{"product_id":"modeling-of-post-myocardial-infarction-william-e-schiesser-9780443136115","title":"Modeling of Post-Myocardial Infarction: Ode\/Pde Analysis with R","description":"\u003cp\u003e\u003ci\u003eModeling of Post-Myocardial Infarction: ODE\/PDE Analysis with R\u003c\/i\u003e 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; Tα; 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 Tα = concentration of TNF-α (tumor necrosis factor-α); dependent variable IL1 = concentration of IL1 (interleuken-1).\u003c\/p\u003e \u003cp\u003eThe 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e William E. Schiesser\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0443136114\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780443136115\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Academic Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/25\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 144\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback","brand":"William E. Schiesser","offers":[{"title":"Paperback","offer_id":48587623268607,"sku":"9780443136115","price":180.0,"currency_code":"USD","in_stock":false}],"url":"https:\/\/www.whiterainbookhouse.com\/products\/modeling-of-post-myocardial-infarction-william-e-schiesser-9780443136115","provider":"WR Book House","version":"1.0","type":"link"}