A new collection of real world applications of fractional calculus in science and engineering
Fractional calculus is at this stage an arena where many models are still to be introduced,
discussed and applied to real world applications in many branches of science and …
discussed and applied to real world applications in many branches of science and …
A review of progress in single particle tracking: from methods to biophysical insights
C Manzo, MF Garcia-Parajo - Reports on progress in physics, 2015 - iopscience.iop.org
Optical microscopy has for centuries been a key tool to study living cells with minimum
invasiveness. The advent of single molecule techniques over the past two decades has …
invasiveness. The advent of single molecule techniques over the past two decades has …
Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
A growing number of biological, soft, and active matter systems are observed to exhibit
normal diffusive dynamics with a linear growth of the mean-squared displacement, yet with a …
normal diffusive dynamics with a linear growth of the mean-squared displacement, yet with a …
Lévy walks
Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …
have uncovered significant deviations from the laws of Brownian motion in a variety of …
A pH-driven transition of the cytoplasm from a fluid-to a solid-like state promotes entry into dormancy
Cells can enter into a dormant state when faced with unfavorable conditions. However, how
cells enter into and recover from this state is still poorly understood. Here, we study …
cells enter into and recover from this state is still poorly understood. Here, we study …
Anomalous transport in the crowded world of biological cells
F Höfling, T Franosch - Reports on Progress in Physics, 2013 - iopscience.iop.org
A ubiquitous observation in cell biology is that the diffusive motion of macromolecules and
organelles is anomalous, and a description simply based on the conventional diffusion …
organelles is anomalous, and a description simply based on the conventional diffusion …
Stochastic models of intracellular transport
PC Bressloff, JM Newby - Reviews of Modern Physics, 2013 - APS
The interior of a living cell is a crowded, heterogenuous, fluctuating environment. Hence, a
major challenge in modeling intracellular transport is to analyze stochastic processes within …
major challenge in modeling intracellular transport is to analyze stochastic processes within …
Protein crowding in lipid bilayers gives rise to non-Gaussian anomalous lateral diffusion of phospholipids and proteins
Biomembranes are exceptionally crowded with proteins with typical protein-to-lipid ratios
being around 1∶ 50− 1∶ 100. Protein crowding has a decisive role in lateral membrane …
being around 1∶ 50− 1∶ 100. Protein crowding has a decisive role in lateral membrane …
Biological measurement beyond the quantum limit
Dynamic biological measurements require low light levels to avoid damaging the specimen.
With this constraint on optical power, quantum noise fundamentally limits the measurement …
With this constraint on optical power, quantum noise fundamentally limits the measurement …