Date of Award

Fall 2012

Degree Type

Thesis

Degree Name

Bachelor of Science (BS)

Department

Mathematics and Statistics

First Advisor

Timothy E. Doyle

Abstract

Real time measurements may assist surgeons in obtaining negative or cancer free margins during lumpectomy to eliminate invasive re-excision. Previous findings show that high-frequency ultrasound can differentiate between a range of breast pathologies in surgical specimens. Two parameters, peak density and second-order spectral slope, are sensitive to histopathology. Our objective was to determine the mechanism linking high-frequency ultrasound to histology. The hypothesis is that ultrasound sensitivity is a function of the microscopic heterogeneity (and thus histology) of the tissue. Ultrasonic results from breast specimens were used to construct a multivariate analysis of the parameters that permitted differentiation of normal, adipose, benign, and malignant breast pathologies.

Included in

Mathematics Commons

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