The Quasispecies Equation And Classical Population Models

Author : Raphaël Cerf
Publisher : Springer Nature
ISBN 13 : 3031086635
Total Pages : 236 pages
Book Rating : 4.32/5 ( download)

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Download or read book The Quasispecies Equation and Classical Population Models written by Raphaël Cerf and published by Springer Nature. This book was released on 2022-08-31 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation which describes the mutation-selection equilibrium in Manfred Eigen’s famous quasispecies model. A detailed analysis of this equation is given under the assumptions of finite genotype space, sharp peak landscape, and class-dependent fitness landscapes. Different probabilistic representation formulae are derived for its solution, involving classical combinatorial quantities like Stirling and Euler numbers. It is shown how quasispecies and error threshold phenomena emerge in finite population models, and full mathematical proofs are provided in the case of the Wright–Fisher model. Along the way, exact formulas are obtained for the quasispecies distribution in the long chain regime, on the sharp peak landscape and on class-dependent fitness landscapes. Finally, several other classical population models are analyzed, with a focus on their dynamical behavior and their links to the quasispecies equation. This book will be of interest to mathematicians and theoretical ecologists/biologists working with finite population models.

Author : J.C. Frauenthal
Publisher : Springer Science & Business Media
ISBN 13 : 1468473220
Total Pages : 195 pages
Book Rating : 4.23/5 ( download)

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Download or read book Introduction to Population Modeling written by J.C. Frauenthal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text of this monograph represents the author's lecture notes from a course taught in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook in the Spring of 1977. On account of its origin as lecture notes, some sections of the text are telegraphic in style while other portions are overly detailed. This stylistic foible has not been modified as it does not appear to detract seriously from the readability and it does help to indicate which topics were stressed. The audience for the course at Stony Brook was composed almost entirely of fourth year undergraduates majoring in the mathematical sciences. All of these students had studied at least four semesters of calculus and one of probability; few had any prior experience with either differential equations or ecology. It seems prudent to point out that the author's background is in engineering and applied mathematics and not in the biological sciences. It is hoped that this is not painfully obvious. -vii- The focus of the monograph is on the formulation and solution of mathematical models; it makes no pretense of being a text in ecology. The idea of a population is employed mainly as a pedagogic tool, providing unity and intuitive appeal to the varied mathematical ideas introduced. If the biological setting is stripped away, what remains can be interpreted as topics on the qualitative behavior of differential and difference equations.

Author : O Arino
Publisher : World Scientific
ISBN 13 : 981454597X
Total Pages : 910 pages
Book Rating : 4.76/5 ( download)

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Download or read book Advances In Mathematical Population Dynamics -- Molecules, Cells And Man - Proceedings Of The 4th International Conference On Mathematical Population Dynamics written by O Arino and published by World Scientific. This book was released on 1997-12-04 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of refereed papers presented at the 4th International Conference on Mathematical Population Dynamics. The selection of papers and their organization were made by the following persons: O Arino, D Axelrod, V Capasso, W Fitzgibbon, P Jagers, M Kimmel, D Kirschner, C Mode, B Novak, R Sachs, W Stephan, A Swierniak and H Thieme.It features some of the new trends in cell and human population dynamics. The main link between the two traits is that human populations of concern here are essentially those subject to cell diseases, either the processes of anarchic proliferation or those by which some cell lines are killed by an infectious agent.The volume is divided into 3 main parts. Each part is subdivided into chapters, each chapter concentrating on a specific aspect. Each aspect is illustrated by one or several examples, developed in sections contributed by several authors. A detailed introduction for each part will enable the reader to refer to chapters of interest. An index and a bibliography for each part is also included for easy reference.This book will be useful for those interested in the subject matter.

Author : Alison Etheridge
Publisher : Springer Science & Business Media
ISBN 13 : 3642166318
Total Pages : 129 pages
Book Rating : 4.10/5 ( download)

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Download or read book Some Mathematical Models from Population Genetics written by Alison Etheridge and published by Springer Science & Business Media. This book was released on 2011-01-07 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically.

Author : Esteban Domingo
Publisher : Springer
ISBN 13 : 3319238981
Total Pages : 357 pages
Book Rating : 4.82/5 ( download)

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Download or read book Quasispecies: From Theory to Experimental Systems written by Esteban Domingo and published by Springer. This book was released on 2016-03-18 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together recent developments in quasispecies theory extended to variable environments and practical applications in elucidating viral dynamics and treatment designs. In particular, the existence of an error threshold in rugged fitness landscapes has opened the way to a new antiviral strategy termed lethal mutagenesis, which is now under intensive theoretical, experimental and clinical investigation. As such the book explains how an understanding of quasispecies dynamics within infected organisms has increased our knowledge of viral disease events. From a clinical perspective, population dynamics highlights important problems for viral disease control, such as the selection of drug-resistant mutants that often accompanies treatment failures, and suggests means of increasing the effectiveness of antiviral treatments. The book is intended for students and scientists interested in basic and applied aspects of biophysics, chemistry, biology, evolution and medical virology.

