Noise-assisted spike propagation in myelinated neurons

Ochab-Marcinek, Anna; Schmid, Gerhard; Goychuk, Igor; Hänggi, Peter

doi:10.1103/physreve.79.011904

Cited by 43 publications

(69 citation statements)

References 31 publications

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“…the so-called channel noise which is inherently coupled to the electrical properties of the axonal cell membrane [19][20][21]. Interestingly, it has been shown that intrinsic channel noise does not only lead to the generation of spontaneous action potentials [22], but as well affects the neuronal dynamics at different levels, namely: (i) it can boost the signal quality [14,15], (ii) enhance the signal transmission reliability [23], (iii) cause frequency-and phase-synchronization features [24][25][26][27][28] and (iv) may result in a frequency stabilization [29], to name but a few.…”

Section: Introductionmentioning

confidence: 99%

In-phase and anti-phase synchronization in noisy Hodgkin–Huxley neurons

Hänggi

Schmid

2013

Mathematical Biosciences

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a b s t r a c tWe numerically investigate the influence of intrinsic channel noise on the dynamical response of delaycoupling in neuronal systems. The stochastic dynamics of the spiking is modeled within a stochastic modification of the standard Hodgkin-Huxley model wherein the delay-coupling accounts for the finite propagation time of an action potential along the neuronal axon. We quantify this delay-coupling of the Pyragas-type in terms of the difference between corresponding presynaptic and postsynaptic membrane potentials. For an elementary neuronal network consisting of two coupled neurons we detect characteristic stochastic synchronization patterns which exhibit multiple phase-flip bifurcations: The phase-flip bifurcations occur in form of alternate transitions from an in-phase spiking activity towards an antiphase spiking activity. Interestingly, these phase-flips remain robust for strong channel noise and in turn cause a striking stabilization of the spiking frequency.

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Section: Introductionmentioning

confidence: 99%

In-phase and anti-phase synchronization in noisy Hodgkin–Huxley neurons

Hänggi

Schmid

2013

Mathematical Biosciences

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“…With this work, we extend our prior study [15] on the effect of channel noise on the propagation of action potentials along myelinated axons. In terms of transmission reliability we are discussing the influence of the coupling strength between neighboring nodes of Ranvier and that of strong intrinsic noise.…”

Section: Introductionmentioning

confidence: 74%

“…In order to model the signal transmission along myelinated axons, we consider a compartmental stochastic HodgkinHuxley model [15]. Accordingly, each node of Ranvier is modeled by a stochastic generalization of the Hodgkin-Huxley model, which extends the applicability of the original Hodgkin-Huxley model [2] towards stochastic dynamics of the membrane potential of finite-size ion channel clusters [3,18].…”

Section: Modelmentioning

confidence: 99%

“…[15]). The spike occurrences t j i with j = 1, ..., N i where N i indicates the number of spikes appeared on the specific node i define point processes u i (t) = Ni j=1 δ(t − t j i ).…”

Section: Spike Transmissionmentioning

confidence: 99%

“…[15]. The saltatory spike propagation occurs in myelinated axons where the activating sodium ion channels are concentrated at the nodes of Ranvier, which are separated by segments sheathed with myelin.…”

Section: Introductionmentioning

confidence: 99%

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Noisy saltatory spike propagation: The breakdown of signal transmission due to channel noise

Schmid

Hänggi

2010

Eur. Phys. J. Spec. Top.

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Noisy saltatory spike propagation along myelinated axons is studied within a stochastic HodgkinHuxley model. The intrinsic noise (whose strength is inverse proportional to the nodal membrane size) arising from fluctuations of the number of open ion channels influences the dynamics of the membrane potential in a node of Ranvier where the sodium ion channels are predominantly localized. The nodes of Ranvier are linearly coupled. As the measure for the signal propagation reliability we focus on the ratio between the number of initiated spikes and the transmitted spikes. This work supplements our earlier study [A. Ochab-Marcinek, G. Schmid, I. Goychuk and P. Hänggi, Phys. Rev E 79, 011904 (2009)] towards stronger channel noise intensity and supra-threshold coupling. For strong supra-threshold coupling the transmission reliability decreases with increasing channel noise level until the causal relationship is completely lost and a breakdown of the spike propagation due to the intrinsic noise is observed.

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Calculating the Consequences of Left-Shifted Nav Channel Activity in Sick Excitable Cells

Joós

Barlow

Morris

2017

Voltage-Gated Sodium Channels: Structure, Function and Channelopathies

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Two features common to diverse sick excitable cells are "leaky" Nav channels and bleb damage-damaged membranes. The bleb damage, we have argued, causes a channel kinetics based "leakiness." Recombinant (node of Ranvier type) Nav1.6 channels voltage-clamped in mechanically-blebbed cell-attached patches undergo a damage intensity dependent kinetic change. Specifically, they experience a coupled hyperpolarizing (left) shift of the activation and inactivation processes. The biophysical observations on Nav1.6 currents formed the basis of Nav-Coupled Left Shift (Nav-CLS) theory. Node of Ranvier excitability can be modeled with Nav-CLS imposed at varying LS intensities and with varying fractions of total nodal membrane affected. Mild damage from which sick excitable cells might recover is of most interest pathologically. Accordingly, Na/K ATPase (pump) activity was included in the modeling. As we described more fully in our other recent reviews, Nav-CLS in nodes with pumps proves sufficient to predict many of the pathological excitability phenomena reported for sick excitable cells. This review explains how the model came about and outlines how we have used it. Briefly, we direct the reader to studies in which Nav-CLS is being implemented in larger scale models of damaged excitable tissue. For those who might find it useful for teaching or research purposes, we coded the Nav-CLS/node of Ranvier model (with pumps) in NEURON. We include, here, the resulting "Regimes" plot of classes of excitability dysfunction.

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Noise-assisted spike propagation in myelinated neurons

Cited by 43 publications

References 31 publications

In-phase and anti-phase synchronization in noisy Hodgkin–Huxley neurons

In-phase and anti-phase synchronization in noisy Hodgkin–Huxley neurons

Noisy saltatory spike propagation: The breakdown of signal transmission due to channel noise

Calculating the Consequences of Left-Shifted Nav Channel Activity in Sick Excitable Cells

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