Fractal kinetics in drug release from finite fractal matrices

  title={Fractal kinetics in drug release from finite fractal matrices},
  author={Kosmas Kosmidis and Panos Argyrakis and Panos Macheras},
  journal={Journal of Chemical Physics},
We have re-examined the random release of particles from fractal polymer matrices using Monte Carlo simulations, a problem originally studied by Bunde et al. [J. Chem. Phys. 83, 5909 (1985)]. A certain population of particles diffuses on a fractal structure, and as particles reach the boundaries of the structure they are removed from the system. We find that the number of particles that escape from the matrix as a function of time can be approximated by a Weibull (stretched exponential… 

Figures from this paper

Drug Release Kinetics from Polymer Matrix through Fractal Approximation of Motion

The present paper analyzes the process of drug release from polymer matrix. This process has been considered as fractal polymer process. Since complexity of physical processes is replaced by

Monte carlo simulation of diffusion-limited drug release from finite fractal matrices

Six types of Menger sponges are employed as models of drug delivery devices with the aim of studying the consequences of matrix structural properties (characterized by df and dw) on drug release performance, and it is shown that, in all cases, drug release from MengerSponges follows an anomalous behavior.

Dynamics of the fraction of drug particles near the release boundary

It is found that the fraction of drug molecules near to an exit, as a function of time, follows an inverse power-law in a substantial part of the release problem, justifying an approximate description of therelease kinetics through a stretched exponential function.

Effect of the Drug–Excipient Ratio in Matrix-Type-Controlled Release Systems: Computer Simulation Study

A new statistical method to evaluate the drug percolation threshold as a function of the exposed surface area of the device was proposed and estimated percolations thresholds were in agreement with the predicted values stated in thepercolation theory.



On controlled diffusion‐limited drug release from a leaky matrix

How fast can drug molecules randomly escape from a polymer matrix? This important question is of both scientific and practical importance, as increasing emphasis is placed on design considerations

A Reappraisal of Drug Release Laws Using Monte Carlo Simulations: The Prevalence of the Weibull Function

It was found that Fickian drug release from cylindrical matrices can be approximated nicely with the Weibull function, and this model has the benefit of providing a simple physical connection between the model parameters and the system geometry, which was something missing from other semiempirical models.

Matrix type controlled release systems: I. Effect of percolation on drug dissolution kinetics.

Matrix type controlled release tablets were prepared by compression of binary mixtures of a soluble brittle model drug (caffeine) and a plastic matrix substance (ethyl cellulose). The drug content of

Fractal Reaction Kinetics

Recently discovered theories of heterogeneous reaction kinetics have dramatic consequences, such as fractal orders for elementary reactions, self-ordering and self-unmixing of reactants, and rate coefficients with temporal "memories".

On the Heterogeneity of Drug Dissolution and Release

release. We re-interpreted, in terms of the heterogeneity of the reaction and/or diffusion space topology, the conventional Eq. 3 has a classical exponential form concaving downwards parameters of