Description
Book SynopsisWith the needed mathematical and computational tools, this book provides a solid foundation in formulating and solving real-world PDE numerical and analytical problems in various fields from applied mathematics, engineering, and computer science to biology and medicine.
Table of ContentsPreface 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
Preface ix
1. Introduction to Ordinary Differential Equation Analysis: Bioreactor Dynamics 1
2. Diabetes Glucose Tolerance Test 79
3. Apoptosis 145
4. Dynamic Neuron Model 191
5. Stem Cell Differentiation 217
6. Acetylcholine Neurocycle 241
7. Tuberculosis with Differential Infectivity 321
8. Corneal Curvature 337
Appendix A1: Stiff ODE Integration 375
Index 417
