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EXISTENCE AND DYNAMICS OF STRAINS IN A NONLOCAL REACTION-DIFFUSION MODEL OF VIRAL EVOLUTION.

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Title: EXISTENCE AND DYNAMICS OF STRAINS IN A NONLOCAL REACTION-DIFFUSION MODEL OF VIRAL EVOLUTION.
Authors: BESSONOV, NIKOLAI1 nickbessonov1@gmail.com, BOCHAROV, GENNADY2,3,4 g.bocharov@inm.ras.ru, MEYERHANS, ANDREAS5 andreas.meyerhans@upf.edu, POPOV, VLADIMIR6 volodimir.a@gmail.com, VOLPERT, VITALY6,7,8 volpert@math.univ-lyon1.fr
Source: SIAM Journal on Applied Mathematics. 2021, Vol. 81 Issue 1, p107-128. 22p.
Subjects: Integro-differential equations, Virus diversity, Reaction-diffusion equations, Viral mutation, Phenotypes
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. [ABSTRACT FROM AUTHOR]
Copyright of SIAM Journal on Applied Mathematics is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: EXISTENCE AND DYNAMICS OF STRAINS IN A NONLOCAL REACTION-DIFFUSION MODEL OF VIRAL EVOLUTION.
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  Data: <searchLink fieldCode="AR" term="%22BESSONOV%2C+NIKOLAI%22">BESSONOV, NIKOLAI</searchLink><relatesTo>1</relatesTo><i> nickbessonov1@gmail.com</i><br /><searchLink fieldCode="AR" term="%22BOCHAROV%2C+GENNADY%22">BOCHAROV, GENNADY</searchLink><relatesTo>2,3,4</relatesTo><i> g.bocharov@inm.ras.ru</i><br /><searchLink fieldCode="AR" term="%22MEYERHANS%2C+ANDREAS%22">MEYERHANS, ANDREAS</searchLink><relatesTo>5</relatesTo><i> andreas.meyerhans@upf.edu</i><br /><searchLink fieldCode="AR" term="%22POPOV%2C+VLADIMIR%22">POPOV, VLADIMIR</searchLink><relatesTo>6</relatesTo><i> volodimir.a@gmail.com</i><br /><searchLink fieldCode="AR" term="%22VOLPERT%2C+VITALY%22">VOLPERT, VITALY</searchLink><relatesTo>6,7,8</relatesTo><i> volpert@math.univ-lyon1.fr</i>
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  Data: <searchLink fieldCode="DE" term="%22Integro-differential+equations%22">Integro-differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Virus+diversity%22">Virus diversity</searchLink><br /><searchLink fieldCode="DE" term="%22Reaction-diffusion+equations%22">Reaction-diffusion equations</searchLink><br /><searchLink fieldCode="DE" term="%22Viral+mutation%22">Viral mutation</searchLink><br /><searchLink fieldCode="DE" term="%22Phenotypes%22">Phenotypes</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of SIAM Journal on Applied Mathematics is the property of Society for Industrial & Applied Mathematics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1137/19M1282234
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        Text: English
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      – SubjectFull: Integro-differential equations
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      – SubjectFull: Virus diversity
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      – SubjectFull: Reaction-diffusion equations
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      – SubjectFull: Viral mutation
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      – SubjectFull: Phenotypes
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      – TitleFull: EXISTENCE AND DYNAMICS OF STRAINS IN A NONLOCAL REACTION-DIFFUSION MODEL OF VIRAL EVOLUTION.
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              Text: 2021
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