Description
Book SynopsisFeatures a solid foundation of mathematical and computational tools to formulate and solve real-world ODE problems across various fields
With a step-by-step approach to solving ordinary differential equations (ODEs), Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R successfully applies computational techniques for solving real-world ODE problems that are found in a variety of fields, including chemistry, physics, biology, and physiology. The book provides readers with the necessary knowledge to reproduce and extend the computed numerical solutions and is a valuable resource for dealing with a broad class of linear and nonlinear ordinary differential equations.
The author's primary focus is on models expressed as systems of ODEs, which generally result by neglecting spatial effects so that the ODE dependent variables are uniform in space. Therefore, time is the independent variable in
Table of Contents
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
