Collision patterns on mollusc shells.
Plath, P.J., Plath, J.K., Schwietering, J. (1997)
Discrete Dynamics in Nature and Society
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Plath, P.J., Plath, J.K., Schwietering, J. (1997)
Discrete Dynamics in Nature and Society
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Z. A. Wang (2010)
Mathematical Modelling of Natural Phenomena
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This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell population interactions. The extended chemotaxis models have nonlinear diffusion and chemotactic sensitivity depending on cell population density, which is a modification of the classical Keller-Segel model in which the diffusion and chemotactic sensitivity are constants (linear). The existence and boundedness of global solutions of these models are...
Marciniak-Czochra, Anna, Kimmel, Marek (2006)
Computational & Mathematical Methods in Medicine
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N. Bessonov, F. Crauste, I. Demin, V. Volpert (2009)
Mathematical Modelling of Natural Phenomena
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The paper is devoted to mathematical modelling of erythropoiesis, production of red blood cells in the bone marrow. We discuss intra-cellular regulatory networks which determine self-renewal and differentiation of erythroid progenitors. In the case of excessive self-renewal, immature cells can fill the bone marrow resulting in the development of leukemia. We introduce a parameter characterizing the strength of mutation. Depending on its value, leukemia will or will not develop. ...