Differential Equations and Mathematical Biology
Chapman & Hall/CRC (Verlag)
978-1-4200-8357-6 (ISBN)
Deepen students’ understanding of biological phenomena
Suitable 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 modeling and analytical techniques used to understand biological phenomena. In this edition, many of the chapters have been expanded to include new and topical material.
New to the Second Edition
A section on spiral waves
Recent developments in tumor biology
More on the numerical solution of differential equations and numerical bifurcation analysis
MATLAB® files available for download online
Many additional examples and exercises
This textbook shows how first-order ordinary differential equations (ODEs) are used to model the growth of a population, the administration of drugs, and the mechanism by which living cells divide. The authors present linear ODEs with constant coefficients, extend the theory to systems of equations, model biological phenomena, and offer solutions to first-order autonomous systems of nonlinear differential equations using the Poincaré phase plane. They also analyze the heartbeat, nerve impulse transmission, chemical reactions, and predator–prey problems. After covering partial differential equations and evolutionary equations, the book discusses diffusion processes, the theory of bifurcation, and chaotic behavior. It concludes with problems of tumor growth and the spread of infectious diseases.
D.S. Jones, FRS, FRSE is Professor Emeritus in the Department of Mathematics at the University of Dundee in Scotland. M.J. Plank is a senior lecturer in the Department of Mathematics and Statistics at the University of Canterbury in Christchurch, New Zealand. B.D. Sleeman, FRSE is Professor Emeritus in the Department of Applied Mathematics at the University of Leeds in the UK.
Introduction. Linear Ordinary Differential Equations with Constant Coefficients. Systems of Linear Ordinary Differential Equations. Modelling Biological Phenomena. First-Order Systems of Ordinary Differential Equations. Mathematics of Heart Physiology. Mathematics of Nerve Impulse Transmission. Chemical Reactions. Predator and Prey. Partial Differential Equations. Evolutionary Equations. Problems of Diffusion. Bifurcation and Chaos. Numerical Bifurcation Analysis. Growth of Tumors. Epidemics. Answers to Selected Exercises. Index.
| Erscheint lt. Verlag | 12.11.2009 |
|---|---|
| Reihe/Serie | Chapman & Hall/CRC Mathematical Biology Series |
| Zusatzinfo | 3 Tables, black and white; 100 Illustrations, black and white |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 1010 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-4200-8357-0 / 1420083570 |
| ISBN-13 | 978-1-4200-8357-6 / 9781420083576 |
| Zustand | Neuware |
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