Journal article

Designing combination therapies using multiple optimal controls

Jesse A Sharp, Alexander P Browning, Tarunendu Mapder, Christopher M Baker, Kevin Burrage, Matthew J Simpson

JOURNAL OF THEORETICAL BIOLOGY | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | Published : 2020

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 present a versatile framework to systematically explore the trade-offs that arise in designing combination therapy protocols..

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University of Melbourne Researchers

Grants

Awarded by Air Force Office of Scientific Research


Awarded by Australian Research Council


Funding Acknowledgements

This work is supported by the Air Force Office of Scientific Research (BAA-AFRL-AFOSR-2016-0007) and the Australian Research Council (DP170100474). Computational resources were provided by the eResearch Office at QUT. J.A.S gratefully acknowledges support from the Australian Government Research Training Program and the AF Pillow Applied Mathematics Trust. We thank the three referees for their helpful comments and suggestions.