Mathematical Biosciences and Engineering (MBE)

FitzHugh-Nagumo equations with generalized diffusive coupling
Pages: 203 - 215, Issue 2, April 2014

doi:10.3934/mbe.2014.11.203      Abstract        References        Full text (445.8K)                  Related Articles

Anna Cattani - Department of Mathematical Sciences, Corso Duca degli Abruzzi 24, 10129 Torino, Italy (email)

1 R. B. Bapat, D. Kalita and S. Pati, On weighted directed graphs, Linear Algebra Appl., 436 (2012), 99-111.       
2 N. Burić and D. Todorović, Dynamics of FitzHugh-Nagumo excitable systems with delayed coupling, Phys. Rev. E (3), 436 (2012), 99-111.       
3 A. Cattani, Generalized Diffusion to Model Biological Neural Networks, Ph.D thesis, Politecnico di Torino, ongoing.
4 R. FitzHugh, Impulses and physiological states in theoretical models of nerve membrane, Biophysical Journal, 1 (1961), 445-466.
5 A. L. Hodgkin and A. F.Huxley, A quantitative description of membrane current and its application in conduction and excitation in nerve, J. Physiol., 117 (1952), 500-544.
6 J. D. Murray, Mathematical Biology I, An Introduction third edition, Springer-Verlag, New York, 2002.       
7 Y. Oyama, T. Yanagita and T. Ichinomiya, Numerical analysis of FitzHugh-Nagumo neurons on random networks, Progress of Theoretical Physics Supplements, 161 (2006), 389-392.
8 A. C.Scott, The electrophysics of a nerve fiber, Review of Modern Physics, 47 (1975), 487-533.

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