Scheduling chemotherapy: Catch 22 between cell kill and resistance evolution.
Gardner, Shea N. (2000)
Journal of Theoretical Medicine
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Gardner, Shea N. (2000)
Journal of Theoretical Medicine
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Gevertz, Jana L. (2011)
Computational & Mathematical Methods in Medicine
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Panetta, John Carl, Chaplain, Mark A.J., Cameron, David (2000)
Journal of Theoretical Medicine
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Schmitz, Jonathan E., Kansal, Anuraag R., Torquato, Salvatore (2002)
Journal of Theoretical Medicine
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Kohandel, M., Haselwandter, C.A., Kardar, M., Sengupta, S., Sivaloganathan, S. (2011)
Computational & Mathematical Methods in Medicine
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Alarcón, Tomás, Owen, Markus R., Byrne, Helen M., Maini, Philip K. (2006)
Computational & Mathematical Methods in Medicine
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Honstvet, Christopher.A., Jones, Pamela F. (2007)
Computational & Mathematical Methods in Medicine
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Zuzanna Szymańska (2003)
International Journal of Applied Mathematics and Computer Science
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A basic mathematical model of the immune response when cancer cells are recognized is proposed. The model consists of six ordinary differential equations. It is extended by taking into account two types of immunotherapy: active immunotherapy and adoptive immunotherapy. An analysis of the corresponding models is made to answer the question which of the presented methods of immunotherapy is better. The analysis is completed by numerical simulations which show that the method of adoptive...
Krzysztof Puszyński, Roman Jaksik, Andrzej Świerniak (2012)
International Journal of Applied Mathematics and Computer Science
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Ionizing radiation activates a large variety of intracellular mechanisms responsible for maintaining appropriate cell functionality or activation of apoptosis which eliminates damaged cells from the population. The mechanism of such induced cellular death is widely used in radiotherapy in order to eliminate cancer cells, although in some cases it is highly limited by increased cellular radio-resistance due to aberrations in molecular regulation mechanisms of malignant cells. Despite...
Baker, C.T.H., Bocharov, G.A., Paul, C.A.H. (1997)
Journal of Theoretical Medicine
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Anderson, A.R.A., Chaplain, M.A.J., Newman, E.L., Steele, R.J.C., Thompson, A.M. (2000)
Journal of Theoretical Medicine
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Byrne, H.M., Chaplain, M.A.J. (1998)
Journal of Theoretical Medicine
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