Publications of Antonio Fasano

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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IASI Research Report n. 600  (Previous    Next)  

Alessandro Bertuzzi, Fasano A., Gandolfi A.

A free boundary problem with unilateral constraints describing the evolution of a tumour cord under the influence of cell killing agents

ABSTRACT
A system of tumour cords is schematized by an array of identical cords each one having approximately a rotational symmetry around its central blood vessel. A mathematical model for the evolution of the cord is presented taking into account the following facts: the influence of a limiting nutrient on the proliferation rate and death rate of the cells, the volume reduction rate of the necrotic material due to fluid loss from the cord, the influence of chemotherapy or radiation treatment. Both the steady state and the evolution problem are considered, showing existence and uniqueness of the solution. A peculiar feature of the evolution model is that the boundary conditions for the nutrient concentration on the interface between viable cord and necrotic region may change during the response to treatment, according to the fact that new cells enter the necrotic region or not. Key words: Tumour growth, cancer treatment, free boundary problems for PDE's.
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