Literature DB >> 1562643

Reduction of conductance-based neuron models.

T B Kepler1, L F Abbott, E Marder.   

Abstract

We present a scheme for systematically reducing the number of differential equations required for biophysically realistic neuron models. The techniques are general, are designed to be applicable to a large set of such models and retain in the reduced system as high a degree of fidelity to the original system as possible. As examples, we provide reductions of the Hodgkin-Huxley system and the A-current model of Connor et al. (1977).

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Year:  1992        PMID： 1562643     DOI： 10.1007/bf00197717

Source DB:  PubMed          Journal:  Biol Cybern        ISSN： 0340-1200            Impact factor:   2.086


  11 in total

1.  A quantitative description of membrane current and its application to conduction and excitation in nerve.

Authors:  A L HODGKIN; A F HUXLEY
Journal:  J Physiol       Date:  1952-08       Impact factor: 5.182

2.  Impulses and Physiological States in Theoretical Models of Nerve Membrane.

Authors:  R Fitzhugh
Journal:  Biophys J       Date:  1961-07       Impact factor: 4.033

3.  Excitation dynamics: insights from simplified membrane models.

Authors:  J Rinzel
Journal:  Fed Proc       Date:  1985-12

4.  A logical calculus of the ideas immanent in nervous activity. 1943.

Authors:  W S McCulloch; W Pitts
Journal:  Bull Math Biol       Date:  1990       Impact factor: 1.758

5.  The assembly of ionic currents in a thalamic neuron. I. The three-dimensional model.

Authors:  R M Rose; J L Hindmarsh
Journal:  Proc R Soc Lond B Biol Sci       Date:  1989-08-22

6.  [Analysis of the equations of excitable membranes. I. Reduction of the Hodgkins-Huxley equations to a 2d order system].

Authors:  V I Krinskiĭ; Iu M Kokoz
Journal:  Biofizika       Date:  1973 May-Jun

7.  Neural networks and physical systems with emergent collective computational abilities.

Authors:  J J Hopfield
Journal:  Proc Natl Acad Sci U S A       Date:  1982-04       Impact factor: 11.205

8.  A model of the nerve impulse using two first-order differential equations.

Authors:  J L Hindmarsh; R M Rose
Journal:  Nature       Date:  1982-03-11       Impact factor: 49.962

9.  Mathematical model of an identified stomatogastric ganglion neuron.

Authors:  F Buchholtz; J Golowasch; I R Epstein; E Marder
Journal:  J Neurophysiol       Date:  1992-02       Impact factor: 2.714

10.  Neural repetitive firing: modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons.

Authors:  J A Connor; D Walter; R McKown
Journal:  Biophys J       Date:  1977-04       Impact factor: 4.033
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  25 in total

1.  Period doubling of calcium spike firing in a model of a Purkinje cell dendrite.

Authors:  Y Mandelblat; Y Etzion; Y Grossman; D Golomb
Journal:  J Comput Neurosci       Date:  2001 Jul-Aug       Impact factor: 1.621

2.  Morphologically accurate reduced order modeling of spiking neurons.

Authors:  Anthony R Kellems; Saifon Chaturantabut; Danny C Sorensen; Steven J Cox
Journal:  J Comput Neurosci       Date:  2010-03-19       Impact factor: 1.621

3.  Ion channel degeneracy enables robust and tunable neuronal firing rates.

Authors:  Guillaume Drion; Timothy O'Leary; Eve Marder
Journal:  Proc Natl Acad Sci U S A       Date:  2015-09-09       Impact factor: 11.205

4.  Two computational regimes of a single-compartment neuron separated by a planar boundary in conductance space.

Authors:  Brian Nils Lundstrom; Sungho Hong; Matthew H Higgs; Adrienne L Fairhall
Journal:  Neural Comput       Date:  2008-05       Impact factor: 2.026

5.  Dynamical instability determines the effect of ongoing noise on neural firing.

Authors:  David E O'Gorman; John A White; Christopher A Shera
Journal:  J Assoc Res Otolaryngol       Date:  2009-03-24

6.  Emergence of adaptive computation by single neurons in the developing cortex.

Authors:  Rebecca A Mease; Michael Famulare; Julijana Gjorgjieva; William J Moody; Adrienne L Fairhall
Journal:  J Neurosci       Date:  2013-07-24       Impact factor: 6.167

7.  Pyramidal neurons switch from integrators in vitro to resonators under in vivo-like conditions.

Authors:  Steven A Prescott; Stéphanie Ratté; Yves De Koninck; Terrence J Sejnowski
Journal:  J Neurophysiol       Date:  2008-10-01       Impact factor: 2.714

8.  Oscillator model reduction preserving the phase response: application to the circadian clock.

Authors:  Stephanie R Taylor; Francis J Doyle; Linda R Petzold
Journal:  Biophys J       Date:  2008-05-16       Impact factor: 4.033

Review 9.  Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism.

Authors:  A Destexhe; Z F Mainen; T J Sejnowski
Journal:  J Comput Neurosci       Date:  1994-08       Impact factor: 1.621

10.  Reduction of stochastic conductance-based neuron models with time-scales separation.

Authors:  Gilles Wainrib; Michèle Thieullen; Khashayar Pakdaman
Journal:  J Comput Neurosci       Date:  2011-08-13       Impact factor: 1.621
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