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J Neurophysiol 96: 872-890, 2006. First published April 19, 2006; doi:10.1152/jn.00079.2006
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INNOVATIVE METHODOLOGY

Efficient Estimation of Detailed Single-Neuron Models

Quentin J. M. Huys1,*, Misha B. Ahrens1,* and Liam Paninski2

1Gatsby Computational Neuroscience Unit, University College London, London, United Kingdom; and 2Department of Statistics and Center for Theoretical Neuroscience, Columbia University, New York, New York

Submitted 24 January 2006; accepted in final form 14 April 2006

Biophysically accurate multicompartmental models of individual neurons have significantly advanced our understanding of the input–output function of single cells. These models depend on a large number of parameters that are difficult to estimate. In practice, they are often hand-tuned to match measured physiological behaviors, thus raising questions of identifiability and interpretability. We propose a statistical approach to the automatic estimation of various biologically relevant parameters, including 1) the distribution of channel densities, 2) the spatiotemporal pattern of synaptic input, and 3) axial resistances across extended dendrites. Recent experimental advances, notably in voltage-sensitive imaging, motivate us to assume access to: i) the spatiotemporal voltage signal in the dendrite and ii) an approximate description of the channel kinetics of interest. We show here that, given i and ii, parameters 1–3 can be inferred simultaneously by nonnegative linear regression; that this optimization problem possesses a unique solution and is guaranteed to converge despite the large number of parameters and their complex nonlinear interaction; and that standard optimization algorithms efficiently reach this optimum with modest computational and data requirements. We demonstrate that the method leads to accurate estimations on a wide variety of challenging model data sets that include up to about 104 parameters (roughly two orders of magnitude more than previously feasible) and describe how the method gives insights into the functional interaction of groups of channels.


Address for reprint requests and other correspondence: Q.J.M. Huys, Gatsby Computational Neuroscience Unit, University College London, Alexandra House, 17 Queen Square, London WC1N 3AR, UK (E-mail: qhuys.ahrens{at}gatsby.ucl.ac.uk)




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