The Quasispecies Equation And Classical Population Models
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The Quasispecies Equation And Classical Population Models
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Author : Raphaël Cerf
language : en
Publisher: Springer Nature
Release Date : 2022-07-30
The Quasispecies Equation And Classical Population Models written by Raphaël Cerf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-30 with Mathematics categories.
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.
Advances In Mathematical Population Dynamics Molecules Cells And Man Proceedings Of The 4th International Conference On Mathematical Population Dynamics
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Author : O Arino
language : en
Publisher: World Scientific
Release Date : 1997-12-04
Advances In Mathematical Population Dynamics Molecules Cells And Man Proceedings Of The 4th International Conference On Mathematical Population Dynamics written by O Arino and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-04 with Mathematics categories.
This book presents a new approach to the subject of cosmology. It fully exploits Einstein's theory of general relativity. It is found that the most general formal expression of the theory replaces the (10-component) tensor formalism with a (16-component) quaternion formalism. This leads to a unified field theory, where one field incorporates gravitation and electromagnetism. The theory predicts an oscillating universe cosmology with a spiral configuration. Dark matter is explained in terms of a sea of particle-antiparticle pairs, each in a particular (derived) ground state. This leads to an explanation for the separation between matter and antimatter in the universe. There is a brief discussion of black holes and pulsars. The final chapter delves into philosophical considerations such as the different types of ‘truth’, positivism versus realism and a discussion of the role of the Mach principle in physics and cosmology./a
Quasispecies From Theory To Experimental Systems
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Author : Esteban Domingo
language : en
Publisher: Springer
Release Date : 2016-03-18
Quasispecies From Theory To Experimental Systems written by Esteban Domingo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-18 with Medical categories.
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.
Advanced Mathematical Methods In Biosciences And Applications
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Author : Faina Berezovskaya
language : en
Publisher: Springer Nature
Release Date : 2019-09-19
Advanced Mathematical Methods In Biosciences And Applications written by Faina Berezovskaya and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-19 with Mathematics categories.
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.
Virus As Populations
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Author : Esteban Domingo
language : en
Publisher: Academic Press
Release Date : 2015-09-25
Virus As Populations written by Esteban Domingo and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-25 with Science categories.
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
Virus As Populations
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Author : Esteban Domingo
language : en
Publisher: Academic Press
Release Date : 2019-11-06
Virus As Populations written by Esteban Domingo and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-06 with Science categories.
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
Physical Review
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Author :
language : en
Publisher:
Release Date : 1996-10
Physical Review written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10 with Fluids categories.
Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.
Chemical Evolution And The Origin Of Life
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Author : Horst Rauchfuss
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-15
Chemical Evolution And The Origin Of Life written by Horst Rauchfuss 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 2008-10-15 with Nature categories.
How did life begin on the early Earth? We know that life today is driven by the universal laws of chemistry and physics. By applying these laws over the past ?fty years, en- mous progress has been made in understanding the molecular mechanisms that are the foundations of the living state. For instance, just a decade ago, the ?rst human genome was published, all three billion base pairs. Using X-ray diffraction data from crystals, we can see how an enzyme molecule or a photosynthetic reaction center steps through its catalytic function. We can even visualize a ribosome, central to all life, translate - netic information into a protein. And we are just beginning to understand how molecular interactions regulate thousands of simultaneous reactions that continuously occur even in the simplest forms of life. New words have appeared that give a sense of this wealth of knowledge: The genome, the proteome, the metabolome, the interactome. But we can’t be too smug. We must avoid the mistake of the physicist who, as the twentieth century began, stated con?dently that we knew all there was to know about physics, that science just needed to clean up a few dusty corners. Then came relativity, quantum theory, the Big Bang, and now dark matter, dark energy and string theory. Similarly in the life sciences, the more we learn, the better we understand how little we really know. There remains a vast landscape to explore, with great questions remaining.
Origins
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Author : Joseph Seckbach
language : en
Publisher: Springer
Release Date : 2006-05-07
Origins written by Joseph Seckbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-07 with Technology & Engineering categories.
In this book forty eminent scientists examine the astrobiological origins of life and the emergence of biodiversity in extreme environments. The coverage includes extremophiles: microbes living in hostile conditions of high temperature, psychrophilic, UV radiation, and halophilic environments. Also discussed are the origin and history of Martian water, and the possible biogeochemistry inside Titan.
Evolutionary Dynamics
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Author : Martin A. Nowak
language : en
Publisher: Harvard University Press
Release Date : 2006-09-29
Evolutionary Dynamics written by Martin A. Nowak and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-29 with Science categories.
Evolution is the one theory that transcends all of biology. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His book makes a case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.