Filippov FitzHugh-Nagumo Neuron Model with Membrane Potential Threshold Control Policy

2021 ◽  
Author(s):  
Tao Dong ◽  
Huiyun Zhu
Keyword(s):  
Membrane Potential ◽  
Neuron Model ◽  
Control Policy ◽  
Threshold Control ◽  
Potential Threshold

scholarly journals Modulation of Astrocytes on Mode Selection of Neuron Firing Driven by Electromagnetic Induction

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Zhongquan Gao ◽  
Zhixuan Yuan ◽  
Zuo Wang ◽  
Peihua Feng
Keyword(s):  
Membrane Potential ◽  
Resting State ◽  
Electromagnetic Induction ◽  
Neuron Model ◽  
Mode Selection ◽  
Neuron Firing ◽  
Two Factors ◽  
Selection Of ◽  
Strong Ability

Both of astrocytes and electromagnetic induction are magnificent to modulate neuron firing by introducing feedback currents to membrane potential. An improved astro-neuron model considering both of the two factors is employed to investigate their different roles in modulation. The mixing mode, defined by combination of period bursting and depolarization blockage, characterizes the effect of astrocytes. Mixing mode and period bursting alternatively appear in parameter space with respect to the amplitude of feedback current on neuron from astrocyte modulation. However, magnetic flux obviously plays a role of neuron firing inhibition. It not only repels the mixing mode but also suppresses period bursting. The mixing mode becomes period bursting mode and even resting state when astrocytes are hyperexcitable. Abnormal activities of astrocytes are capable to induce depolarization blockage to compose the mixing mode together with bursting mode. But electromagnetic induction shows its strong ability of inhibition of neuron firing, which is also illustrated in the bifurcation diagram. Indeed, the combination of the two factors and appropriate choice of parameters show the great potential to control disorder of neuron firing like epilepsy.

Bipolar Pulse-Induced Coexisting Firing Patterns in Two-Dimensional Hindmarsh–Rose Neuron Model

2019 ◽  
Vol 29 (01) ◽  
pp. 1950006 ◽  
Author(s):  
Han Bao ◽  
Aihuang Hu ◽  
Wenbo Liu
Keyword(s):  
Membrane Potential ◽  
Neuron Model ◽  
Periodic Variation ◽  
Constant Current ◽  
Two Dimensional ◽  
Bipolar Pulse ◽  
Firing Patterns ◽  
Current Stimulus ◽  
Unstable Node ◽  
Stimulus Effect

In this paper, a bipolar pulse (BP) current is taken to mimic a periodic stimulus effect on the membrane potential in the axon of a neuron. By introducing the BP current to substitute the externally applied constant current, a BP-forced two-dimensional Hindmarsh–Rose (HR) neuron model is proposed. Based on the proposed neuron model, the BP-switched equilibrium point and its stability evolution with the periodic variation in time are explored. Furthermore, coexisting asymmetric attractors (or coexisting firing patterns) with bistability are revealed by phase plane orbits, time sequences, and attraction basins, as well as the BP-induced coexisting asymmetric attractors’ behaviors are then elaborated through bifurcation analysis. The research results exhibit that, with the increase of the time, the stabilities of the neuron model are continually switched between an unstable node-focus and a stable point, resulting in the coexisting behaviors of numerous asymmetric attractors under the specified initials. Consequently, the newly introduced BP current stimulus, instead of the original constant current stimulus, allows the two-dimensional HR neuron model to possess complex dynamical behaviors for the membrane potential. Additionally, a hardware breadboard is fabricated and circuit experiments are carried out to validate the numerical simulations.

Temperature-sensitive properties of rat suprachiasmatic nucleus neurons

2001 ◽  
Vol 281 (3) ◽  
pp. R706-R715 ◽  
Author(s):  
Penny W. Burgoon ◽  
Jack A. Boulant
Keyword(s):  
Membrane Potential ◽  
Firing Rate ◽  
Suprachiasmatic Nucleus ◽  
Interspike Interval ◽  
Slow Component ◽  
Resting Membrane Potential ◽  
Temperature Sensitive ◽  
Tissue Slices ◽  
Hypothalamic Tissue ◽  
Potential Threshold

