Fractional Derivatives in Mathematical Model of the Acute Inflammatory Response
- Author Ilea Mihai
- DOI
- Country : Romania
- Subject : Medical Biosciences
Keywords : Fractional Derivatives, Mathematical Modeling, Acute Inflammatory, Matlab
Abstract
Systems of differential equations are of basic importance in Acute Inflammatory Response because many biological laws and relations appear mathematically in the form of a ordinary differential equations systems. In this article we present some applications of mathematical models represented by differential equations systems in Acute Inflammatory Response.A reduced mathematical model of acute inflammatory response is taken into account in this paper. The mathematical model is based on delicate system of check and balance between the response of instigator (usually a pathogen) and the temporal pro-inflammatory mediators (early late action). A fractional derivative model is proposed to replace a classical one using Caputo approach. The results of simulations are presented along with a comparison between fractional and integer derivative approaches.
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