Antiangiogenic therapy of experimental cancer does not induce acquired drug resistance, Nature, pp.390-404, 1997. ,
Singular Trajectories and their Role in Control Theory, 2003. ,
Introduction to the Mathematical Theory of Control, 2007. ,
Optimierungsmethoden und Sensitivitätsanalyse für optimale Steuerprozesse mit Steuer-und Zustands-Beschränkungen, 1998. ,
Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by, Mathematical Biosciences, pp.159-184, 1999. ,
A family of models of angiogenesis and anti-angiogenesis anti-cancer therapy, Mathematical Medicine and Biology, vol.26, issue.1, pp.63-95, 2009. ,
DOI : 10.1093/imammb/dqn024
On optimal delivery of combination therapy for tumors, Mathematical Biosciences, vol.222, issue.1, pp.13-26, 2009. ,
DOI : 10.1016/j.mbs.2009.08.004
Optimal Scheduling of Radiotherapy and Angiogenic Inhibitors, Bulletin of Mathematical Biology, vol.65, issue.3, pp.407-424, 2003. ,
DOI : 10.1016/S0092-8240(03)00006-5
Anti-Angiogenesis, Annals of Surgery, vol.175, issue.3, pp.409-416, 1972. ,
DOI : 10.1097/00000658-197203000-00014
Angiogenesis inhibitors generated by tumors, Molecular Medicine, vol.1, pp.120-122, 1995. ,
Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy, Cancer Research, vol.59, pp.4770-4775, 1999. ,
Normalizing tumor vasculature with anti-angiogenic therapy: a new paradigm for combination therapy, Nature Medicine, vol.7, issue.9, pp.987-989, 2001. ,
DOI : 10.1038/nm0901-987
Vascular normalization as a rationale for combining chemotherapy with antiangiogenic agents, Principles of Practical Oncology, pp.1-7, 2007. ,
VEGF/VPF: The angiogenesis factor found?, Current Biology, vol.3, issue.10, pp.699-702, 1993. ,
DOI : 10.1016/0960-9822(93)90073-W
The ubiquity of Fuller's phenomenon, pp.313-350, 1990. ,
Bang-bang and singular controls in a mathematical model for combined anti-angiogenic and chemotherapy treatments, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, pp.2280-2285, 2009. ,
DOI : 10.1109/CDC.2009.5400735
Scheduling of angiogenic inhibitors for Gompertzian and logistic tumor growth models, Discrete and Continuous Dynamical Systems, Series B, vol.12, pp.415-438, 2009. ,
Optimal Bang-Bang Controls for a Two-Compartment Model in Cancer Chemotherapy, Journal of Optimization Theory and Applications, vol.37, issue.3, pp.609-637, 2002. ,
DOI : 10.1023/A:1016027113579
ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY, Journal of Biological Systems, vol.10, issue.03, pp.183-206, 2002. ,
DOI : 10.1142/S0218339002000597
The influence of PK/PD on the structure of optimal control in cancer chemotherapy models, Mathematical Biosciences and Engineering, issue.2, pp.561-578, 2005. ,
A Synthesis of Optimal Controls for a Model of Tumor Growth under Angiogenic Inhibitors, Proceedings of the 44th IEEE Conference on Decision and Control, pp.945-950, 2005. ,
DOI : 10.1109/CDC.2005.1582277
AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem, SIAM Journal on Control and Optimization, vol.46, issue.3, pp.1052-1079, 2007. ,
DOI : 10.1137/060665294
Optimal controls for a model with pharmacokinetics maximizing bone marrow in cancer chemotherapy, Mathematical Biosciences, vol.206, issue.2, pp.320-342, 2007. ,
DOI : 10.1016/j.mbs.2005.03.013
Optimal and suboptimal protocols for a class of mathematical models of tumor anti-angiogenesis, Journal of Theoretical Biology, vol.252, issue.2, pp.295-312, 2008. ,
DOI : 10.1016/j.jtbi.2008.02.014
Singular controls and chattering arcs in optimal control problems arising in biomedicine, Control and Cybernetics, vol.38, pp.1501-1523, 2009. ,
Optimization methods for the verification of second order sufficient conditions for bang-bang controls, Optimal Control Applications and Methods, vol.191, issue.3, pp.26-129, 2005. ,
DOI : 10.1002/oca.756
Ledzewicz and B. Cardwell Robustness of optimal controls for a class of mathematical models for tumor anti-angiogenesis, Mathematical Biosciences and Engineering ,
Modelling combined angiogenic and chemo-therapy, Proc. of the Fourteenth National Conference on Applications of Mathematics in Biology and Medicine, pp.127-133, 2008. ,
Direct and indirect control of cancer populations, Bulletin of the Polish Academy of Sciences, pp.367-378, 2008. ,
Optimal control for a class of compartmental models in cancer chemotherapy, Int. J. of Applied Mathematics and Computer Science, vol.13, pp.357-368, 2003. ,
Theory of Chattering Control with Applications to Astronautics , Robotics, Economics and Engineering, 1994. ,