Mathematical Biosciences and Engineering, 2015, 12(5): 907-915. doi: 10.3934/mbe.2015.12.907

Primary: 80A20, 92C05; Secondary: 92C30.

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Thermal detection of a prevascular tumor embedded in breast tissue

1. School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY 14623-5603
2. Department of Mathematics and Statistics, Rochester Institute of Technology, Rochester, New York 14623

This paper presents a mathematical model of heat transfer in a prevascular breast tumor. The model uses the steady state temperature of the breast at the skin surface to determine whether there is an underlying tumor and if so, verifies whether the tumor is growing or dormant. The model is governed by the Pennes equations and we present numerical simulations for versions of the model in two and three dimensions.
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