Thermal detection of a prevascular tumor embedded in breast tissue

  • Received: 01 January 2015 Accepted: 29 June 2018 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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    [1] Mathematical and Computer Modelling: An International Journal, 53 (2011), 1527-1534.
    [2] The American Journal of Surgery, 196 (2008), 523-526.
    [3] The Journal of Physiology, 530 (2001), 565-574.
    [4] Madame Curie Bioscience Database . Austin (TX): Landes Bioscience, 2000.
    [5] New England Journal of Medicine, 328 (1993), 1237-1243.
    [6] Breast Cancer Management, 2 (2013), 163-172.
    [7] FL:CRC/Taylor & Francis; 2006.
    [8] in Bioengineering Heat Transfer(ed. Y. I. Cho), Academic Press, (1992), 19-151.
    [9] Computers in Biology and Medicine, 34 (2004), 495-521.
    [10] New England Journal of Medicine, 285 (1971), 1182-1186.
    [11] Nature, 427 (2004), p787.
    [12] Revista Mexicana de Fisica, 53 (2007), 323-326.
    [13] QIRT Journal, 8 (2011), 139-148.
    [14] Studies in Applied Mathematics, LI (1972), 317-340.
    [15] Journal of the Royal Society Interface, 11 (2013), p1124.
    [16] Canadian Medical Association Journal, 75 (1956), 309-310.
    [17] Canadian Medical Association Journal, 88 (1963), 68-70.
    [18] Journal of Medical Engineering & Technology, 33 (2009), 274-280.
    [19] Applied Mathematics Letters, 8 (1995), 7-10.
    [20] Journal of Biomechanical Engineering, 129 (2006), 33-39.
    [21] Biophysical Journal, 46 (1984), 343-348.
    [22] Engineering Applications of Artificial Intelligence, 20 (2007), 647-655.
    [23] J. Appl. Physiol, 1 (1948), 93-122.
    [24] Computer Methods in Biomechanics and Biomedical Engineering, 2 (1999), 187-199.
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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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