Models of biological diffusion-reaction systems require accurate classification of the underlying diffusive dynamics (e.g., Fickian, subdiffusive, or superdiffusive). We use a renormalization group operator to identify the anomalous (non-Fickian) diffusion behavior from a short trajectory of a single molecule. The method provides quantitative information about the underlying stochastic process,...

Purpose: To study the effect of compritol ATO888 and kollidon SR blend on the release of chlorpheniramine maleate (CPM) from its matrix tablets prepared by direct compression. Methods: Different ratios of compritol and kollidon SR (containing 50 % matrix component) in 1:1, 1:2, 1:3 and 3:1 ratios were formulated using direct compression. The formulations were organoleptically tested and investi...

For the past few decades, researchers have been intrigued by glassy polymers, which applications ranging from gas separations to corrosion protection drug delivery systems. The techniques employed examine sorption and diffusion of small molecules in polymers are subject this review. Diffusion models regulated Fickian non-Fickian diffusion, with being more prevalent. characteristics determined i...

The asymptotic scaling behavior of the mixing region induced by a random velocity field is determined by applying Corrsin’s hypothesis in both the Eulerian and Lagrangian pictures. Both pictures lead to the same results for the asymptotic scaling exponent of the mixing region. Both longitudinal and transverse diffusion are asymptotically non-Fickian (Fickian) when the correlation function of th...

In this paper initial boundary value problems, defined using quasilinear diffusion equations of Volterra type, are considered. These equations arise for instance to describe diffusion processes in viscoelastic media whose behaviour is represented by a Voigt-Kelvin model or a Maxwell model. We propose a finite difference discretization defined on a general nonuniform grid and we show second conv...