On ellipsoidal tumours

Almost every tumour model, that has been investigated so far, refers to the highly symmetric case of the spherical geometry, where the curvature is a global invariant over its surface. Hence, no information about the effects of the local curvature upon the shape of the outer boundary of the proliferating region was available. Here, we examine the case of a triaxial ellipsoidal tumour where the mean curvature is a local function of orientation, for a simple growth model, and we show how the ellipsoidal geometry adapts these boundary variations in a natural way.