An Introduction to Mathematical Biology
Title | An Introduction to Mathematical Biology PDF eBook |
Author | Linda J. S. Allen |
Publisher | Pearson |
Total Pages | 0 |
Release | 2007 |
Genre | Biology |
ISBN | 9780130352163 |
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 II
Title | Mathematical Biology II PDF eBook |
Author | James D. Murray |
Publisher | Springer Science & Business Media |
Total Pages | 834 |
Release | 2011-02-15 |
Genre | Mathematics |
ISBN | 0387952284 |
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
Introduction to Mathematical Biology
Title | Introduction to Mathematical Biology PDF eBook |
Author | Ching Shan Chou |
Publisher | Springer |
Total Pages | 174 |
Release | 2016-04-27 |
Genre | Mathematics |
ISBN | 3319296388 |
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.
Introduction to Mathematical Biology
Title | Introduction to Mathematical Biology PDF eBook |
Author | S. I. Rubinow |
Publisher | Dover Books on Biology |
Total Pages | 0 |
Release | 2002 |
Genre | Mathematics |
ISBN | 9780486425320 |
Developed from the author's course in mathematical biology at Cornell University, this volume is designed to cultivate in graduate biology students an awareness of and familiarity with applications of mathematical techniques and methods related to biology.This text explores five areas of mathematical biology, which are unified by their underlying mathematical structure. The first three subjects (cell growth, enzymatic reactions, and physiological tracers) are biological; the final two (biological fluid dynamics and diffusion) are biophysical. Introduced in an order of progressive mathematical complexity, the topics essentially follow a course in elementary differential equations, although linear algebra and graph theory are also touched upon.Free of mathematical jargon, the text requires only a knowledge of elementary calculus. A set of problems appears at the end of each chapter, with solutions at the end of the book. In addition to its value to biology students, this text will also prove useful to students with backgrounds in mathematics, physics, and engineering, who possess little knowledge of biology but nevertheless take an interest in the quantitative approach.
Mathematical Biology
Title | Mathematical Biology PDF eBook |
Author | James D. Murray |
Publisher | Springer Science & Business Media |
Total Pages | 551 |
Release | 2007-06-12 |
Genre | Mathematics |
ISBN | 0387224378 |
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.
An Introduction to Mathematical Physiology and Biology
Title | An Introduction to Mathematical Physiology and Biology PDF eBook |
Author | J. Mazumdar |
Publisher | Cambridge University Press |
Total Pages | 244 |
Release | 1999-08-19 |
Genre | Mathematics |
ISBN | 9780521646758 |
This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. A range of topics are discussed: diffusion population dynamics, autonomous differential equations and the stability of ecosystems, biogeography, pharmokinetics, biofluid mechanics, cardiac mechanics, the spectral analysis of heart sounds using FFT techniques. The last chapter deals with a wide variety of commonly used medical devices. This book is based on courses taught by the author over many years and the material is well class tested. The reader is aided by many exercises that examine key points and extend the presentation in the body of the text. All students of mathematical biology will find this book to be a highly useful resource.
Essential Mathematical Biology
Title | Essential Mathematical Biology PDF eBook |
Author | Nicholas F. Britton |
Publisher | Springer Science & Business Media |
Total Pages | 347 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1447100492 |
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.