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Infectious Diseases
and STD-AIDS
Infectious Diseases and STD-AIDS 2018
Journal of Transmitted Diseases and Immunity
ISSN 2471-8084
A p r i l 2 6 , 2 7 2 0 1 8
R o m e , I t a l y
Page 69
J Transm Dis Immun 2018 Volume 2
DOI: 10.21767/2573-0320-C1-003
I
nfectious diseases pose great threat in global public health. One of such devastating and killer diseases is Acquired Immunodeficiency
Syndrome (AIDS) and its etiologic agent Human Immunodeficiency Virus (HIV) which is the world’s most leading cause of mortality
until today. In absence of vaccine, immunotherapy is the most effective treatment strategy for HIV positive patients. Highly Active
Anti-Retroviral Therapy (HAART) has become important for such treatment of HIV infection aiming to develop the internal immunity
of the HIV positive patients so that body itself can fight against the pathogen. In this talk, we discuss a HIV immunology model in
terms of nonlinear ordinary differential equations (ODEs) with the help of optimal control techniques. Optimal control theory has long
history in modelling the nonlinear behaviour of human physiological control system and thus plays significant role in obtaining optimal
control strategy of infectious diseases. It has been challenging to understand themysteriousmechanismof host-pathogen interactions
of the underlying disease inside human body. Optimal control of nonlinear ODEs in terms of mathematical modeling in biomedical
engineering has been successfully modelled and designed to understand the evolution of disease dynamics. Since 1980 several
models have been proposed and studied most of which were studied using optimal control techniques in absence of constraints. So
application of optimal control with constraints in infectious diseases is sparse in existing literature. Here, we propose a modified HIV
model introducing state constraint to the dynamics aiming to find optimal immunotherapeutic treatment strategy using optimal control
technique where state constraint may play crucial role. This newmodel has been analysed numerically and the simulation results have
been presented in support of analytical findings. We show that introduction of state constraint to the model have significant effect to
the immunotherapeutic treatment for obtaining more realistic control strategies of such diseases.
mhabiswas@yahoo.comAdvancesofHAARTtothe immunotherapeutictreat-
ment of HIV infection: an optimal control approach
M. H. A. Biswas and U. K. Mallick
Khulna University, Bangladesh