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The stability analyses of the mathematical models of hepatitis C virus infection

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journal contribution
posted on 2023-06-08, 19:40 authored by Maureen Siew Fang Chong, Masitah Shahrill, Laurie Crossley, Anotida MadzvamuseAnotida Madzvamuse
There are two mathematical models of Hepatitis C virus (HCV) being discussed; the original model of HCV viral dynamics (Neumann et al., 1998) and its extended model (Dahari et al., 2007). The key aspects of the mathematical models have provided resources for analysing the stability of the uninfected and the infected steady states, in evaluating the antiviral effectiveness of therapy and for estimating the ranges of values of the parameters for clinical treatment. The original model is considered to be a deterministic model because of the predictive nature of the antiviral therapy within the constant target cells. Numerical simulations are carried out in the extended model, to explain the stability of the steady states in the absence or existence of migration in hepatocytes and, drug efficacy in treating HCV infection.

Funding

Unravelling new mathematics for 3D cell migration; G1438; LEVERHULME TRUST; RPG-2014-149

Mathematical Modelling and Analysis of Spatial Patterning on Evolving Surfaces; G0872; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/J016780/1

History

Publication status

  • Published

File Version

  • Published version

Journal

Modern Applied Science

ISSN

1913-1844

Publisher

Canadian Center of Science and Education

Issue

3

Volume

9

Page range

250-271

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2015-01-21

First Open Access (FOA) Date

2015-01-21

First Compliant Deposit (FCD) Date

2015-01-21

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