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We formulate a dynamic mathematical model that describes the interaction of the immune system with the human immunodeficiency virus (HIV) and that permits drug "cocktail " therapies. We derive HIV therapeutic strategies by formulating and analyzing an optimal control problem using two types of dynamic treatments representing reverse transcriptase (RT) in… (More)

- B M Adams, H T Banks, M Davidian, Hee-Dae Kwon, H T Tran, S N Wynne +1 other
- 2004

We present an overview of some concepts and methodologies we believe useful in modeling HIV pathogenesis. After a brief discussion of motivation for and previous efforts in the development of mathematical models for progression of HIV infection and treatment, we discuss mathematical and statistical ideas relevant to Structured Treatment Interruptions (STI).… (More)

- H T Banks, Hee-Dae Kwon, J A Toivanen, H T Tran
- 2005

We consider optimal dynamic multidrug therapies for human immunodeficiency virus (HIV) type 1 infection. In this context we describe an optimal tracking problem attempting to drive the states of the system to a stationary state in which the viral load is low and the immune response is strong. We consider optimal feedback control with full state as well as… (More)

We investigate the optimal treatment strategies with an age-structured model of HIV infection. The age-structured model allows for variations in the virion production rate and the death rate of infected T cells as a function of age, which is the length of time since infection. We derive the optimal therapy protocols by formulating and analyzing an optimal… (More)

- Sun Bean Kim, Myoungho Yoon, Nam Su Ku, Min Hyung Kim, Je Eun Song, Jin Young Ahn +6 others
- PloS one
- 2014

BACKGROUND
Multiple prevention measures have the possibility of impacting HIV incidence in South Korea, including early diagnosis, early treatment, and pre-exposure prophylaxis (PrEP). We investigated how each of these interventions could impact the local HIV epidemic, especially among men who have sex with men (MSM), who have become the major risk group in… (More)

We consider the increasingly important and highly complex immunological control problem: control of the dynamics of immunosuppression for organ transplant recipients. The goal in this problem is to maintain the delicate balance between over-suppression (where opportunistic latent viruses threaten the patient) and under-suppression (where rejection of the… (More)