Non−linear modelling of breast tissue
JP Whiteley‚ DJ Gavaghan‚ SJ Chapman and JM Brady
Abstract
Previous approaches to modelling the large deformation of breast tissue, as occurs, e.g. in imaging using magnetic resonance imaging or mammography, include using linear elasticity and pseudo-non-linear elasticity, in which case the non-linear deformation is approximated by a series of small linear isotropic deformations, with the (constant) Young's modulus of each linear deformation an exponential function of the total non-linear strain. In this paper, these two approaches are compared to the solution of the full non-linear elastic problem for tissue with an exponential relationship between stress and stra
Details
| Journal |
MATHEMATICAL MEDICINE AND BIOLOGY−A JOURNAL OF THE IMA |
| Keywords |
mr−images |
| Month |
Sep |
| Number |
3 |
| Pages |
327–345 |
| Volume |
24 |
| Year |
2007 |
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