Maureen_Masitah_Laurie_Madzvamuse.pdf (477.09 kB)
The stability analyses of the mathematical models of hepatitis C virus infection
journal contribution
posted on 2023-06-08, 19:40 authored by Maureen Siew Fang Chong, Masitah Shahrill, Laurie Crossley, Anotida MadzvamuseAnotida MadzvamuseThere 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 ScienceISSN
1913-1844Publisher
Canadian Center of Science and EducationExternal DOI
Issue
3Volume
9Page range
250-271Department affiliated with
- Physics and Astronomy Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2015-01-21First Open Access (FOA) Date
2015-01-21First Compliant Deposit (FCD) Date
2015-01-21Usage metrics
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