Nerve-Model Experiments on Fluctuation in Excitability

Hoopen, M. Ten; Verveen, A. A.

doi:10.1016/s0079-6123(08)62056-7

Cited by 17 publications

(8 citation statements)

References 16 publications

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“…The integrated-Gaussian (error function) description of single-pulse discharge probability given by (3) is consistent with both physiological results [7], [17]- [19] and modeling studies [6], [9] investigating the response of nerve to monophasic pulses. However, we wish to investigate how accurately this description predicts data from the cat AN in response to biphasic pulses.…”

Section: B Model Predictions Of Single-pulsesupporting

confidence: 78%

“…However, a small amount of stochastic activity was present in the squid giant axon [13] and frog node [14], [15] data on which many deterministic models are based [16]. Furthermore, potentially significant variance has been measured in the responses of fibers to single-current pulses [7], [17]- [19] and pulse trains [8], [20], [21], which cannot be explained by deterministic models.…”

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confidence: 99%

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A stochastic model of the electrically stimulated auditory nerve: single-pulse response

Bruce

White

Irlicht

et al. 1999

IEEE Trans. Biomed. Eng.

115

113

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Most models of neural response to electrical stimulation, such as the Hodgkin-Huxley equations, are deterministic, despite significant physiological evidence for the existence of stochastic activity. For instance, the range of discharge probabilities measured in response to single electrical pulses cannot be explained at all by deterministic models. Furthermore, there is growing evidence that the stochastic component of auditory nerve response to electrical stimulation may be fundamental to functionally significant physiological and psychophysical phenomena. In this paper we present a simple and computationally efficient stochastic model of single-fiber response to single biphasic electrical pulses, based on a deterministic threshold model of action potential generation. Comparisons with physiological data from cat auditory nerve fibers are made, and it is shown that the stochastic model predicts discharge probabilities measured in response to single biphasic pulses more accurately than does the equivalent deterministic model. In addition, physiological data show an increase in stochastic activity with increasing pulse width of anodic/cathodic biphasic pulses, a phenomenon not present for monophasic stimuli. These and other data from the auditory nerve are then used to develop a population model of the total auditory nerve, where each fiber is described by the single-fiber model.

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Section: B Model Predictions Of Single-pulsesupporting

confidence: 78%

mentioning

confidence: 99%

A stochastic model of the electrically stimulated auditory nerve: single-pulse response

Bruce

White

Irlicht

et al. 1999

IEEE Trans. Biomed. Eng.

115

113

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“…The coefficient of variation (the normalized standard deviation) is constant for a given fiber. The latency distributions exhibit a rather complex dependence on duration and amplitude of the stimulus (Pecher, [8] Horvath et al, [9] ten Hoopen and Verveen [10] ).…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, fluctuations of the critical depolarization level or of the resting membrane voltage must be involved. Theoretical studies (Landahl; [62] Verveen; [5] ten Hoopen and Verveen; [10] and Weiss [15] ) and model experiments (ten Hoopen and Verveen [10] and Weiss [15] ) have been made to investigate whether a single noise source could explain the fluctuations in the observed stimulus-response relationship. The central mathematical problem is related to the axis-crossing problem: starting from a given level (the resting membrane potential), a timedependent function (the stimulus-induced depolarization) crosses a critical level.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation phenomena in nerve membrane

1968

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The fluctuations of the voltage across the resting membrane of myelinated nerve fibers have been analyzed. They show a 1/f spectrum and a Gaussian amplitude distribution and are related to the net flow of potassium through the membrane. When the average membrane voltage is made more negative by means of an external current, depolarizing deflections can be observed. They cause an asymmetry in the noise amplitude distribution and a marked increase in the subaudio spectral components of the noise. The depolarizing deflections can be attributed to batch-wise inflow of sodium ions. Possible mechanisms of both types of membrane voltage fluctuations are discussed.

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“…As the voltage is increased gradually, the firing index will increase until at voltage V+ AV, the firing index reaches 100%. This fluctuation in excitability is an inherent property of animal and human axons (Blair and Erlanger, 1933;Pecher, 1939;Verveen, 1962;Ten Hoopen and Verveen, 1963;Bergmans, 1970;Brown and Milner-Brown, 1976). Figure 1C shows a schematic diagram of the firing index plots of six motor units.…”

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confidence: 99%

New methods of estimating the number of motor units in a muscle.

Milner-Brown¹,

Brown²

1976

Journal of Neurology, Neurosurgery & Psychiatry

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Panayiotopoulos et al. (1974), but both these two methods are influenced by the same two critical assumptions.The first important factor in the estimation of the number of motor units in a muscle, which have so far been disregarded by the above authors, are inherent properties of motor axons: the fluctuations in their electrical excitability and their overlap in firing levels. The second important factor is that motor units whose sizes are much larger than the incremental steps evoked by nerve stimulation can be isolated by the isometric voluntary contraction method (Milner-Brown et al., 1973a), the F-recurrent discharge method (Brown and Feasby, 1974), and by stimulation of multiple points along the

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Nerve-Model Experiments on Fluctuation in Excitability

Cited by 17 publications

References 16 publications

A stochastic model of the electrically stimulated auditory nerve: single-pulse response

A stochastic model of the electrically stimulated auditory nerve: single-pulse response

Fluctuation phenomena in nerve membrane

New methods of estimating the number of motor units in a muscle.

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