Superstatistical modelling of protein diffusion dynamics in bacteria
arXiv:2010.13865 · doi:10.1098/rsif.2020.0927
Abstract
A recent experiment [Sadoon AA, Wang Y. 2018 Phys. Rev. E 98, 042411] has revealed that nucleoid associated proteins (i.e., DNA-binding proteins) exhibit highly heterogeneous diffusion processes in bacteria where not only the diffusion constant but also the anomalous diffusion exponent fluctuates for the various proteins. The distribution of displacements of such proteins is observed to take a q-Gaussian form, which decays as a power law. Here, a statistical model is developed for the diffusive motion of the proteins within the bacterium, based on a superstatistics with two variables. This model hierarchically takes into account the joint fluctuations of both the anomalous diffusion exponents and the diffusion constants. A fractional Brownian motion is discussed as a possible local model. Good agreement with the experimental data is obtained.
48 pages, 4 figures. The discussion has been developed further and some additional references were added. Published version
References in corpus (24)
- Anomalous transport in the crowded world of biological cells
- Superstatistics
- Dynamical foundations of nonextensive statistical mechanics
- Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities
- Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking
- Ergodic Properties of Fractional Brownian-Langevin Motion
- Viscoelastic subdiffusion: from anomalous to normal
- Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics
- Elucidating the Origin of Heterogeneous Anomalous Diffusion in the Cytoplasm of Mammalian Cells
- Generalized entropies and the transformation group of superstatistics
- Spectral content of a single non-Brownian trajectory
- Superstatistics, thermodynamics, and fluctuations
- A model of non-Gaussian diffusion in heterogeneous media
- Fractional kinetics emerging from ergodicity breaking in random media
- The Hitchhiker model for Laplace diffusion processes in the cell environment
- Heterogeneities Shape Passive Intracellular Transport
- Superstatistical approach to air pollution statistics
- Non-Gaussian diffusion of mixed origins
- Optimal parameters for anomalous diffusion exponent estimation from noisy data
- Heterogeneous anomalous diffusion in view of superstatistics
- Rocking Subdiffusive Ratchets: Origin, Optimization and Efficiency
- Fokker-Planck Theory of Nonequilibrium Systems Governed by Hierarchical Dynamics
- Time evolution of entropy associated with diffusivity fluctuations: Diffusing diffusivity approach
- Connecting metapopulation heterogeneity to aggregated lifetime statistics
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- Superstatistical approach of the anomalous exponent for scaled Brownian motion
- Spatio-temporal complexity of power-grid frequency fluctuations
- Anomalous diffusion, non-Gaussianity, and nonergodicity for subordinated fractional Brownian motion with a drift
- Kappa distribution from particle correlations in non-equilibrium, steady-state plasmas
- Fluctuating diffusivity of RNA-protein particles: Analogy with thermodynamics
- Conditional entropic approach to nonequilibrium complex systems with weak fluctuation correlation
- Super-resolved anomalous diffusion: deciphering the joint distribution of anomalous exponent and diffusion coefficient
- Weak correlation between fluctuations in protein diffusion inside bacteria
- Fundamental temperature exclusively determines the validity of superstatistics
- Fractional Ito Calculus for Randomly Scaled Fractional Brownian Motion and its Applications to Evolution Equations
- On the thermodynamic analogy of intracellular diffusivity fluctuations
- Fluctuations of water quality time series in rivers follow superstatistics