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


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...


Inverse Fourier Transform Impulse Response Function Squid Giant Axon Restorative Current Linearize Description 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Humboldt-Universität zu BerlinBerlinGermany