Biomechanics of breast tumor: effect of collagen and tissue density Academic Article uri icon


  • Various clinical studies have established the influence of breast tissue density on the onset and formation of breast tumor. In this paper we develop a mathematical correlation of the change in density with the change in collagen content and the corresponding change in the bio-mechanical characteristics of the breast tissue. The developed computational model is used in understanding the mechanical response of the breast tissue using multiscale mathematical homogenization techniques. The mathematical modeling is carried out using hyperelastic material formulations for the macro-scale finite element simulations and small strain material models for the lower order homogenization. © 2012 Springer Science+Business Media, B.V.

author list (cited authors)

  • Unnikrishnan, V. U., Unnikrishnan, G. U., & Reddy, J. N.

citation count

  • 6

publication date

  • September 2012