Next Article in Journal
From Cayley-Dickson Algebras to Combinatorial Grassmannians
Next Article in Special Issue
Modeling ITNs Usage: Optimal Promotion Programs Versus Pure Voluntary Adoptions
Previous Article in Journal
Construction of Periodic Wavelet Frames Generated by the Walsh Polynomials
Previous Article in Special Issue
The San Francisco MSM Epidemic: A Retrospective Analysis
Article Menu

Export Article

Open AccessArticle
Mathematics 2015, 3(4), 1139-1170; doi:10.3390/math3041139

HIV vs. the Immune System: A Differential Game

1
Department of Mathematics, University of Padova, Via Trieste 63, Padova 35121, Italy
2
IOV-IRCCS, Via Gattamelata 64, Padova 35128, Italy
*
Author to whom correspondence should be addressed.
Academic Editor: Bruno Buonomo
Received: 17 July 2015 / Revised: 6 November 2015 / Accepted: 19 November 2015 / Published: 3 December 2015
(This article belongs to the Special Issue Optimal Control and Management of Infectious Diseases)
View Full-Text   |   Download PDF [575 KB, uploaded 3 December 2015]   |  

Abstract

A differential game is formulated in order to model the interaction between the immune system and the HIV virus. One player is represented by the immune system of a patient subject to a therapeutic treatment and the other player is the HIV virus. The aim of our study is to determine the optimal therapy that allows to prevent viral replication inside the body, so as to reduce the damage caused to the immune system, and allow greater survival and quality of life. We propose a model that considers all the most common classes of antiretroviral drugs taking into account different immune cells dynamics. We validate the model with numerical simulations, and determine optimal structured treatment interruption (STI) schedules for medications. View Full-Text
Keywords: mathematical modeling; human Immunodeficiency virus (HIV); acquired immunodeficiency syndrome (AIDS); differential games mathematical modeling; human Immunodeficiency virus (HIV); acquired immunodeficiency syndrome (AIDS); differential games
Figures

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Buratto, A.; Cesaretto, R.; Zamarchi, R. HIV vs. the Immune System: A Differential Game. Mathematics 2015, 3, 1139-1170.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top