Comb-like models for transport along spiny dendrites
Vicen\c{c} M\'endez, Alexander Iomin

TL;DR
This paper introduces a modified comb model to describe anomalous, subdiffusive transport in spiny dendrites, linking fractal geometry and fractional kinetics to experimental observations.
Contribution
It presents a novel comb model that captures the influence of spine density and fractal geometry on anomalous diffusion in dendrites.
Findings
Transport is subdiffusive along spiny dendrites.
Transport dynamics depend on spine density.
Model aligns with recent experimental data.
Abstract
We suggest a modification of a comb model to describe anomalous transport in spiny dendrites. Geometry of the comb structure consisting of a one-dimensional backbone and lateral branches makes it possible to describe anomalous diffusion, where dynamics inside fingers corresponds to spines, while the backbone describes diffusion along dendrites. The presented analysis establishes that the fractional dynamics in spiny dendrites is controlled by fractal geometry of the comb structure and fractional kinetics inside the spines. Our results show that the transport along spiny dendrites is subdiffusive and depends on the density of spines in agreement with recent experiments.
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