A kinetic model of tumor/immune system cellular interactions.
Arlotti, Luisa, Gamba, Andrea, Lachowicz, Miroslaw (2002)
Journal of Theoretical Medicine
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Arlotti, Luisa, Gamba, Andrea, Lachowicz, Miroslaw (2002)
Journal of Theoretical Medicine
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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.
de Pillis, L.G., Mallet, D.G., Radunskaya, A.E. (2006)
Computational & Mathematical Methods in Medicine
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Ambrosi, D., Bellomo, N., Preziosi, L. (2002)
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 ...
Bellomo, Nicola, De Angelis, Elena, Preziosi, Luigi (2003)
Journal of Theoretical Medicine
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S. N. Gentry, R. Ashkenazi, T. L. Jackson (2009)
Mathematical Modelling of Natural Phenomena
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Most mammalian tissues are organized into a hierarchical structure of stem, progenitor, and differentiated cells. Tumors exhibit similar hierarchy, even if it is abnormal in comparison with healthy tissue. In particular, it is believed that a small population of cancer stem cells drives tumorigenesis in certain malignancies. These cancer stem cells are derived from transformed stem cells or mutated progenitors that have acquired stem-cell qualities, specifically the ability to self-renew....