Simulation of diffusion in a crowded environment

Diffusion in a crowded environment.

We analyze a pair of diffusion equations which are derived in the infinite system-size limit from a microscopic, individual based, stochastic model. Deviations from the conventional Fickian picture are found which ultimately relate to the depletion of resources on which the particles rely. The macroscopic equations are studied both analytically and numerically, and are shown to yield anomalous ...

Multiscale Modeling of Diffusion in a Crowded Environment.

We present a multiscale approach to model diffusion in a crowded environment and its effect on the reaction rates. Diffusion in biological systems is often modeled by a discrete space jump process in order to capture the inherent noise of biological systems, which becomes important in the low copy number regime. To model diffusion in the crowded cell environment efficiently, we compute the jump...

effect of sub-grid scales on large eddy simulation of particle deposition in a turbulent channel flow

چکیده ندارد.

Diffusion in macromolecular crowded media . Monte Carlo simulation of obstructed diffusion vs . FRAP experiments

Superdiffusion in a model for diffusion in a molecularly crowded environment.

We present a model for diffusion in a molecularly crowded environment. The model consists of random barriers in a percolation network. Random walks in the presence of slowly moving barriers show normal diffusion for long times but anomalous diffusion at intermediate times. The effective exponents for square distance vs time usually are below one at these intermediate times, but they can also be...