University of Arkansas, Fayetteville
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Abstract

Ductal Carcinoma represents almost 75% of breast cancer. In this specific type of cancer. malignant cells in the breast ducts invade the surrounding healthy tissue. Almost all researchers who are investigating microwave modality in the area of breast cancer detection employ oversimplified models of the internal structure of the breast. Use of engineered or biologically inaccurate models can render inaccurate results. Therefore. a mathematical biological model was implemented in this work aiming to bridge the gap between physiologists and engineers. The result show that the proposed breast duct model has the capability of modeling the breast ducts of different kinds of women. The simulated breast duct of older women have smaller breast ducts, leading to less dense breasts, which is in agreement with medica/knowledge. Also, younger women have larger breast ducts leading to more dense breasts, which are consistent with the obtained results. The model was implemented computationally using the computer language C++ in both two and three dimensions. The potential impact of the research is to provide researchers with a greater understanding of the breast ducts as cancer treatment models evolve.

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