Abstract #0716

# Stick power law scaling in neurons withstands realistic curvature and branching

Jonas Lynge Olesen1,2 and Sune Nørhøj Jespersen1,2
1Center of Functionally Integrative Neuroscience (CFIN) and MINDLab, Department of Clinical Medicine, Aarhus University, Aarhus, Denmark, 2Department of physics and Astronomy, Aarhus University, Aarhus, Denmark

A main idea contained in the standard model of diffusion is to model neurons with zero-width sticks. A resulting signature is the prediction that in the large b limit, the isotropically averaged signal scales as $$1/\sqrt{b}$$\$ which has been verified in white matter but not gray matter. This has multiple proposed causes including dendrite curvature and branching. Here, we report on Monte Carlo simulations in 3D reconstructed neurons and find that branching and curvature do not break the power law scaling. On the other hand,the soma is found to limit the regime in which stick scaling is observed.

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