eBook - ePub

Modeling of Post-Myocardial Infarction

Name: Modeling of Post-Myocardial Infarction
Author: William E. Schiesser

ODE/PDE Analysis with R

William E. Schiesser,

200 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Modeling of Post-Myocardial Infarction

ODE/PDE Analysis with R

William E. Schiesser,

About this book

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; T?; 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 T? = concentration of TNF-? (tumor necrosis factor-?); 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. - Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models - Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to the mathematical model and algorithms - Authored by a leading researcher and educator in PDE models

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Yes, you can access Modeling of Post-Myocardial Infarction by William E. Schiesser in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Bioinformatics. We have over one million books available in our catalogue for you to explore.