Fig.2: Concentration field in case 1. Fig.3: Displacement field in case 1. One possible, very simplistic, scenario for tumor modeling and classification could therefore be that benign tumors experience only microscopic diffusion without macroscopic deformation of the solid phase (cells), while malignant tumors are characterized by macroscopic diffusion and deformation of the cells. In particular, if the concentrations increase, the cells will shrink and possibly become stiffer which will agree with recent results (see for example [11]) that claim that cancer tumors are indeed much harder than benign tumors. Finally, a proper analysis of the diffusion processes and scales may capture important information about the moment when a benign tumor transforms into cancer (we plan to investigate this in our future work). 108
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