Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis.

  title={Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis.},
  author={Urszula Ledzewicz and Heinz Sch{\"a}ttler},
  journal={Journal of theoretical biology},
  volume={252 2},
Tumor anti-angiogenesis is a cancer treatment approach that aims at preventing the primary tumor from developing its own vascular network needed for further growth. In this paper the problem of how to schedule an a priori given amount of angiogenic inhibitors in order to minimize the tumor volume is considered for three related mathematical formulations of a biologically validated model developed by Hahnfeldt et al. [1999. Tumor development under angiogenic signalling: a dynamical theory of… CONTINUE READING
Highly Cited
This paper has 54 citations. REVIEW CITATIONS
31 Citations
43 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 31 extracted citations

54 Citations

Citations per Year
Semantic Scholar estimates that this publication has 54 citations based on the available data.

See our FAQ for additional information.


Publications referenced by this paper.
Showing 1-10 of 43 references

The high-order maximal principle and its application to singular controls

  • A. Krener
  • SIAM J. Control Optim
  • 1977
Highly Influential
5 Excerpts

Sufficient conditions for optimality and the

  • V. G. Boltyansky
  • 1966
Highly Influential
7 Excerpts

Optimization of angiogenic therapy as optimal control problem

  • A. Swierniak, G. Gala, A. Gandolfi, A. d’Onofrio
  • Proceedings of the 4th IASTED Conference on…
  • 2006
Highly Influential
2 Excerpts

Similar Papers

Loading similar papers…