The impact of immune cell interactions on virus quasi-species formation
The process of viral infection spreading in tissues was influenced by various factors, including virus replication within host cells, transportation, and the immune response. Reaction-diffusion systems provided a suitable framework for examining this process. In this work, we studied a nonlocal reac...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2024331 |
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| _version_ | 1832590791258669056 |
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| author | Ali Moussaoui Vitaly Volpert |
| author_facet | Ali Moussaoui Vitaly Volpert |
| author_sort | Ali Moussaoui |
| collection | DOAJ |
| description | The process of viral infection spreading in tissues was influenced by various factors, including virus replication within host cells, transportation, and the immune response. Reaction-diffusion systems provided a suitable framework for examining this process. In this work, we studied a nonlocal reaction-diffusion system of equations that modeled the distribution of viruses based on their genotypes and their interaction with the immune response. It was shown that the infection may persist at a certain level alongside a chronic immune response, exhibiting spatially uniform or oscillatory behavior. Finally, the immune cells may become entirely depleted, leading to a high viral load persisting in the tissue. Numerical simulations were employed to elucidate the nonlinear dynamics and pattern formation inherent in the nonlocal model. |
| format | Article |
| id | doaj-art-075e241ecd3f4de6b6fef1bab0a3c88d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-075e241ecd3f4de6b6fef1bab0a3c88d2025-01-23T07:48:07ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-11-0121117530755310.3934/mbe.2024331The impact of immune cell interactions on virus quasi-species formationAli Moussaoui0Vitaly Volpert1Laboratoire d'Analyse Non Linéaire et Mathématiques Appliquées, Department of Mathematics, Faculty of Science, University of Tlemcen, 13000, AlgeriaInstitut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne 69622, FranceThe process of viral infection spreading in tissues was influenced by various factors, including virus replication within host cells, transportation, and the immune response. Reaction-diffusion systems provided a suitable framework for examining this process. In this work, we studied a nonlocal reaction-diffusion system of equations that modeled the distribution of viruses based on their genotypes and their interaction with the immune response. It was shown that the infection may persist at a certain level alongside a chronic immune response, exhibiting spatially uniform or oscillatory behavior. Finally, the immune cells may become entirely depleted, leading to a high viral load persisting in the tissue. Numerical simulations were employed to elucidate the nonlinear dynamics and pattern formation inherent in the nonlocal model.https://www.aimspress.com/article/doi/10.3934/mbe.2024331virus density distributionnonlocal interactiongenotype spaceimmune responsereaction-diffusion model |
| spellingShingle | Ali Moussaoui Vitaly Volpert The impact of immune cell interactions on virus quasi-species formation Mathematical Biosciences and Engineering virus density distribution nonlocal interaction genotype space immune response reaction-diffusion model |
| title | The impact of immune cell interactions on virus quasi-species formation |
| title_full | The impact of immune cell interactions on virus quasi-species formation |
| title_fullStr | The impact of immune cell interactions on virus quasi-species formation |
| title_full_unstemmed | The impact of immune cell interactions on virus quasi-species formation |
| title_short | The impact of immune cell interactions on virus quasi-species formation |
| title_sort | impact of immune cell interactions on virus quasi species formation |
| topic | virus density distribution nonlocal interaction genotype space immune response reaction-diffusion model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2024331 |
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