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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Shi, Bao, Zhang, Fangwei, Xu, Shihe (2011)
Abstract and Applied Analysis
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Yang, Junyuan, Wang, Xiaoyan, Zhang, Fengqin (2008)
Discrete Dynamics in Nature and Society
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Chay, Teresa Ree, Lee, Young Seek (1998)
Discrete Dynamics in Nature and Society
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Liu, Rongsong, Wu, Jianhong, Zhu, Huaiping (2007)
Computational & Mathematical Methods in Medicine
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Meron, Ehud (1999)
Discrete Dynamics in Nature and Society
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Yang, Jun-Yuan, Wang, Xiao-Yan, Li, Xue-Zhi (2011)
Discrete Dynamics in Nature and Society
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Shu Dai, David G. Schaeffer (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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While alternans in a single cardiac cell appears through a simple period-doubling bifurcation, in extended tissue the exact nature of the bifurcation is unclear. In particular, the phase of alternans can exhibit wave-like spatial dependence, either stationary or travelling, which is known as alternans. We study these phenomena in simple cardiac models through a modulation equation proposed by Echebarria-Karma. As shown in our previous paper, the zero solution of their equation may...
Yu, Yumei, Nieto, Juan J., Torres, Angela, Wang, Kaifa (2009)
Boundary Value Problems [electronic only]
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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...
Ward, J.P., King, J.R. (1999)
Journal of Theoretical Medicine
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Panetta, John Carl (1998)
Journal of Theoretical Medicine
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