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2018 Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
Karam Allali, Adil Meskaf, Abdessamad Tridane
Int. J. Differ. Equ. 2018(SI1): 1-13 (2018). DOI: 10.1155/2018/6710575

Abstract

The aim of this paper is to study the early stage of HBV infection and impact delay in the infection process on the adaptive immune response, which includes cytotoxic T-lymphocytes and antibodies. In this stage, the growth of the healthy hepatocyte cells is logistic while the growth of the infected ones is linear. To investigate the role of the treatment at this stage, we also consider two types of treatment: interferon-α (IFN) and nucleoside analogues (NAs). To find the best strategy to use this treatment, an optimal control approach is developed to find the possibility of having a functional cure to HBV.

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Karam Allali. Adil Meskaf. Abdessamad Tridane. "Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection." Int. J. Differ. Equ. 2018 (SI1) 1 - 13, 2018. https://doi.org/10.1155/2018/6710575

Information

Received: 29 August 2017; Revised: 18 November 2017; Accepted: 18 December 2017; Published: 2018
First available in Project Euclid: 17 March 2018

zbMATH: 06915959
MathSciNet: MR3762165
Digital Object Identifier: 10.1155/2018/6710575

Rights: Copyright © 2018 Hindawi

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Vol.2018 • No. SI1 • 2018
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