Encyclopedia of Computational Neuroscience

Living Edition
| Editors: Dieter Jaeger, Ranu Jung

Quasi-active Approximation of Nonlinear Dendritic Cables

  • Michiel W. H. RemmeEmail author
Living reference work entry
DOI: https://doi.org/10.1007/978-1-4614-7320-6_34-1

Definition

The quasi-active approximation of a dendritic cable is a linearized description of a cable with voltage-dependent membrane conductances. It is an extension of classical passive cable theory relying on linearization of the voltage-dependent conductances around a reference membrane potential (typically the resting potential). The current thereby acquires a linear current–voltage relationship but still has an activation time constant associated with it that determines its gating dynamics. This approximation accurately describes the frequency-dependent filtering of the nonlinear cable for sufficiently small voltage deflections around the reference potential.

Detailed Description

The use of linearized descriptions of voltage-dependent membrane conductances in point neuron models has a rich history, e.g., Hodgkin and Huxley (1952) already used this to analyze the subthreshold (oscillatory) response of the space-clampedsquid giant axon. However, the first use of such methods in a...

Keywords

Inverse Fourier Transform Impulse Response Function Squid Giant Axon Restorative Current Linearize Description 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Humboldt-Universität zu BerlinBerlinGermany