Dynamics of Macrofages and Cytokines after Myocardial Infarction

Abstract

The mathematical model of populations of Macrophages and Cytokines after Myocardial Infraction explains the macrophages activation following by cytokines secretion in the left ventricle. Those models appears to be a system of six simultaneous nonlinear ordinary differential equations, involving inactivated macrophages ( ), classical activated macrofages ( ), alternative activated macrophages ( ), interleukin-10 ( ), TNF( ) and interleukin-1 ( ). The method used in this article is numerical Runge-Kutta method with computer assistance for obtaining the numerical solution and gathering several informations including the crucials of cytokines on the development of macrophages.