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

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