We consider the so-called "diffusion paradox", by which at any time moment in any spacial point there is a non-zero concentration of a substance, when the Fick law is employed for diffusion. Several variants of the problem statement are discussed for pattern development of protein concentration to avoid the paradox. The refined models are based on Cattaneo and Cahn-Hilliard descriptions of the diffusion process. Applications of new approach to gene expression problem in Drosophila embryo are shown.

Page created on May 21, 2007.