Immune responses and viral phenotype: Do replication rate and cytopathogenicity influence virus load?
Wodarz, Dominik, Nowak, Martin A. (2000)
Journal of Theoretical Medicine
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Wodarz, Dominik, Nowak, Martin A. (2000)
Journal of Theoretical Medicine
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Duffin, R.Paul, Tullis, Richard H. (2002)
Journal of Theoretical Medicine
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Wilson, D.P., McElwain, D.L.S. (2002)
Journal of Theoretical Medicine
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Gumel, A.B., Zhang, Xuewu, Shivakumar, P.N., Garba, M.L., Sahai, B.M. (2002)
Journal of Theoretical Medicine
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Bittner, B., Wahl, L.M. (2000)
Journal of Theoretical Medicine
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Mahiéddine Kouche, Bedr'eddine Ainseba (2010)
International Journal of Applied Mathematics and Computer Science
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In this paper we derive a model describing the dynamics of HIV-1 infection in tissue culture where the infection spreads directly from infected cells to healthy cells trough cell-to-cell contact. We assume that the infection rate between healthy and infected cells is a saturating function of cell concentration. Our analysis shows that if the basic reproduction number does not exceed unity then infected cells are cleared and the disease dies out. Otherwise, the infection is persistent...
Tullis, Richard H., Scamurra, David O., Ambrus, Julian L.jun. (2002)
Journal of Theoretical Medicine
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Chiyaka, C., Garira, W., Dube, S. (2008)
Computational & Mathematical Methods in Medicine
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Brazzoli, I., Chauviere, A. (2006)
Computational & Mathematical Methods in Medicine
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Kirschner, Denise E., Webb, G.F. (1997)
Journal of Theoretical Medicine
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Tan, Wai-Yuan, Ye, Zhengzheng (2000)
Journal of Theoretical Medicine
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Ibragimov, A.I., McNeal, C.J., Ritter, L.R., Walton, J.R. (2008)
Computational & Mathematical Methods in 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.