Network Models in Population Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 3642811345
Total Pages : 414 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Network Models in Population Biology by : E. R. Lewis

Download or read book Network Models in Population Biology written by E. R. Lewis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of one phase of an upper-division course on quantitative ecology, given each year for the past eight at Berkeley. I am most grateful to the students in that course and to many graduate students in the Berkeley Department of Zoology and Colleges of Engineering and Natural Resources whose spirited discussions inspired much of the book's content. I also am deeply grateful to those faculty colleagues with whom, at one time or another, I have shared courses or seminars in ecology or population biology, D.M. Auslander, L. Demetrius, G. Oster, O.H. Paris, F.A. Pitelka, A.M. Schultz, Y. Takahashi, D.B. Tyler, and P. Vogelhut, all of whom contributed substantially to the development of my thinking in those fields, to my Depart mental colleagues E. Polak and A.J. Thomasian, who guided me into the litera ture on numerical methods and stochastic processes, and to the graduate students who at one time or another have worked with me on population-biology projects, L.M. Brodnax, S-P. Chan, A. Elterman, G.C. Ferrell, D. Green, C. Hayashi, K-L. Lee, W.F. Martin Jr., D. May, J. Stamnes, G.E. Swanson, and I. Weeks, who, together, undoubtedly provided me with the greatest inspiration. I am indebted to the copy-editing and production staff of Springer-Verlag, especially to Ms. M. Muzeniek, for their diligence and skill, and to Mrs. Alice Peters, biomathematics editor, for her patience.

Network Models in Population Biology

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Publisher : Springer
ISBN 13 : 9780387082141
Total Pages : 0 pages
Book Rating : 4.0/5 (821 download)

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Book Synopsis Network Models in Population Biology by : Edwin R. Lewis

Download or read book Network Models in Population Biology written by Edwin R. Lewis and published by Springer. This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Math and Bio 2010

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Publisher : MAA
ISBN 13 : 9780883858189
Total Pages : 182 pages
Book Rating : 4.8/5 (581 download)

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Book Synopsis Math and Bio 2010 by : Lynn Arthur Steen

Download or read book Math and Bio 2010 written by Lynn Arthur Steen and published by MAA. This book was released on 2005 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Math and bio 2010 grew out of 'Meeting the Challenges: Education across the Biological, Mathematical and Computer Sciences,' a joint project of the Mathematical Association of America (MAA), the National Science Foundation Division of Undergraduate Education (NSF DUE), the National Institute of General Medical Sciences (NIGMS), the American Association for the Advancement of Science (AAAS), and the American Society for Microbiology (ASM)."--Foreword, p. vi

Integrated Population Biology and Modeling

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Publisher : Elsevier
ISBN 13 : 0444640738
Total Pages : 633 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Integrated Population Biology and Modeling by :

Download or read book Integrated Population Biology and Modeling written by and published by Elsevier. This book was released on 2018-09-26 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrated Population Biology and Modeling: Part A offers very complex and precise realities of quantifying modern and traditional methods of understanding populations and population dynamics. Chapters cover emerging topics of note, including Longevity dynamics, Modeling human-environment interactions, Survival Probabilities from 5-Year Cumulative Life Table Survival Ratios (Tx+5/Tx): Some Innovative Methodological Investigations, Cell migration Models, Evolutionary Dynamics of Cancer Cells, an Integrated approach for modeling of coastal lagoons: A case for Chilka Lake, India, Population and metapopulation dynamics, Mortality analysis: measures and models, Stationary Population Models, Are there biological and social limits to human longevity?, Probability models in biology, Stochastic Models in Population Biology, and more. Covers emerging topics of note in the subject matter Presents chapters on Longevity dynamics, Modeling human-environment interactions, Survival Probabilities from 5-Year Cumulative Life Table Survival Ratios (Tx+5/Tx), and more

Complex Population Dynamics

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Publisher : Princeton University Press
ISBN 13 : 1400847281
Total Pages : 472 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Complex Population Dynamics by : Peter Turchin

Download or read book Complex Population Dynamics written by Peter Turchin and published by Princeton University Press. This book was released on 2013-02-15 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do organisms become extremely abundant one year and then seem to disappear a few years later? Why do population outbreaks in particular species happen more or less regularly in certain locations, but only irregularly (or never at all) in other locations? Complex population dynamics have fascinated biologists for decades. By bringing together mathematical models, statistical analyses, and field experiments, this book offers a comprehensive new synthesis of the theory of population oscillations. Peter Turchin first reviews the conceptual tools that ecologists use to investigate population oscillations, introducing population modeling and the statistical analysis of time series data. He then provides an in-depth discussion of several case studies--including the larch budmoth, southern pine beetle, red grouse, voles and lemmings, snowshoe hare, and ungulates--to develop a new analysis of the mechanisms that drive population oscillations in nature. Through such work, the author argues, ecologists can develop general laws of population dynamics that will help turn ecology into a truly quantitative and predictive science. Complex Population Dynamics integrates theoretical and empirical studies into a major new synthesis of current knowledge about population dynamics. It is also a pioneering work that sets the course for ecology's future as a predictive science.

