An (SDARE) Based Treatment Scheduling For Enhancing Immune Response to (HIV)

Abstract

In this paper, the problem of designing dynamic multidrug therapies scheduling tomedicate the Human Immunodeficiency Virus (HIV) type 1 infection is described. Thecontrol approach used for this purpose is the “State Dependent Algebraic RiccatiEquation”, (SDARE), which is one of the highly promising and rapidly emergingmethodologies for designing nonlinear feedback controllers. A nonlinear dynamicalmodel which consists of six states, where the interaction of the (HIV) particles with theimmune system of a human being, and the Highly Active Antiretrovirus Therapy(HAART) as Control Inputs are described, and employed to design the dynamicalmultidrug therapies.The (SDARE) approach is applied to the (HIV) mathematical model to design asuboptimal tracking controller to drive the states of the (HIV) model to a stationary statein which the immune system of the (HIV) patient can be bolstered enough against thevirus in a way to lead to long-term control of the (HIV) by the immune System of (HIV)patient by itself after discontinuation of therapy.