Gradient method for finding optimal scheduling in infinite dimensional models of chemotherapy.
Smieja, Jaroslaw, Swierniak, Andrzej, Duda, Zdzislaw (2000)
Journal of Theoretical Medicine
Similarity:
Displaying similar documents to “Optimal control of combined therapy in a single strain HIV-1 model.”
Gradient method for finding optimal scheduling in infinite dimensional models of chemotherapy.
A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells.
Adimy, Mostafa, Pujo-Menjouet, Laurent (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
Seeking bang-bang solutions of mixed immuno-chemotherapy of tumors.
Pillis, Lisette G.de, Fister, K.Renee, Gu, Weiqing, Collins, Craig, Daub, Michael, Gross, David, Moore, James, Preskill, Ben (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Similarity:
A mathematical tumor model with immune resistance and drug therapy: An optimal control approach.
de Pillis, L.G., Radunskaya, A. (2001)
Journal of Theoretical Medicine
Similarity:
Delay Dynamics of Cancer and Immune Cell Model
D. Adongo, K.R. Fister (2012)
Mathematical Modelling of Natural Phenomena
Similarity:
We investigate optimal control of a cancer-immune cell interactive model with delay in the interphase compartment. By applying the optimal control theory, we seek to minimize the cost associated with the chemotherapy drug, minimize the accumulation of cancer cells, and increase the immune cell presence. Optimality conditions and characterization of the control are provided. Numerical analyses are given to enhance the understanding of the ...
Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments
J. Clairambault (2009)
Mathematical Modelling of Natural Phenomena
Similarity:
This review aims at presenting a synoptic, if not exhaustive, point of view on some of the problems encountered by biologists and physicians who deal with natural cell proliferation and disruptions of its physiological control in cancer disease. It also aims at suggesting how mathematicians are naturally challenged by these questions and how they might help, not only biologists to deal theoretically with biological complexity, but also physicians to optimise therapeutics, on which last...