Thermal detection of a prevascular tumor embedded in breast tissue

Ephraim  Agyingi; Tamas  Wiandt; Sophia A. Maggelakis

doi:10.3934/mbe.2015.12.907

Article Contents

2015, Volume 12, Issue 5: 907-915. Doi: 10.3934/mbe.2015.12.907

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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

Received: January 2015

Revised: April 2015

Published: May 2015

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Abstract

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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Mathematics Subject Classification: Primary: 80A20, 92C05; Secondary: 92C30.

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