Firing patterns of the modified Hodgkin-Huxley models subject to Taylor's formula

DOI10.1016/j.physa.2020.124405OpenAlexW3007664895MaRDI QIDQ2140431

Yaru Liu, Xiaohan Zhang, Feibiao Zhan, Shen-Quan Liu

Publication date: 20 May 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2020.124405

zbMATH Keywords

Taylor's formulafiring patternsmixed-mode oscillationion conductancemodified Hodgkin-Huxley models

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Partition of the Hodgkin-Huxley type model parameter space into the regions of qualitatively different solutions
• Derivation of an improved Hodgkin-Huxley model for potassium channel by means of the Fokker-Planck equation
• Intermittency in the Hodgkin-Huxley model
• Complex nonlinear dynamics of the Hodgkin - Huxley equations induced by time scale changes
• Dynamics of a modified Hindmarsh-Rose neural model with random perturbations: moment analysis and firing activities
• A path integral approach to the Hodgkin-Huxley model
• Effects of maximal sodium and potassium conductance on the stability of Hodgkin-Huxley model
• Alternative models to Hodgkin-Huxley equations
• Spike propagation in dendrites with stochastic ion channels
• Mixed-Mode Oscillations with Multiple Time Scales
• On exact forms of Taylor's theorem for vector-valued functions
• Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model

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