An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents
In a recent study, a mathematically identical ODE model is derived from a multiscale PDE model of hepatitis C virus infection, which helps to overcome the limitations of the PDE model in the analysis. Here, an extended proposed model is formulated for this transformed ODE model by including the hepa...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Biological Dynamics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2024.2423956 |
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| author | Hesham A. Elkaranshawy Hossam M. Ezzat |
| author_facet | Hesham A. Elkaranshawy Hossam M. Ezzat |
| author_sort | Hesham A. Elkaranshawy |
| collection | DOAJ |
| description | In a recent study, a mathematically identical ODE model is derived from a multiscale PDE model of hepatitis C virus infection, which helps to overcome the limitations of the PDE model in the analysis. Here, an extended proposed model is formulated for this transformed ODE model by including the hepatocyte proliferation of both uninfected and infected cells. Unlike the transformed model, the proposed model can predict the triphasic viral decline and the virus level after therapy cessation without oscillations. Numerical simulations are performed to investigate the effect of hepatocyte proliferation and therapy with direct-acting antivirals agents (DAAs). The basic reproduction number is obtained, the equilibrium points are specified, and their stability is analysed. A bifurcation analysis is performed to specify the bifurcation points and to study the effect of varying system parameters. Various viral load profiles generated by the model are confirmed to fit with reported data in the literature. |
| format | Article |
| id | doaj-art-7c8e04621bcc4914b976db093c6d06eb |
| institution | Kabale University |
| issn | 1751-3758 1751-3766 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj-art-7c8e04621bcc4914b976db093c6d06eb2024-12-09T08:03:23ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662024-12-0118110.1080/17513758.2024.2423956An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agentsHesham A. Elkaranshawy0Hossam M. Ezzat1Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria, EgyptDepartment of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria, EgyptIn a recent study, a mathematically identical ODE model is derived from a multiscale PDE model of hepatitis C virus infection, which helps to overcome the limitations of the PDE model in the analysis. Here, an extended proposed model is formulated for this transformed ODE model by including the hepatocyte proliferation of both uninfected and infected cells. Unlike the transformed model, the proposed model can predict the triphasic viral decline and the virus level after therapy cessation without oscillations. Numerical simulations are performed to investigate the effect of hepatocyte proliferation and therapy with direct-acting antivirals agents (DAAs). The basic reproduction number is obtained, the equilibrium points are specified, and their stability is analysed. A bifurcation analysis is performed to specify the bifurcation points and to study the effect of varying system parameters. Various viral load profiles generated by the model are confirmed to fit with reported data in the literature.https://www.tandfonline.com/doi/10.1080/17513758.2024.2423956Multiscale viral dynamicsHepatitis C virus HCVHepatocyte proliferationdirect-acting antivirals agents DAAsODEs stability and bifurcation34A34 |
| spellingShingle | Hesham A. Elkaranshawy Hossam M. Ezzat An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents Journal of Biological Dynamics Multiscale viral dynamics Hepatitis C virus HCV Hepatocyte proliferation direct-acting antivirals agents DAAs ODEs stability and bifurcation 34A34 |
| title | An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents |
| title_full | An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents |
| title_fullStr | An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents |
| title_full_unstemmed | An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents |
| title_short | An ODEs multiscale model with cell proliferation for hepatitis C virus infection treated with direct acting antiviral agents |
| title_sort | odes multiscale model with cell proliferation for hepatitis c virus infection treated with direct acting antiviral agents |
| topic | Multiscale viral dynamics Hepatitis C virus HCV Hepatocyte proliferation direct-acting antivirals agents DAAs ODEs stability and bifurcation 34A34 |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2024.2423956 |
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