More specifically, they’ve shown that optimal dendritic wiring successfully predicts a 2/3 power law between these three factors. Recently, neuroscientists studying the tree-like branching of these diverse structures at Wolfson Institute for Biomedical Research, and the Department of Neuroscience, Physiology, and Pharmacology, at University College London, have derived a surprisingly simple and general equation that directly relates dendrite length with the number of branch points, dendrite spanning volume, and number of synapses. (Medical Xpress) - That the brain is evolution at its finest is perhaps best demonstrated by the beauty, complexity and diversity of dendrites – tree-like structures that form neural circuits by connecting a neuron to its synaptic inputs. The relationships are constant between all these parameters for a wide range of values. number of target points n and their dependence on the balancing factor bf of the growth algorithm. (C) Synthetic dendritic trees with different 3D arrangements were generated and the number of branch points bp was plotted vs. (B) Relation between number of target points distributed in a spherical volume of 1,000,000 μm3 and total dendrite length of resulting synthetic dendrites connecting these points to a root in the center. (A) n target points (red) are distributed in a spherical volume V and connected to optimize wiring to a tree (black) with total length L. Consequences of optimal wiring for the predicted relationships between dendrite length, number of target points, and number of branch points.
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