A review for dynamics in neuron and neuronal network

J Ma, J Tang - Nonlinear Dynamics, 2017 - Springer
Abstract The biological Hodgkin–Huxley model and its simplified versions have confirmed its
effectiveness for recognizing and understanding the electrical activities in neurons, and …

A review and guidance for pattern selection in spatiotemporal system

C Wang, J Ma - International Journal of Modern Physics B, 2018 - World Scientific
Pattern estimation and selection in media can give important clues to understand the
collective response to external stimulus by detecting the observable variables. Both reaction …

Multiple modes of electrical activities in a new neuron model under electromagnetic radiation

M Lv, J Ma - Neurocomputing, 2016 - Elsevier
Abstract The three-variable Hindmarsh–Rose model is improved to describe the dynamical
behaviors of neuronal activities with electromagnetic induction being considered, and the …

Dynamics and stochastic resonance in a thermosensitive neuron

Y Xu, Y Guo, G Ren, J Ma - Applied Mathematics and Computation, 2020 - Elsevier
Temperature has distinct impact on the activation of neural activities by adjusting the
excitability and channel conductance. Some biological neurons can percept slight changes …

Model electrical activity of neuron under electric field

J Ma, G Zhang, T Hayat, G Ren - Nonlinear dynamics, 2019 - Springer
Continuous pump and transmission of charges such as calcium, potassium, sodium in the
cell can induce time-varying electromagnetic field, and the induced electric field can further …

Effects of ion channel blocks on electrical activity of stochastic Hodgkin–Huxley neural network under electromagnetic induction

Y Xu, Y Jia, M Ge, L Lu, L Yang, X Zhan - Neurocomputing, 2018 - Elsevier
The effects of channel blocks on the spontaneous spiking activity and neuron networks
pattern selection are investigated by using an improved Hodgkin–Huxley (HH) model in …

Spiking activities in chain neural network driven by channel noise with field coupling

Y Xu, Y Jia, H Wang, Y Liu, P Wang, Y Zhao - Nonlinear Dynamics, 2019 - Springer
The distribution of electromagnetic field in both intracellular and extracellular environments
can be changed by fluctuations in the membrane potential, and the effects of …

Effects of temperature and ion channel blocks on propagation of action potential in myelinated axons

Q Ding, Y Jia - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
Potassium ion and sodium ion channels play important roles in the propagation of action
potentials along a myelinated axon. The random opening and closing of ion channels can …

Stochastic resonance on Newman–Watts networks of Hodgkin–Huxley neurons with local periodic driving

M Ozer, M Perc, M Uzuntarla - Physics Letters A, 2009 - Elsevier
We study the phenomenon of stochastic resonance on Newman–Watts small-world
networks consisting of biophysically realistic Hodgkin–Huxley neurons with a tunable …

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 …