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- B M Adams, H T Banks, Hee-Dae Kwon, Hien T Tran
- Mathematical biosciences and engineering : MBE
- 2004

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)

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)

- Hee-Dae Kwon
- Applied Mathematics and Computation
- 2007

- Djamila Moulay, M A Aziz-Alaoui, Hee-Dae Kwon
- Mathematical biosciences and engineering : MBE
- 2012

Since the 1980s, there has been a worldwide re-emergence of vector-borne diseases including Malaria, Dengue, Yellow fever or, more recently, chikungunya. These viruses are arthropod-borne viruses (arboviruses) transmitted by arthropods like mosquitoes of Aedes genus. The nature of these arboviruses is complex since it conjugates human, environmental,… (More)

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)

- Hee-Dae Kwon
- Applied Mathematics and Computation
- 2003

- Hee-Dae Kwon, Jeehyun Lee, Sung-Dae Yang
- Applied Mathematics and Computation
- 2012

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)

- Jeehyun Lee, Jungeun Kim, Hee-Dae Kwon
- Journal of theoretical biology
- 2013

This study considers an optimal intervention strategy for influenza outbreaks. Variations in the SEIAR model are considered to include seasonal forcing and age structure, and control strategies include vaccination, antiviral treatment, and social distancing such as school closures. We formulate an optimal control problem by minimizing the incidence of… (More)

- Sun Bean Kim, Myoungho Yoon, +9 authors Jun Yong Choi
- 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)

- Taesoo Jang, Hee-Dae Kwon, Jeehyun Lee
- Bulletin of mathematical biology
- 2011

The minimum duration of treatment periods and the optimal multidrug therapy for human immunodeficiency virus (HIV) type 1 infection are considered. We formulate an optimal tracking problem, attempting to drive the states of the model to a "healthy" steady state in which the viral load is low and the immune response is strong. We study an optimal time frame… (More)