Spatio-temporal dynamics of Host-Virus competition: a Model study of Influenza A

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J Theor Biol. 2019 Sep 28:110026. doi: 10.1016/j.jtbi.2019.110026. [Epub ahead of print] Spatio-temporal dynamics of Host-Virus competition: a Model study of Influenza A.

Whitman J¹, Dhanji A², Hayot F³, Sealfon SC⁴, Jayaprakash C⁵.
Author information

1 Department of Physics, Ohio State University, 191 W. Woodruff Avenue, Columbus, OH 43201, United States. Electronic address: whitman.103@osu.edu. 2 Department of Physics, Ohio State University, 191 W. Woodruff Avenue, Columbus, OH 43201, United States; Highline College, 2400 S. 240th St, Des Moines, WA 98198, United States. Electronic address: adhanji@highline.edu. 3 Department of Neurology and Center for Translational Systems Biology, Icahn School of Medicine at Mount Sinai, New York, NY 10029, United States. 4 Department of Neurology and Center for Translational Systems Biology, Icahn School of Medicine at Mount Sinai, New York, NY 10029, United States. Electronic address: stuart.sealfon@mssm.edu. 5 Department of Physics, Ohio State University, 191 W. Woodruff Avenue, Columbus, OH 43201, United States. Electronic address: jayaprakash.1@osu.edu.

Abstract

We present results of a study of the early-time response of the innate immune system to influenza virus infection in an agent-based model (ABM) of epithelial cell layers. We find that the competition between the anti-viral immune response and viral antagonism can lead to viral titers non-monotonic in the initial infection fraction as found in experiments. Our model includes a coarse-grained version of intra-cellular processes and inter-cellular communication via cytokine and virion diffusion. We use ABM to follow the propagation of viral infection in the layer and the increase of the viral load as a function of time for different values of the multiplicity of infection (MOI), the initial number of viruses added per cell. We find that for moderately strong host immune response, the number of infected cells and viral load for a smaller MOI exceeds that for larger MOI, as seen in experiments. We elucidate the mechanism underlying this result as the synergistic action of cytokines secreted by infected cells in controlling viral amplification for larger MOI. We investigate the length and time scales that determine this non-monotonic behavior within the ABM. We study the diffusive spread of virions and cytokines from a single infected cell in an absorbing medium analytically and numerically and deduce the length scale that yields a good estimate of the MOI at which we find non-monotonicity. Detailed computations of the temporal behavior of averaged quantities and spatial measures provide further insights into host-viral interactions and connections to experimental observations.
Copyright ? 2019. Published by Elsevier Ltd.


KEYWORDS:

Agent-based modeling; Epithelial cells; Innate immune system; Modeling flu; Multiplicity of infection; Stochastic modeling

PMID: 31574283 DOI: 10.1016/j.jtbi.2019.110026