The study of a biological system made of several populations of cells and different constituents is performed. Especially, we refer to the growth of a tumoural mass in the avascular state. A general scheme of the corresponding mathematical problem is obtained and some of the most representative models in literature are discussed. We propose a new approach to the problem, based either on nonlocal interactions among the constituents or on the existence of a chemical potential driving motion of intercellular fluid.
Models of cellular proliferation with different states activity / M.Primicerio; F.Talamucci. - STAMPA. - (2006), pp. 157-171. (Intervento presentato al convegno NEW TRENDS IN MATHEMATICAL PHYSICS In Honour Of The Salvatore Rionero 70th Birthday tenutosi a Napoli nel 24-25 gennaio 2003).
Models of cellular proliferation with different states activity
PRIMICERIO, MARIO;TALAMUCCI, FEDERICO
Methodology
2006
Abstract
The study of a biological system made of several populations of cells and different constituents is performed. Especially, we refer to the growth of a tumoural mass in the avascular state. A general scheme of the corresponding mathematical problem is obtained and some of the most representative models in literature are discussed. We propose a new approach to the problem, based either on nonlocal interactions among the constituents or on the existence of a chemical potential driving motion of intercellular fluid.
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