Memory effects and Lévy walk dynamics in intracellular transport of cargoes

Abstract

We demonstrate the phenomenon of cumulative inertia in intracellular transport involving multiple motor proteins in human epithelial cells by measuring the empirical survival probability of cargoes on the microtubule and their detachment rates. We found the longer a cargo moves along a microtubule, the less likely it detaches from it. As a result, the movement of cargoes is non-Markovian and involves a memory. We observe memory effects on the scale of up to 2 seconds. We provide a theoretical link between the measured detachment rate and the super-diffusive Levy walk-like cargo movement.

arXiv comment9 pages, 6 figures

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• Population heterogeneity in the fractional master equation, ensemble self-reinforcement and strong memory effects
• Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution
• A path-integral formulation of the run and tumble motion and chemotaxis in Escherichia coli
• A compounded random walk for space-fractional diffusion on finite domains
• Probability Thermodynamics and Probability Quantum Field
• Bayesian inference of Lévy walks via hidden Markov models
• Anomalous stochastic transport of particles with self-reinforcement and Mittag-Leffler distributed rest times
• The anomalous tango of hemocyte migration in Drosophila melanogaster embryos