136 citations · 813 across the 36 of their papers we have counts for
22 papers · 1 filter
Anomalous stochastic transport of particles with self-reinforcement and Mittag-Leffler distributed rest times
Daniel Han, Dmitri V. Alexandrov, Anna Gavrilova +1
We introduce a persistent random walk model for the stochastic transport of particles involving self-reinforcement and a rest state with Mittag-Leffler distributed residence times.…
Self-reinforcing directionality generates Lévy walks without the power-law assumption
Daniel Han, Marco A. A. da Silva, Nickolay Korabel +1
We introduce a persistent random walk model with finite velocity and self-reinforcing directionality, which explains how exponentially distributed runs self-organize into truncated…
Asymptotic behavior of the solution of the space dependent variable order fractional diffusion equation: ultra-slow anomalous aggregation
Sergei Fedotov, Daniel Han
We find for the first time the asymptotic representation of the solution to the space dependent variable order fractional diffusion and Fokker-Planck equations. We identify a new a…
Memory effects and Lévy walk dynamics in intracellular transport of cargoes
Sergei Fedotov, Nickolay Korabel, Thomas A. Waigh +2
We demonstrate the phenomenon of cumulative inertia in intracellular transport involving multiple motor proteins in human epithelial cells by measuring the empirical survival proba…
Subdiffusive Transport in Heterogeneous Patchy Environments
Sergei Fedotov, Helena Stage
Transport across heterogeneous, patchy environments is a ubiquitous phenomenon spanning fields of study including ecological movement, intracellular transport and regions of specia…
Emergence of Lévy Walks in Systems of Interacting Individuals
Sergei Fedotov, Nickolay Korabel
Recent experiments (G. Ariel, et al., Nature Comm. 6, 8396 (2015)) revealed an intriguing behavior of swarming bacteria: they fundamentally change their collective motion from simp…