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Evolutionary Dynamics: the Mathematics of Genes and Traits

Evolutionary Dynamics: the Mathematics of Genes and Traits


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About the Book

This beautifully illustrated and stimulating book develops an understanding of the gene-to-trait problem in the context of evolutionary dynamics, from the modern perspective of integrative biology. This gene-to-trait problem lies at the heart of a great many questions in biology, evolutionary or otherwise. The author presents both elementary and advanced material in a way that brings out how the gene-to-trait problem is related to both bioinformatics and mathematical models of biological systems. Key ideas and techniques that underlie some of the most widely-used bioinformatics methods are discussed in this integrative context. A range of examples of biomathematical models is developed in an evolutionary framework. The book covers the standard theories of evolutionary genetics and adaptive dynamics. Bioinformatics techniques are discussed from the perspective of sequence analysis (alignment, hidden-Markov models, tree inference, and sequence-to-function mapping) and quantitative trait analysis. The two strands of evolutionary dynamics and bioinformatics are then brought together in a chapter on the evolutionary dynamics of quantitative traits, which leads to a number of insights that become the basis for a general definition of fitness, discussed in the context of the question whether it is valid to argue from optimality criteria in an evolutionary context.Written for researchers and postgraduate students with a background in physics or applied mathematics and a desire to apply their skills to problems in the life sciences the book includes a number of introductory chapters on genetics and cell biology, phylogeny and development, mathematical probability, and inferential statistics. In addition, appendices summarise background material on speciation and systematics, controversies surrounding evolutionary thinking, dynamical systems, optimality arguments, as well as statistical and thermal physics.

Table of Contents:
1 Introduction1.1 Of snails and snakes1.2 The three key elements1.3 Stochasticity1.5 Organisation of this bookFurther reading2 Cell biology and molecular genetics2.1 Cellular architecture and proliferation2.2 DNA, RNA, and proteins2.3 MetabolismFurther readingExercises3 Phylogeny and development3.1 Phylogenic trees3.2 DevelopmentFurther readingExercises4 Elementary evolutionary dynamics4.1 Conceptual challenges and the standard assumption4.2 Haploids4.3 Diploids4.4 Projection onto tightly linked clusters of loci4.5 Drift and fixationFurther readingExercises5 Probability and measurement 5.1 Fundamental laws of probability5.2 Random variables and their distributions5.3 Expectation and variance5.4 Common distributions and their properties5.5 Measurement scalesFurther readingExercises6 Statistical inference and estimation 6.1 The essential ideas6.2 Justifying the likelihood ratio principle6.3 Linking alleles to traits6.4 Microarrays: the stepping down procedure6.5 Analysis of bivariate dataFurther readingExercises7 Sequence, structure, and function7.1 Principles of dynamic programming7.2 Sequence phylogenies7.3 Sequence alignment7.4 Deep structure7.5 From sequence to functionFurther readingExercises8 Analysis of quantitative trait loci8.1 Recombinant distributions8.2 Genetic markers and mapping8.3 The number of quantitative trait lociFurther readingExercises9 Evolutionary dynamics of QTL9.1 Heritability9.2 Dynamics of the additive genetic component9.3 The persistence of sexFurther readingExercises10 Adaptive dynamics and speciation10.1 Adaptive dynamics10.2 Fisher's law for adaptive dynamics10.3 Adaptive radiations and mass extinctionsFurther readingExercises11 Traits as objects of selection11.1 Regimenting traits11.2 Scope and limitations of the additive genetic modelFurther readingExercises12 Fitness and optimality12.1 Evolution of protandry in butteries12.2 Evolution of juvenility12.3 Evolution of homeostasis12.4 Fitness probesExercisesA Species, speciation, and systematicsA.1 Species conceptsA.2 SystematicsA.3 Body plansA.4 Distributional rulesB Dangerous ideasB.1 Functional biology: pluralism and teleologyB.2 Progress and complexityB.3 Evolution and ideologyC DynamicsC.1 Basic definitionsC.2 Deterministic systemsC.3 Stochastic systemsFurther readingD Constrained optimisationD.1 Lagrange multipliersD.2 Optimal controlFurther readingE Thermal physicsE.1 Statistical mechanicsE.2 ThermodynamicsFurther reading

About the Author :
Hugo van den Berg is a lecturer at the University of Warwick's Mathematics Institute where he specialises in mathematical biology and teaches courses in mathematical, quantitative and system biology. His research interests include the applications of mathematical and statistical biology to the dynamics and efficacy of the cellular immune system.

Review :
The book is written in an accessible style. and although it requires an understanding of calculus and statistical concepts, it is appropriate as an interdisciplinary bridge between mathematics, physics and biology. Irina Ioana Mohorianu 2016 Zentralblatt MATH 1337 - 1, FIZ Karlsruhe – Leibniz Institute for Information Infrastructure.


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Product Details
  • ISBN-13: 9780750310949
  • Publisher: Institute of Physics Publishing
  • Publisher Imprint: Institute of Physics Publishing
  • Language: English
  • ISBN-10: 0750310944
  • Publisher Date: 29 May 2015
  • Binding: Digital (delivered electronically)
  • No of Pages: 538


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