William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering and Chemical and Biomolecular Engineering at Lehigh University.

• Preface ix1. Introduction to Partial Differentiation Equation Analysis: Chemotaxis 12. Pattern Formation 433. Belousov–Zhabotinskii Reaction System 1034. Hodgkin–Huxley and Fitzhugh–Nagumo Models 1275. Anesthesia Spatiotemporal Distribution 1636. Influenza with Vaccination and Diffusion 2077. Drug Release Tracking 2438. Temperature Distributions in Cryosurgery 287Index 323 Preface ix1. Introduction to Ordinary Differential Equation Analysis: Bioreactor Dynamics 12. Diabetes Glucose Tolerance Test 793. Apoptosis 1454. Dynamic Neuron Model 1915. Stem Cell Differentiation 2176. Acetylcholine Neurocycle 2417. Tuberculosis with Differential Infectivity 3218. Corneal Curvature 337Appendix A1: Stiff ODE Integration 375Index 417

William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering and Chemical and Biomolecular Engineering at Lehigh University.

• Preface ix1. Introduction to Partial Differentiation Equation Analysis: Chemotaxis 12. Pattern Formation 433. Belousov–Zhabotinskii Reaction System 1034. Hodgkin–Huxley and Fitzhugh–Nagumo Models 1275. Anesthesia Spatiotemporal Distribution 1636. Influenza with Vaccination and Diffusion 2077. Drug Release Tracking 2438. Temperature Distributions in Cryosurgery 287Index 323 Preface ix1. Introduction to Ordinary Differential Equation Analysis: Bioreactor Dynamics 12. Diabetes Glucose Tolerance Test 793. Apoptosis 1454. Dynamic Neuron Model 1915. Stem Cell Differentiation 2176. Acetylcholine Neurocycle 2417. Tuberculosis with Differential Infectivity 3218. Corneal Curvature 337Appendix A1: Stiff ODE Integration 375Index 417

William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering and Chemical and Biomolecular Engineering at Lehigh University.

• Preface ix1. Introduction to Partial Differentiation Equation Analysis: Chemotaxis 12. Pattern Formation 433. Belousov–Zhabotinskii Reaction System 1034. Hodgkin–Huxley and Fitzhugh–Nagumo Models 1275. Anesthesia Spatiotemporal Distribution 1636. Influenza with Vaccination and Diffusion 2077. Drug Release Tracking 2438. Temperature Distributions in Cryosurgery 287Index 323 Preface ix1. Introduction to Ordinary Differential Equation Analysis: Bioreactor Dynamics 12. Diabetes Glucose Tolerance Test 793. Apoptosis 1454. Dynamic Neuron Model 1915. Stem Cell Differentiation 2176. Acetylcholine Neurocycle 2417. Tuberculosis with Differential Infectivity 3218. Corneal Curvature 337Appendix A1: Stiff ODE Integration 375Index 417