William E Schiesser: Modeling of Post-Myocardial Infarction
Modeling of Post-Myocardial Infarction
Buch
- Ode/Pde Analysis with R
- Elsevier Science, 08/2023
- Einband: Kartoniert / Broschiert
- Sprache: Englisch
- ISBN-13: 9780443136115
- Bestellnummer: 11501935
- Umfang: 144 Seiten
- Gewicht: 450 g
- Erscheinungstermin: 25.8.2023
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
Modeling of Post-Myocardial Infarction: ODE/PDE Analysis with R presents mathematical models for the dynamics of a post-myocardial (post-MI), aka, a heart attack. The mathematical models discussed consist of six ordinary differential equations (ODEs) with dependent variables Mun; M1; M2; IL10; Ta; IL1. The system variables are explained as follows: dependent variable Mun = cell density of unactivated macrophage; dependent variable M1 = cell density of M1 macrophage; dependent variable M2 = cell density of M2 macrophage; dependent variable IL10 = concentration of IL10, (interleuken-10); dependent variable Ta = concentration of TNF-a (tumor necrosis factor-a); dependent variable IL1 = concentration of IL1 (interleuken-1).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.