Thermal detection of a prevascular tumor embedded in breast tissue
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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2015-05-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.907 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590150528401408 |
|---|---|
| author | Ephraim Agyingi Tamas Wiandt Sophia A. Maggelakis |
| author_facet | Ephraim Agyingi Tamas Wiandt Sophia A. Maggelakis |
| author_sort | Ephraim Agyingi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ce6d30349e084a1d882297bab2e72aeb |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-ce6d30349e084a1d882297bab2e72aeb2025-01-24T02:33:19ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-05-0112590791510.3934/mbe.2015.12.907Thermal detection of a prevascular tumor embedded in breast tissueEphraim Agyingi0Tamas Wiandt1Sophia A. Maggelakis2School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY 14623-5603School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY 14623-5603Department of Mathematics and Statistics, Rochester Institute of Technology, Rochester, New York 14623This 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.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.907heat transferprevascular tumortemperature distribution. |
| spellingShingle | Ephraim Agyingi Tamas Wiandt Sophia A. Maggelakis Thermal detection of a prevascular tumor embedded in breast tissue Mathematical Biosciences and Engineering heat transfer prevascular tumor temperature distribution. |
| title | Thermal detection of a prevascular tumor embedded in breast tissue |
| title_full | Thermal detection of a prevascular tumor embedded in breast tissue |
| title_fullStr | Thermal detection of a prevascular tumor embedded in breast tissue |
| title_full_unstemmed | Thermal detection of a prevascular tumor embedded in breast tissue |
| title_short | Thermal detection of a prevascular tumor embedded in breast tissue |
| title_sort | thermal detection of a prevascular tumor embedded in breast tissue |
| topic | heat transfer prevascular tumor temperature distribution. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.907 |
| work_keys_str_mv | AT ephraimagyingi thermaldetectionofaprevasculartumorembeddedinbreasttissue AT tamaswiandt thermaldetectionofaprevasculartumorembeddedinbreasttissue AT sophiaamaggelakis thermaldetectionofaprevasculartumorembeddedinbreasttissue |