Bifurcating solutions to the monodomain model equipped with FitzHugh-Nagumo kinetics.
Artebrant, Robert (2009)
Journal of Applied Mathematics
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Artebrant, Robert (2009)
Journal of Applied Mathematics
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Ward, J.P., King, J.R. (1999)
Journal of Theoretical Medicine
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Holden, Arun V. (1997)
Journal of Theoretical Medicine
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Olsen, Luke, Maini, Philip K., Sherratt, Jonathan A., Marchant, Ben (1998)
Journal of Theoretical Medicine
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A. Ducrot, V. Volpert (2010)
Mathematical Modelling of Natural Phenomena
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In this paper we propose a mathematical model to describe the evolution of leukemia in the bone marrow. The model is based on a reaction-diffusion system of equations in a porous medium. We show the existence of two stationary solutions, one of them corresponds to the normal case and another one to the pathological case. The leukemic state appears as a result of a bifurcation when the normal state loses its stability. The critical conditions of leukemia development are determined by...
Krömker, S. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Müller, Johannes, Tjardes, Thorsten (2003)
Journal of Theoretical Medicine
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Bandyopadhyay, Malay, Bhattacharya, Rakhi, Chakrabarti, C.G. (2003)
International Journal of Mathematics and Mathematical Sciences
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N. Bessonov, F. Crauste, V. Volpert (2011)
Mathematical Modelling of Natural Phenomena
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Plant growth occurs due to cell proliferation in the meristem. We model the case of apical meristem specific for branch growth and the case of basal meristem specific for bulbous plants and grass. In the case of apical growth, our model allows us to describe the variety of plant forms and lifetimes, endogenous rhythms and apical domination. In the case of basal growth, the spatial structure, which corresponds to the appearance of leaves,...
Gilmore, Stephen, Landman, Kerry A. (2005)
Journal of Theoretical Medicine
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