The hypothalamic suprachiasmatic nucleus (SCN) contains a heterogeneous population of neurons, some of which are temperature sensitive in their firing rate activity. Neuronal thermosensitivity may provide cues that synchronize the circadian clock. In addition, through synaptic inhibition on nearby cells, thermosensitive neurons may provide temperature compensation to other SCN neurons, enabling postsynaptic neurons to maintain a constant firing rate despite changes in temperature. To identify mechanisms of neuronal thermosensitivity, whole cell patch recordings monitored resting and transient potentials of SCN neurons in rat hypothalamic tissue slices during changes in temperature. Firing rate temperature sensitivity is not due to thermally dependent changes in the resting membrane potential, action potential threshold, or amplitude of the fast afterhyperpolarizing potential (AHP). The primary mechanism of neuronal thermosensitivity resides in the depolarizing prepotential, which is the slow depolarization that occurs prior to the membrane potential reaching threshold. In thermosensitive neurons, warming increases the prepotential's rate of depolarization, such that threshold is reached sooner. This shortens the interspike interval and increases the firing rate. In some SCN neurons, the slow component of the AHP provides an additional mechanism for thermosensitivity. In these neurons, warming causes the slow AHP to begin at a more depolarized level, and this, in turn, shortens the interspike interval to increase firing rate.

A membrane potential threshold for phage T4 DNA injection

1980 ◽  
Vol 93 (2) ◽  
pp. 625-630 ◽  
Author(s):  
B. Labedan ◽  
K.B. Heller ◽  
A.A. Jasaitis ◽  
T.H. Wilson ◽  
E.B. Goldberg
Keyword(s):  
Membrane Potential ◽  
Dna Injection ◽  
Phage T4 ◽  
Potential Threshold

LIF Neuron with Hypo-exponential Distributed Delay: Emergence of Unimodal, Bimodal, Multimodal ISI Distribution with Long Tail

2020 ◽  
Vol 14 (2) ◽  
pp. 148-160
Author(s):  
Saket K. Choudhary ◽  
Vijender K. Solanki
Keyword(s):  
Membrane Potential ◽  
Neuron Model ◽  
Distributed Delay ◽  
Kernel Functions ◽  
Long Tail ◽  
Simulation Based ◽  
Mean And Variance ◽  
Almost All ◽  
Lif Neuron ◽  
Delay Factor

Background: Distributed Delay Framework (DDF) has suggested a mechanism to incorporate the delay factor in the evolution of the membrane potential of a neuron model in terms of distributed delay kernel functions. Incorporation of delay in neural networks provide comparatively more efficient output. Depending on the parameter of investigation, there exist a number of choices of delay kernel function for a neuron model. Objective: We investigate the Leaky integrate-and-fire (LIF) neuron model in DDF with hypoexponential delay kernel. LIF neuron with hypo-exponential distributed delay (LIFH) model is capable to regenerate almost all possible empirically observed spiking patterns. Methods: In this article, we perform the detailed analytical and simulation based study of the LIFH model. We compute the explicit expressions for the membrane potential and its first two moment viz. mean and variance, in analytical study. Temporal information processing functionality of the LIFH model is investigated during simulation based study. Results: We find that the LIFH model is capable to reproduce unimodal, bimodal and multimodal inter-spike- interval distributions which are qualitatively similar with the experimentally observed ISI distributions. Conclusion: We also notice the neurotransmitter imbalance situation, where a noisy neuron exhibits long tail behavior in aforementioned ISI distributions which can be characterized by power law behavior.

Variable-rate colour image quantization based on quadtree segmentation

2011 ◽  
Vol 19 (3) ◽  
Author(s):  
Y. Hu ◽  
C. Li ◽  
J. Chuang ◽  
C. Lo
Keyword(s):  
Image Quality ◽  
Great Influence ◽  
Control Policy ◽  
Variable Rate ◽  
Threshold Control ◽  
Storage Cost ◽  
Colour Image ◽  
Image Quantization ◽  
Colour Palette

AbstractA novel variable-sized block encoding with threshold control for colour image quantization (CIQ) is presented in this paper. In CIQ, the colour palette used has a great influence on the reconstructed image quality. Typically, a higher image quality and a larger storage cost are obtained when a larger-sized palette is used in CIQ. To cut down the storage cost while preserving quality of the reconstructed images, the threshold control policy for quadtree segmentation is used in this paper. Experimental results show that the proposed method adaptively provides desired bit rates while having better image qualities comparing to CIQ with the usage of multiple palettes of different sizes.

Sign in / Sign up

Export Citation Format

Share Document