Competition Models in Population Biology

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Publisher : SIAM
ISBN 13 : 9781611970258
Total Pages : 82 pages
Book Rating : 4.9/5 (72 download)

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Book Synopsis Competition Models in Population Biology by : Paul Waltman

Download or read book Competition Models in Population Biology written by Paul Waltman and published by SIAM. This book was released on 1983-01-01 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses fundamental ideas in dynamical systems to answer questions of a biologic nature, in particular, questions about the behavior of populations given a relatively few hypotheses about the nature of their growth and interaction. The principal subject treated is that of coexistence under certain parameter ranges, while asymptotic methods are used to show competitive exclusion in other parameter ranges. Finally, some problems in genetics are posed and analyzed as problems in nonlinear ordinary differential equations.

Mathematical Models in Cell Biology and Cancer Chemotherapy

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Publisher : Springer Science & Business Media
ISBN 13 : 364293126X
Total Pages : 444 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Mathematical Models in Cell Biology and Cancer Chemotherapy by : M. Eisen

Download or read book Mathematical Models in Cell Biology and Cancer Chemotherapy written by M. Eisen and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to show how mathematics can be applied to improve cancer chemotherapy. Unfortunately, most drugs used in treating cancer kill both normal and abnormal cells. However, more cancer cells than normal cells can be destroyed by the drug because tumor cells usually exhibit different growth kinetics than normal cells. To capitalize on this last fact, cell kinetics must be studied by formulating mathematical models of normal and abnormal cell growth. These models allow the therapeutic and harmful effects of cancer drugs to be simulated quantitatively. The combined cell and drug models can be used to study the effects of different methods of administering drugs. The least harmful method of drug administration, according to a given criterion, can be found by applying optimal control theory. The prerequisites for reading this book are an elementary knowledge of ordinary differential equations, probability, statistics, and linear algebra. In order to make this book self-contained, a chapter on cell biology and a chapter on control theory have been included. Those readers who have had some exposure to biology may prefer to omit Chapter I (Cell Biology) and only use it as a reference when required. However, few biologists have been exposed to control theory. Chapter 7 provides a short, coherent and comprehensible presentation of this subject. The concepts of control theory are necessary for a full understanding of Chapters 8 and 9.

Deterministic Aspects of Mathematical Demography

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Publisher : Springer Science & Business Media
ISBN 13 : 364282319X
Total Pages : 195 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Deterministic Aspects of Mathematical Demography by : J. Impagliazzo

Download or read book Deterministic Aspects of Mathematical Demography written by J. Impagliazzo 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: Mathematical Demography, the study of population and its analysis through mathematical models, has received increased interest in the mathematical com munity in recent years. It was not until the twentieth century, however, that the study of population, predominantly human population, achieved its math ematical character. The subject of mathematical demography can be viewed from either a deterministic viewpoint or from a stochastic viewpoint. For the sake of brevity, stochastic models are not included in this work. It is, therefore, my intention to consider only established deterministic models in this discussion, starting with the life table as the earliest model, to a generalized matrix model which is developed in this treatise. These deterministic models provide sufficient de velopment and conclusions to formulate sound mathematical population analy sis and estimates of population projections. It should be noted that although the subject of mathematical demography focuses on human populations, the development and results may be applied to any population as long as the preconditions that make the model valid are maintained. Information concerning mathematical demography is at best fragmented.

Progress in Theoretical Biology

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Publisher : Academic Press
ISBN 13 : 1483219305
Total Pages : 228 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Progress in Theoretical Biology by : Robert J. Rosen

Download or read book Progress in Theoretical Biology written by Robert J. Rosen and published by Academic Press. This book was released on 2013-09-03 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Theoretical Biology, Volume 6 covers the theoretical analysis of biological phenomena. The book discusses the potentials in chemical systems far from thermodynamic equilibrium, particularly the reduction of reaction-diffusion systems to catastrophe theory; and a form of logic suited for biology. The text describes the order-disorder transitions in polyelectrolytes and the chaos in systems in population biology. An artificial cognitive-plus-motivational system and pattern generation in networks are also encompassed. Biophysicists and physiologists will find the book invaluable.

