers have recently developed efficient algorithms for computing suc

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3

Ishida, Yoichi. "Secret analogies mathematics, ecology, and evolution /." abstract and full text PDF (free order & download UNR users only), 2007. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1442878.

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4

Reich, David Emile. "Genetic analysis of human evolutionary history with implications for gene mapping." Thesis, University of Oxford, 1999. http://ora.ox.ac.uk/objects/uuid:9e3a3eb7-3cce-4494-82e8-8616fabed145.

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Genetic variation contains detailed and quantitative evidence about the history of populations. The historical traces of demographic growth and contraction, as well as the history of human disease, have left traces on the patterns of modern variation and can be studied by sampling present-day populations. However, the data sets that are necessary in order to take full advantage of this living archaeological record have not been available until recently. The quality and quantity of data have increased dramatically during the past decade because of the identification of polymorphisms, including

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5

Gjini, Erida. "Bridging between parasite genomic data and population processes : trypanosome dynamics and the antigenic archive." Thesis, University of Glasgow, 2012. http://theses.gla.ac.uk/3375/.

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Antigenic variation processes play a central role in parasite invasion and chronic infectious disease, and are likely to respond to host immune mechanisms and epidemiological characteristics. Whether changes in antigenic variation strategies lead to net positive or negative effects for parasite fitness is unclear. To improve our understanding of pathogen evolution, it is important to investigate the mechanisms by which pathogens regulate antigenic variant expression. This involves consideration of the complex interactions that occur between parasites and their hosts, and top-down and bottom-up

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6

Lundy, Ian J. "Theoretical population genetics of spatially structured populations /." Title page, contents and summary only, 1997. http://web4.library.adelaide.edu.au/theses/09PH/09phl962.pdf.

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7

Loucoubar, Cheikh. "Statistical genetic analysis of infectious disease (malaria) phenotypes from a longitudinal study in a population with significant familial relationships." Phd thesis, Université René Descartes - Paris V, 2012. http://tel.archives-ouvertes.fr/tel-00685104.

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Long term longitudinal surveys have the advantage to enable several sampling of the studied phenomena and then, with the repeated measures obtained, find a confirmed tendency. However, these long term surveys generate large epidemiological datasets including more sources of noise than normal datasets (e.g. one single measure per observation unit) and potential correlation in the measured values. Here, we studied data from a long-term epidemiological and genetic survey of malaria disease in two family-based cohorts in Senegal, followed for 19 years (1990-2008) in Dielmo and for 16 years (1993-2

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8

Olsson, Fredrik. "Inbreeding, Effective Population Sizes and Genetic Differentiation : A Mathematical Analysis of Structured Populations." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-115708.

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This thesis consists of four papers on various aspects of inbreeding, effective population sizes and genetic differentiation in structured populations, that is, populations that consist of a number of subpopulations. Three of the papers concern age structured populations, where in the first paper we concentrate on calculating the variance effective population size (NeV) and how NeV depends on the time between measurements and the weighting scheme of age classes. In the third paper we develop an estimation procedure of NeV which uses age specific demographic parameters to obtain approximately u

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9

Xu, Yiyang. "Topics in population genetics and mathematical evolutionary biology." Thesis, University of Bristol, 2015. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682366.

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Part A studies the optimal strategies of seed germination problems where the population has a class structure under a fluctuating environment . In particular, a multidimensional age-class model is studied using a dynamical programming method. Numerical results about the so-called optimal stochastic strategy which consists of information about previous environmental states are computed. Comparing the optimal stochastic strategy with the optimal population-based strategy shows that the optimal stochastic strategy is highly effective in genera.l. A potentially useful diffusion approximation for t

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10

Martin, Anna. "Mathematical modeling of seed bank dynamics in population genetics." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-321191.

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We study the genealogical structure of samples from a population for which any givengeneration is made up of direct descendants from one randomly chosen previousgeneration. These occur in nature when there are seed banks or egg banks allowingan individual to leave offspring several generations in the future. Kaj et al. studied in2001 the case where any given generation is made up of descendants from severalprevious generations and showed how this temporal structure in the reproductionmechanism causes a decrease in the coalescence rate. In this project we will showthat having all samples pick t

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11

Auton, Adam. "The estimation of recombination rates from population genetic data." Thesis, University of Oxford, 2007. http://ora.ox.ac.uk/objects/uuid:dc38045b-725d-4afc-8c76-94769db3534d.

