✦ LIBER ✦

Equilibrium model of a vascularized spherical carcinoma with central necrosis — Some properties of the solution

✍ Scribed by John A. Adam; Richard D. Noren

Publisher: Springer
Year: 1993
Tongue: English
Weight: 598 KB
Volume: 31
Category: Article
ISSN: 0303-6812
DOI: 10.1007/bf00160422

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✦ Synopsis

Properties of the solutions of a nonlinear time-independent diffusion equation are studied. The equation arises in a model of a spherically symmetric vascularized carcinoma with a central necrotic core. The boundary value problem as posed possesses a constant solution when the nutrient consumption rate and deposition rate (from the vascular network) are equal. This solution can lose uniqueness at a critical tumor dimension which corresponds to the onset of instability with respect to deviations from that uniform equilibrium state.