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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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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2012
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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. |
format | Online Article Text |
id | pubmed-3574756 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2012 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT kuhnchristoph immuneresponsetoavariablepathogenastochasticmodelwithtwointerlockeddarwinianentities |