Differential Equations and Mathematical Biology
Lieferzeit: Besorgungstitel - Lieferbar innerhalb von 10 Werktagen I
Gewicht:
774 g
Format:
243x162x34 mm
Beschreibung:
Ideal for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, this bestselling text introduces the fundamental modeling and analytical techniques used to understand biological phenomena. It discusses the modeling of biological behavior, including biochemical reactions, nerve pulses, predator-prey models, and epidemics. This edition includes a section on spiral waves, developments in tumor biology, and additional examples and exercises. With downloadable MATLAB® files available online, it presents numerical solutions of differential equations and numerical bifurcation analysis.
Introduces the fundamental modeling and analytical techniques required to deepen understanding of biological phenomena. This text includes a section on spiral waves, developments in tumor biology, and covers the numerical solutions of different equations and numerical bifurcation analysis.
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.