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J Neurophysiol 83: 2113-2119, 2000;
0022-3077/00 $5.00
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The Journal of Neurophysiology Vol. 83 No. 4 April 2000, pp. 2113-2119
Copyright ©2000 by the American Physiological Society

Optimal Sizes of Dendritic and Axonal Arbors in a Topographic Projection

Dmitri B. Chklovskii

Sloan Center for Theoretical Neurobiology, The Salk Institute, La Jolla, California 92037

Chklovskii, Dmitri B. Optimal Sizes of Dendritic and Axonal Arbors in a Topographic Projection. J. Neurophysiol. 83: 2113-2119, 2000. I consider a topographic projection between two neuronal layers with different densities of neurons. Given the number of output neurons connected to each input neuron (divergence) and the number of input neurons synapsing on each output neuron (convergence), I determine the widths of axonal and dendritic arbors which minimize the total volume of axons and dendrites. Analytical results for one-dimensional and two-dimensional projections can be summarized qualitatively in the following rule: neurons of the sparser layer should have arbors wider than those of the denser layer. This agrees with the anatomic data for retinal, cerebellar, olfactory bulb, and neocortical neurons the morphology and connectivity of which are known. The rule may be used to infer connectivity of neurons from their morphology.




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