Multifrequency trans-admittance scanner: Mathematical framework and feasibility

Sungwhan Kim, Jeehyun Lee, Jin Keun Seo, Eung Je Woo, Habib Zribp

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A trans-admittance scanner (TAS) is a device for breast cancer diagnosis based on numerous experimental findings that complex conductivities of breast tumors significantly differ from those of surrounding normal tissues. In TAS, we apply a sinusoidal voltage between a handheld electrode and a scanning probe placed on the breast skin to make current travel through the breast. The scanning probe has an array of electrodes at zero voltage. We measure exit currents (Neumann data) through the electrodes that provide a map of trans-admittance data over the breast surface. The inverse problem of TAS is to detect a suspicious abnormality underneath the breast skin from the measured Neumann data. Previous anomaly detection methods used the difference between the measured Neumann data and a reference Neumann data obtained beforehand in the absence of anomaly. However, in practice, the reference data is not available and its computation is not possible since the inhomogeneous complex conductivity of the normal breast is unknown. To deal with this problem, we propose a frequency-difference TAS (fdTAS), in which a weighted frequency difference of the trans-admittance data measured at a certain moment is used for anomaly detection. This paper provides a mathematical framework and the feasibility of fdTAS by showing the relationship between the anomaly information and the weighted frequency difference of the Neumann data.

Original languageEnglish
Pages (from-to)22-36
Number of pages15
JournalSIAM Journal on Applied Mathematics
Volume69
Issue number1
DOIs
Publication statusPublished - 2008 Nov 6

Fingerprint

Scanner
Electrodes
Skin
Scanning
Electric potential
Electrode
Inverse problems
Tumors
Anomaly Detection
Tissue
Conductivity
Anomaly
Probe
Voltage
Framework
Breast Cancer
Tumor
Inverse Problem
Moment
Unknown

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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title = "Multifrequency trans-admittance scanner: Mathematical framework and feasibility",
abstract = "A trans-admittance scanner (TAS) is a device for breast cancer diagnosis based on numerous experimental findings that complex conductivities of breast tumors significantly differ from those of surrounding normal tissues. In TAS, we apply a sinusoidal voltage between a handheld electrode and a scanning probe placed on the breast skin to make current travel through the breast. The scanning probe has an array of electrodes at zero voltage. We measure exit currents (Neumann data) through the electrodes that provide a map of trans-admittance data over the breast surface. The inverse problem of TAS is to detect a suspicious abnormality underneath the breast skin from the measured Neumann data. Previous anomaly detection methods used the difference between the measured Neumann data and a reference Neumann data obtained beforehand in the absence of anomaly. However, in practice, the reference data is not available and its computation is not possible since the inhomogeneous complex conductivity of the normal breast is unknown. To deal with this problem, we propose a frequency-difference TAS (fdTAS), in which a weighted frequency difference of the trans-admittance data measured at a certain moment is used for anomaly detection. This paper provides a mathematical framework and the feasibility of fdTAS by showing the relationship between the anomaly information and the weighted frequency difference of the Neumann data.",
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Multifrequency trans-admittance scanner : Mathematical framework and feasibility. / Kim, Sungwhan; Lee, Jeehyun; Seo, Jin Keun; Woo, Eung Je; Zribp, Habib.

In: SIAM Journal on Applied Mathematics, Vol. 69, No. 1, 06.11.2008, p. 22-36.

Research output: Contribution to journalArticle

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