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

abstract

• 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.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN

author list (cited authors)

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

citation count

• 6

complete list of authors

• Unnikrishnan, VU||Unnikrishnan, GU||Reddy, JN

publication date

• September 2012

publisher

• Springer Nature  Publisher

keywords

• Breast Carcinoma
• Breast Density
• Finite Element Analysis
• Hyperelastic Material
• Mathematical Homogenization

Digital Object Identifier (DOI)

• 10.1007/s10999-012-9190-x

start page

• 257

end page

• 267

volume

• 8

issue

• 3

URL

• http://dx.doi.org/10.1007/s10999-012-9190-x