Introduction To Mathematical Biology
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Introduction to Mathematical Biology
Author | : Ching Shan Chou,Avner Friedman |
Publsiher | : Springer |
Total Pages | : 172 |
Release | : 2016-04-27 |
Genre | : Mathematics |
ISBN | : 9783319296388 |
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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.
An Introduction to Mathematical Biology
Author | : Linda J. S. Allen |
Publsiher | : Pearson |
Total Pages | : 0 |
Release | : 2007 |
Genre | : Biology |
ISBN | : 0130352160 |
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For advanced undergraduate and beginning graduate courses on Modeling offered in departments of Mathematics. This text introduces a variety of mathematical models for biological systems, and presents the mathematical theory and techniques useful in analyzing those models. Material is organized according to the mathematical theory rather than the biological application. Undergraduate courses in calculus, linear algebra, and differential equations are assumed.
Mathematical Biology
Author | : James D. Murray |
Publsiher | : Springer Science & Business Media |
Total Pages | : 551 |
Release | : 2007-06-12 |
Genre | : Mathematics |
ISBN | : 9780387224374 |
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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.
Mathematical Biology
Author | : Ronald W. Shonkwiler,James Herod |
Publsiher | : Springer Science & Business Media |
Total Pages | : 552 |
Release | : 2009-08-04 |
Genre | : Science |
ISBN | : 9780387709840 |
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This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.
Mathematical Biology II
Author | : James D. Murray |
Publsiher | : Springer Science & Business Media |
Total Pages | : 834 |
Release | : 2011-02-15 |
Genre | : Mathematics |
ISBN | : 9780387952284 |
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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
Mathematical Models in Biology
Author | : Leah Edelstein-Keshet |
Publsiher | : SIAM |
Total Pages | : 629 |
Release | : 1988-01-01 |
Genre | : Mathematics |
ISBN | : 0898719143 |
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Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.
A Course in Mathematical Biology
Author | : Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch |
Publsiher | : SIAM |
Total Pages | : 307 |
Release | : 2006-07-01 |
Genre | : Mathematics |
ISBN | : 9780898716122 |
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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?.
An Introduction to Mathematical Physiology and Biology
Author | : J. Mazumdar |
Publsiher | : Cambridge University Press |
Total Pages | : 244 |
Release | : 1999-08-19 |
Genre | : Mathematics |
ISBN | : 0521646758 |
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A textbook about the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students.