On optimal therapy protocols in the mathematical model of prostate cancer progression

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. © 2020 ASSA.

Authors
Litzinger M.-C.1 , Todorov Y.1 , Föller-Nord M.1 , Chaudhary M.K. 2 , Bratus A.S.3, 4
Journal
Advances in Systems Science and Applications
Publisher
International Institute for General Systems Studies
Number of issue
4
Language
English
Pages
83-104
Status
Published
Link
External link
DOI
10.25728/ASSA.2020.20.4.998
Volume
20
Year
2020
Organizations
  • 1 University of Applied Sciences, Paul-Wittsack-Str. 10, Mannheim, 68163, Germany
  • 2 Nikolsky Mathematical Institute, Rudn University, Miklukho-Maklaya str.6, Moscow, 117198, Russian Federation
  • 3 Russian University of Transport, Obraztsova 15, Moscow, 127994, Russian Federation
  • 4 Moscow Center of Fundamental and Applied Mathematics, MSU, GSP-1, Leninskie Gory, Moscow, 119991, Russian Federation
Keywords
Androgen ablation; Optimal control; Prostate cancer; State constraint; Therapy strategies
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