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math.AP2014
Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient
Benoît Perthame, Min Tang, Nicolas Vauchelet
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…
math.AP2014★ 1 cited
Derivation of a Hele-Shaw type system from a cell model with active motion
Benoît Perthame, Fernando Quirós, Min Tang +1
We formulate a Hele-Shaw type free boundary problem for a tumor growing under the combined effects of pressure forces, cell multiplication and active motion, the latter being the n…