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Mathematical Biosciences and Engineering

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
  • Published: 01 June 2015

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

  • 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.

    Citation: Ephraim Agyingi, Tamas Wiandt, Sophia A. Maggelakis. Thermal detection of a prevascular tumor embedded in breast tissue[J]. Mathematical Biosciences and Engineering, 2015, 12(5): 907-915. doi: 10.3934/mbe.2015.12.907

    Related Papers:

  • 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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  • © 2015 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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  • 1. 

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