title: Optimal control of the chemotherapy of HIV.
abstract: Using an existing ordinary differential equation model which describes the interaction of the immune system with the human immunodeficiency virus (HIV), we introduce chemotherapy in an early treatment setting through a dynamic treatment and then solve for an optimal chemotherapy strategy. The control represents the percentage of effect the chemotherapy has on the viral production. Using an objective function based on a combination of maximizing benefits based on T cell counts and minimizing the systemic cost of chemotherapy (based on high drug dose/strength), we solve for the optimal control in the optimality system composed of four ordinary differential equations and four adjoint ordinary differential equations.
authors.affiliation: Department of Mathematics, Texas A and M University, College Station 77843, USA.
authors.forename: D
authors.initials: D
authors.lastname: Kirschner
authors.forename: S
authors.initials: S
authors.lastname: Lenhart
authors.forename: S
authors.initials: S
authors.lastname: Serbin
mesh_terms: D019380:Anti-HIV Agents / Q000008:administration & dosage / Q000627:therapeutic use*; D018791:CD4 Lymphocyte Count; D004334:Drug Administration Schedule; D006678:HIV / Q000254:growth & development / Q000302:isolation & purification; D015658:HIV Infections / Q000188:drug therapy* / Q000276:immunology; D006801:Humans; D018655:Lymphocyte Count; D018448:Models, Immunological; D008962:Models, Theoretical; D013601:T-Lymphocytes / Q000276:immunology
chemical_list: D019380:Anti-HIV Agents