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Spatio-Temporal Modeling of Immune Response to SARS-CoV-2 Infection

Mathematics Department, Al-Qunfudhah University College, Umm Al-Qura University, Al-Qunfudhah 28821, Saudi Arabia
Mathematics 2021, 9(24), 3274; https://doi.org/10.3390/math9243274
Received: 23 November 2021 / Revised: 9 December 2021 / Accepted: 14 December 2021 / Published: 16 December 2021
COVID-19 is a disease occurring as a result of infection by a novel coronavirus called SARS-CoV-2. Since the WHO announced COVID-19 as a global pandemic, mathematical works have taken place to simulate infection scenarios at different scales even though the majority of these models only consider the temporal dynamics of SARS-COV-2. In this paper, we present a new spatio-temporal within-host mathematical model of COVID-19, accounting for the coupled dynamics of healthy cells, infected cells, SARS-CoV-2 molecules, chemokine concentration, effector T cells, regulatory T cells, B-lymphocytes cells and antibodies. We develop a computational framework involving discretisation schemes for diffusion and chemotaxis terms using central differences and midpoint approximations within two dimensional space combined with a predict–evaluate–correct mode for time marching. Then, we numerically investigate the model performance using a list of values simulating the baseline scenario for viral infection at a cellular scale. Moreover, we explore the model sensitivity via applying certain conditions to observe the model validity in a comparison with clinical outcomes collected from recent studies. In this computational investigation, we have a numerical range of 104 to 108 for the viral load peak, which is equivalent to what has been obtained from throat swab samples for many patients. View Full-Text
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MDPI and ACS Style

Alzahrani, T. Spatio-Temporal Modeling of Immune Response to SARS-CoV-2 Infection. Mathematics 2021, 9, 3274. https://doi.org/10.3390/math9243274

AMA Style

Alzahrani T. Spatio-Temporal Modeling of Immune Response to SARS-CoV-2 Infection. Mathematics. 2021; 9(24):3274. https://doi.org/10.3390/math9243274

Chicago/Turabian Style

Alzahrani, Talal. 2021. "Spatio-Temporal Modeling of Immune Response to SARS-CoV-2 Infection" Mathematics 9, no. 24: 3274. https://doi.org/10.3390/math9243274

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