Definition
The visual display of the behavior of a neuron, a neuron model, or a network of neurons or neuron models, for a number of parameters which govern model behavior or describe a series of observations.
Detailed Description
Computational neuron and network models have a number of free parameters that influence the models’ behavior. For example, a leaky integrate-and-fire model may allow for adjusting two parameters, the leak conductance and the resting potential. More parameters are needed to characterize more elaborate point neuron models like the Izhikevich model (4 parameters; Izhikevich 2007) or the exponential adaptive integrate-and-fire model (6 parameters, Gerstner and Brette 2005). Biophysical models that contain cable equations for passive membranes and Hodgkin–Huxley-type dynamics for active channels easily reach parameter counts of a dozen or more. Even higher parameter counts are achieved when coupling several neurons in a network, since synaptic coupling strengths...
References
Gerstner W, Brette R (2005) Adaptive Integrate-and-fire model. Scholarpedia 4:8427
Izhikevich E (2007) Dynamical systems in neuroscience. MIT Press, Cambridge, MA
LeBlanc J, Ward MO, Wittels N (1990) Exploring n-dimensional databases. In: VIS ’90: Proceedings of the 1st conference on visualization ’90. IEEE Computer Society Press, Los Alamitos, pp 230–237
Prinz AA, Billimoria CP, Marder E (2003) Alternative to hand-tuning conductance-based models: construction and analysis of databases of model neurons. J Neurophysiol 90:3998–4015
Roweis ST, Saul LK (2000) Nonlinear dimensionality reduction by locally linear embedding. Science 290:2323–2326
Schmuker M (2013) https://github.com/Huitzilo/param-space-visu. Accessed 25 Sept 2013
Taylor AL, Hickey TJ, Prinz AA, Marder E (2006) Structure and visualization of high-dimensional conductance spaces. J Neurophysiol 96:891–905
Tenenbaum JB, de Silva V, Langford JC (2000) A global geometric framework for nonlinear dimensionality reduction. Science 290:2319–2323
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Schmuker, M. (2014). Neuronal Parameter Space Visualization. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_175-1
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DOI: https://doi.org/10.1007/978-1-4614-7320-6_175-1
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