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Power-law for axon diameters at branch point

D. Chklovskii,A. Stepanyants

Published 2003 in BMC Neuroscience

ABSTRACT

BackgroundAxon calibers vary widely among different animals, neuron classes, and even within the same neuron. What determines the diameter of axon branches?ResultsWe pursue the hypothesis that the axon caliber has evolved to minimize signal propagation delays, while keeping arbor volume to a minimum. For a general cost function, we show that the optimal diameters of mother and daughter branches at a bifurcation satisfy a power law. The derivation relies on the fact that the axon conduction speed scales as a power of axon diameter. Although available data are consistent with the law, there is a large spread in the data. Future experimental tests will determine whether this spread is due to biological variability or measurement error.ConclusionsMinimization of arbor volume and signal propagation delay may have been an important factor in the evolution of the brain.

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