Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley equations (original) (raw)

The Hodgkin-Huxley Nerve Axon Model

gary knott

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IJERT-The Hodgkin Huxley Model: Analysis of Dynamic Behavior of the Action Potential in the Giant Squid Axon

IJERT Journal

International Journal of Engineering Research and Technology (IJERT), 2020

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Effect of channel block on the spiking activity of excitable membranes in a stochastic Hodgkin-Huxley model

Gerhard Schmid, Igor Goychuk

Physical Biology, 2004

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Spontaneous dynamics and response properties of a Hodgkin-Huxley-type neuron model driven by harmonic synaptic noise

Alexander Neiman

The European Physical Journal Special Topics, 2010

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The stochastic, Markovian, Hodgkin-Huxley type of mathematical model of the neuron

Aleksandra Świetlicka

Neural Network World, 2015

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Whole Cell Stochastic Model Reproduces the Irregularities Found in the Membrane Potential of Bursting Neurons

Marcelo Reyes

Journal of Neurophysiology, 2005

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A simple modification of the Hodgkin and Huxley equations explains type 3 excitability in squid giant axons

David Paydarfar

Journal of The Royal Society Interface, 2008

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Stochastic Biological Model of Neuron

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International Journal of Engineering Applied Sciences and Technology, 2022

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Differences in the subthreshold dynamics of leaky integrate-and-fire and hodgkin-huxley neuron models

Thomas Trappenberg

Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005.

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Mathematical description of a bursting pacemaker neuron by a modification of the Hodgkin-Huxley equations

Richard Plant

Biophysical Journal, 1976

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Modified Hodgkin-Huxley gating kinetics of sodium activation in giant axons of squid (Doryteuthis bleekeri)

Masashi Urayama

Journal of Theoretical Biology, 1985

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Differences between Stochastic and Deterministic Modeling in Real World Systems using the Action Potential of Nerves

SANTIAGO ALVARADO SANTANA

2010

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Firing Properties of a Stochastic PDE Model of a Rat Sensory Cortex Layer 2/3 Pyramidal Cell

Nicolangelo Iannella

Mathematical biosciences, 2004

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Periodic solutions of nerve impulse equations

Gail Carpenter

Journal of Mathematical Analysis and Applications, 1977

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Two-compartment stochastic model of a neuron

Roger Rodriguez

Physica D-nonlinear Phenomena, 1999

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Optimization and improvement of hodgkin-huxley model under the influence of ion channel noise in neurons

Dr.Ahmed MK

2018

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A review on the stochastic firing behaviour of real neurons and how it can be modelled

Chris Christodoulou

Lecture Notes in Computer Science, 1995

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Effects of channel blocking on the spontaneous firing regularity of scale-free Hodgkin-Huxley neuronal network

Abdullah Ergin

2011

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Power-Law Dynamics of Membrane Conductances Increase Spiking Diversity in a Hodgkin-Huxley Model

Wondimu Teka

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Analysis of the optimal channel density of the squid giant axon using a reparameterized Hodgkin-Huxley model

Nikola Jurisic

Journal of neurophysiology, 2004

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Simulating Spiking Neurons by Hodgkin Huxley Model

Terje Kristensen

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The Hodgkin-Huxley Model

John Rinzel

The Book of GENESIS, 1995

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Potential of Bursting Neurons Whole Cell Stochastic Model Reproduces the Irregularities Found in the Membrane

Reynaldo D Pinto

2010

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Effects of maximal sodium and potassium conductance on the stability of Hodgkin-Huxley model

Kuanquan Wang, Henggui Zhang

Computational and mathematical methods in medicine, 2014

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Detailed numerical investigation of the dissipative stochastic mechanics based neuron model

Marifi Güler

Journal of Computational Neuroscience, 2008

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Evaluation of approximate stochastic Hodgkin-Huxley models

Ian Bruce

2007 3rd International IEEE/EMBS Conference on Neural Engineering, 2007

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The stochastic Fitzhugh–Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model

Jürgen Jost

Journal of Mathematical Biology, 2019

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Stochastic FitzHugh-Nagumo neuron model in excitable regime embeds a leaky integrate-and-fire model

Jürgen Jost

2018

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A Comparative Study of the Hodgkin–Huxley and Fitzhugh–Nagumo Models of Neuron Pulse Propagation

Peter Schuster

International Journal of Bifurcation and Chaos, 2005

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A new double-chamber model of ion channels. Beyond the Hodgkin and Huxley model

Krzysztof Dołowy

Cellular Molecular Biology Letters, 2003

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