On Optimal Therapy Protocols in the Mathematical Model of Prostate Cancer Progression

Authors

  • Marie-Christin Litzinger University of Applied Sciences, Mannheim, Germany
  • Y. Todorov University of Applied Sciences, Mannheim, Germany
  • Miriam Foller-Nord University of Applied Sciences, Mannheim, Germany
  • Manitjaiswal K. Chaudhary Nikolsky Mathematical Institute, Rudn University, Moscow, Russia
  • Alexander S. Bratus Russian University of Transport, Moscow, Russia; Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia

DOI:

https://doi.org/10.25728/assa.2020.20.4.998

Keywords:

prostate cancer, androgen ablation, therapy strategies, optimal control, state constraint

Abstract

A mathematical model for the treatment of prostate cancer regarding androgen ablation is considered. The effect of the therapy on healthy cells is taken into account and modelled as a second order state constraint. A mathematical overview about possible therapy strategies is presented.

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Published

2021-01-01

How to Cite

Litzinger, M.-C., Todorov, Y., Foller-Nord, M., Chaudhary, M. K., & Bratus, A. S. (2021). On Optimal Therapy Protocols in the Mathematical Model of Prostate Cancer Progression. Advances in Systems Science and Applications, 20(4), 83–104. https://doi.org/10.25728/assa.2020.20.4.998