Non−linear modelling of breast tissue
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...
| Main Authors: | , , , |
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| Format: | Journal article |
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2007
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| _version_ | 1797076368319578112 |
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| author | Whiteley, J Gavaghan, D Chapman, S Brady, J |
| author_facet | Whiteley, J Gavaghan, D Chapman, S Brady, J |
| author_sort | Whiteley, J |
| collection | OXFORD |
| description | 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 |
| first_indexed | 2024-03-07T00:02:58Z |
| format | Journal article |
| id | oxford-uuid:769c31ea-17b3-4cf6-8290-6e86b015571a |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:02:58Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:769c31ea-17b3-4cf6-8290-6e86b015571a2022-03-26T20:17:17ZNon−linear modelling of breast tissueJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:769c31ea-17b3-4cf6-8290-6e86b015571aDepartment of Computer Science2007Whiteley, JGavaghan, DChapman, SBrady, JPrevious 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 |
| spellingShingle | Whiteley, J Gavaghan, D Chapman, S Brady, J Non−linear modelling of breast tissue |
| title | Non−linear modelling of breast tissue |
| title_full | Non−linear modelling of breast tissue |
| title_fullStr | Non−linear modelling of breast tissue |
| title_full_unstemmed | Non−linear modelling of breast tissue |
| title_short | Non−linear modelling of breast tissue |
| title_sort | non linear modelling of breast tissue |
| work_keys_str_mv | AT whiteleyj nonlinearmodellingofbreasttissue AT gavaghand nonlinearmodellingofbreasttissue AT chapmans nonlinearmodellingofbreasttissue AT bradyj nonlinearmodellingofbreasttissue |