# Reduction of conductance-based neuron models

@article{Kepler2004ReductionOC, title={Reduction of conductance-based neuron models}, author={Thomas B. Kepler and L. F. Abbott and Eve Marder}, journal={Biological Cybernetics}, year={2004}, volume={66}, pages={381-387} }

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).

#### 116 Citations

Reduction of a conductance-based model for individual neurons

- 2012

We investigated schemes to systematically reduce the number of of different of differential equations required for biophysically realistic neuron model. The original scheme is invented by Thomas… Expand

Systematic Reduction of a Bursting Neuron Model

- Engineering, Medicine
- 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference
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- Computer Science, Medicine
- Biological Cybernetics
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This work presents an automated, algorithmic method for reducing conductance-based neuron models using the method of equivalent potentials and demonstrates that this algorithm is able to reduce the complexity of the original model with minimal performance loss, and requires minimal prior knowledge of the model’s dynamics. Expand

Two Computational Regimes of a Single-Compartment Neuron Separated by a Planar Boundary in Conductance Space

- Physics, Medicine
- Neural Computation
- 2008

It is demonstrated that Hodgkin-Huxley (HH) neurons can operate in two computational regimes: one that is more sensitive to input variance (differentiating) and another that is less sensitive (integrating), and a boundary plane in the 3D conductance space separates these two regimes. Expand

SOME GENERALIZATIONS OF INTEGRATE-AND-FIRE MODELS

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- 2003

We present a class of neuronal models that emits a spike ( res) if a scalar quantity, the membrane potential, satis es a threshold condition. Equations use two generic functions and that describe the… Expand

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- Mathematics, Medicine
- Journal of Computational Neuroscience
- 2011

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- Chemistry, Computer Science
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Modeling normal and rebound excitation in mammalian retinal ganglion cells

- Computer Science, Biology
- 2012 Annual International Conference of the IEEE Engineering in Medicine and Biology Society
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A novel missing currents technique is used to extend an existing conductance-based ionic current model of retinal ganglion cells that contains a hyperpolarization activated current (Ih) and can effectively simulate the mechanisms underlying both normal and rebound action potentials. Expand

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- Mathematics, Computer Science
- Journal of Computational Neuroscience
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- 2008

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