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

DOI10.1007/BF00160422zbMath0777.92007OpenAlexW2055043498WikidataQ52406514 ScholiaQ52406514MaRDI QIDQ688474

Richard D. Noren, John A. Adam

Publication date: 21 November 1993

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00160422

zbMATH Keywords

existenceVolterra equationsolution uniquenesscentral necrotic coreconstant solutioncritical tumor dimensiondeposition ratenonlinear time- independent diffusion equationnutrient consumption ratespherically symmetric vascularized carcinomauniform equilibrium state

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Medical applications (general) (92C50) Qualitative theory for ordinary differential equations (34C99) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

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• Mathematical models of tumor growth. IV: Effects of a necrotic core
• Bifurcation of periodic solutions of the Navier-Stokes equations
• Models for the Growth of a Solid Tumor by Diffusion

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