Table of Contents

Preface ix

1. Introduction to Partial Differentiation Equation Analysis: Chemotaxis 1

2. Pattern Formation 43

3. Belousov–Zhabotinskii Reaction System 103

4. Hodgkin–Huxley and Fitzhugh–Nagumo Models 127

5. Anesthesia Spatiotemporal Distribution 163

6. Influenza with Vaccination and Diffusion 207

7. Drug Release Tracking 243

8. Temperature Distributions in Cryosurgery 287

Index 323

About the Author

WILLIAM E. SCHIESSER, PHD, ScD(hon.) is Emeritus McCann Professor of Engineering andProfessor of Mathematics at Lehigh University. The author orcoauthor of thirteen books, Dr. Schiesser s researchinterests include numerical software; ordinary, differentialalgebraic, and partial differential equations; and computationalmathematics.