Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells

Stem cells play a critical role in regulatory operations, overseeing tissue regeneration and tissue homeostasis. In this paper, a mathematical model is proposed and analyzed to study the impact of stem cell transplantation on the dynamical behavior of stroke therapy, which is assumed to be based on...

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Autores principales:	Awatif Jahman Alqarni, Azmin Sham Rambely, Sana Abdulkream Alharbi, Ishak Hashim
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	cell replacement eigenvalue stability analysis ischemic stroke numerical simulation system of ordinary differential equations Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/57573d1942ca4b1a9f34e01b2661242e
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spelling	oai:doaj.org-article:57573d1942ca4b1a9f34e01b2661242e2021-11-11T01:19:04ZDynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells10.3934/mbe.20213141551-0018https://doaj.org/article/57573d1942ca4b1a9f34e01b2661242e2021-07-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021314?viewType=HTMLhttps://doaj.org/toc/1551-0018Stem cells play a critical role in regulatory operations, overseeing tissue regeneration and tissue homeostasis. In this paper, a mathematical model is proposed and analyzed to study the impact of stem cell transplantation on the dynamical behavior of stroke therapy, which is assumed to be based on transplanting dead brain cells following a stroke. We transform the method of using hierarchical cell systems into a method of using different compartment variables by using ordinary differential equations, each of which elucidates a well-defined differentiation stage along with the effect of mature cells in improving the brain function after a stroke. Stem cells, progenitor cells, and the impacts of the stem cells transplanted on brain cells are among the variables considered. The model is studied analytically and solved numerically using the fourth-order Runge-Kutta method. We analyze the structure of equilibria, the ability of neural stem cells to proliferate and differentiate, and the stability properties of equilibria for stem cell transplantation. The model is considered to be stable after transplantation if the stem cells and progenitor cells differentiate into mature nerve cells in the brain. The results of the model analysis and simulation facilitate the identification of various biologically probable parameter sets that can explain the optimal time for stem cell replacement of damaged brain cells. Associating the classified parameter sets with recent experimental and clinical findings contributes to a better understanding of therapeutic mechanisms that promote the reconstitution of brain cells after an ischemic stroke.Awatif Jahman AlqarniAzmin Sham Rambely Sana Abdulkream AlharbiIshak Hashim AIMS Pressarticlecell replacementeigenvalue stability analysisischemic strokenumerical simulationsystem of ordinary differential equationsBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 6288-6304 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	cell replacement eigenvalue stability analysis ischemic stroke numerical simulation system of ordinary differential equations Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	cell replacement eigenvalue stability analysis ischemic stroke numerical simulation system of ordinary differential equations Biotechnology TP248.13-248.65 Mathematics QA1-939 Awatif Jahman Alqarni Azmin Sham Rambely Sana Abdulkream Alharbi Ishak Hashim Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells
description	Stem cells play a critical role in regulatory operations, overseeing tissue regeneration and tissue homeostasis. In this paper, a mathematical model is proposed and analyzed to study the impact of stem cell transplantation on the dynamical behavior of stroke therapy, which is assumed to be based on transplanting dead brain cells following a stroke. We transform the method of using hierarchical cell systems into a method of using different compartment variables by using ordinary differential equations, each of which elucidates a well-defined differentiation stage along with the effect of mature cells in improving the brain function after a stroke. Stem cells, progenitor cells, and the impacts of the stem cells transplanted on brain cells are among the variables considered. The model is studied analytically and solved numerically using the fourth-order Runge-Kutta method. We analyze the structure of equilibria, the ability of neural stem cells to proliferate and differentiate, and the stability properties of equilibria for stem cell transplantation. The model is considered to be stable after transplantation if the stem cells and progenitor cells differentiate into mature nerve cells in the brain. The results of the model analysis and simulation facilitate the identification of various biologically probable parameter sets that can explain the optimal time for stem cell replacement of damaged brain cells. Associating the classified parameter sets with recent experimental and clinical findings contributes to a better understanding of therapeutic mechanisms that promote the reconstitution of brain cells after an ischemic stroke.
format	article
author	Awatif Jahman Alqarni Azmin Sham Rambely Sana Abdulkream Alharbi Ishak Hashim
author_facet	Awatif Jahman Alqarni Azmin Sham Rambely Sana Abdulkream Alharbi Ishak Hashim
author_sort	Awatif Jahman Alqarni
title	Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells
title_short	Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells
title_full	Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells
title_fullStr	Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells
title_full_unstemmed	Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells
title_sort	dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/57573d1942ca4b1a9f34e01b2661242e
work_keys_str_mv	AT awatifjahmanalqarni dynamicbehaviorandstabilizationofbraincellreconstitutionafterstrokeundertheproliferationanddifferentiationprocessesforstemcells AT azminshamrambely dynamicbehaviorandstabilizationofbraincellreconstitutionafterstrokeundertheproliferationanddifferentiationprocessesforstemcells AT sanaabdulkreamalharbi dynamicbehaviorandstabilizationofbraincellreconstitutionafterstrokeundertheproliferationanddifferentiationprocessesforstemcells AT ishakhashim dynamicbehaviorandstabilizationofbraincellreconstitutionafterstrokeundertheproliferationanddifferentiationprocessesforstemcells
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Dynamic behavior and stabilization of brain cell reconstitution after stroke under the proliferation and differentiation processes for stem cells

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