Bang-bang and singular controls in a mathematical model for combined anti-angiogenic and chemotherapy treatments

@article{Ledzewicz2009BangbangAS,
  title={Bang-bang and singular controls in a mathematical model for combined anti-angiogenic and chemotherapy treatments},
  author={Urszula Ledzewicz and Helmut Maurer and Heinz Sch{\"a}ttler},
  journal={Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference},
  year={2009},
  pages={2280-2285}
}
A mathematical model for the scheduling of a combination of anti-angiogenic and chemotherapeutic agents is considered as a multi-input optimal control problem. Numerical results that are based on an explicit equation for a singular control confirm as optimal a structure of protocols that administer the anti-angiogenic agent according to the optimal monotherapy control and the cytotoxic agent at maximum dose at the end of therapy. 

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 25 references

Direct and indirect control of cancer populations

A. Swierniak
Bull. Polish Acad. of Scie., Tech. Sci., 56 no. 4, • 2008
View 1 Excerpt

H

U. Ledzewicz
Schättler and A. d’Onofrio, Optimal control for combination therapy in cancer, Proc. 47th IEEE Conf. on Dec. and Contr., Cancun, Mexico, • 2008
View 1 Excerpt

Modelling combined angiogenic and chemo-therapy

A. Swierniak
Proc. of the Fourteenth National Conference on Appl. of Math. in Biology and Medicine, Leszno, Poland, • 2008
View 1 Excerpt

Optimal control for combination therapy in cancer

C. Büskens, J.-H. Kim, Y. Kaja
2008

Optimizaton techniques for the verification of second - order sufficient conditions for bang - bang controls ,

C. Büskens H. Maurer, J.-H. Kim
Optimal Control , Applications and Methods • 2008

Introduction to the Mathematical Theory of Control

A. Bressan, B. Piccoli
American Institute of Mathematical Sciences, • 2007
View 2 Excerpts

Similar Papers

Loading similar papers…