The Hitchhiker model for Laplace diffusion processes in the cell environment

Abstract

Aggregation and fragmentation of single molecules in the cell environment lead to a spectrum of diffusivities and to statistical laws of movement very different from typical Brownian motion. Current models of intracellular transport do not explain at a microscopical level the emergence of theses deviations. Employing a many body approach, which we call the Hitchhiker model, we elucidate how the widely observed exponential tails in the particle spreading, i.e. the Laplace distribution and the modulations of the diffusivities, are controlled by size fluctuations of single molecules. By means of numerical simulations Laplace distributions are obtained whether we track one molecule or many molecules in parallel. However, we show that the diffusivity varies significantly depending on which tracking protocol is applied. Using a renewal process in the space of sizes, we quantify to what extent the average diffusivity in the single molecule technique is decreased compared with the ensemble average.

8 pages, 7 figures

References in corpus (5)

• Universal nature of particle displacements close to glass and jamming transitions
• "Diffusing diffusivity": A model for anomalous and "anomalous yet Brownian" diffusion
• Diffusion-limited reactions in dynamic heterogeneous media
• Random coefficient autoregressive processes describe Brownian yet non-Gaussian diffusion in heterogeneous systems
• Non-Gaussian Normal Diffusion in a Fluctuating Corrugated Channel

Cited by in corpus (27)

• Universal relation between instantaneous diffusivity and radius of gyration of proteins in aqueous solution
• Colossal Brownian yet non-Gaussian diffusion induced by nonequilibrium noise
• Large deviations for continuous time random walks
• Length scales in Brownian yet non-Gaussian dynamics
• Superstatistical modelling of protein diffusion dynamics in bacteria
• Non-Gaussian diffusion near surfaces
• Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions
• Cooperatively enhanced reactivity and 'stabilitaxis' of dissociating oligomeric proteins
• Brownian non-Gaussian polymer diffusion and queing theory in the mean-field limit
• Non-Gaussian displacement distributions in models of heterogeneous active particle dynamics
• Polymers critical point originates Brownian non-Gaussian diffusion
• Transport and Diffusion Enhancement in Experimentally Realized Non-Gaussian Correlated Ratchets
• Ergodic property of Langevin systems with superstatistical, uncorrelated or correlated diffusivity
• Heterogeneous biological membranes regulate protein partitioning via fluctuating diffusivity
• Exact first-passage time distributions for three random diffusivity models
• Absence of confinement and non-Boltzmann stationary states of fractional Brownian motion in shallow external potentials
• Brownian non-Gaussian diffusion of self-avoiding walks
• Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking
• Transport and fluctuations in mass aggregation processes: mobility driven clustering
• A molecular relay race: sequential first-passage events to the terminal reaction centre in a cascade of diffusion controlled processes
• Colossal Brownian yet non-Gaussian diffusion in a periodic potential: impact of nonequilibrium noise amplitude statistics
• Weak correlation between fluctuations in protein diffusion inside bacteria
• Conditional entropic approach to nonequilibrium complex systems with weak fluctuation correlation
• Telomeres in Lamin-A Depleted Cells Exhibit Directed Motion and Dynamic Coherence
• Understanding Brownian yet non-Gaussian diffusion via long-range molecular interactions
• Observation-Time-Induced Crossover from Fluctuating Diffusivity
• Random diffusivity scenarios behind anomalous non-Gaussian diffusion