Abstract for: System Dynamics, Optimal Control and Analytic Hierarchy Process applied to the Chemotherapy of Leukemia
The Myelogenous Leukemia (ML) is a neoplastic disease involving hematopoietic cells. A natural way to model its dynamics is by means of capturing cell cycle kinetics. In this work we develop a formal mathematical model where variables capture quantities involved in the cell cycle phases. It is in some of these phases that medications such as killing agents and recruitment agents can intervene to combat the neoplasic cells. Our work combines system dynamics, optimal control theory and Analytic Hierarchy Process to yield a chemotherapy optimized treatment protocol for instances of ML, tackling in a systematic way the subjectivity involved in the choice of the cost function coefficients.