Download or read book A New Mathematical Framework for the Study of Linkage and Selection written by S. Shahshahani and published by American Mathematical Soc.. This book was released on 1979 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A continuous multi-locus model describing the evolution of a large population of a diploid organism is studied. It is assumed that only the forces of natural selection and recombination are operating. The use of a non-Euclidean metric greatly clarifies the dynamical properties of the system of differential equations evolved.
Download or read book A New Mathematical Framework for the Study of Linkage and Selection written by American Mathematical Society and published by . This book was released on 1979 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Now Mathematical Framework for the Study of Linkage and Selection written by S. Shahshahani and published by . This book was released on 1979 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Game Theory written by Petyon Young and published by Elsevier. This book was released on 2014-10-01 with total page 1025 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ability to understand and predict behavior in strategic situations, in which an individual’s success in making choices depends on the choices of others, has been the domain of game theory since the 1950s. Developing the theories at the heart of game theory has resulted in 8 Nobel Prizes and insights that researchers in many fields continue to develop. In Volume 4, top scholars synthesize and analyze mainstream scholarship on games and economic behavior, providing an updated account of developments in game theory since the 2002 publication of Volume 3, which only covers work through the mid 1990s. Focuses on innovation in games and economic behavior Presents coherent summaries of subjects in game theory Makes details about game theory accessible to scholars in fields outside economics
Download or read book Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on with total page 1550 pages. Available in PDF, EPUB and Kindle. Book excerpt: First multi-year cumulation covers six years: 1965-70.
Download or read book Dynamical Models in Biology written by Miklós Farkas and published by Academic Press. This book was released on 2001-06-15 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Models in Biology offers an introduction to modern mathematical biology. This book provides a short introduction to modern mathematical methods in modeling dynamical phenomena and treats the broad topics of population dynamics, epidemiology, evolution, immunology, morphogenesis, and pattern formation. Primarily employing differential equations, the author presents accessible descriptions of difficult mathematical models. Recent mathematical results are included, but the author's presentation gives intuitive meaning to all the main formulae. Besides mathematicians who want to get acquainted with this relatively new field of applications, this book is useful for physicians, biologists, agricultural engineers, and environmentalists. Key Topics Include: Chaotic dynamics of populations The spread of sexually transmitted diseases Problems of the origin of life Models of immunology Formation of animal hide patterns The intuitive meaning of mathematical formulae explained with many figures Applying new mathematical results in modeling biological phenomena Miklos Farkas is a professor at Budapest University of Technology where he has researched and instructed mathematics for over thirty years. He has taught at universities in the former Soviet Union, Canada, Australia, Venezuela, Nigeria, India, and Columbia. Prof. Farkas received the 1999 Bolyai Award of the Hungarian Academy of Science and the 2001 Albert Szentgyorgyi Award of the Hungarian Ministry of Education. A 'down-to-earth' introduction to the growing field of modern mathematical biology Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra
Download or read book The Geometry of Population Genetics written by Ethan Akin and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The differential equations which model the action of selection and recombination are nonlinear equations which are impossible to It is even difficult to describe in general the solve explicitly. Recently, Shahshahani began using qualitative behavior of solutions. differential geometry to study these equations [28]. with this mono graph I hope to show that his ideas illuminate many aspects of pop ulation genetics. Among these are his proof and clarification of Fisher's Fundamental Theorem of Natural Selection and Kimura's Maximum Principle and also the effect of recombination on entropy. We also discover the relationship between two classic measures of 2 genetic distance: the x measure and the arc-cosine measure. There are two large applications. The first is a precise definition of the biological concept of degree of epistasis which applies to general (i.e. frequency dependent) forms of selection. The second is the unexpected appearance of cycling. We show that cycles can occur in the two-locus-two-allele model of selection plus recombination even when the fitness numbers are constant (i.e. no frequency dependence). This work is addressed to two different kinds of readers which accounts for its mode of organization. For the biologist, Chapter I contains a description of the entire work with brief indications of a proof for the harder results. I imagine a reader with some familiarity with linear algebra and systems of differential equations. Ideal background is Hirsch and Smale's text [15].
Download or read book New Trends in Dynamic Games and Applications written by Jan G. Olsder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of dynamic games is very rich in nature and very much alive! If the reader does not already agree with this statement, I hope he/she will surely do so after having consulted the contents of the current volume. The activities which fall under the heading of 'dynamic games' cannot easily be put into one scientific discipline. On the theoretical side one deals with differential games, difference games (the underlying models are described by differential, respec tively difference equations) and games based on Markov chains, with determin istic and stochastic games, zero-sum and nonzero-sum games, two-player and many-player games - all under various forms of equilibria. On the practical side, one sees applications to economics (stimulated by the recent Nobel prize for economics which went to three prominent scientists in game theory), biology, management science, and engineering. The contents of this volume are primarily based on selected presentations made at the Sixth International Symposium on Dynamic Games and Applica tions, held in St Jovite, Quebec, Canada, 13-15 July 1994. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival technical journals. This conference, as well as its predecessor which was held in Grimentz, 1992, took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. One of the activities of the ISDG is the publication of these Annals. The contributions in this volume have been grouped around five themes.
