Modeling and simulation of ion channels

C Maffeo, S Bhattacharya, J Yoo, D Wells… - Chemical …, 2012 - ACS Publications
Transport of ions through pores in membranes is a process of fundamental importance to
cell biology. In living organisms, such transport is facilitated by ion channels that utilize the …

The what and where of adding channel noise to the Hodgkin-Huxley equations

JH Goldwyn, E Shea-Brown - PLoS computational biology, 2011 - journals.plos.org
Conductance-based equations for electrically active cells form one of the most widely
studied mathematical frameworks in computational biology. This framework, as expressed …

Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons

JH Goldwyn, NS Imennov, M Famulare… - Physical Review E …, 2011 - APS
The random transitions of ion channels between conducting and nonconducting states
generate a source of internal fluctuations in a neuron, known as channel noise. The …

Functional importance of noise in neuronal information processing

D Guo, M Perc, T Liu, D Yao - Europhysics Letters, 2018 - iopscience.iop.org
Noise is an inherent part of neuronal dynamics, and thus of the brain. It can be observed in
neuronal activity at different spatiotemporal scales, including in neuronal membrane …

A Mathematical Model of Spontaneous Action Potential Based on Stochastics Synaptic Noise Dynamics in Non-Neural Cells

C Mahapatra, I Samuilik - Mathematics, 2024 - mdpi.com
We developed a mathematical model to simulate the dynamics of background synaptic
noise in non-neuronal cells. By employing the stochastic Ornstein–Uhlenbeck process, we …

Dynamic behavior of artificial Hodgkin–Huxley neuron model subject to additive noise

Q Kang, BY Huang, MC Zhou - IEEE transactions on …, 2015 - ieeexplore.ieee.org
Motivated by neuroscience discoveries during the last few years, many studies consider
pulse-coupled neural networks with spike-timing as an essential component in information …

Dynamical structure underlying inverse stochastic resonance and its implications

M Uzuntarla, JR Cressman, M Ozer, E Barreto - Physical Review E—Statistical …, 2013 - APS
We investigate inverse stochastic resonance (ISR), a recently reported phenomenon in
which the spiking activity of a Hodgkin-Huxley model neuron subject to external noise …

Systematic analysis of the contributions of stochastic voltage gated channels to neuronal noise

C O'Donnell, MCW van Rossum - Frontiers in computational …, 2014 - frontiersin.org
Electrical signaling in neurons is mediated by the opening and closing of large numbers of
individual ion channels. The ion channels' state transitions are stochastic and introduce …

Retinal circuitry balances contrast tuning of excitation and inhibition to enable reliable computation of direction selectivity

A Poleg-Polsky, JS Diamond - Journal of Neuroscience, 2016 - Soc Neuroscience
Feedforward (FF) inhibition is a common motif in many neural networks. Typically, excitatory
inputs drive both principal neurons and interneurons; the interneurons then inhibit the …

Stochastic resonance: The response to envelope modulation signal for neural networks with different topologies

H Liu, L Lu, Y Zhu, Z Wei, M Yi - Physica A: Statistical Mechanics and its …, 2022 - Elsevier
Neurons receive complex multiple signals from different regions in the biology system, and
the neuron information carried by the multi-frequency signals can be detected by the neural …