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Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution

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dc.contributor.author Bessonov, Nickolay
dc.contributor.author Bocharov, Gennady A.
dc.contributor.author Meyerhans, Andreas
dc.contributor.author Popov, Vladimir
dc.contributor.author Volpert, Vitaly
dc.date.accessioned 2022-03-17T10:47:46Z
dc.date.available 2022-03-17T10:47:46Z
dc.date.issued 2021
dc.identifier.citation Bessonov N, Bocharov G, Meyerhans A, Popov V, Volper V. Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution. SIAM J Appl Math. 2021;81(1):107–28. DOI: 10.1137/19M1282234
dc.identifier.issn 0036-1399
dc.identifier.uri http://hdl.handle.net/10230/52711
dc.description.abstract In this work, we develop a mathematical framework for predicting and quantifying virus diversity evolution during infection of a host organism. It is specified as a virus density distribution with respect to genotype and time governed by a reaction-diffusion integro-differential equation taking virus mutations, replication, and elimination by immune cells and medical treatment into account. Conditions for the existence of virus strains that correspond to localized density distributions in the space of genotypes are determined. It is shown that common viral evolutionary traits like diversification and extinction are driven by nonlocal interactions via immune responses, target-cell competition, and therapy. This provides us with a mechanistic explanation for clinically relevant properties like immune escape and drug resistance selection, and allows us to link virus genotypes to phenotypes.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Society for Industrial and Applied Mathematics
dc.rights © 2021, Society for Industrial and Applied Mathematics
dc.subject.other Virus -- Evolució
dc.subject.other Genotip
dc.subject.other Fenotip
dc.subject.other Matemàtica
dc.title Existence and dynamics of strains in a nonlocal reaction-diffusion model of viral evolution
dc.type info:eu-repo/semantics/article
dc.identifier.doi http://dx.doi.org/10.1137/19M1282234
dc.rights.accessRights info:eu-repo/semantics/openAccess
dc.type.version info:eu-repo/semantics/acceptedVersion

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