40 citations · 143 across the 12 of their papers we have counts for
12 papers
The impact of population heterogeneity on the redundancy principle
Sergei Fedotov, Daniel Fears, Daniel Han
Biological signaling is often governed by extreme value statistics, where a rapid response relies on the fastest few out of a large redundant group of searchers. While extreme firs…
Population heterogeneity in the fractional master equation, ensemble self-reinforcement and strong memory effects
Sergei Fedotov, Daniel Han
We formulate a fractional master equation in continuous time with random transition probabilities across the population of random walkers such that the effective underlying random…
Identification of the nature of dynamical systems with recurrence plots and convolution neural networks: A preliminary test
Daniel Han, Giuseppe Orlando, Sergei Fedotov
In this study, we present a method for classifying dynamical systems using a hybrid approach involving recurrence plots and a convolution neural network (CNN). This is performed by…
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.…
Superdiffusion in self-reinforcing run-and-tumble model with rests
Sergei Fedotov, Daniel Han, Alexey O Ivanov +1
This paper introduces a run-and-tumble model with self-reinforcing directionality and rests. We derive a single governing hyperbolic partial differential equation for the probabili…
The anomalous tango of hemocyte migration in Drosophila melanogaster embryos
Nickolay Korabel, Giuliana D. Clemente, Daniel Han +3
Drosophila melanogaster hemocytes are highly motile cells that are crucial for successful embryogenesis and have important roles in the organism's immunological response. Hemocyte…
Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast moving Endosomes
Nickolay Korabel, Daniel Han, Alessandro Taloni +4
Trajectories of endosomes inside living eukaryotic cells are highly heterogeneous in space and time and diffuse anomalously due to a combination of viscoelasticity, caging, aggrega…
Unravelling Heterogeneous Transport of Endosomes
Nickolay Korabel, Daniel Han, Alessandro Taloni +4
A major open problem in biophysics is to understand the highly heterogeneous transport of many structures inside living cells, such as endosomes. We find that mathematically it is…
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…
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…