Modeling Evolution Of Heterogeneous Populations
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Modeling Evolution Of Heterogeneous Populations
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Author : Irina Kareva
language : en
Publisher: Academic Press
Release Date : 2019-10-16
Modeling Evolution Of Heterogeneous Populations written by Irina Kareva and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-16 with Mathematics categories.
Modeling Evolution of Heterogeneous Populations: Theory and Applications describes, develops and provides applications of a method that allows incorporating population heterogeneity into systems of ordinary and discrete differential equations without significantly increasing system dimensionality. The method additionally allows making use of results of bifurcation analysis performed on simplified homogeneous systems, thereby building on the existing body of tools and knowledge and expanding applicability and predictive power of many mathematical models. - Introduces Hidden Keystone Variable (HKV) method, which allows modeling evolution of heterogenous populations, while reducing multi-dimensional selection systems to low-dimensional systems of differential equations - Demonstrates that replicator dynamics is governed by the principle of maximal relative entropy that can be derived from the dynamics of selection systems instead of being postulated - Discusses mechanisms behind models of both Darwinian and non-Darwinian selection - Provides examples of applications to various fields, including cancer growth, global demography, population extinction, tragedy of the commons and resource sustainability, among others - Helps inform differences in underlying mechanisms of population growth from experimental observations, taking one from experiment to theory and back
Probabilistic Models Of Population Evolution
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Author : Étienne Pardoux
language : en
Publisher: Springer
Release Date : 2016-06-17
Probabilistic Models Of Population Evolution written by Étienne Pardoux and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Mathematics categories.
This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications. Étienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud.
Genome Chaos
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Author : Henry H. Heng
language : en
Publisher: Academic Press
Release Date : 2019-05-25
Genome Chaos written by Henry H. Heng and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-25 with Medical categories.
Genome Chaos: Rethinking Genetics, Evolution, and Molecular Medicine transports readers from Mendelian Genetics to 4D-genomics, building a case for genes and genomes as distinct biological entities, and positing that the genome, rather than individual genes, defines system inheritance and represents a clear unit of selection for macro-evolution. In authoring this thought-provoking text, Dr. Heng invigorates fresh discussions in genome theory and helps readers reevaluate their current understanding of human genetics, evolution, and new pathways for advancing molecular and precision medicine. - Bridges basic research and clinical application and provides a foundation for re-examining the results of large-scale omics studies and advancing molecular medicine - Gathers the most pressing questions in genomic and cytogenomic research - Offers alternative explanations to timely puzzles in the field - Contains eight evidence-based chapters that discuss 4d-genomics, genes and genomes as distinct biological entities, genome chaos and macro-cellular evolution, evolutionary cytogenetics and cancer, chromosomal coding and fuzzy inheritance, and more
Modeling In Ecology And Epidemiology
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Author : Md. Shahidul Islam
language : en
Publisher: Frontiers Media SA
Release Date : 2024-10-23
Modeling In Ecology And Epidemiology written by Md. Shahidul Islam and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-23 with Science categories.
Nature is filled with biotic organisms (bacteria, insects, plants, animals, etc.) and B-biotic elements of the environment (air, soil, and water). The life cycle of biotic elements is entirely dependent on the abiotic elements. Pathogens like viruses, bacteria, or other infectious agents can cause diseases in living creatures. The pathogens are capable of causing infectious disease directly, or they can also spread through the other multiple species (known as the Vector). Zoonosis is an infectious disease that has jumped from non-human animals to humans. Zoonotic pathogens may be bacterial, viral, or parasitic, involve unconventional agents, and can spread to humans through direct contact with food, water, or the environment. Currently, highly infectious human populations of diseases include HIV, SARS-CoV-2 (Covid-19), H1N1 flu (swine flu), Dengue (Vector-borne), and so forth. Another essential feature is the pollutant of the environment (like the pesticide used for agricultural purposes and oil in the seawater) that spread among the animals through the food. Therefore, it is crucial to study infectious disease dynamics in ecological systems and human populations.
