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J Neurophysiol 87: 1129-1131, 2002;
0022-3077/02 $5.00
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The Journal of Neurophysiology Vol. 87 No. 2 February 2002, pp. 1129-1131
Copyright ©2002 by the American Physiological Society

RAPID COMMUNICATION

Failure of Averaging in the Construction of a Conductance-Based Neuron Model

Jorge Golowasch,1 Mark S. Goldman,1,2 L. F. Abbott,1 and Eve Marder1

 1Volen Center for Complex Systems and Department of Biology, Brandeis University, Waltham 02454; and  2Department of Physics, Harvard University, Cambridge, Massachusetts 02138

Golowasch, Jorge, Mark S. Goldman, L. F. Abbott, and Eve Marder. Failure of Averaging in the Construction of a Conductance-Based Neuron Model. J. Neurophysiol. 87: 1129-1131, 2002. Parameters for models of biological systems are often obtained by averaging over experimental results from a number of different preparations. To explore the validity of this procedure, we studied the behavior of a conductance-based model neuron with five voltage-dependent conductances. We randomly varied the maximal conductance of each of the active currents in the model and identified sets of maximal conductances that generate bursting neurons that fire a single action potential at the peak of a slow membrane potential depolarization. A model constructed using the means of the maximal conductances of this population is not itself a one-spike burster, but rather fires three action potentials per burst. Averaging fails because the maximal conductances of the population of one-spike bursters lie in a highly concave region of parameter space that does not contain its mean. This demonstrates that averages over multiple samples can fail to characterize a system whose behavior depends on interactions involving a number of highly variable components.




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