Viral infection dynamics model based on a Markov process with time delay between cell infection and progeny production

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• dc.contributor.author Sazonov, Igor
• dc.contributor.author Grebennikov, Dmitry
• dc.contributor.author Kelbert, Mark
• dc.contributor.author Meyerhans, Andreas
• dc.contributor.author Bocharov, Gennady A.
• dc.date.accessioned 2023-04-25T06:14:31Z
• dc.date.available 2023-04-25T06:14:31Z
• dc.date.issued 2020
• dc.description.abstract Many human virus infections including those with the human immunodeficiency virus type 1 (HIV) are initiated by low numbers of founder viruses. Therefore, random effects have a strong influence on the initial infection dynamics, e.g., extinction versus spread. In this study, we considered the simplest (so-called, ‘consensus’) virus dynamics model and incorporated a delay between infection of a cell and virus progeny release from the infected cell. We then developed an equivalent stochastic virus dynamics model that accounts for this delay in the description of the random interactions between the model components. The new model is used to study the statistical characteristics of virus and target cell populations. It predicts the probability of infection spread as a function of the number of transmitted viruses. A hybrid algorithm is suggested to compute efficiently the system dynamics in state space domain characterized by the mix of small and large species densities.
• dc.format.mimetype application/pdf
• dc.identifier.citation Sazonov I, Grebennikov D, Kelbert M, Meyerhans A, Bocharov G. Viral infection dynamics model based on a Markov process with time delay between cell infection and progeny production. Mathematics. 2020;8(8):1207. DOI: 10.3390/MATH8081207
• dc.identifier.doi http://dx.doi.org/10.3390/MATH8081207
• dc.identifier.issn 2227-7390
• dc.identifier.uri http://hdl.handle.net/10230/56559
• dc.language.iso eng
• dc.publisher MDPI
• dc.relation.ispartof Mathematics. 2020;8(8):1207
• dc.rights © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.rights.uri http://creativecommons.org/licenses/by/4.0/
• dc.subject.keyword Virus dynamics modelling
• dc.subject.keyword Markov process with delay
• dc.subject.keyword Monte-Carlo method
• dc.title Viral infection dynamics model based on a Markov process with time delay between cell infection and progeny production
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion