Viscoelastic analysis of malignant breast tumors using fractional derivative model and in vitro test data

Document Type : Research Paper

Authors

Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran

Abstract

Examining the breast mechanical behavior helps with early diagnosis and successful treatment. Identification of tumor malignancy by evaluating its mechanical behavior can significantly facilitate early detection task. In the present study, using a precise viscoelastic model based on time-dependent tissue behavior, the breast mechanical behavior has been investigated to distinguish malignant from benign tumors. For this purpose, benign and malignant samples have been collected, and in vitro ramp-relaxation test has been performed. The Kelvin-Voight fractional derivative model has been fitted to experimental data with an accuracy of 0.97 and the model parameters have been well estimated. For malignant samples, the mean of elasticity, fluidity, and time constant are equal to 70MPa, 0.22, and 180s, respectively. It has been concluded that malignant and benign samples significantly differ in the value of viscoelastic parameters. The findings have been evaluated based on pathology images and results demonstrate a positive correlation between the mechanical characteristics and density of cancer cells. Furthermore, it emphasizes the importance of understanding this correlation in order to enhance the accuracy and effectiveness of breast cancer diagnosis by medical professionals.

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