Mathematical Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 0387224378
Total Pages : 551 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mathematical Biology by : James D. Murray

Download or read book Mathematical Biology written by James D. Murray and published by Springer Science & Business Media. This book was released on 2007-06-12 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.

Simulation of Ecological and Environmental Models

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Publisher : CRC Press
ISBN 13 : 1466553898
Total Pages : 486 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Simulation of Ecological and Environmental Models by : Miguel F. Acevedo

Download or read book Simulation of Ecological and Environmental Models written by Miguel F. Acevedo and published by CRC Press. This book was released on 2016-04-19 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given the importance of interdisciplinary work in sustainability, Simulation of Ecological and Environmental Models introduces the theory and practice of modeling and simulation as applied in a variety of disciplines that deal with earth systems, the environment, ecology, and human-nature interactions. Based on the author's many years of teaching g

Mathematical Modeling

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Publisher : CRC Press
ISBN 13 : 1351022938
Total Pages : 419 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Mathematical Modeling by : Sandip Banerjee

Download or read book Mathematical Modeling written by Sandip Banerjee and published by CRC Press. This book was released on 2021-11-11 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.

Artificial Neural Networks in Medicine and Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 1447105133
Total Pages : 339 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Artificial Neural Networks in Medicine and Biology by : H. Malmgren

Download or read book Artificial Neural Networks in Medicine and Biology written by H. Malmgren and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the conference ANNIMAB-l, held 13-16 May 2000 in Goteborg, Sweden. The conference was organized by the Society for Artificial Neural Networks in Medicine and Biology (ANNIMAB-S), which was established to promote research within a new and genuinely cross-disciplinary field. Forty-two contributions were accepted for presentation; in addition to these, S invited papers are also included. Research within medicine and biology has often been characterised by application of statistical methods for evaluating domain specific data. The growing interest in Artificial Neural Networks has not only introduced new methods for data analysis, but also opened up for development of new models of biological and ecological systems. The ANNIMAB-l conference is focusing on some of the many uses of artificial neural networks with relevance for medicine and biology, specifically: • Medical applications of artificial neural networks: for better diagnoses and outcome predictions from clinical and laboratory data, in the processing of ECG and EEG signals, in medical image analysis, etc. More than half of the contributions address such clinically oriented issues. • Uses of ANNs in biology outside clinical medicine: for example, in models of ecology and evolution, for data analysis in molecular biology, and (of course) in models of animal and human nervous systems and their capabilities. • Theoretical aspects: recent developments in learning algorithms, ANNs in relation to expert systems and to traditional statistical procedures, hybrid systems and integrative approaches.

The Random Spatial Economy and its Evolution

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Publisher : Routledge
ISBN 13 : 0429764448
Total Pages : 767 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis The Random Spatial Economy and its Evolution by : Leslie Curry

Download or read book The Random Spatial Economy and its Evolution written by Leslie Curry and published by Routledge. This book was released on 2020-07-09 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1998, this volume, spanning a lifetime's research, is a highly innovative first attempt at a consistent theoretical approach to the elements, structures and dynamics of the geography of agents, settlements and trade. Cause and effect are replaced by chance within constraints. Populations are substituted for unreal representative individuals, variability for uniformity, probabilistic process for unique history. Ignorance is a major factor in interpersonal and inter-areal commercial relations so that the focus is on flows of information and their effects on the efficiency of the economy or, alternatively, on changes in its information content. Recent work on spatial arrangements in many physical and social sciences is incorporated but always interpreted from an overriding geographical viewpoint. Key concepts are locational potential, distance friction, mobility, diffusion, spatial pattern and texture, adaptability, efficiency, spatial interaction and dependence. Analytic methods include autocovariance and transfer functions, areal special densities and entropy. Various forms of self-organization of economic spatial patterns are examined.

Mathematical Models in Population Biology and Epidemiology

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Publisher : Springer Science & Business Media
ISBN 13 : 1475735162
Total Pages : 432 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematical Models in Population Biology and Epidemiology by : Fred Brauer

Download or read book Mathematical Models in Population Biology and Epidemiology written by Fred Brauer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Geometry of Population Genetics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642931286
Total Pages : 212 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis The Geometry of Population Genetics by : Ethan Akin

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].

Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary

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Publisher : Springer Science & Business Media
ISBN 13 : 3642930891
Total Pages : 338 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary by : R. E. Miles

Download or read book Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary written by R. E. Miles and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: