Abstract
Virus pandemics and endemics cause enormous pain and costs. Major processes of the intracellular Hepatitis C virus (HCV) viral RNA (vRNA) replication cycle are restricted to the 2D Endoplasmatic Reticulum (ER) manifold, while others take place in the 3D cytosol volume. Modeling the interplay of the major components of the vRNA replication cycle with partial differential equations (PDEs), we establish a system of surface PDEs (sufPDEs) for effects restricted to manifolds coupled to PDEs describing volume effects. Using the diffusion coefficient of viral proteins which we estimated based on experimental data, we discretize the population-dynamics inspired nonlinear diffusion-reaction equation PDE/sufPDE system with the aid of a vertex-centered Finite Volume scheme and evaluate it at unstructured grids representing data based realistic reconstructed cell geometries. We describe the numerical techniques applied and demonstrate the numerical robustness of our simulations. Our framework might contribute to efficient development of antiviral drugs and potent vaccines.
Original language | English (US) |
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Title of host publication | Finite Volumes for Complex Applications 10—Volume 1, Elliptic and Parabolic Problems - FVCA10, 2023, Invited Contributions |
Editors | Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret, Jürgen Fuhrmann |
Publisher | Springer |
Pages | 315-323 |
Number of pages | 9 |
ISBN (Print) | 9783031408632 |
DOIs | |
State | Published - 2023 |
Event | 10th International Symposium on Finite Volumes for Complex Applications, FVCA10 2023 - Strasbourg, France Duration: Oct 30 2023 → Nov 3 2023 |
Publication series
Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 432 |
ISSN (Print) | 2194-1009 |
ISSN (Electronic) | 2194-1017 |
Conference
Conference | 10th International Symposium on Finite Volumes for Complex Applications, FVCA10 2023 |
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Country/Territory | France |
City | Strasbourg |
Period | 10/30/23 → 11/3/23 |
Bibliographical note
Publisher Copyright:© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
Keywords
- PDEs
- Vertex centered finite volumes
- Virus replication
ASJC Scopus subject areas
- General Mathematics