PhotonIcs and Electromagnetics Research Symposium,
also known as Progress In Electromagnetics Research Symposium
PIERS Proceedings
Published: 2015-07-09
Conductivity Estimation of Breast Cancer Using Stochastic Optimization
By
Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9,Page(s)185-190
Abstract
Breast cancer detection is one of the most important problems in health care as it is second most frequent cancer according to WHO. Breast cancer is among cancers which are most probably curable, only if it is diagnosed at early stages. To this purpose it has been recently proposed that microwave imaging could be used as a cheaper and safer alternative to the commonly used combination of mammography. From a physical standpoint breast cancer can be modelled as a scatterer with a significantly (tenfold) larger conductivity than a healthy tissue. In our previous work we proposed a maximum likelihood based method for detection of cancer which estimates the unknown parameters by minimizing the residual error vector assuming that the error can be modelled as a multivariate (multiple antennas) random variable. In this paper we utilize stochastic optimization technique and evaluate its applicability to the detection of cancer using numerical models. Although these models have significant limitations they are potentially useful as they provide insight in required levels of noise in order to achieve desirable detection rates.
Citation
Aleksandar Jeremic, and Elham Khosrowshahli, "Conductivity Estimation of Breast Cancer Using Stochastic Optimization," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9,Page(s)185-190
References

1. http://www.breastcancer.org/symptoms/understand_bc/statistics.

2. Gemignani, M. L., "Breast cancer screening: Why and when and how many?," Clinical Obstetrics and Gynecology, Vol. 54, No. 1, 125-132, 2011.        Google Scholar

3. Tice, Jeffrey A. and Karla Kerlikowske, "Screening and prevention of breast cancer in primary care," Primary Care: Clinics in Office Practice, Vol. 36, No. 3, 533–558, September 2009.
doi:10.1016/j.pop.2009.04.003        Google Scholar

4. Fear, E.C., S.C. Hagness, P.M. Meaney, M. Okoniewski, and M.A. Stuchly, "Enhancing breast tumor detection with near-field imaging," IEEE Microwave Magazine, Vol. 3, No. 1, 48–56, March 2002.
doi:10.1109/6668.990683        Google Scholar

5. Cheng, D. K., Field and Wave Electromagnetics, Addison-Wesley Publishing Company, 1983.        Google Scholar

6. Semenov, S. Y., A. E. Bulyshev, A. Abubakar, V. G. Posukh, Y. E. Sizov, A. E. Souvorov, P. M. van den Berg, and T. C. Williams, "Microwave-tomographic imaging of the high dielectric-contrast objects using different image-reconstruction approaches," IEEE Transactions on Microwave Theory and Techniques, Vol. 53, No. 7, 2284–2294, July 2005.
doi:10.1109/tmtt.2005.850459        Google Scholar

7. Pastorino, Matteo, "Stochastic optimization methods applied to microwave imaging: A review," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 3, 538–548, March 2007.
doi:10.1109/tap.2007.891568        Google Scholar

8. Haber, Eldad, Matthias Chung, and Felix Herrmann, "An effective method for parameter estimation with PDE constraints with multiple right-hand sides," Society for Industrial & Applied Mathematics (SIAM), Vol. 22, No. 3, 739–757, January 2012.
doi:10.1137/11081126x        Google Scholar

9. Potthoff, Richard F. and S. N. Roy, "A generalized multivariate analysis of variance model useful especially for growth curve problems," Biometrika, Vol. 51, No. 3/4, 313, December 1964.
doi:10.2307/2334137        Google Scholar