On fractional order models for Hepatitis C

In this paper we present a fractional order generalization of Perelson et al. basic hepatitis C virus (HCV) model including an immune response term. We argue that fractional order equations are more suitable than integer order ones in modeling complex systems which include biological systems. The mo...

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Detalles Bibliográficos
Autores principales: Ahmed, E, El-Saka, H A
Formato: Texto
Lenguaje:English
Publicado: BioMed Central 2010
Materias:
Debate
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2848051/
https://www.ncbi.nlm.nih.gov/pubmed/20236553
http://dx.doi.org/10.1186/1753-4631-4-1
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author Ahmed, E
El-Saka, H A
author_facet Ahmed, E
El-Saka, H A
author_sort Ahmed, E
collection PubMed
description In this paper we present a fractional order generalization of Perelson et al. basic hepatitis C virus (HCV) model including an immune response term. We argue that fractional order equations are more suitable than integer order ones in modeling complex systems which include biological systems. The model is presented and discussed. Also we argue that the added immune response term represents some basic properties of the immune system and that it should be included to study longer term behavior of the disease.
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spelling pubmed-28480512010-04-01 On fractional order models for Hepatitis C Ahmed, E El-Saka, H A Nonlinear Biomed Phys Debate In this paper we present a fractional order generalization of Perelson et al. basic hepatitis C virus (HCV) model including an immune response term. We argue that fractional order equations are more suitable than integer order ones in modeling complex systems which include biological systems. The model is presented and discussed. Also we argue that the added immune response term represents some basic properties of the immune system and that it should be included to study longer term behavior of the disease. BioMed Central 2010-03-18 /pmc/articles/PMC2848051/ /pubmed/20236553 http://dx.doi.org/10.1186/1753-4631-4-1 Text en Copyright ©2010 Ahmed and El-Saka; licensee BioMed Central Ltd. http://creativecommons.org/licenses/by/2.0 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Debate
Ahmed, E
El-Saka, H A
On fractional order models for Hepatitis C
title On fractional order models for Hepatitis C
title_full On fractional order models for Hepatitis C
title_fullStr On fractional order models for Hepatitis C
title_full_unstemmed On fractional order models for Hepatitis C
title_short On fractional order models for Hepatitis C
title_sort on fractional order models for hepatitis c
topic Debate
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2848051/
https://www.ncbi.nlm.nih.gov/pubmed/20236553
http://dx.doi.org/10.1186/1753-4631-4-1
work_keys_str_mv AT ahmede onfractionalordermodelsforhepatitisc
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