Complex dynamics of neuronal thresholds

David Horn; Irit Opher

doi:10.1016/S0925-2312(00)00158-2

Complex dynamics of neuronal thresholds

David Horn^*, Irit Opher

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Conference article › peer-review

Abstract

We study an integrate and fire model of an adapting neuron. Using two dynamic thresholds, we account for the complex long-term behavior of single neurons under periodic pulsed inputs. We find that the pattern of temporal response is that of a staircase of inter-spike interval values. The characteristic time scales of transitions between these ISI values are of the order of tens of seconds. The temporal behavior of our system can be described as a path through the two-dimensional phase space of dynamic thresholds. (C) 2000 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	161-166
Number of pages	6
Journal	Neurocomputing
Volume	32-33
DOIs	https://doi.org/10.1016/S0925-2312(00)00158-2
State	Published - Jun 2000
Event	The 8th Annual Computational Neuroscience Meeting (CNS'99) - Pittsburgh, PA, USA Duration: 18 Jul 1999 → 22 Jul 1999

Keywords

Dynamic thresholds
Dynamical system
ISI staircase

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10.1016/S0925-2312(00)00158-2

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abstract = "We study an integrate and fire model of an adapting neuron. Using two dynamic thresholds, we account for the complex long-term behavior of single neurons under periodic pulsed inputs. We find that the pattern of temporal response is that of a staircase of inter-spike interval values. The characteristic time scales of transitions between these ISI values are of the order of tens of seconds. The temporal behavior of our system can be described as a path through the two-dimensional phase space of dynamic thresholds. (C) 2000 Elsevier Science B.V. All rights reserved.",

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author = "David Horn and Irit Opher",

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AU - Horn, David

AU - Opher, Irit

PY - 2000/6

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N2 - We study an integrate and fire model of an adapting neuron. Using two dynamic thresholds, we account for the complex long-term behavior of single neurons under periodic pulsed inputs. We find that the pattern of temporal response is that of a staircase of inter-spike interval values. The characteristic time scales of transitions between these ISI values are of the order of tens of seconds. The temporal behavior of our system can be described as a path through the two-dimensional phase space of dynamic thresholds. (C) 2000 Elsevier Science B.V. All rights reserved.

AB - We study an integrate and fire model of an adapting neuron. Using two dynamic thresholds, we account for the complex long-term behavior of single neurons under periodic pulsed inputs. We find that the pattern of temporal response is that of a staircase of inter-spike interval values. The characteristic time scales of transitions between these ISI values are of the order of tens of seconds. The temporal behavior of our system can be described as a path through the two-dimensional phase space of dynamic thresholds. (C) 2000 Elsevier Science B.V. All rights reserved.

KW - Dynamic thresholds

KW - Dynamical system

KW - ISI staircase

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VL - 32-33

SP - 161

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JO - Neurocomputing

JF - Neurocomputing

Y2 - 18 July 1999 through 22 July 1999

ER -

Complex dynamics of neuronal thresholds

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Keywords

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