Modelling immune response and drug therapy in human malaria infection.
Chiyaka, C., Garira, W., Dube, S. (2008)
Computational & Mathematical Methods in Medicine
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Chiyaka, C., Garira, W., Dube, S. (2008)
Computational & Mathematical Methods in Medicine
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Wilson, D.P., McElwain, D.L.S. (2002)
Journal of Theoretical Medicine
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Alavez-Ramírez, J., Fuentes-Allen, J.L., López-Estrada, J. (2011)
Computational & Mathematical Methods in Medicine
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Bittner, B., Wahl, L.M. (2000)
Journal of Theoretical Medicine
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Duffin, R.Paul, Tullis, Richard H. (2002)
Journal of Theoretical Medicine
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Kramer, Ivan (2007)
Computational & Mathematical Methods in Medicine
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Hedican, Erin B., Kemper, John T., Lanie, Nicole M. (2007)
Computational & Mathematical Methods in Medicine
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Claude Basdevant, Jean Clairambault, Francis Lévi (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The chronotherapy concept takes advantage of the circadian rhythm of cells physiology in maximising a treatment efficacy on its target while minimising its toxicity on healthy organs. The object of the present paper is to investigate mathematically and numerically optimal strategies in cancer chronotherapy. To this end a mathematical model describing the time evolution of efficiency and toxicity of an oxaliplatin anti-tumour treatment has been derived. We then applied an optimal control...
Tullis, Richard H., Scamurra, David O., Ambrus, Julian L.jun. (2002)
Journal of Theoretical Medicine
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Brazzoli, I., Chauviere, A. (2006)
Computational & Mathematical Methods in Medicine
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Wodarz, Dominik, Nowak, Martin A. (2000)
Journal of Theoretical Medicine
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Kramer, Ivan (2008)
Computational & Mathematical Methods in Medicine
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I. Barradas (1997)
Applicationes Mathematicae
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A nonlinear mathematical model with distributed delay is proposed to describe the reaction of a human organism to a pathogen agent. The stability of the disease free state is analyzed, showing that there exists a large set of initial conditions in the attraction basin of the disease-free state whose border is defined as the immunological barrier.