Project Abstract

Random walk applications to Physical systems

The main purpose of the program is the development of mathematical and computational methods for the study of random walks and the creation of theoretical models as tools of studying various problems from different areas of the physical sciences. The project deals with several applications of the random walk and related formulations, such as:

1. Diffusion in Fractal and amorphous materials.

2. Drug Release for controlled release devices.

3. Random walks in biological systems.

4. Random walks in abstract structures and scale free networks.

5. Random walks, Cellular Automata and Language evolution.

The project started during November of 2002 and will finish during October of 2005. Due to the support of the project, the following publications in peer reviewed journals have appeared:

1. K. Kosmidis, E. Rinaki, P. Argyrakis, P.Macheras, Analysis of Case II drug transport with radial and axial release from cylinders, International Journal of Pharmaceutics, 254, 183 (2003)

2. K. Kosmidis, P. Argyrakis, P.Macheras, A re-appraisal of drag release laws using Monte-Carlo simulations: the prevalence of Weibul function, Pharmaceutical Research, 20, 988 (2003)

3. K. Kosmidis, P. Argyrakis, P.Macheras, Fractal kinetics in drug release from finite fractal matrices, Journal of Chemical Physics, 119, 6373 (2003)

4. K. Kosmidis, V. Karalis, P. Argyrakis, P.Macheras, Michaelis-Menten Kinetics under Spatially Constrained Conditions. Application to Mibefradil Pharmcokinetics, Biophysical Journal, 87, 1498-1506 (2004)

5. A. Dokumetzidis, K. Kosmidis, P. Argyrakis, P. Macheras, Modeling and Monte Carlo Simulations in Oral Drug Absorption, Basic & Clinical Pharmacology & Toxicology 96, 200-205 (2005)

6. K.Kosmidis, J.M.Halley, P.Argyrakis, Language Evolution and Population Dynamics for a system of two interacting species, (to appear in Physica A) and condmat=0502118


(c) Computational Physics Group A.U.Th.