Differential Equations And Mathematical Biology PDF Download
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Author | : D.S. Jones |
Publisher | : CRC Press |
Total Pages | : 462 |
Release | : 2009-11-09 |
Genre | : Mathematics |
ISBN | : 1420083589 |
Download Differential Equations and Mathematical Biology Book in PDF, ePub and Kindle
Deepen students' understanding of biological phenomenaSuitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeli
Author | : Clifford Henry Taubes |
Publisher | : Cambridge University Press |
Total Pages | : 526 |
Release | : 2008-01-17 |
Genre | : Mathematics |
ISBN | : 1316582787 |
Download Modeling Differential Equations in Biology Book in PDF, ePub and Kindle
Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists.
Author | : T. A. Burton |
Publisher | : CRC Press |
Total Pages | : 300 |
Release | : 1980-09-01 |
Genre | : Mathematics |
ISBN | : 9780824771331 |
Download Modeling and Differential Equations in Biology Book in PDF, ePub and Kindle
Persistence in lotka-volterra models of food chains and competition; Mathematical models of humoral immune response; Mathematical models of dose and cell cycle effects in multifraction radiotherapy; Theorical and experimental investigations of microbial competition in continuous culture; A liapunov functional for a class of reaction-diffusion systems; Stochastic prey-predator relationships; Coexistence in predator-prey systems; Stability of some multispecies population models; Population dynamics in patchy environments; Limit cycles in a model of b-cell simulation; Optimal age-specific harvesting policy for a cintinuous time-population model; Models involving differential and integral equations appropriate for describing a temperature dependent predator-prey mite ecosystem on apples.
Author | : Gerda de Vries |
Publisher | : SIAM |
Total Pages | : 307 |
Release | : 2006-07-01 |
Genre | : Mathematics |
ISBN | : 0898718252 |
Download A Course in Mathematical Biology Book in PDF, ePub and Kindle
This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.
Author | : James P. Keener |
Publisher | : |
Total Pages | : |
Release | : 2021 |
Genre | : Biomathematics |
ISBN | : 9781470464141 |
Download Biology in Time and Space Book in PDF, ePub and Kindle
Author | : James D. Murray |
Publisher | : Springer Science & Business Media |
Total Pages | : 834 |
Release | : 2011-02-15 |
Genre | : Mathematics |
ISBN | : 0387952284 |
Download Mathematical Biology II Book in PDF, ePub and Kindle
This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS
Author | : Shigui Ruan |
Publisher | : American Mathematical Soc. |
Total Pages | : 521 |
Release | : 1999 |
Genre | : Biomathematics |
ISBN | : 082180944X |
Download Differential Equations with Applications to Biology Book in PDF, ePub and Kindle
This book presents the proceedings from the International Conference held in Halifax, NS in July 1997. Funded by The Fields Institute and Le Centre de Recherches Mathématiques, the conference was held in honor of the retirement of Professors Lynn Erbe and Herb I. Freedman (University of Alberta). Featured topics include ordinary, partial, functional, and stochastic differential equations and their applications to biology, epidemiology, neurobiology, physiology and other related areas. The 41 papers included in this volume represent the recent work of leading researchers over a wide range of subjects, including bifurcation theory, chaos, stability theory, boundary value problems, persistence theory, neural networks, disease transmission, population dynamics, pattern formation and more. The text would be suitable for a graduate or advanced undergraduate course study in mathematical biology. Features: An overview of current developments in differential equations and mathematical biology. Authoritative contributions from over 60 leading worldwide researchers. Original, refereed contributions.
Author | : Stavros Busenberg |
Publisher | : Elsevier |
Total Pages | : 376 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0323153429 |
Download Differential Equations and Applications in Ecology, Epidemics, and Population Problems Book in PDF, ePub and Kindle
Differential Equations and Applications in Ecology, Epidemics, and Population Problems is composed of papers and abstracts presented at the 1981 research conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems held at Harvey Mudd College. The reported researches consist of mathematics that is either a direct outgrowth from questions in population biology and biomathematics, or applicable to such questions. The content of this volume are collected in four groups. The first group addresses aspects of population dynamics that involve the interaction between spatial and temporal effects. The second group covers other questions in population dynamics and some other areas of biomathematics. The third group deals with topics in differential and functional differential equations that are continuing to find important applications in mathematical biology. The last group comprises of work on various aspects of differential equations and dynamical systems, not essentially motivated by biological applications. This book is valuable to students and researchers in theoretical biology and biomathematics, as well as to those interested in modern applications of differential equations.
Author | : Ching Shan Chou |
Publisher | : Springer |
Total Pages | : 172 |
Release | : 2016-04-27 |
Genre | : Mathematics |
ISBN | : 3319296388 |
Download Introduction to Mathematical Biology Book in PDF, ePub and Kindle
This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.
Author | : Nicholas F. Britton |
Publisher | : Springer Science & Business Media |
Total Pages | : 347 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1447100492 |
Download Essential Mathematical Biology Book in PDF, ePub and Kindle
This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.