ITM Web Conf.
Volume 34, 2020International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|Number of page(s)||15|
|Section||Differential Equations, Dynamical Systems, and Geometry|
|Published online||03 December 2020|
- L.R. Square, F.E. Bloom, N.C. Spitzer, S. Lac, A. Ghosh, and D. Berg, Fundamental of Neuroscience, Third edition (Academic Press, Elsevier, 2008) 1280 pp. [Google Scholar]
- E.M. Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (The MIT Press Cambridge, Massachusetts London, England, 2006) 464 pp. [Google Scholar]
- B.P. Bean, The action potential in mammalian central neurons., Nat. Rev. Neurosci. 8, 451465 (2007). [Google Scholar]
- J. Cronin, Mathematical Aspects of HodgkinHuxley Neural Theory (Cambridge University Press, 1987) 276 pp. [Google Scholar]
- F. Strassberg and L. J. DeFelice, Limitation of the Hodgkin-Huxley Formalism: Eﬀects of Single Channel Kinetics on Transmembrane Voltage Dynamics, Neural Computation 5, 843-855 (1993). [CrossRef] [Google Scholar]
- L.D. Harmon and E. R. Lewis, Neural Modeling, American Journal of Physiology (1966), https://Doi.Org/10.1152/Physrev.1922.214.171.1243. [Google Scholar]
- K.F. Bonhoeﬀer, Activation of passive iron as a model for excitation of nerve., J. Gen. Physiol. 32, 69-91 (1948). [CrossRef] [PubMed] [Google Scholar]
- E.M. Izhikevich, Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (The MIT Press Cambridge, Massachusetts London, England, 2007). [Google Scholar]
- M. E. Yamakou, T. D. Tran, L. H. Duc, and J. Jost, The Stochastic Fitzhugh-Nagumo Neuron Model In The Excitable Regime Embeds A Leaky Integrate-And-Fire Model, J. Math. Biol. 79(2), 509-532 (2019). [CrossRef] [Google Scholar]
- I. Tasaki, Demonstration of two stable states of the nerve membrane in potassium-rich media, J. Physiol. (London) 148, 306-331 (1959). [CrossRef] [Google Scholar]
- B. Xu, S. Binczak, S. Jacquir, O. Pont, H. Yahia, Parameters Analysis of FitzhughNagumo Model for A Reliable Simulation, 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (2014). [Google Scholar]
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