Author : Faina Berezovskaya
Publisher : Springer Nature
ISBN 13 : 3030157156
Total Pages : 268 pages
Book Rating : 4.59/5 ( download)

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Download or read book Advanced Mathematical Methods in Biosciences and Applications written by Faina Berezovskaya and published by Springer Nature. This book was released on 2019-09-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring contributions from experts in mathematical biology and biomedical research, this edited volume covers a diverse set of topics on mathematical methods and applications in the biosciences. Topics focus on advanced mathematical methods, with chapters on the mathematical analysis of the quasispecies model, Arnold’s weak resonance equation, bifurcation analysis, and the Tonnelier-Gerstner model. Special emphasis is placed on applications such as natural selection, population heterogeneity, polyvariant ontogeny in plants, cancer dynamics, and analytical solutions for traveling pulses and wave trains in neural models. A survey on quasiperiodic topology is also presented in this book. Carefully peer-reviewed, this volume is suitable for students interested in interdisciplinary research. Researchers in applied mathematics and the biosciences will find this book an important resource on the latest developments in the field. In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration.

Author : R. M. Nisbet
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.95/5 ( download)

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Download or read book Modelling Fluctuating Populations written by R. M. Nisbet and published by John Wiley & Sons. This book was released on 1982 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Author : Esteban Domingo
Publisher : Academic Press
ISBN 13 : 0128163321
Total Pages : 426 pages
Book Rating : 4.20/5 ( download)

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Download or read book Virus as Populations written by Esteban Domingo and published by Academic Press. This book was released on 2019-11-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Virus as Composition, Complexity, Quasispecies, Dynamics, and Biological Implications, Second Edition, explains the fundamental concepts surrounding viruses as complex populations during replication in infected hosts. Fundamental phenomena in virus behavior, such as adaptation to changing environments, capacity to produce disease, and the probability to be transmitted or respond to treatment all depend on virus population numbers. Concepts such as quasispecies dynamics, mutations rates, viral fitness, the effect of bottleneck events, population numbers in virus transmission and disease emergence, and new antiviral strategies are included. The book's main concepts are framed by recent observations on general virus diversity derived from metagenomic studies and current views on the origin and role of viruses in the evolution of the biosphere. Features current views on key steps in the origin of life and origins of viruses Includes examples relating ancestral features of viruses with their current adaptive capacity Explains complex phenomena in an organized and coherent fashion that is easy to comprehend and enjoyable to read Considers quasispecies as a framework to understand virus adaptability and disease processes

Author : Esteban Domingo
Publisher : Academic Press
ISBN 13 : 0128009942
Total Pages : 428 pages
Book Rating : 4.49/5 ( download)

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Download or read book Virus as Populations written by Esteban Domingo and published by Academic Press. This book was released on 2015-09-25 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Virus as Populations: Composition, Complexity, Dynamics, and Biological Implications explains fundamental concepts that arise from regarding viruses as complex populations when replicating in infected hosts. Fundamental phenomena in virus behavior, such as adaptation to changing environments, capacity to produce disease, probability to be transmitted or response to treatment, depend on virus population numbers and in the variations of such population numbers. Concepts such as quasispecies dynamics, mutations rates, viral fitness, the effect of bottleneck events, population numbers in virus transmission and disease emergence, new antiviral strategies such as lethal mutagenesis, and extensions of population heterogeneity to nonviral systems are included. These main concepts of the book are framed in recent observations on general virus diversity derived from metagenomic studies, and current views on the origin of viruses and the role of viruses in the evolution of the biosphere. Features current views on the key steps in the origin of life and origins of viruses Includes examples relating ancestral features of viruses with their current adaptive capacity Explains complex phenomena in an organized and coherent fashion that is easy to comprehend and enjoyable to read Considers quasispecies as a framework to understand virus adaptability and disease processes

Author : Ioannis Caragiannis
Publisher : Springer Nature
ISBN 13 : 3030353893
Total Pages : 357 pages
Book Rating : 4.96/5 ( download)

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Download or read book Web and Internet Economics written by Ioannis Caragiannis and published by Springer Nature. This book was released on 2019-11-21 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Conference on Web and Internet Economics, WINE 2019, held in New York City, USA, in December 2019. The 23 revised full papers presented were carefully reviewed and selected from 111 submissions. T The papers reflect the work of researchers in theoretical computer science, artificial intelligence, and microeconomics who have joined forces to tackle problems at the intersection of computation, game theory and economics.