Multiscale modelling of hepatitis B virus at cell level of organization

Huguette Laure Wamba Makeng; Ivric Valaire Yatat-Djeumen; Bothwell Maregere; Rendani Netshikweta; Jean Jules Tewa; Winston Garira; Huguette Laure Wamba Makeng; Ivric Valaire Yatat-Djeumen; Bothwell Maregere; Rendani Netshikweta; Jean Jules Tewa; Winston Garira

doi:10.3934/mbe.2024317

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 9: 7165-7193. doi: 10.3934/mbe.2024317

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Multiscale modelling of hepatitis B virus at cell level of organization

1.
National Advanced School of Engineering, University of Yaoundé I, PoBox 8390, Cameroon
2.
UMR Amap, University of Montpellier, CIRAD, CNRS, INRA, IRD, F-34398 Monrtpellier, France
3.
Modelling Health and Environmental Linkages Research Group (MHELRG), Department of Mathematical and Computational Sciences, University of Venda, South Africa
4.
Multiscale Modelling of Living Systems Program (MM-LSP), Department of Mathematical Sciences, Sol Plaatje University, Private Bag X5008, Kimberley 8300, South Africa

Received: 14 November 2023 Revised: 07 March 2024 Accepted: 29 May 2024 Published: 27 September 2024

Multiscale modelling is a promising quantitative approach for studying infectious disease dynamics. This approach garners attention from both individuals who model diseases and those who plan for public health because it has great potential to contribute in expanding the understanding necessary for managing, reducing, and potentially exterminating infectious diseases. In this article, we developed a nested multiscale model of hepatitis B virus (HBV) that integrates the within-cell scale and the between-cell scale at cell level of organization of this disease system. The between-cell scale is linked to the within-cell scale by a once off inflow of initial viral infective inoculum dose from the between-cell scale to the within-cell scale through the process of infection; the within-cell scale is linked to the between-cell scale through the outflow of the virus from the within-cell scale to the between-cell scale through the process of viral shedding or excretion. The resulting multiple scales model is bidirectionally coupled in such a way that the within-cell scale and between-cell scale sub-models mutually affect each other, creating a reciprocal relationship. The computed reproductive number from the multiscale model confirms that the within-host scale and the between-host scale influence each other in a reciprocal manner. Numerical simulations are presented that also confirm the theoretical results and support the initial assumption that the within-cell scale and the between-cell scale influence each other in a reciprocal manner. This multiple scales modeling approach serves as a valuable tool for assessing the impact and success of health strategies aimed at controlling hepatitis B virus disease system.
- hepatitis B virus,
- multiscale modeling of viral diseases,
- scales integration,
- within-cell scale,
- between-cell scale
Citation: Huguette Laure Wamba Makeng, Ivric Valaire Yatat-Djeumen, Bothwell Maregere, Rendani Netshikweta, Jean Jules Tewa, Winston Garira. Multiscale modelling of hepatitis B virus at cell level of organization[J]. Mathematical Biosciences and Engineering, 2024, 21(9): 7165-7193. doi: 10.3934/mbe.2024317

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Abstract

Multiscale modelling is a promising quantitative approach for studying infectious disease dynamics. This approach garners attention from both individuals who model diseases and those who plan for public health because it has great potential to contribute in expanding the understanding necessary for managing, reducing, and potentially exterminating infectious diseases. In this article, we developed a nested multiscale model of hepatitis B virus (HBV) that integrates the within-cell scale and the between-cell scale at cell level of organization of this disease system. The between-cell scale is linked to the within-cell scale by a once off inflow of initial viral infective inoculum dose from the between-cell scale to the within-cell scale through the process of infection; the within-cell scale is linked to the between-cell scale through the outflow of the virus from the within-cell scale to the between-cell scale through the process of viral shedding or excretion. The resulting multiple scales model is bidirectionally coupled in such a way that the within-cell scale and between-cell scale sub-models mutually affect each other, creating a reciprocal relationship. The computed reproductive number from the multiscale model confirms that the within-host scale and the between-host scale influence each other in a reciprocal manner. Numerical simulations are presented that also confirm the theoretical results and support the initial assumption that the within-cell scale and the between-cell scale influence each other in a reciprocal manner. This multiple scales modeling approach serves as a valuable tool for assessing the impact and success of health strategies aimed at controlling hepatitis B virus disease system.

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