title: Application of Eshelby's Solution to Elastography for Diagnosis of Breast Cancer.
abstract: Eshelby's solution is the analytical method that can derive the elastic field within and around an ellipsoidal inclusion embedded in a matrix. Since breast tumor can be regarded as an elastic inclusion with different elastic properties from those of surrounding matrix when the deformation is small, we applied Eshelby's solution to predict the stress and strain fields in the breast containing a suspicious lesion. The results were used to investigate the effectiveness of strain ratio (SR) from elastography in representing modulus ratio (MR) that may be the meaningful indicator of the malignancy of the lesion. This study showed that SR significantly underestimates MR and is varied with the shape and the modulus of the lesion. Based on the results from Eshelby's solution and finite element analysis (FEA), we proposed a surface regression model as a polynomial function that can predict the MR of the lesion to the matrix. The model has been applied to gelatin-based phantoms and clinical ultrasound images of human breasts containing different types of lesions. The results suggest the potential of the proposed method to improve the diagnostic performance of breast cancer using elastography.
authors.affiliation: Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Ontario, Canada.
authors.forename: Bonghun
authors.initials: B
authors.lastname: Shin
authors.affiliation: Radiation Oncology, Grand River Regional Cancer Centre, Kitchener, Ontario, Canada.
authors.forename: Darindra
authors.initials: D
authors.lastname: Gopaul
authors.affiliation: Radiology, Grand River Hospital, Kitchener, Ontario, Canada.
authors.forename: Samantha
authors.initials: S
authors.lastname: Fienberg
authors.affiliation: Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Ontario, Canada hjkwon@uwaterloo.ca.
authors.forename: Hyock Ju
authors.initials: HJ
authors.lastname: Kwon
mesh_terms: D000465:Algorithms; D001940:Breast / Q000000981:diagnostic imaging; D001943:Breast Neoplasms / Q000000981:diagnostic imaging*; D055119:Elastic Modulus; D054459:Elasticity Imaging Techniques / Q000379:methods*; D005260:Female; D020342:Finite Element Analysis; D006801:Humans; D008954:Models, Biological; D019047:Phantoms, Imaging; D015203:Reproducibility of Results
keywords: Eshelby’s solution; breast cancer; elastography; mechanical properties; modulus ratio; strain ratio