Traveling wave solution of the Hele-Shaw model of tumor growth with nutrientReport as inadecuate




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1 LJLL - Laboratoire Jacques-Louis Lions 2 MAMBA - Modelling and Analysis for Medical and Biological Applications LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt 3 Department of mathematics Shanghai

Abstract : Several mathematical models of tumor growth are now commonly used to explain medical observations and predict cancer evolution based on images. These models incorporate mechanical laws for tissue compression combined with rules for nutrients availability which can differ depending on the situation under consideration, in vivo or in vitro. Numerical solutions exhibit, as expected from medical observations, a proliferative rim and a necrotic core. However, their precise profiles are rather complex, both in one and two dimensions.

Keywords : necrotic core Tumor growth traveling waves Hele-Shaw asymptotic





Author: Benoît Perthame - Min Tang - Nicolas Vauchelet -

Source: https://hal.archives-ouvertes.fr/



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