Parameters identification for a model of T cell homeostasis
In this study, we consider a model of T cell homeostasis based on the Smith-Martin model. This nonlinear model is structured by age and CD44 expression. First, we establish the mathematical well-posedness of the model system. Next, we prove the theoretical identifiability regarding the up-regulation...
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| Format: | Article |
| Language: | English |
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AIMS Press
2015-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.917 |
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| author | Houssein Ayoub Bedreddine Ainseba Michel Langlais Rodolphe Thiébaut |
| author_facet | Houssein Ayoub Bedreddine Ainseba Michel Langlais Rodolphe Thiébaut |
| author_sort | Houssein Ayoub |
| collection | DOAJ |
| description | In this study, we consider a model of T cell homeostasis based on the Smith-Martin model. This nonlinear model is structured by age and CD44 expression. First, we establish the mathematical well-posedness of the model system. Next, we prove the theoretical identifiability regarding the up-regulation of CD44, the proliferation time phase and the rate of entry into division, by using the experimental data. Finally, we compare two versions of the Smith-Martin model and we identify which model fits the experimental data best. |
| format | Article |
| id | doaj-art-9d9db2a3a7174a1ab69357bd078775d9 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9d9db2a3a7174a1ab69357bd078775d92025-01-24T02:33:19ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-05-0112591793610.3934/mbe.2015.12.917Parameters identification for a model of T cell homeostasisHoussein Ayoub0Bedreddine Ainseba1Michel Langlais2Rodolphe Thiébaut3IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux CedexIMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux CedexIMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux CedexINSERM U897, ISPED, Bordeaux University, BordeauxIn this study, we consider a model of T cell homeostasis based on the Smith-Martin model. This nonlinear model is structured by age and CD44 expression. First, we establish the mathematical well-posedness of the model system. Next, we prove the theoretical identifiability regarding the up-regulation of CD44, the proliferation time phase and the rate of entry into division, by using the experimental data. Finally, we compare two versions of the Smith-Martin model and we identify which model fits the experimental data best.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.917partial differential equationsparameters identification.t cell homeostasiscd44 |
| spellingShingle | Houssein Ayoub Bedreddine Ainseba Michel Langlais Rodolphe Thiébaut Parameters identification for a model of T cell homeostasis Mathematical Biosciences and Engineering partial differential equations parameters identification. t cell homeostasis cd44 |
| title | Parameters identification for a model of T cell homeostasis |
| title_full | Parameters identification for a model of T cell homeostasis |
| title_fullStr | Parameters identification for a model of T cell homeostasis |
| title_full_unstemmed | Parameters identification for a model of T cell homeostasis |
| title_short | Parameters identification for a model of T cell homeostasis |
| title_sort | parameters identification for a model of t cell homeostasis |
| topic | partial differential equations parameters identification. t cell homeostasis cd44 |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.917 |
| work_keys_str_mv | AT housseinayoub parametersidentificationforamodeloftcellhomeostasis AT bedreddineainseba parametersidentificationforamodeloftcellhomeostasis AT michellanglais parametersidentificationforamodeloftcellhomeostasis AT rodolphethiebaut parametersidentificationforamodeloftcellhomeostasis |