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Hyperelastic Elastography for Breast Cancer Assessment. By Ryan Armstrong Under Guidance of Hosein Amooshahi In Dr. Samani’s Lab. Outline. Breast Cancer Overview Breast Anatomy Current Diagnostic Techniques Elastography Concept of Elastography Linear Elastography
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Hyperelastic Elastography for Breast Cancer Assessment By Ryan Armstrong Under Guidance of Hosein Amooshahi In Dr. Samani’s Lab
Outline Breast Cancer Overview Breast Anatomy Current Diagnostic Techniques Elastography Concept of Elastography Linear Elastography Non-Linear (Hyperelastic) Elastography Biological Stress-Strain Curve Elastography as Inverse Problem Current Lab Work Numerical Phantom Numerical Phantom Algorithm Tissue Mimicking Phantom Summary
Breast Cancer Overview • Second most prevalent cancer worldwide 3 • Fifth most common cause of cancer related death 4 • Early diagnosis is a huge factor in survival
Anatomy of Breast Figure 1: Taken from Mehrabian, 2008. 1
Current Diagnostic Techniques • Self Examination (Manual Palpation) • Mammography • Magnetic Resonance Imaging • Ultrasound • Biopsy
Elastography Overview • Images taken pre and post-compression • Stress-strain relationships in tissues are analyzed • Reconstruction technique used to determine elastic parameters of tissues • Tumours in breast tend to be abnormally stiff compared to surrounding tissue
Linear Elastography • For each tissue type, only a single elastic parameter • Young’s Modulus: E = σ/ε • Only valid for low strains • Significant errors associated with technique
Hyperelastic Elastography • Generally more than one hyperelastic parameter per tissue • Defined by strain energy functions • Valid for large strain values • Calculations more complicated
Biological Stress-Strain Curve Figure 2: Taken from http://www.smpp.northwestern.edu/. . . 2
Elastography as Inverse Problem • Reconstructing hyperelastic parameters from data is an inverse problem • Involves initial estimates and numerous iterations
Numerical Phantom • Computerized proof of concept • Boundary conditions and geometry defined consistent with real breast anatomy • Finite Element calculations performed in ABAQUS to generate displacement data • Iterative inversion algorithm runs to convergence leading to hyperelastic parameter reconstruction
Numerical Phantom (3D) After deformation Before deformation
Hyperelastic Parameters Reconstruction Algorithm Main pre-image Main post-image Latest artificial deformed image Initial HEPs Calculate displacement field using OF Updated HEPs Calculate Stress tensor using ABAQUS Calculate Deformation Gradient No Averaging & updating HE parameters (1 to 3) Converge Yes End Figure 3: Taken from Amooshahi 5
Tissue Mimicking Phantom • Construction of phantom with PVA, Biocide, and heat-cool cycles • Unaxial test for parameter measurement • Pre and Post Compression US images are taken • Hyperelastic parameters reconstructed
Summary • Breast cancer has high prevalence and mortality rate • Early detection is vital for treatment and ultimately survival • Elastography shows great potential as a diagnostic tool with high specificity • Hyperelastic models allow us to reconstruct parameters for high strain
References • H Mehrabian. Soft Tissue Hyperelastic Parameter Reconstruction. Masters thesis submitted to the University of Western Ontario. Supervisor: Abbas Samani. (2008) • Mechanical Properties of Soft Tissue. In Sitting Biomechanics Laboratory. Retrieved May 30th, 2010 from:http://www.smpp.northwestern.edu/Makhsous/Mechanical%20Properties%20of%20Soft%2 0Tissue.shtml • World Health Organization International Agency for Research on Cancer (2008). • "World Cancer Report". Retrieved on May 30th, 2010. • 4. World Health Organization (February 2006). "Fact sheet No. 297: Cancer". Retrieved • on May 30th, 2010. • 5. M Amooshahi. (Nov. 17, 2009) Classification of Breast Tumours Using Hyperelastic Elastography PowerPoint presentation presented at the University of Western Ontario.