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Genetic recombination is an important process that generates new combinations of genes on which natural selection can operate. As such, an understanding of recombination in the human genome will provide insight into the evolutionary processes that have shaped our genetic history. The aim of this thesis is to use samples of population genetic data to explore the patterns of variation in the rate of recombination in the human genome. To do this I introduce a novel means of estimating recombination rates from population genetic data. The new, computationally efficient method incorporates a model

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12

Sester-Huss, Elisabeth Mariko [Verfasser], and Peter [Akademischer Betreuer] Pfaffelhuber. "Population genetic models with selection, fluctuating environments and population structure." Freiburg : Universität, 2020. http://d-nb.info/1206095830/34.

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13

Jiang, Hongyu. "Population genetics genealogies under selection." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:141f4e19-d13a-409e-a7c7-aeaabd6b9b88.

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In the presence of selection and mutation, the genealogy of a given sample configuration can be described by two classes of ancestral processes, namely the coalescent-in-a-random-background model of Kaplan et al. (1988) and the dual process with typed lines of Etheridge and Griffiths (2009). These two processes are based on the same forwards population genetics model. However, in the former model, selection is reflected in the ancestral frequencies in the population, while in the latter model, there are branching events that generate virtual ancestral lines. We simulate the dual processes with

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14

Tran, Tat Dat. "Information Geometry and the Wright-Fisher model of Mathematical Population Genetics." Doctoral thesis, Universitätsbibliothek Leipzig, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-90508.

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My thesis addresses a systematic approach to stochastic models in population genetics; in particular, the Wright-Fisher models affected only by the random genetic drift. I used various mathematical methods such as Probability, PDE, and Geometry to answer an important question: \"How do genetic change factors (random genetic drift, selection, mutation, migration, random environment, etc.) affect the behavior of gene frequencies or genotype frequencies in generations?”. In a Hardy-Weinberg model, the Mendelian population model of a very large number of individuals without genetic change factors

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15

KOT, MARK. "THE EFFECTS OF PARAMETRIC EXCITATION AND OF DISPERSAL ON THE DYNAMICS OF DISCRETE-TIME POPULATION MODELS." Diss., The University of Arizona, 1987. http://hdl.handle.net/10150/184074.

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Parametric excitation and dispersal are added to discrete-time population models. Discrete-time models for growth with dispersal share many of the attributes of reaction-diffusion equations. At the same time, these models readily exhibit period doubling and chaos. Large parametric excitation (seasonality) is inevitably destabilizing, but mild seasonality may have a pronounced stabilizing effect. Seasonality also allows for the coexistence of alternative stable states (equilibria, cycles, chaos). Many examples are presented.

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16

López, de Rioja Víctor. "Population range expansions, with mathematical applications to interacting systems and ancient human genetics." Doctoral thesis, Universitat de Girona, 2019. http://hdl.handle.net/10803/667171.

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The thesis studies from an analytical and computational perspective, and by using reaction-diffusion equations, the spatiotemporal evolution of different populations. First, the dynamics of the T7 bacteriophage infecting the E. coli bacteria is studied. By adding the delayed time in diffusion and reaction terms, as well as new mathematical terms biologically sound, we can achieve results that accurately match the experimental propagation speeds. Secondly, different mathematical models are proposed to correctly understand the expansion of VSV in Glioblastoma. The only model capable of t

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17

Lipson, Mark (Mark Israel). "New statistical genetic methods for elucidating the history and evolution of human populations." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/89873.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Cataloged from student-submitted PDF version of thesis.<br>Includes bibliographical references (pages 165-173).<br>In the last few decades, the study of human history has been fundamentally changed by our ability to detect the signatures left within our genomes by adaptations, migrations, population size changes, and other processes. Rapid advances in DNA s

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18

Arpin, Sheree. "Using Mathematical Models to Investigate Phenotypic Oscillations in Cichlid Fish: A Case of Frequency-dependent Selection." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/195981.

