Modeling of Post-Myocardial Infarction
Academic Press Inc (Verlag)
978-0-443-13611-5 (ISBN)
The system of six ODEs does not include a spatial aspect of an MI in the cardiac tissue. Therefore, the ODE model is extended to include a spatial effect by the addition of diffusion terms. The resulting system of six diffusion PDEs, with x (space) and t (time) as independent variables, is integrated (solved) by the numerical method of lines (MOL), a general numerical algorithm for PDEs.
Dr. William E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering, and Professor of Mathematics at Lehigh University. He holds a PhD from Princeton University and a ScD (hon) from the University of Mons, Belgium. His research is directed toward numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs), and the development of mathematical models based on ODE/DAE/PDEs. He is the author or coauthor of more than 16 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations, and government agencies.
1. ODE Model Development
2. ODE Model Implementation
3. PDE Model Formulation and Implementation
4. PDE Model Temporal Derivative Analysis
5. Analysis of the PDE Model Terms
Appendix A: Functions dss004, dss044
| Erscheinungsdatum | 02.09.2023 |
|---|---|
| Verlagsort | San Diego |
| Sprache | englisch |
| Maße | 191 x 235 mm |
| Gewicht | 450 g |
| Themenwelt | Informatik ► Weitere Themen ► Bioinformatik |
| ISBN-10 | 0-443-13611-4 / 0443136114 |
| ISBN-13 | 978-0-443-13611-5 / 9780443136115 |
| Zustand | Neuware |
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