50 citations · 119 across the 14 of their papers we have counts for
8 papers · 1 filter
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…
Multifractional Brownian motion with telegraphic, stochastically varying exponent
Michał Balcerek, Samudrajit Thapa, Krzysztof Burnecki +4
The diversity of diffusive systems exhibiting long-range correlations characterized by a stochastically varying Hurst exponent calls for a generic multifractional model. We present…
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…
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…
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…
Modelling intermittent anomalous diffusion with switching fractional Brownian motion
Michał Balcerek, Agnieszka Wyłomańska, Krzysztof Burnecki +2
The stochastic trajectories of molecules in living cells, as well as the dynamics in many other complex systems, often exhibit memory in their path over long periods of time. In ad…
Memory-multi-fractional Brownian motion with continuous correlations
Wei Wang, Michal Balcerek, Krzysztof Burnecki +6
We propose a generalization of the widely used fractional Brownian motion (FBM), memory-multi-FBM (MMFBM), to describe viscoelastic or persistent anomalous diffusion with time-depe…
Fractional Brownian motion with random Hurst exponent: accelerating diffusion and persistence transitions
Michał Balcerek, Krzysztof Burnecki, Samudrajit Thapa +2
Fractional Brownian motion, a Gaussian non-Markovian self-similar process with stationary long-correlated increments, has been identified to give rise to the anomalous diffusion be…