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Perissodus microlepis is a species of cichlid fish endemic to Lake Tanganyika (Africa). Adult P. microlepis are lepidophages, feeding on the scales of other living fish. As an adaptation for this feeding behavior P. microlepis exhibit lateral asymmetry with respect to jaw morphology: the mouth either opens to the right or left side of the body. Field data illustrate a temporal phenotypic oscillation in the mouth-handedness, and this oscillation is maintained by frequency-dependent selection. To better understand the oscillation, Takahashi and Hori model frequency-dependent selection in P.

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19

Pieper, Daniel [Verfasser], and Martin [Akademischer Betreuer] Hutzenthaler. "Many-demes limit for interacting diffusions with applications in population genetics / Daniel Pieper ; Betreuer: Martin Hutzenthaler." Duisburg, 2020. http://d-nb.info/1213245508/34.

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20

Hustedt, Thiemo [Verfasser]. "The Moran model of population genetics : case studies with recombination and selection / Thiemo Hustedt. Fakultät für Mathematik." Bielefeld : Universitätsbibliothek Bielefeld, Hochschulschriften, 2012. http://d-nb.info/1024640523/34.

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21

Forest, Marie. "Simultaneous estimation of population size changes and splits times using importance sampling." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:8c067a3d-44d5-468a-beb5-34c5830998c4.

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The genome is a treasure trove of information about the history of an individual, his population, and his species. For as long as genomic data have been available, methods have been developed to retrieve this information and learn about population history. Over the last decade, large international genomic projects (e.g. the HapMap Project and the 1000 Genomes Project) have offered access to high quality data collected from thousands of individuals from a vast number of populations. Freely available to all, these databases offer the possibility to develop new methods to uncover the history of t

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22

Gayley, Todd Warwick. "Genetic models of two-phenotype frequency-dependent selection." Diss., The University of Arizona, 1989. http://hdl.handle.net/10150/184883.

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The aim of this study is to place a wide variety of two-phenotype frequency-dependent selection models into a unified population-genetic framework. This work is used to illuminate the possible genetic constraints that may exist in such models, and to address the question of evolutionary modification of these constraints. The first part of Chapter 1 synthesizes from the literature a general framework for applying a genetic structure to a simple class of two-phenotype models. It shows that genetic constraints may prevent the population from achieving a predicted phenotypic equilibrium, but the p

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23

Wittmann, Meike [Verfasser], and Dirk [Akademischer Betreuer] Metzler. "Stochastic models for the ecology and population genetics of introduced species / Meike Wittmann. Betreuer: Dirk Metzler." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2014. http://d-nb.info/1047062380/34.

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24

Straulino, Daniel. "Selection in a spatially structured population." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:3a20f7a3-27cd-4cbb-9e88-7ebb21ce4e0d.

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This thesis focus on the effect that selection has on the ancestry of a spatially structured population. In the absence of selection, the ancestry of a sample from the population behaves as a system of random walks that coalesce upon meeting. Backwards in time, each ancestral lineage jumps, at the time of its birth, to the location of its parent, and whenever two ancestral lineages have the same parent they jump to the same location and coalesce. Introducing selective forces to the evolution of a population translates into branching when we follow ancestral lineages, a by-product of biased sam

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Xifara, Dionysia-Kiara. "The detection, structure and uses of extended haplotype identity in population genetic data." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:9fabc91a-dd07-4deb-b722-f6b9110b34fb.

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In large-scale population genomic data sets, individual chromosomes are likely to share extended regions of haplotype identity with others in the sample. Patterns of local haplotype sharing can be highly informative about many processes including historical demography, selection and recombination. However, in outbred diploid populations, the identification of extended shared haplotypes is not straightforward, particularly in the presence of low levels of genotyping error. Here, we introduce a model-based method for accurately detecting extended haplotype sharing between sets of individuals fro

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González, Casanova Soberón Adrián [Verfasser], Jochen [Akademischer Betreuer] Blath, Noemi [Akademischer Betreuer] Kurt, Jochen [Gutachter] Blath, Noemi [Gutachter] Kurt, and Anton [Gutachter] Wakolbinger. "The effect of latency in population genetics / Adrián González Casanova Soberón ; Gutachter: Jochen Blath, Noemi Kurt, Anton Wakolbinger ; Jochen Blath, Noemi Kurt." Berlin : Technische Universität Berlin, 2016. http://d-nb.info/1156013100/34.

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27

Siska, Veronika. "Human population history and its interplay with natural selection." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/284164.

