Journal article

Designing combination therapies using multiple optimal controls

Jesse Sharp, Alexander Browning, Tarunendu Mapder, Christopher Baker, Kevin Burrage, Matthew Simpson

Cold Spring Harbor Laboratory | Published : 2019

Abstract

Strategic management of populations of interacting biological species routinely requires interventions combining multiple treatments or therapies. This is important in key research areas such as ecology, epidemiology, wound healing and oncology. Despite the well developed theory and techniques for determining single optimal controls, there is limited practical guidance supporting implementation of combination therapies. In this work we use optimal control theory to calculate optimal strategies for applying combination therapies to a model of acute myeloid leukaemia. We consider various combinations of continuous and bang-bang (discrete) controls, and we investigate how the control dynamics i..

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