The diffusion of excitons in perovskites and transition metal dichalcogenides shows clear
anomalous, subdiffusive behaviour in experiments. In this paper we develop a non …

We formulate a fractional master equation in continuous time with random transition
probabilities across the population of random walkers such that the effective underlying …

Evolution equations with convolution-type integral operators have a history of study, yet a
gap exists in the literature regarding the link between certain convolution kernels and new …

A stochastic nonlinear model for Rab5 and Rab7 proteins describing the transformation of
early endosomes into late endosomes was formulated. This model consists of two stochastic …

In this paper, we set up a stochastic model for the dynamics of active Rab5 and Rab7
proteins on the surface of endosomes and the acidification process that govern the virus …

By means of analytical calculations and numerical simulations, we study the diffusion
properties in quasi-two-dimensional structures with two exciton subsystems with an …

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 probability …

Transport of vesicles and organelles inside cells consists of constant-speed bidirectional
movement along cytoskeletal filaments interspersed by periods of idling. This transport …

The influence of multiplicative noise on the dynamics of active Rab5 and Rab7 proteins on
the surface of endosomes has been studied. We have formulated a stochastic model of the …

A non-Markovian model of tumor cell invasion with finite velocity is proposed to describe the
proliferation and migration dichotomy of cancer cells. The model considers transitions with …