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The complex demographic changes that underlie the expansion of anatomically modern humans out of Africa have important consequences on the dynamics of natural selection and our ability to detect it. In this thesis, I aimed to refine our knowledge on human population history using ancient genomes, and then used a climate-informed, spatially explicit framework to explore the interplay between complex demographies and selection. I first analysed a high-coverage genome from Upper Palaeolithic Romania from ~37.8 kya, and demonstrated an early diversification of multiple lineages shortly after the o

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Tran, Tat Dat [Verfasser], Jürgen [Akademischer Betreuer] Jost, Jürgen [Gutachter] Jost, and Shun-ichi [Gutachter] Amari. "Information Geometry and the Wright-Fisher model of Mathematical Population Genetics / Tat Dat Tran ; Gutachter: Jürgen Jost, Shun-ichi Amari ; Betreuer: Jürgen Jost." Leipzig : Universitätsbibliothek Leipzig, 2012. http://d-nb.info/1238077277/34.

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29

Hechter, Eliana. "On genetic variants underlying common disease." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:d883f20e-7dad-4216-8851-b006993832fd.

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Genome-wide association studies (GWAS) exploit the correlation in ge- netic diversity along chromosomes in order to detect effects on disease risk without having to type causal loci directly. The inevitable downside of this approach is that, when the correlation between the marker and the causal variant is imperfect, the risk associated with carrying the predisposing allele is diluted and its effect is underestimated. This thesis explores four different facets of this risk dilution: (1) estimating true effect sizes from those observed in GWAS; (2) asking how the context of a GWAS, including th

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Bhatt, Samir. "Statistical analysis of natural selection in RNA virus populations." Thesis, University of Oxford, 2010. http://ora.ox.ac.uk/objects/uuid:64341c38-f09e-48ed-84e8-7ab9f171a753.

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A key goal of modern evolutionary biology is the identification of genes or genome regions that have been targeted by natural selection. Methods for detecting natural selection utilise the information sampled in contemporary gene sequences and test for deviation from the null hypothesis of neutrality. One such method is the McDonald Kreitman test (MK test), which detects the the molecular 'footprint' left by natural selection by considering the frequency of observed mutations within the sampled population. In this thesis I investigate the applicability of the MK test to viral populations and d

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Dilthey, Alexander Tilo. "Statistical HLA type imputation from large and heterogeneous datasets." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:1bca18bf-b9d5-4777-b58e-a0dca4c9dbea.

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An individual's Human Leukocyte Antigen (HLA) type is an essential immunogenetic parameter, influencing susceptibility to a variety of autoimmune and infectious diseases, to certain types of cancer and the likelihood of adverse drug reactions. I present and evaluate two models for the accurate statistical determination of HLA types for single-population and multi-population studies, based on SNP genotypes. Importantly, SNP genotypes are already available for many studies, so that the application of the statistical methods presented here does not incur any extra cost besides computing time. HLA

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Pereira, Renato Nunes. "Modelo hierárquico bayesiano na determinação de associação entre marcadores e QTL em uma população F2." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/11/11134/tde-25042012-161429/.

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O objetivo do mapeamento de QTL (Quantitative Trait Loci ) e identificar sua posição no genoma, isto e, identificar em qual cromossomo esta e qual sua localização nesse cromossomo, bem como estimar seus efeitos genéticos. Uma vez que as localizações dos QTL não são conhecidas a priori, marcadores são usados frequentemente para auxiliar no seu mapeamento. Alguns marcadores podem estar altamente ligados a um ou mais QTL e, dessa forma eles podem mostrar uma alta associação com a característica fenotípica. O efeito genético do QTL e os valores fenotípicos de uma característica quantitativa são no

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33

Gryspeirt, Aiko. "Impact des plantes Bt sur la biologie de Plodia interpunctella: évaluation de l'efficacité de la stratégie agricole "Haute dose - refuge" pour la gestion de la résistance des insectes ravageurs aux plantes Bt." Doctoral thesis, Universite Libre de Bruxelles, 2008. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210542.

