32 citations · 61 across the 12 of their papers we have counts for
12 papers
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…
Oscillatory Active Brownian Motion: A Minimal Model for Sperm Dynamics
Adrian Pacheco-Pozo, Arturo Matamoros Volante, Pilar Ameijeiras +2
Active biological microswimmers typically combine persistent self-propulsion with cyclic motion generated by flagellar or ciliary beating. However, standard active Brownian motion…
Turning angle analysis reveals hidden anisotropies in intracellular transport
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…
Two-dimensional fractional Brownian motion: Analysis in time and frequency domains
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomańska +2
This article introduces a novel construction of the two-dimensional fractional Brownian motion (2D fBm) with dependent components. Unlike similar models discussed in the literature…
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…
Fractional Brownian motion with fluctuating diffusivities
Adrian Pacheco-Pozo, Diego Krapf
Despite the success of fractional Brownian motion (fBm) in modeling systems that exhibit anomalous diffusion due to temporal correlations, recent experimental and theoretical studi…
Langevin equation in heterogeneous landscapes: how to choose the interpretation
Adrian Pacheco-Pozo, Michał Balcerek, Agnieszka Wyłomańska +3
The Langevin equation is a common tool to model diffusion at a single-particle level. In non-homogeneous environments, such as aqueous two-phase systems or biological condensates w…
Quantitative evaluation of methods to analyze motion changes in single-particle experiments
Gorka Muñoz-Gil, Harshith Bachimanchi, Jesús Pineda +33
The analysis of live-cell single-molecule imaging experiments can reveal valuable information about the heterogeneity of transport processes and interactions between cell component…
Objective comparison of methods to decode anomalous diffusion
Gorka Muñoz-Gil, Giovanni Volpe, Miguel Angel Garcia-March +31
Deviations from Brownian motion leading to anomalous diffusion are found in transport dynamics from quantum physics to life sciences. The characterization of anomalous diffusion fr…