Models of anomalous diffusion in crowded environments

IM Sokolov - Soft Matter, 2012 - pubs.rsc.org
A particle's motion in crowded environments often exhibits anomalous diffusion, whose
nature depends on the situation at hand and is formalized within different physical models …

Quantifying postsynaptic receptor dynamics: insights into synaptic function

SA Maynard, J Ranft, A Triller - Nature Reviews Neuroscience, 2023 - nature.com
The molecular composition of presynaptic and postsynaptic neuronal terminals is dynamic,
and yet long-term stabilizations in postsynaptic responses are necessary for synaptic …

Neuronal spike timing adaptation described with a fractional leaky integrate-and-fire model

W Teka, TM Marinov, F Santamaria - PLoS computational biology, 2014 - journals.plos.org
The voltage trace of neuronal activities can follow multiple timescale dynamics that arise
from correlated membrane conductances. Such processes can result in power-law behavior …

Biophysics of biochemical signaling in dendritic spines: implications in synaptic plasticity

R Yasuda - Biophysical journal, 2017 - cell.com
Dendritic spines are mushroom-shaped postsynaptic compartments that host biochemical
signal cascades important for synaptic plasticity and, ultimately, learning and memory …

Biological context of Hebb learning in artificial neural networks, a review

E Kuriscak, P Marsalek, J Stroffek, PG Toth - Neurocomputing, 2015 - Elsevier
Abstract In 1949 Donald Olding Hebb formulated a hypothesis describing how neurons
excite each other and how the efficiency of this excitation subsequently changes with time. In …

Comb-like models for transport along spiny dendrites

V Méndez, A Iomin - Chaos, Solitons & Fractals, 2013 - Elsevier
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 …

Continuous time random walks with reactions forcing and trapping

CN Angstmann, IC Donnelly, BI Henry - Mathematical Modelling of …, 2013 - cambridge.org
One of the central results in Einstein's theory of Brownian motion is that the mean square
displacement of a randomly moving Brownian particle scales linearly with time. Over the …

Modeling multiple anomalous diffusion behaviors on comb-like structures

Z Wang, P Lin, E Wang - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work, a generalized comb model which includes the memory kernels and linear
reactions with irreversible and reversible parts are introduced to describe complex …

Reaction-subdiffusion front propagation in a comblike model of spiny dendrites

A Iomin, V Méndez - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
Fractional reaction-diffusion equations are derived by exploiting the geometrical similarities
between a comb structure and a spiny dendrite. In the framework of the obtained equations …

Control of Ca2+ signals by astrocyte nanoscale morphology at tripartite synapses

A Denizot, M Arizono, UV Nägerl, H Berry… - Glia, 2022 - Wiley Online Library
Much of the Ca2+ activity in astrocytes is spatially restricted to microdomains and occurs in
fine processes that form a complex anatomical meshwork, the so‐called spongiform domain …