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dc.contributor.authorVitali, S. 
dc.contributor.authorSposini, V.
dc.contributor.authorSliusarenko, O. 
dc.contributor.authorParadisi, P. 
dc.contributor.authorCastellani, G.
dc.contributor.authorPagnini, G.
dc.description.abstractThe 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.en_US
dc.description.sponsorshipV.S. acknowledges BCAM Internship Program, Bilbao, for the financial support to her internship research period during which she developed her master’s thesis research useful for her master’s degree in Physics at University of Bologna. S.V. acknowledges the University of Bologna for the financial support through the ‘Marco Polo Programme’ for her PhD research period abroad spent at BCAM, Bilbao, useful for her PhD degree in Physics at University of Bologna. P.P. acknowledges financial support from Bizkaia Talent and European Commission through COFUND scheme, 2015 Financial Aid Program for Researchers, project number AYD–000–252 hosted at BCAM, Bilbao.en_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.subjectanomalous diffusionen_US
dc.subjectheterogeneous mediaen_US
dc.subjectbiological transporten_US
dc.subjectGaussian Processen_US
dc.subjectspace-time fractional diffusionen_US
dc.subjectfractional brownian motionen_US
dc.titleLangevin equation in complex media and anomalous diffusionen_US
dc.journal.titleJournal of the Royal Society Interfaceen_US

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Reconocimiento-NoComercial-CompartirIgual 3.0 España
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