Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient - Archive ouverte HAL Access content directly
Journal Articles Mathematical Models and Methods in Applied Sciences Year : 2014

Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient

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.
Fichier principal
Vignette du fichier
TW_Heleshaw_Jan_14.pdf (836.62 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00931399 , version 1 (15-01-2014)

Identifiers

Cite

Benoît Perthame, Min Tang, Nicolas Vauchelet. Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Mathematical Models and Methods in Applied Sciences, 2014, 24 (13), pp.2601-2626. ⟨hal-00931399⟩
903 View
1271 Download

Altmetric

Share

Gmail Facebook X LinkedIn More