A renewal model for the emergence of anomalous solute crowding in liposomes

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Date
2018-07-30Author
Vitali S.
Sposini V.
Sliusarenko O.
Paradisi P.
Castellani G.
Pagnini G.
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Show full item recordAbstract
The problem of biological motion is a very intriguing and topical issue.
Many efforts are being focused on the development of novel modelling
approaches for the description of anomalous diffusion in biological systems,
such as the very complex and heterogeneous cell environment. Nevertheless,
many questions are still open, such as the joint manifestation of statistical
features in agreement with different models that can also be somewhat alternative to each other, e.g. continuous time random walk and fractional Brownian
motion. To overcome these limitations, we propose a stochastic diffusion
model with additive noise and linear friction force (linear Langevin equation),
thus involving the explicit modelling of velocity dynamics. The complexity of
the medium is parametrized via a population of intensity parameters (relaxation time and diffusivity of velocity), thus introducing an additional
randomness, in addition to white noise, in the particle’s dynamics. We
prove that, for proper distributions of these parameters, we can get both
Gaussian anomalous diffusion, fractional diffusion and its generalizations.