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On the Coupling of Two Models of the Human Immune Response to an Antigen
The development of mathematical models of the immune response allows a better understanding of the multifaceted mechanisms of the defense system. The main purpose of this work is to present a scheme for coupling distinct models of different scales and aspects of the immune system. As an example, we...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2014
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4130187/ https://www.ncbi.nlm.nih.gov/pubmed/25140313 http://dx.doi.org/10.1155/2014/410457 |
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author | Quintela, Bárbara de M. dos Santos, Rodrigo Weber Lobosco, Marcelo |
author_facet | Quintela, Bárbara de M. dos Santos, Rodrigo Weber Lobosco, Marcelo |
author_sort | Quintela, Bárbara de M. |
collection | PubMed |
description | The development of mathematical models of the immune response allows a better understanding of the multifaceted mechanisms of the defense system. The main purpose of this work is to present a scheme for coupling distinct models of different scales and aspects of the immune system. As an example, we propose a new model where the local tissue inflammation processes are simulated with partial differential equations (PDEs) whereas a system of ordinary differential equations (ODEs) is used as a model for the systemic response. The simulation of distinct scenarios allows the analysis of the dynamics of various immune cells in the presence of an antigen. Preliminary results of this approach with a sensitivity analysis of the coupled model are shown but further validation is still required. |
format | Online Article Text |
id | pubmed-4130187 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
spelling | pubmed-41301872014-08-19 On the Coupling of Two Models of the Human Immune Response to an Antigen Quintela, Bárbara de M. dos Santos, Rodrigo Weber Lobosco, Marcelo Biomed Res Int Research Article The development of mathematical models of the immune response allows a better understanding of the multifaceted mechanisms of the defense system. The main purpose of this work is to present a scheme for coupling distinct models of different scales and aspects of the immune system. As an example, we propose a new model where the local tissue inflammation processes are simulated with partial differential equations (PDEs) whereas a system of ordinary differential equations (ODEs) is used as a model for the systemic response. The simulation of distinct scenarios allows the analysis of the dynamics of various immune cells in the presence of an antigen. Preliminary results of this approach with a sensitivity analysis of the coupled model are shown but further validation is still required. Hindawi Publishing Corporation 2014 2014-07-22 /pmc/articles/PMC4130187/ /pubmed/25140313 http://dx.doi.org/10.1155/2014/410457 Text en Copyright © 2014 Bárbara de M. Quintela et al. 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 Quintela, Bárbara de M. dos Santos, Rodrigo Weber Lobosco, Marcelo On the Coupling of Two Models of the Human Immune Response to an Antigen |
title | On the Coupling of Two Models of the Human Immune Response to an Antigen |
title_full | On the Coupling of Two Models of the Human Immune Response to an Antigen |
title_fullStr | On the Coupling of Two Models of the Human Immune Response to an Antigen |
title_full_unstemmed | On the Coupling of Two Models of the Human Immune Response to an Antigen |
title_short | On the Coupling of Two Models of the Human Immune Response to an Antigen |
title_sort | on the coupling of two models of the human immune response to an antigen |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4130187/ https://www.ncbi.nlm.nih.gov/pubmed/25140313 http://dx.doi.org/10.1155/2014/410457 |
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