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Article

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

1
Department of Mathematics, College of Sciences and Arts in Blqarn, University of Bisha, P.O. Box 551, Bisha 61922, Saudi Arabia
2
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor 43600, Malaysia
*
Author to whom correspondence should be addressed.
Academic Editor: Sergei D. Odintsov
Symmetry 2021, 13(3), 404; https://doi.org/10.3390/sym13030404
Received: 8 February 2021 / Revised: 24 February 2021 / Accepted: 25 February 2021 / Published: 2 March 2021
(This article belongs to the Special Issue Symmetry in Modeling and Analysis of Dynamic Systems)
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. View Full-Text
Keywords: cell transplantation; cytokines; ischemic stroke; numerical simulation; runge-kutta method; stability analysis cell transplantation; cytokines; ischemic stroke; numerical simulation; runge-kutta method; stability analysis
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MDPI and ACS Style

Alqarni, A.J.; Rambely, A.S.; Hashim, I. Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment. Symmetry 2021, 13, 404. https://doi.org/10.3390/sym13030404

AMA Style

Alqarni AJ, Rambely AS, Hashim I. Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment. Symmetry. 2021; 13(3):404. https://doi.org/10.3390/sym13030404

Chicago/Turabian Style

Alqarni, Awatif Jahman, Azmin Sham Rambely, and Ishak Hashim. 2021. "Dynamical Simulation of Effective Stem Cell Transplantation for Modulation of Microglia Responses in Stroke Treatment" Symmetry 13, no. 3: 404. https://doi.org/10.3390/sym13030404

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