Open AccessThermal detection of a prevascular tumor embedded in breast tissue
Author(s) -
Ephraim Agyingi,
Tamas Wiandt,
Sophia Maggelakis
Publication year - 2015
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2015.12.907
Subject(s) - breast tumor , steady state (chemistry) , heat transfer , breast tissue , computer science , biological system , biology , mechanics , chemistry , physics , breast cancer , genetics , cancer
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.