From Ecology To Cancer Biology And Back Again
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Author : Frederick R. Adler
language : en
Publisher: Frontiers Media SA
Release Date : 2022-03-08
From Ecology To Cancer Biology And Back Again written by Frederick R. Adler and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-08 with Science categories.
Models And Methods For Biological Evolution
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Author : Gilles Didier
language : en
Publisher: John Wiley & Sons
Release Date : 2024-04-10
Models And Methods For Biological Evolution written by Gilles Didier and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-10 with Science categories.
Biological evolution is the phenomenon concerning how species are born, are transformed or disappear over time. Its study relies on sophisticated methods that involve both mathematical modeling of the biological processes at play and the design of efficient algorithms to fit these models to genetic and morphological data. Models and Methods for Biological Evolution outlines the main methods to study evolution and provides a broad overview illustrating the variety of formal approaches used, notably including combinatorial optimization, stochastic models and statistical inference techniques. Some of the most relevant applications of these methods are detailed, concerning, for example, the study of migratory events of ancient human populations or the progression of epidemics. This book should thus be of interest to applied mathematicians interested in central problems in biology, and to biologists eager to get a deeper understanding of widely used techniques of evolutionary data analysis.
Bio Inspired Models Of Network Information And Computing Systems
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Author : Junichi Suzuki
language : en
Publisher: Springer
Release Date : 2012-07-25
Bio Inspired Models Of Network Information And Computing Systems written by Junichi Suzuki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 5th International ICST Conference on Bio-Inspired Models of Network, Information, and Computing Systems (BIONETICS 2010) which was held in Boston, USA, in December 2010. The 78 revised full papers were carefully reviewed and selected from numerous submissions for inclusion in the proceedings. BIONETICS 2010 aimed to provide the understanding of the fundamental principles and design strategies in biological systems and leverage those understandings to build bio-inspired systems.
Computational Economics Heterogeneous Agent Modeling
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Author : Cars Hommes
language : en
Publisher: Elsevier
Release Date : 2018-06-27
Computational Economics Heterogeneous Agent Modeling written by Cars Hommes and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-27 with Business & Economics categories.
Handbook of Computational Economics: Heterogeneous Agent Modeling, Volume Four, focuses on heterogeneous agent models, emphasizing recent advances in macroeconomics (including DSGE), finance, empirical validation and experiments, networks and related applications. Capturing the advances made since the publication of Volume Two (Tesfatsion & Judd, 2006), it provides high-level literature with sections devoted to Macroeconomics, Finance, Empirical Validation and Experiments, Networks, and other applications, including Innovation Diffusion in Heterogeneous Populations, Market Design and Electricity Markets, and a final section on Perspectives on Heterogeneity. - Helps readers fully understand the dynamic properties of realistically rendered economic systems - Emphasizes detailed specifications of structural conditions, institutional arrangements and behavioral dispositions - Provides broad assessments that can lead researchers to recognize new synergies and opportunities
Mathematical Models In Population Biology And Epidemiology
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Author : Fred Brauer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-09
Mathematical Models In Population Biology And Epidemiology written by Fred Brauer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-09 with Mathematics categories.
The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.
Game Theoretical Models In Biology
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Author : Mark Broom
language : en
Publisher: CRC Press
Release Date : 2022-08-03
Game Theoretical Models In Biology written by Mark Broom and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-03 with Mathematics categories.
Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology, Second Edition presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use Python to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behaviour, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modelling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modelling of these diverse biological phenomena. In this thoroughly revised new edition, the authors have added three new chapters on the evolution of structured populations, biological signalling games, and a topical new chapter on evolutionary models of cancer. There are also new sections on games with time constraints that convert simple games to potentially complex nonlinear ones; new models on extortion strategies for the Iterated Prisoner’s Dilemma and on social dilemmas; and on evolutionary models of vaccination, a timely section given the current Covid pandemic. Features Presents a wide range of biological applications of game theory. Suitable for researchers and professionals in mathematical biology and the life sciences, and as a text for postgraduate courses in mathematical biology. Provides numerous examples, exercises, and Python code.