Spatiotemporal dynamics of a glioma immune interaction model

Abstract We report a mathematical model which depicts the spatiotemporal dynamics of glioma cells, macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno-stimulatory cytokine IFN-γ through a system of five coupled reaction-diffusion equations. We performed local stability...

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Autores principales:	Subhas Khajanchi, Juan J. Nieto
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2ff4cd1146fe4a12a6b33b3cb1e9bc83
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spelling	oai:doaj.org-article:2ff4cd1146fe4a12a6b33b3cb1e9bc832021-11-21T12:23:52ZSpatiotemporal dynamics of a glioma immune interaction model10.1038/s41598-021-00985-12045-2322https://doaj.org/article/2ff4cd1146fe4a12a6b33b3cb1e9bc832021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-00985-1https://doaj.org/toc/2045-2322Abstract We report a mathematical model which depicts the spatiotemporal dynamics of glioma cells, macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno-stimulatory cytokine IFN-γ through a system of five coupled reaction-diffusion equations. We performed local stability analysis of the biologically based mathematical model for the growth of glioma cell population and their environment. The presented stability analysis of the model system demonstrates that the temporally stable positive interior steady state remains stable under the small inhomogeneous spatiotemporal perturbations. The irregular spatiotemporal dynamics of gliomas, macrophages and cytotoxic T-lymphocytes are discussed extensively and some numerical simulations are presented. Performed some numerical simulations in both one and two dimensional spaces. The occurrence of heterogeneous pattern formation of the system has both biological and mathematical implications and the concepts of glioma cell progression and invasion are considered. Simulation of the model shows that by increasing the value of time, the glioma cell population, macrophages and cytotoxic-T-lymphocytes spread throughout the domain.Subhas KhajanchiJuan J. NietoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-17 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Subhas Khajanchi Juan J. Nieto Spatiotemporal dynamics of a glioma immune interaction model
description	Abstract We report a mathematical model which depicts the spatiotemporal dynamics of glioma cells, macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno-stimulatory cytokine IFN-γ through a system of five coupled reaction-diffusion equations. We performed local stability analysis of the biologically based mathematical model for the growth of glioma cell population and their environment. The presented stability analysis of the model system demonstrates that the temporally stable positive interior steady state remains stable under the small inhomogeneous spatiotemporal perturbations. The irregular spatiotemporal dynamics of gliomas, macrophages and cytotoxic T-lymphocytes are discussed extensively and some numerical simulations are presented. Performed some numerical simulations in both one and two dimensional spaces. The occurrence of heterogeneous pattern formation of the system has both biological and mathematical implications and the concepts of glioma cell progression and invasion are considered. Simulation of the model shows that by increasing the value of time, the glioma cell population, macrophages and cytotoxic-T-lymphocytes spread throughout the domain.
format	article
author	Subhas Khajanchi Juan J. Nieto
author_facet	Subhas Khajanchi Juan J. Nieto
author_sort	Subhas Khajanchi
title	Spatiotemporal dynamics of a glioma immune interaction model
title_short	Spatiotemporal dynamics of a glioma immune interaction model
title_full	Spatiotemporal dynamics of a glioma immune interaction model
title_fullStr	Spatiotemporal dynamics of a glioma immune interaction model
title_full_unstemmed	Spatiotemporal dynamics of a glioma immune interaction model
title_sort	spatiotemporal dynamics of a glioma immune interaction model
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/2ff4cd1146fe4a12a6b33b3cb1e9bc83
work_keys_str_mv	AT subhaskhajanchi spatiotemporaldynamicsofagliomaimmuneinteractionmodel AT juanjnieto spatiotemporaldynamicsofagliomaimmuneinteractionmodel
_version_	1718419054821113856

Spatiotemporal dynamics of a glioma immune interaction model

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