Anomalous diffusion, tumor growth and random walk models
Wednesday, May 21, 2008 - 11:15am - 12:15pm
The theory of anomalous diffusion is well-established and leads to the integral equations or the alternative fractional diffusion equations for number densities. Despite the progress in understanding the anomalous transport most work has been concentrated on the passive density of the particles, and comparatively little is known about the interaction of non- standard transport with reactions. This work is intended to address this issue by utilising the random walk techniques in order to model the anomalous diffusion with reactions. Example is the tumor's cells migration and proliferation (Phys. Rev. Lett. 98, 118101 (2007)).