Mathematical Analysis, Controllability and Numerical Simulation of a Simple Model of Avascular Tumor Growth

作者: Jesús Ildefonso Dı́az , José Ignacio Tello

DOI: 10.1016/S1570-8659(03)12003-0

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摘要: Publisher Summary This chapter presents the study of mathematical analysis, controllability and a numerical simulation for simple, avascular model growth tumor. It describes biological phenomenology several processes, which influence development tumors. The modelling is presented by describing different models partial differential equations (PDE). proofs solvability discusses uniqueness solutions under additional conditions. tumor localized internal action inhibitor on nonnecrotic obvious that this type results has merely interest it does not suggest any special therapeutical strategy to inhibit growth. Nevertheless show there obstruction (as appears, instance, in some similar PDE's models). addresses problem.

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