THERMAL SCIENCE

International Scientific Journal

Asif Waheed

,

Aqsa Nazir

,

Sohail Ahmed

,

Muhammad Zeb

,

Naveed Ahmed

,

Umar Khan

,

Syed Tauseef Mohyud-Din

ON CONFORMABLE MATHEMATICAL MODEL OF IMMUNE SYSTEM COUPLED WITH INTESTINAL MICROBIOME

ABSTRACT
Sometimes, an increased reaction is caused by an immune system of the body to a non-toxic agent (e.g. eggs, dust, pollens or some drugs). This is called allergy or hypersensitivity. The regulatory T cells decrease these allergic reactions. Nowadays, it is noticed that immune system has a deep relationship with microorganism present in the intestine, that can be explained by the example, that some bacteria of intestine increase production of Treg cells by producing butyric acid like fatty acids. This can also understand that sufficiently different types of T cell receptors of Treg cells are needed to stop the inflammatory response produced by intestinal bacteria. In this study, the dynamic relation of T helper cells, intestinal bacteria and Treg cells are illustrated by a conformable mathematical model. Memory effects are figured out and displayed through graphs. Different plots also show the effects of increasing/decreasing amount of Treg induction efficiency on the whole system.
KEYWORDS
intestinal microbiome, conformable derivative, immune system, initial value problem, Nonlinear Differential Equations
PAPER SUBMITTED: 2019-07-09
PAPER REVISED: 2019-10-12
PAPER ACCEPTED: 2019-10-15
PUBLISHED ONLINE: 2019-11-02
DOI REFERENCE: https://doi.org/10.2298/TSCI190709409W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S2193 - S2198]
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On conformable mathematical model of immune system coupled with intestinal microbiome

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence