Modeling the interaction of cytotoxic T lymphocytes and influenzavirus infected epithelial cells
The aim of this work is to investigate the mechanisms involved in the clearance ofviral infection of the influenza virus at the epithelium level by modeling and analyzingthe interaction of the influenza virus specific cytotoxic T Lymphocytes (CTL cells) and theinfluenza virus infected epithelial cel...
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| Format: | Article |
| Language: | English |
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AIMS Press
2009-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.171 |
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| author | Abdessamad Tridane Yang Kuang |
| author_facet | Abdessamad Tridane Yang Kuang |
| author_sort | Abdessamad Tridane |
| collection | DOAJ |
| description | The aim of this work is to investigate the mechanisms involved in the clearance ofviral infection of the influenza virus at the epithelium level by modeling and analyzingthe interaction of the influenza virus specific cytotoxic T Lymphocytes (CTL cells) and theinfluenza virus infected epithelial cells. Since detailed and definite mechanisms thattrigger CTL production and cell death are still debatable, we utilize two plausiblemathematical models for the CTLs response to influenza infection (i) logisticgrowth and (ii) threshold growth. These models incorporate the simulatingeffect of the production of CTLs during the infection. The systematicalanalysis of these models show that the behaviors of the models are similar when CTLdensity is high and in which case both generate reasonable dynamics. However, bothmodels failed to produce the desirable and natural clearance dynamic.Nevertheless, at lower CTL density, the threshold model shows the possibility ofexistence of a 'lower' equilibrium. This sub-threshold equilibrium may representdose-dependent immune response to low level infection. |
| format | Article |
| id | doaj-art-d6892726ceeb4d1f834db768d9acd88f |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-d6892726ceeb4d1f834db768d9acd88f2025-01-24T02:00:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-12-017117118510.3934/mbe.2010.7.171Modeling the interaction of cytotoxic T lymphocytes and influenzavirus infected epithelial cellsAbdessamad Tridane0Yang Kuang1Applied Sciences and Mathematics Department, Arizona State University at the Polytechnic campus, Mesa, Arizona, 85212Applied Sciences and Mathematics Department, Arizona State University at the Polytechnic campus, Mesa, Arizona, 85212The aim of this work is to investigate the mechanisms involved in the clearance ofviral infection of the influenza virus at the epithelium level by modeling and analyzingthe interaction of the influenza virus specific cytotoxic T Lymphocytes (CTL cells) and theinfluenza virus infected epithelial cells. Since detailed and definite mechanisms thattrigger CTL production and cell death are still debatable, we utilize two plausiblemathematical models for the CTLs response to influenza infection (i) logisticgrowth and (ii) threshold growth. These models incorporate the simulatingeffect of the production of CTLs during the infection. The systematicalanalysis of these models show that the behaviors of the models are similar when CTLdensity is high and in which case both generate reasonable dynamics. However, bothmodels failed to produce the desirable and natural clearance dynamic.Nevertheless, at lower CTL density, the threshold model shows the possibility ofexistence of a 'lower' equilibrium. This sub-threshold equilibrium may representdose-dependent immune response to low level infection.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.171cytotoxic t lymphocytesimmune responseinfluenza virusmathematical model. |
| spellingShingle | Abdessamad Tridane Yang Kuang Modeling the interaction of cytotoxic T lymphocytes and influenzavirus infected epithelial cells Mathematical Biosciences and Engineering cytotoxic t lymphocytes immune response influenza virus mathematical model. |
| title | Modeling the interaction of cytotoxic T lymphocytes and influenzavirus infected epithelial cells |
| title_full | Modeling the interaction of cytotoxic T lymphocytes and influenzavirus infected epithelial cells |
| title_fullStr | Modeling the interaction of cytotoxic T lymphocytes and influenzavirus infected epithelial cells |
| title_full_unstemmed | Modeling the interaction of cytotoxic T lymphocytes and influenzavirus infected epithelial cells |
| title_short | Modeling the interaction of cytotoxic T lymphocytes and influenzavirus infected epithelial cells |
| title_sort | modeling the interaction of cytotoxic t lymphocytes and influenzavirus infected epithelial cells |
| topic | cytotoxic t lymphocytes immune response influenza virus mathematical model. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.171 |
| work_keys_str_mv | AT abdessamadtridane modelingtheinteractionofcytotoxictlymphocytesandinfluenzavirusinfectedepithelialcells AT yangkuang modelingtheinteractionofcytotoxictlymphocytesandinfluenzavirusinfectedepithelialcells |