An HIV model with CTL and drug-resistant mutants, and optimal drug scheduling

CTL과 바이러스 변이를 고려한 HIV 모형과 최적 제어를 이용한 약물 투여 전략

  • 이지형 (고려대학교 전자전기공학과) ;
  • 윤태웅 (고려대학교 전기전자전파공학부)
  • Published : 2009.05.07

Abstract

Mathematical models for describing the Human Immunodeficiency Virus(HIV) infection can be devised to better understand how the HIV causes Acquired Immune Deficiency Syndrome(AIDS). The HIV models can then be used to find clues to curing AIDS from a control theoretical point of view. Some models take Cytotoxic T Lymphocytes(CTL) response to HIV infection into account, and others consider mutants against the drugs. However, to the best of our knowledge, there has been no model developed, which describes CTL response and mutant HIV together. Hence we propose a unified model to consider both of these. On the basis of the resulting model, we also present a Model Predictive Control(MPC) scheme to find an optimal treatment strategy. The optimization is performed under the assumption that the Structured Treatment Interruption(STI) policy is employed.

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