Abstract

In the current paper, I research the influence of IL-2 therapy and I introduce the regulation by distributed feedback control with unbounded memory. The results of the stability analysis are presented. The proposed methodology in the article uses the properties of Cauchy matrix C(t,s), especially symmetry property, in order to study the behavior (stability) of the corresponding system of integro-differential equations.

Highlights

  • Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations

  • In practice, the described methods rarely lead to all of the desired goals. Another possible remedial strategy is based on the usage of interleukin-2 (IL-2) in a combination

  • The combined method with IL-2 therapy was based on the proposed mathematical model described by the system of integro-differential equations

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Interferons (α, β, and γ) are produces from cytokines in the human immune system as a response to infection They have strong confirmed antiviral reactions, and injections based on inteferons (alfa-2a and alfa-2b) can be used for an HBV cure. Five analogues based on inteferons have been approved by the USA: lamivudine, adefovir, entecavir, tenofovir disoproxil, and tenofovir alafenamide [1] Their primary usage is in stopping viral replication. In practice, the described methods rarely lead to all of the desired goals Another possible remedial strategy is based on the usage of interleukin-2 (IL-2) in a combination (NCT02360592 and NCT00451984). The combined method with IL-2 therapy was based on the proposed mathematical model described by the system of integro-differential equations.

Description of the Model
Simulations
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