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A New Model for the Dynamics of Hepatitis C Infection: Derivation, Analysis and Implications

Aston, Philip (2018) A New Model for the Dynamics of Hepatitis C Infection: Derivation, Analysis and Implications Viruses, 10 (4), 195.

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We review various existing models of hepatitis C (HCV) infection and show that there are inconsistencies between the models and known behaviour of the infection. A new model for HCV infection is proposed, based on various dynamical processes that occur during the infection that are described in the literature. This new model is analysed and three steady state branches of solutions are found when there is no stem cell generation of hepatocytes. Unusually, the branch of infected solutions that connects the uninfected branch and the pure infection branch can be found analytically and always includes a limit point. When the action of stem cells is included, the bifurcation between the pure infection and infected branches unfolds, leaving a single branch of infected solutions. It is shown that this model can generate various viral load profiles that have been described in the literature which is confirmed by fitting the model to four viral load datasets. Suggestions for possible changes in treatment are made based on the model.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Date : 13 April 2018
DOI : 10.3390/v10040195
Copyright Disclaimer : Copyright 2018 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
Uncontrolled Keywords : HCV infection; Mathematical model; Steady state solutions; Bifurcations
Additional Information : This article belongs to the Special Issue Mathematical Modeling of Viral Infections
Depositing User : Melanie Hughes
Date Deposited : 12 Apr 2018 13:19
Last Modified : 01 Nov 2019 15:21

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