32 citations · 52 across the 11 of their papers we have counts for
8 papers · 1 filter
Improved mean squared displacement analysis for anomalous single particle trajectories
Jakub Ślęzak, Joanna Janczura, Diego Krapf +1
The mean squared displacement (MSD) is a cornerstone in the analysis of diffusion processes in complex media. When the system is heterogeneous and, in particular, when single-parti…
Turning angle analysis reveals hidden anisotropies in the anomalous diffusion of molecules in live cells
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomańska +1
Molecular motion within living cells provides a window into the physical principles underlying intracellular organization and transport. Yet a fundamental limitation remains: measu…
Heterogeneous diffusion in an harmonic potential: the role of the interpretation
Adrian Pacheco-Pozo, Igor M. Sokolov, Ralf Metzler +1
Diffusion in heterogeneous energy and diffusivity landscapes is widespread in biological systems. However, solving the Langevin equation in such environments introduces ambiguity d…
Evaluating Gaussianity of heterogeneous fractional Brownian motion
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomańska +1
Heterogeneous diffusion processes are prevalent in various fields, including the motion of proteins in living cells, the migratory movement of birds and mammals, and finance. These…
Analytical results for the distribution of first return times of non-backtracking random walks on configuration model networks
Dor Lev-Ari, Ido Tishby, Ofer Biham +2
We present analytical results for the distribution of first return (FR) times of non-backtracking random walks (NBWs) on undirected configuration model networks consisting of n…
Two-dimensional Brownian motion with dependent components: turning angle analysis
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomanska +2
Brownian motion in one or more dimensions is extensively used as a stochastic process to model natural and engineering signals, as well as financial data. Most works dealing with m…