Weak Ergodicity Breaking of Receptor Motion in Living Cells Stemming from Random Diffusivity

@article{Manzo2015WeakEB,
  title={Weak Ergodicity Breaking of Receptor Motion in Living Cells Stemming from Random Diffusivity},
  author={Carlo Manzo and Juan A Torreno-Pina and Pietro Massignan and G John Lapeyre and Maciej Lewenstein and Maria F. Garcia Parajo},
  journal={Physical Review X},
  year={2015},
  volume={5},
  pages={011021}
}
Molecular transport in living systems regulates numerous processes underlying biological function. Although many cellular components exhibit anomalous diffusion, only recently has the subdiffusive motion been associated with nonergodic behavior. These findings have stimulated new questions for their implications in statistical mechanics and cell biology. Is nonergodicity a common strategy shared by living systems? Which physical mechanisms generate it? What are its implications for… 

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References

SHOWING 1-10 OF 60 REFERENCES

Ergodic and nonergodic processes coexist in the plasma membrane as observed by single-molecule tracking

TLDR
It is shown that an ergodic and a nonergodic process coexist in the plasma membrane and that when the cell is treated with drugs that inhibit actin polymerization, the diffusion pattern of Kv2.1 channels recovers ergodicity.

Anomalous transport in the crowded world of biological cells

TLDR
A large body of recent experimental evidence for anomalous transport in crowded biological media is reported on in cyto- and nucleoplasm as well as in cellular membranes, complemented by in vitro experiments where a variety of model systems mimic physiological crowding conditions.

Intracellular transport of insulin granules is a subordinated random walk

TLDR
The results provide a simple physical picture for how diverse pools of insulin granules and, in turn, biphasic secretion could arise and introduce a subordinated scheme in which particles in cages with random dwell times undergo correlated motions owing to interactions with a fluctuating environment.

Noisy continuous time random walks.

TLDR
This work presents and analyzes in detail an extension of the continuous time random walk model that represents a seminal model for the anomalous diffusion of tracer particles in complex environments and demonstrates that the resulting process exhibits a rich variety of apparent dynamic regimes.

Probing microscopic origins of confined subdiffusion by first-passage observables

TLDR
The results show that first-passage observables provide tools to unambiguously discriminate between the two possible microscopic scenarios of subdiffusion, and suggest experiments that could help in determining the origin of subDiffusion in complex media, such as living cells.

Particle invasion, survival, and non-ergodicity in 2D diffusion processes with space-dependent diffusivity.

TLDR
It is demonstrated that the time averaged MSD stays linear as a function of the lag time and the system thus reveals a weak ergodicity breaking, which will enable one to rationalise the diffusive motion of larger tracer particles such as viruses or submicron beads in biological cells.

Anomalous subdiffusion is a measure for cytoplasmic crowding in living cells.

TLDR
It is proposed that the anomality of the diffusion can be used as a quantifiable measure for the crowdedness of the cytoplasm at the molecular scale.

Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking.

TLDR
This Perspective is intended as a guidebook for both experimentalists and theorists working on systems, which exhibit anomalous diffusion, and pays special attention to the ergodicity breaking parameters for the different anomalous stochastic processes.

Diffusing diffusivity: a model for anomalous, yet Brownian, diffusion.

TLDR
A generic model where there is diffusivity memory but no direction memory in the particle trajectory is presented, and it is shown that it leads to both a linear MSD and a non-Gaussian G(x,t) at short times.
...