A model for gene activation.
Oppenheimer, Seth F., Fan, Ruping, Pruett, Stephan (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Oppenheimer, Seth F., Fan, Ruping, Pruett, Stephan (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Adimy, Mostafa, Pujo-Menjouet, Laurent (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ahangar, Reza, Lin, Xiao-Biao (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Garira, Winston, Musekwa, Senelani D., Shiri, Tinevimbo (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Urszula Foryś, Norbert Żołek (2000)
Applicationes Mathematicae
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Complementary analysis of a model of the human immune system after a series of vaccinations, proposed in [7] and studied in [6], is presented. It is shown that all coordinates of every solution have at most two extremal values. The theoretical results are compared with experimental data.
Byrne, H.M., Chaplain, M.A.J., Pettet, G.J., McElwain, D.L.S. (1999)
Journal of Theoretical Medicine
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Jarosław Śmieja (2010)
International Journal of Applied Mathematics and Computer Science
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The paper deals with the analysis of signaling pathways aimed at uncovering new regulatory processes regulating cell responses. First, general issues of comparing simulation and experimental data are discussed, and various aspects of data normalization are covered. Then, a model of a particular signaling pathway, induced by Interferon-β, is briefly introduced. It serves as an example illustrating how mathematical modeling can be used for inferring the structure of a regulatory system...
François Dubois, Hervé V.J. Le Meur, Claude Reiss (2010)
MathematicS In Action
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This contribution is devoted to a new model of HIV multiplication motivated by the patent of one of the authors. We take into account the antigenic diversity through what we define “antigenicity”, whether of the virus or of the adapted lymphocytes. We model the interaction of the immune system and the viral strains by two processes. On the one hand, the presence of a given viral quasi-species generates antigenically adapted lymphocytes. On the other hand, the lymphocytes kill only viruses...
Hedican, Erin B., Kemper, John T., Lanie, Nicole M. (2007)
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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