Modeling of macromolecular diffusion in congested media

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

Modeling Congested Internet Connections

In this paper, we introduce a continuous-time model aimed at capturing the dynamics of congested Internet connections. The model combines a system of differential equations with a sudden change in one of the state variables. Results from this model show good agreement with the well-known ns network simulator, better than the results of a previous, similar model. This is due in large part to the...

Numerical modeling of diffusion within composite media

Within biological systems, which contain complex and composite media, diffusion may depend not only on internal geometry, but also on the chemical interactions between solid phase and transported particles. New hierarchical multiscale microstructural model for diffusion within complex media is presented. Hierarchical modeling approach is then employed to construct a continuum diffusion model ba...

Modeling Diffusion of Competing Products and Conventions in Social Media

The emergence and wide-spread use of online social networks has led to a dramatic increase on the availability of social activity data. Importantly, this data can be exploited to investigate, at a microscopic level, some of the problems that have captured the attention of economists, marketers and sociologists for decades, such as, e.g., product adoption, usage and competition. In this paper, w...

Mathematical Modeling of Anomalous Diffusion in Porous Media

Analysis of diffusion in a complex environment shows that the conventional diffusion equation based on Fick’s law fails to model the anomalous character of the diffusive mass transport observed in the field and laboratory experiments. New mathematical models of diffusive transport, different from Fick’s law, were proposed and validated in literature. In the present paper the examples of the equ...