Thermal detection of a prevascular tumor embedded in breast tissue

Ephraim  Agyingi; Tamas  Wiandt; Sophia A. Maggelakis; Ephraim  Agyingi; Tamas  Wiandt; Sophia A. Maggelakis

doi:10.3934/mbe.2015.12.907

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

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.

Keywords:

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

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Abstract

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This article has been cited by:

1.	Ephraim Agyingi, Tamas Wiandt, Sophia Maggelakis, 2016, Chapter 16, 978-3-319-30377-2, 167, 10.1007/978-3-319-30379-6_16
2.	Itzel A. Avila-Castro, Angel Ramon Hernández-Martínez, Miriam Estevez, Martha Cruz, Rodrigo Esparza, Ramiro Pérez, Angel Luis Rodríguez, Thorax thermographic simulator for breast pathologies, 2017, 15, 16656423, 143, 10.1016/j.jart.2017.01.008
3.	Mamta Agrawal, K. R. Pardasani, 2019, Chapter 28, 978-981-13-1902-0, 241, 10.1007/978-981-13-1903-7_28
4.	Ephraim Agyingi, Tamas Wiandt, Sophia Maggelakis, 2021, Chapter 2, 978-3-030-84595-7, 5, 10.1007/978-3-030-84596-4_2

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