Tissue stresses caused by invasive tumour: a biomechanical model.

Malignant tumorigenesis is a complex process involving growth, invasion and mechanical deformation of a cancerous tissue. In this paper, a biomechanical model is proposed to couple the mechanical and biological mechanisms governing invasive tumour development. As an example, this model is applied to investigate the spatio-temporal evolution of tissue stresses in an invasive tumour spheroid and its host tissue. I show that cancer invasiveness lowers the compressive tissue stresses and blurs the stress distribution across the cancerous-normal tissue boundary, both consistent with experimental observations. Importantly, with the steady propagation of the cancerous region driven by persistent cancer invasion, tumour stresses are predicted to saturate rather than keep increasing as in benign tumour growth. The model is further used to analyse the deformation and stress state of a cancerous tissue being cut into two pieces, and reproduces the bulge of the cut surface observed in experiments. I hope this study can pave the way for the quantitative evaluation of mechanical states in cancer.