Dynamics of Macrofages and Cytokines after Myocardial Infarction

Usman Pagalay; Luluk Handayani; Abdullah Azzam

1st International Conference on Science and Technology, ICOST 2019, 2-3 May, Makassar, Indonesia

Research Article

Dynamics of Macrofages and Cytokines after Myocardial Infarction

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@INPROCEEDINGS{10.4108/eai.2-5-2019.2284674,
    author={Usman  Pagalay and Luluk  Handayani and Abdullah  Azzam},
    title={Dynamics of Macrofages and Cytokines after Myocardial Infarction },
    proceedings={1st International Conference on Science and Technology, ICOST 2019, 2-3 May, Makassar, Indonesia},
    publisher={EAI},
    proceedings_a={ICOST},
    year={2019},
    month={6},
    keywords={mathematical model macrophage cytokines myocardial infraction},
    doi={10.4108/eai.2-5-2019.2284674}
}

Usman Pagalay
Luluk Handayani
Abdullah Azzam
Year: 2019
Dynamics of Macrofages and Cytokines after Myocardial Infarction
ICOST
EAI
DOI: 10.4108/eai.2-5-2019.2284674

Usman Pagalay¹^,*, Luluk Handayani¹, Abdullah Azzam¹

1: Department of Mathematics, Faculty of Science and Technology, Universitas Islam Negeri Maulana Malik Ibrahim Malang, Indonesia. 65144

*Contact email: usmanpagalay@yahoo.co.id

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 non-linear ordinary differential equations, involving inactivated macrophages Mu (t), classical activated macrofages M1 (t), alternative activated macrophages M2 (t), interleukin-10 I10 (t), TNF-α Tα (t) and interleukin-1 I1 (t). 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.

Keywords: mathematical model macrophage cytokines myocardial infraction

Published: 2019-06-14
Publisher: EAI

: http://dx.doi.org/10.4108/eai.2-5-2019.2284674