8 papers
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…
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…
Two-dimensional fractional Brownian motion: Analysis in time and frequency domains
MichaÅ Balcerek, Adrian Pacheco-Pozo, Agnieszka WyÅomaÅska +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
MichaÅ Balcerek, Adrian Pacheco-Pozo, Agnieszka WyÅomaÅska +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…
Two-dimensional Brownian motion with dependent components: turning angle analysis
MichaÅ Balcerek, Adrian Pacheco-Pozo, Agnieszka WyÅomanska +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…