Download or read book Experiences in the Biocontinuum written by Richard L. Summers and published by Cambridge Scholars Publishing. This book was released on 2020-08-10 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central question in the biological sciences for the past 100 years has concerned an understanding of how living systems differ from other general physical phenomena and what makes these systems unique. With new developments in the fields of nonequilibrium thermodynamics, systems theory, chaos, and information theory over the past few decades, there has been growing interest in finally answering the question first posed by Erwin Schrödinger in the 1940s concerning the true scientific nature of living systems. Similarly, there is also increasing interest within the biologic community for a more holistic and non-reductionist methodology. The approach followed in this book builds on a foundation of information theory and semiotics while integrating basic thermodynamic considerations and systems theory to form a singular unifying concept that is proposed to be the essential process of living systems. However, the premise presented is much more than simply the exposition of a new hypothesis. This book describes the logical progression of thought incorporating a diverse array of established scientific ideas that were used in the conceptualization of a dynamic mathematical framework that can be employed as a novel analytic means for the study of living systems and their fundamental processes.
Download or read book Progress in Information Geometry written by Frank Nielsen and published by Springer Nature. This book was released on 2021-03-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. The book project was initiated following discussions at the international conference GSI’2019 – Geometric Science of Information that was held at ENAC, Toulouse (France).
Download or read book Caste and Ecology in the Social Insects MPB 12 Volume 12 written by George F. Oster and published by Princeton University Press. This book was released on 2020-03-31 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this pathbreaking and far-reaching work George Oster and Edward Wilson provide the first fully developed theory of caste evolution among the social insects. Furthermore, in studying the effects of natural selection in generally increasing the insects' ergonomic efficiency, they go beyond the concentration of previous researchers on the physiological mechanisms of the insects and turn our attention instead to the scale and efficiency of the insects' division of labor. Recognizing that the efficiency of the insect colony is based on a complex fitting of the division of labor to many simultaneous needs, including those imposed by the distribution of resources and enemies around the nest, Professors Oster and Wilson are able to construct a series of mathematical models to characterize the agents of natural selection that promote particular caste systems. The social insects play a key role in the subject of sociobiology because their social organization is so rigid and can be related to genetic evolution. Because of this important consideration, the authors' work has consequences not only for entomology but also for general evolutionary theory.
Download or read book Differential Geometry in Statistical Inference written by Shun'ichi Amari and published by IMS. This book was released on 1987 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Self Modifying Systems in Biology and Cognitive Science written by G. Kampis and published by Elsevier. This book was released on 2013-10-22 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this book is the self-generation of information by the self-modification of systems. The author explains why biological and cognitive processes exhibit identity changes in the mathematical and logical sense. This concept is the basis of a new organizational principle which utilizes shifts of the internal semantic relations in systems. There are mathematical discussions of various classes of systems (Turing machines, input-output systems, synergetic systems, non-linear dynamics etc), which are contrasted with the author's new principle. The most important implications of this include a new conception on the nature of information and which also provides a new and coherent conceptual view of a wide class of natural systems. This book merits the attention of all philosophers and scientists concerned with the way we create reality in our mathematical representations of the world and the connection those representations have with the way things really are.
Download or read book The Mathematics of Darwin s Legacy written by Fabio A. C. C. Chalub and published by Springer Science & Business Media. This book was released on 2011-06-24 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a general overview of mathematical models in the context of evolution. It covers a wide range of topics such as population genetics, population dynamics, speciation, adaptive dynamics, game theory, kin selection, and stochastic processes. Written by leading scientists working at the interface between evolutionary biology and mathematics the book is the outcome of a conference commemorating Charles Darwin's 200th birthday, and the 150th anniversary of the first publication of his book "On the origin of species". Its chapters vary in format between general introductory and state-of-the-art research texts in biomathematics, in this way addressing both students and researchers in mathematics, biology and related fields. Mathematicians looking for new problems as well as biologists looking for rigorous description of population dynamics will find this book fundamental.
Download or read book Population Games and Evolutionary Dynamics written by William H. Sandholm and published by MIT Press. This book was released on 2010-12-17 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary game theory studies the behaviour of large populations of strategically interacting agents & is used by economists to predict in settings where traditional assumptions about the rationality of agents & knowledge may be inapplicable.
Download or read book Mathematical Population Genetics 1 written by Warren J. Ewens and published by Springer Science & Business Media. This book was released on 2004-01-09 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of a planned two-volume work discussing the mathematical aspects of population genetics with an emphasis on evolutionary theory. This volume draws heavily from the author’s 1979 classic, but it has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, such as the theory of molecular population genetics.
Download or read book Molecular Evolution on Rugged Landscapes written by Alan S. Perelson and published by CRC Press. This book was released on 2018-03-08 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays out a number of the general issues concerning the structure of rugged fitness landscapes and examines both the history and the current status of experimental work on somatic mutation and the maturation of the immune response.
