TY - JOUR T1 - Optimal control of HIV dynamic using embedding method. AU - Zarei,H, AU - Kamyad,A V, AU - Farahi,M H, Y1 - 2011/04/18/ PY - 2010/12/30/received PY - 2011/02/22/accepted PY - 2011/6/21/entrez PY - 2011/6/21/pubmed PY - 2011/10/15/medline SP - 674318 EP - 674318 JF - Computational and mathematical methods in medicine JO - Comput Math Methods Med VL - 2011 N2 - This present study proposes an optimal control problem, with the final goal of implementing an optimal treatment protocol which could maximize the survival time of patients and minimize the cost of drug utilizing a system of ordinary differential equations which describes the interaction of the immune system with the human immunodeficiency virus (HIV). Optimal control problem transfers into a modified problem in measure space using an embedding method in which the existence of optimal solution is guaranteed by compactness of the space. Then the metamorphosed problem is approximated by a linear programming (LP) problem, and by solving this LP problem a suboptimal piecewise constant control function, which is more practical from the clinical viewpoint, is achieved. The comparison between the immune system dynamics in treated and untreated patients is introduced. Finally, the relationships between the healthy cells and virus are shown. SN - 1748-6718 UR - https://www.unboundmedicine.com/medline/citation/21687584/Optimal_control_of_HIV_dynamic_using_embedding_method_ L2 - https://doi.org/10.1155/2011/674318 DB - PRIME DP - Unbound Medicine ER -