Publications of Alessandro Bertuzzi

This page shows all publications that appeared in the IASI annual research reports. Authors currently affiliated with the Institute are always listed with the full name.

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Show all publications of the year  2012, with author Bertuzzi A., in the category IASI Research Reports (or show them all):


IASI Research Report n. 12-09    

Bertuzzi A., Fasano A., Gandolfi A., Carmela Sinisgalli

Modelling the evolution of a tumoural multicellular spheroid as a two-fluid Bingham-like system

ABSTRACT
In this paper we propose a model for the evolution of a tumour spheroid assuming a structure in which the central necrotic region contains an inner liquid core surrounded by dead cells that keep some mechanical integrity. This partition is a consequence of assuming that a finite delay is required for the degradation of dead cells into liquid. The phenomenological assumption of constant local volume fraction of cells is also made. The above structure is coupled with a mechanical two-phase model that views the cell component as a Bingham-like fluid and the extracellular liquid as an inviscid fluid. By imposing the continuity of the normal stress throughout the whole spheroid, we can describe the spheroid evolution and characterize the possible steady state. Depending on the values of mechanical parameters, the model predicts either an evolution toward the steady state or an unbounded growth. An existence and uniqueness result has been proved under suitable assumptions, along with some qualitative properties of the solution.
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