HIV vs. the Immune System: A Differential Game

Mathematics

Alessandra Buratto¹  Rudy Cesaretto¹  Rita Zamarchi² 

[1] Department of Mathematics, University of Padova, Via Trieste 63, Padova 35121, Italy; E-Mail:;IOV-IRCCS, Via Gattamelata 64, Padova 35128, Italy; E-Mail:

关键词: mathematical modeling;    human Immunodeficiency virus (HIV);    acquired immunodeficiency syndrome (AIDS);    differential games;   

DOI  :  10.3390/math3041139

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.