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Commercialisées depuis 1996, les plantes génétiquement modifiées produisant une toxine insecticide (toxine Cry) dérivée de Bacillus thuringiensis et appelées plantes Bt ciblent certains Lépidoptères ou Coléoptères ravageurs. Au fil des ans, les surfaces cultivées en plantes Bt sont de plus en plus importantes et contrôlent de larges populations d'insectes. Pour limiter le risque de développement de populations résistantes, une stratégie agricole appelée 'Haute Dose / Zone Refuge' est actuellement recommandée aux Etats-Unis par l'Environmental Protection Agency. Cette stratégie préventive néces

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Blum, Michael G. B. "Statistique bayésienne et applications en génétique des populations." Habilitation à diriger des recherches, Université de Grenoble, 2012. http://tel.archives-ouvertes.fr/tel-00766196.

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Les approches statistiques en génétique des populations visent deux objectifs distincts qui sont la description des données et la possibilité d'inférer les processus évolutifs qui ont généré les patrons observés. Le premier chapitre de ce manuscrit décrit nos apports théoriques et méthodologiques concernant le calcul bayésien approché (Approximate Bayesian Computation) qui permet de réaliser l'objectif d'inférence des processus évolutifs. Je décris des résultats asymptotiques qui permettent de décrire des propriétés statistiques du calcul bayésien approché. Ces résultats mettent en évidence à

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Brown, Samuel David James. "Molecular systematics and colour variation of Carpophilus species (Coleoptera: Nitidulidae) of the South Pacific." Diss., Lincoln University, 2009. http://hdl.handle.net/10182/1430.

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The sap beetle genus Carpophilus Stephens (Coleoptera: Nitidulidae) is a large genus consisting of over 200 species and are found worldwide. Several species are important pests of crops and stored products, and are frequently intercepted as part of biosecurity operations. The genus is poorly known taxonomically, and there are several species groups that are challenging to identify by morphological methods. In particular, two species found across the Pacific, C. maculatus Murray and C. oculatus Murray are frequently confused with each other. These two species are similar in size and colour, but

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Viho, Agbélénko Goudjo. "Étude de modèles markoviens en génétique et calculs des temps d'absorption." Grenoble 1, 1996. http://www.theses.fr/1996GRE10121.

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Cette thèse porte sur l'étude de la modélisation de l'évolution, par des processus markoviens, de l'effectif d'un gène donné au cours des générations dans une population à taille limitée. Dans une première partie, nous faisons un recensement des différents types de chaînes de Markov homogènes utilisées dans la littérature pour une telle modélisation. Quand la taille de la population est grande, il est possible d'obtenir la convergence de ces chaînes de Markov vers des processus de diffusion homogènes grâce aux théorèmes de convergence qui font l'objet de la deuxième partie. La troisième partie

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Erfmeier, Alexandra. "Ursachen des Invasionserfolges von Rhododendron ponticum L. auf den Britischen Inseln Einfluss von Habitat und Genotyp /." Doctoral thesis, [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=975033476.

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Fischer, Stephan. "Modélisation de l'évolution de la taille des génomes et de leur densité en gènes par mutations locales et grands réarrangements chromosomiques." Phd thesis, INSA de Lyon, 2013. http://tel.archives-ouvertes.fr/tel-00924831.

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Bien que de nombreuses séquences génomiques soient maintenant connues, les mécanismes évolutifs qui déterminent la taille des génomes, et notamment leur part d'ADN non codant, sont encore débattus. Ainsi, alors que de nombreux mécanismes faisant grandir les génomes (prolifération d'éléments transposables, création de nouveaux gènes par duplication, ...) sont clairement identifiés, les mécanismes limitant la taille des génomes sont moins bien établis. La sélection darwinienne pourrait directement défavoriser les génomes les moins compacts, sous l'hypothèse qu'une grande quantité d'ADN à répliqu

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Brink-Spalink, Rebekka. "Stochastic Models in Population Genetics: The Impact of Selection and Recombination." Doctoral thesis, 2015. http://hdl.handle.net/11858/00-1735-0000-0022-5F9A-D.

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Giorgi, Elena Edi. "A mathematical growth model of the viral population in early HIV-1 infections." 2011. https://scholarworks.umass.edu/dissertations/AAI3482705.

