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Immune Response to a Variable Pathogen: A Stochastic Model with Two Interlocked Darwinian Entities

This paper presents the modeling of a host immune system, more precisely the immune effector cell and immune memory cell population, and its interaction with an invading pathogen population. It will tackle two issues of interest; on the one hand, in defining a stochastic model accounting for the inh...

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Detalles Bibliográficos
Autor principal: Kuhn, Christoph
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2012
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3574756/
https://www.ncbi.nlm.nih.gov/pubmed/23424603
http://dx.doi.org/10.1155/2012/784512
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author Kuhn, Christoph
author_facet Kuhn, Christoph
author_sort Kuhn, Christoph
collection PubMed
description This paper presents the modeling of a host immune system, more precisely the immune effector cell and immune memory cell population, and its interaction with an invading pathogen population. It will tackle two issues of interest; on the one hand, in defining a stochastic model accounting for the inherent nature of organisms in population dynamics, namely multiplication with mutation and selection; on the other hand, in providing a description of pathogens that may vary their antigens through mutations during infection of the host. Unlike most of the literature, which models the dynamics with first-order differential equations, this paper proposes a Galton-Watson type branching process to describe stochastically by whole distributions the population dynamics of pathogens and immune cells. In the first model case, the pathogen of a given type is either eradicated or shows oscillatory chronic response. In the second model case, the pathogen shows variational behavior changing its antigen resulting in a prolonged immune reaction.
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spelling pubmed-35747562013-02-19 Immune Response to a Variable Pathogen: A Stochastic Model with Two Interlocked Darwinian Entities Kuhn, Christoph Comput Math Methods Med Research Article This paper presents the modeling of a host immune system, more precisely the immune effector cell and immune memory cell population, and its interaction with an invading pathogen population. It will tackle two issues of interest; on the one hand, in defining a stochastic model accounting for the inherent nature of organisms in population dynamics, namely multiplication with mutation and selection; on the other hand, in providing a description of pathogens that may vary their antigens through mutations during infection of the host. Unlike most of the literature, which models the dynamics with first-order differential equations, this paper proposes a Galton-Watson type branching process to describe stochastically by whole distributions the population dynamics of pathogens and immune cells. In the first model case, the pathogen of a given type is either eradicated or shows oscillatory chronic response. In the second model case, the pathogen shows variational behavior changing its antigen resulting in a prolonged immune reaction. Hindawi Publishing Corporation 2012 2012-12-02 /pmc/articles/PMC3574756/ /pubmed/23424603 http://dx.doi.org/10.1155/2012/784512 Text en Copyright © 2012 Christoph Kuhn. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Kuhn, Christoph
Immune Response to a Variable Pathogen: A Stochastic Model with Two Interlocked Darwinian Entities
title Immune Response to a Variable Pathogen: A Stochastic Model with Two Interlocked Darwinian Entities
title_full Immune Response to a Variable Pathogen: A Stochastic Model with Two Interlocked Darwinian Entities
title_fullStr Immune Response to a Variable Pathogen: A Stochastic Model with Two Interlocked Darwinian Entities
title_full_unstemmed Immune Response to a Variable Pathogen: A Stochastic Model with Two Interlocked Darwinian Entities
title_short Immune Response to a Variable Pathogen: A Stochastic Model with Two Interlocked Darwinian Entities
title_sort immune response to a variable pathogen: a stochastic model with two interlocked darwinian entities
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3574756/
https://www.ncbi.nlm.nih.gov/pubmed/23424603
http://dx.doi.org/10.1155/2012/784512
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