Optimal control in a mathematical model for leukemia therapy with phase constraints


DOI: 10.3103/S0278641912040024

Cite this article as:
Bratus, A.S., Goncharov, A.S. & Todorov, I.T. MoscowUniv.Comput.Math.Cybern. (2012) 36: 178. doi:10.3103/S0278641912040024


We examine the optimal control problem that arises in the mathematical modeling of leukemia therapy, to solve which the Pontryagin maximum principle and the penalty function method are employed. It is assumed that the drug is capable of killing not only diseased cells, but healthy cells as well. The character of the drug’s interaction with cells is described by appropriate therapy functions.


Cancer leukemia optimal control therapy 

Copyright information

© Allerton Press, Inc. 2012

Authors and Affiliations

  • A. S. Bratus
    • 1
  • A. S. Goncharov
    • 1
  • I. T. Todorov
    • 2
  1. 1.Faculty of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia
  2. 2.Mannheim University of Applied SciencesMannheimGermany

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