We propose a practical empirical fitting function to characterize the non-Gaussian displacement distribution functions (DispD) often observed for heterogeneous diffusion problems. We first test this fitting function with the problem of a colloidal particle diffusing between two walls using...

We develop a flexible Kinetic Monte Carlo algorithm that allows us to simulate drug release from swelling systems such as hydrogels. Our algorithm can be used for a wide range of problems as long as the interactions between the drug particles and the medium can be described by a local effective...

Diffusion is often used as the primary method of molecular transport in drug delivery schemes. We present a systematic investigation of the Weibull and Peppas functions as useful tools in quantifying drug release profiles. The data is obtained from 2D simulated hydrogels and diffusion is modeled...

We introduce a single-cell based simulation model of biofilm growth. Each microbial cell is modelled as an autonomous agent whose behavior is controlled by thermodynamic parameters, mechanical properties, physiological rules and environmental conditions. In the two-dimensional version presented...

We recently demonstrated that standard fixed-time lattice random-walk models cannot be modified to represent properly the biased diffusion processes in more than two dimensions. The origin of this fundamental limitation appears to be the fact that traditional Monte Carlo moves do not allow for...

We propose a new metric to evaluate and rank the relevance of words in a text. The method uses the density fluctuations of a word to compute an index that measures its degree of clustering. Highly significant words tend to form clusters, while common words are essentially uniformly spread in a...