Impact of chloride channel on firing patterns of the fractional-order Morris-Lecar model

DOI10.1016/J.RINAM.2022.100312zbMath1498.92041OpenAlexW4287576525MaRDI QIDQ2674607

Tahmineh Azizi

Publication date: 14 September 2022

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2022.100312

zbMATH Keywords

Hopf bifurcationfractional calculushomoclinic bifurcationNSFD methodchloride channelGrünwald-Letinkov method

Mathematics Subject Classification ID

Neural biology (92C20) Fractional ordinary differential equations (34A08)

Related Items (1)

Existence theory and numerical simulations of variable order model of infectious disease

Cites Work

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• The fractional-order modeling and synchronization of electrically coupled neuron systems
• Recent history of fractional calculus
• Fractional-order delayed predator-prey systems with Holling type-II functional response
• FPGA realization of fractional order neuron
• On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
• Mathematical foundations of neuroscience
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractals and fractional calculus in continuum mechanics
• A nonstandard finite difference scheme for a Fisher PDE having nonlinear diffusion.
• On fractional SIRC model with \textit{Salmonella} bacterial infection
• Abundant bursting patterns of a fractional-order Morris-Lecar neuron model
• Approximation of Fractional--Order Chemostat Model with Nonstandard Finite Difference Scheme
• Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Single Neuron Model with Time Delay
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Application of fixed point theorem for stability analysis of a nonlinear Schrodinger with Caputo-Liouville derivative
• A Lemma in the Theory of Structural Stability of Differential Equations
• NEURAL EXCITABILITY, SPIKING AND BURSTING

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