Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment

Stem cell transplantation therapy may inhibit inflammation during stroke and increase the presence of healthy cells in the brain. The novelty of this work, is to introduce a new mathematical model of stem cells transplanted to treat stroke. This manuscript studies the stability of the mathematical m...

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Main Authors: Awatif Jahman Alqarni, Azmin Sham Rambely, Ishak Hashim
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/3/404
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spelling doaj-ebb13eeacccf4e1b9365ac0b9dc589aa2021-03-03T00:02:36ZengMDPI AGSymmetry2073-89942021-03-011340440410.3390/sym13030404Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke TreatmentAwatif Jahman Alqarni0Azmin Sham Rambely1Ishak Hashim2Department of Mathematics, College of Sciences and Arts in Blqarn, University of Bisha, P.O. Box 551, Bisha 61922, Saudi ArabiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor 43600, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor 43600, MalaysiaStem cell transplantation therapy may inhibit inflammation during stroke and increase the presence of healthy cells in the brain. The novelty of this work, is to introduce a new mathematical model of stem cells transplanted to treat stroke. This manuscript studies the stability of the mathematical model by using the current biological information on stem cell therapy as a possible treatment for inflammation from microglia during stroke. The model is proposed to represent the dynamics of various immune brain cells (resting microglia, pro-inflammation microglia, and anti-inflammation microglia), brain tissue damage and stem cells transplanted. This model is based on a set of five ordinary differential equations and explores the beneficial effects of stem cells transplanted at early stages of inflammation during stroke. The Runge–Kutta method is used to discuss the model analytically and solve it numerically. The results of our simulations are qualitatively consistent with those observed in experiments in vivo, suggesting that the transplanted stem cells could contribute to the increase in the rate of ant-inflammatory microglia and decrease the damage from pro-inflammatory microglia. It is found from the analysis and simulation results that stem cell transplantation can help stroke patients by modulation of the immune response during a stroke and decrease the damage on the brain. In conclusion, this approach may increase the contributions of stem cells transplanted during inflammation therapy in stroke and help to study various therapeutic strategies for stem cells to reduce stroke damage at the early stages.https://www.mdpi.com/2073-8994/13/3/404cell transplantationcytokinesischemic strokenumerical simulationrunge-kutta methodstability analysis
collection DOAJ
language English
format Article
sources DOAJ
author Awatif Jahman Alqarni
Azmin Sham Rambely
Ishak Hashim
spellingShingle Awatif Jahman Alqarni
Azmin Sham Rambely
Ishak Hashim
Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment
Symmetry
cell transplantation
cytokines
ischemic stroke
numerical simulation
runge-kutta method
stability analysis
author_facet Awatif Jahman Alqarni
Azmin Sham Rambely
Ishak Hashim
author_sort Awatif Jahman Alqarni
title Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment
title_short Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment
title_full Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment
title_fullStr Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment
title_full_unstemmed Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment
title_sort dynamical simulation of effective stem cell transplantation for modulation of microglia responses in stroke treatment
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-03-01
description Stem cell transplantation therapy may inhibit inflammation during stroke and increase the presence of healthy cells in the brain. The novelty of this work, is to introduce a new mathematical model of stem cells transplanted to treat stroke. This manuscript studies the stability of the mathematical model by using the current biological information on stem cell therapy as a possible treatment for inflammation from microglia during stroke. The model is proposed to represent the dynamics of various immune brain cells (resting microglia, pro-inflammation microglia, and anti-inflammation microglia), brain tissue damage and stem cells transplanted. This model is based on a set of five ordinary differential equations and explores the beneficial effects of stem cells transplanted at early stages of inflammation during stroke. The Runge–Kutta method is used to discuss the model analytically and solve it numerically. The results of our simulations are qualitatively consistent with those observed in experiments in vivo, suggesting that the transplanted stem cells could contribute to the increase in the rate of ant-inflammatory microglia and decrease the damage from pro-inflammatory microglia. It is found from the analysis and simulation results that stem cell transplantation can help stroke patients by modulation of the immune response during a stroke and decrease the damage on the brain. In conclusion, this approach may increase the contributions of stem cells transplanted during inflammation therapy in stroke and help to study various therapeutic strategies for stem cells to reduce stroke damage at the early stages.
topic cell transplantation
cytokines
ischemic stroke
numerical simulation
runge-kutta method
stability analysis
url https://www.mdpi.com/2073-8994/13/3/404
work_keys_str_mv AT awatifjahmanalqarni dynamicalsimulationofeffectivestemcelltransplantationformodulationofmicrogliaresponsesinstroketreatment
AT azminshamrambely dynamicalsimulationofeffectivestemcelltransplantationformodulationofmicrogliaresponsesinstroketreatment
AT ishakhashim dynamicalsimulationofeffectivestemcelltransplantationformodulationofmicrogliaresponsesinstroketreatment
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