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Generalization of the Greenspan MCS model to n-dimensional case

Prelegent(ci)
Urszula Foryś
Afiliacja
Uniwersytet Warszawski
Termin
6 grudnia 2006 16:15
Pokój
p. 5840
Seminarium
Seminarium Zakładu Biomatematyki i Teorii Gier

In tumour dynamics there is a well known model of spherical growth underthe diffusion of nutrient. The basic concept of multicellular spheroid (MCS) in 3-D was proposed by Greenspan. I'll show the formal generalization of this concept in n-dimensional case. I'll focus on the dependence of the model dynamics on the dimension parameter n, especially in comparison of two standard cases - for n=3 and n=2.