26 citations · 71 across the 5 of their papers we have counts for
5 papers
Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution
Sergei Fedotov, Daniel Han, Andrey Yu. Zubarev +2
In this paper, we formulate the space-dependent variable-order fractional master equation to model clustering of particles, organelles, inside living cells. We find its solution in…
Persistent random walk of cells involving anomalous effects and random death
Sergei Fedotov, Abby Tan, Andrey Zubarev
The purpose of this paper is to implement a random death process into a persistent random walk model which produces subballistic superdiffusion (Lévy walk). We develop a Markovian…
Non-homogeneous random walks, subdiffusive migration of cells and anomalous chemotaxis
S. Fedotov, A. O. Ivanov, A. Y. Zubarev
This paper is concerned with a non-homogeneous in space and non-local in time random walk model for anomalous subdiffusive transport of cells. Starting with a Markov model involvin…
Anomalous Transport and Nonlinear Reactions in Spiny Dendrites
Sergei Fedotov, Hamed Al-Shamsi, Alexey Ivanov +1
We present a \textit{mesoscopic}description of the anomalous transport and reactions of particles in spiny dendrites. As a starting point we use two-state Markovian model with the…
Memory Effects in Turbulent Dynamo: Generation and Propagation of Large Scale Magnetic Field
Sergei Fedotov, Alexey Ivanov, Andrey Zubarev
We are concerned with large scale magnetic field dynamo generation and propagation of magnetic fronts in turbulent electrically conducting fluids. An effective equation for the lar…