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In this thesis we develop a mathematical model to describe HIV-1 evolution during the first stages of infection (approximately within 40–60 days since onset), when one can assume exponential growth and random accumulation of mutations under a neutral drift. We analyze the Hamming distance (HD) distribution under different models (synchronous and asynchronous) in the absence of selection and recombination. In the second part of the thesis, we introduce recombination and develop a combinatorial approach to estimate the new HD distribution. We conclude describing a T statistic to test significanc

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Heuer, Benjamin. "Convergence of the Genealogy of the Spatial Cannings Model." Doctoral thesis, 2016. http://hdl.handle.net/11858/00-1735-0000-002B-7CA9-7.

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Groeneveld, Linn Fenna. "Species delimitation, phylogeography and population genetics of the endemic Malagasy dwarf lemurs (genus Cheirogaleus)." Doctoral thesis, 2008. http://hdl.handle.net/11858/00-1735-0000-000D-F23D-6.

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STUDENÁ, Lucie. "Aplikace matematických znalostí při výuce biologie." Master's thesis, 2018. http://www.nusl.cz/ntk/nusl-390973.

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The Theses deals with applications of mathematical knowledge in teaching biology and it is divided into four chapters. Each chapter is dedicated to another application: 1. Application of conditional probability in medical diagnostics, 2. Application of exponential function in population ecology, 3. Application of logic functions in mathematical modelation of neuron and 4. Aplication of binomial theorem and binomial distribution in genetics. Each application contains solved problems, a worksheet for students and a solution for each worksheet. Two application (1. and 2.) have been tested in teac

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Aston, Christopher Eric. "Statistical models for multilocus structures." Phd thesis, 1985. http://hdl.handle.net/1885/141088.

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45

Steinrücken, Matthias [Verfasser]. "Multiple merger coalescents and population genetic inference / vorgelegt von Matthias Steinrücken." 2009. http://d-nb.info/998939536/34.

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46

Ashander, Jaime. "Effects of parasite exchange between wild and farmed salmon." Master's thesis, 2010. http://hdl.handle.net/10048/1292.

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Human food production activities can dominate natural systems, altering ecological and evolutionary aspects of the environment. Disease-mediated interactions are of particular concern. For example, parasites may "spill-over'' from farms to wildlife. Parasites isolated on farms can evolve resistance to treatment chemicals , but "spill-back'' from wildlife to farms may alter evolutionary dynamics. Here, we consider exchange of parasites (Lepeophtheirus salmonis) between wild (Oncorhynchus gorbuscha) and farmed salmon. We derive and analyze discrete-time models that implicitly include wild salmo

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Fehren-Schmitz, Lars. "Molekularanthropologische Untersuchungen zur präkolumbischen Besiedlungsgeschichte des südlichen Perus am Beispiel der Palpa-Region." Doctoral thesis, 2008. http://hdl.handle.net/11858/00-1735-0000-0006-AD06-F.

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Whale, John W. "Population genetic analysis of the black blow fly Phormia regina (Meigen) (Diptera: Calliphoridae)." Thesis, 2015. http://hdl.handle.net/1805/6722.

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Indiana University-Purdue University Indianapolis (IUPUI)<br>The black blow fly, Phormia regina (Diptera: Calliphoridae), is a widely abundant fly autochthonous to North America. Like many other Calliphorids, P. regina plays a key role in several disciplines particularly in estimating post-mortem intervals (PMI). The aim of this work was to better understand the population genetic structure of this important ecological species using microsatellites from populations collected in the U.S. during 2008 and 2013. Additionally, it sought to determine the effect of limited genetic diversity on a quan

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Hao, Yangyang. "Computational modeling for identification of low-frequency single nucleotide variants." 2015. http://hdl.handle.net/1805/8891.

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Indiana University-Purdue University Indianapolis (IUPUI)<br>Reliable detection of low-frequency single nucleotide variants (SNVs) carries great significance in many applications. In cancer genetics, the frequencies of somatic variants from tumor biopsies tend to be low due to contamination with normal tissue and tumor heterogeneity. Circulating tumor DNA monitoring also faces the challenge of detecting low-frequency variants due to the small percentage of tumor DNA in blood. Moreover, in population genetics, although pooled sequencing is cost-effective compared with individual sequencing, poo

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Mader, Felix. "Räumliche, GIS-gestützte Analyse von Linientransektstichproben." Doctoral thesis, 2007. http://hdl.handle.net/11858/00-1735-0000-0006-B626-D.

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