Generalization of the Greenspan MCS model to n-dimensional case

Speaker(s)

Urszula Foryś

Affiliation

Uniwersytet Warszawski

Date

Dec. 6, 2006, 4:15 p.m.

Room

room 5840

Seminar

Seminar of Biomathematics and Game Theory Group

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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.

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