A Biomechanical model of spiculated tumours under mammographic compressions

The aim of this paper is to introduce effects well known to clinicians -but neglected to date- in the biomechanical modelling of breast malignant tumours. We develop a model of an isolated stellate breast tumour under mammographic compression forces. We study a range of reported mechanical properties, both linear elastic and hyperelastic. We also introduce different volumes of increased density/stiffness around the tumour. We show that each of these issues has a non-negligible effect on stresses and strains/deformations.