A survey of cell population dynamics.
Arino, O., Sánchez, E. (1997)
Journal of Theoretical Medicine
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Arino, O., Sánchez, E. (1997)
Journal of Theoretical Medicine
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Solyanik, Galina I., Serikov, Alexander A. (2000)
Journal of Theoretical Medicine
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Gardner, Shea N. (2000)
Journal of Theoretical Medicine
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G. Kapitanov (2012)
Mathematical Modelling of Natural Phenomena
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There is evidence that cancer develops when cells acquire a sequence of mutations that alter normal cell characteristics. This sequence determines a hierarchy among the cells, based on how many more mutations they need to accumulate in order to become cancerous. When cells divide, they exhibit telomere loss and differentiate, which defines another cell hierarchy, on top of which is the stem cell. We propose a mutation-generation model, ...
Mallucci, Livio, Wells, Valerie (1998)
Journal of Theoretical Medicine
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C. Calmelet, A. Prokop, J. Mensah, L. J. McCawley, P. S. Crooke (2010)
Mathematical Modelling of Natural Phenomena
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Solid tumors and hematological cancers contain small population of tumor cells that are believed to play a critical role in the development and progression of the disease. These cells, named Cancer Stem Cells (CSCs), have been found in leukemia, myeloma, breast, prostate, pancreas, colon, brain and lung cancers. It is also thought that CSCs drive the metastatic spread of cancer. The CSC compartment features a specific and phenotypically ...
Mikhail Kolev (2003)
International Journal of Applied Mathematics and Computer Science
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In this paper we propose and analyse a model of the competition between cancer and the acquired immune system. The model is a system of integro-differential bilinear equations. The role of the humoral response is analyzed. The simulations are related to the immunotherapy of tumors with antibodies.