Solutions to the inverse problem in a two-dimensional model for microwave breast tumour detection

  • Authors:

  • G. G. Senaratne;Richard B. Keam;Winston L. Sweatman;Graeme C. Wake

  • Affiliations:

  • Institute of Information and Mathematical Sciences, Massey University, Private Bag 102 904, Auckland, New Zealand.;Keam Holdem Associates Ltd., P.O. Box 408, Shortland Street, Auckland, New Zealand.;Massey University, Private Bag 102 904, Auckland, New Zealand.;Massey University, Private Bag 102 904, Auckland, New Zealand

  • Venue:
  • International Journal of Intelligent Systems Technologies and Applications
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper presents an in vivo detection method to estimate the size and the position of a breast tumour using microwave frequencies. At these frequencies there is a significant difference in dielectric properties between a malignant tumour and healthy breast tissue. By considering these properties we solve the forward problem of the signal's scattering effect for a two-dimensional breast model. We use Newton's multidimensional iterative method to solve the inverse problem and compute the unknown location and size of the tumour. Our analytical study suggests that the approach will be capable of detecting a millimetre size tumour inside the breast. Due to the complex scattering from the non-homogeneous internal structure and other complications the microwave measurements can have errors. However, in tests, our algorithm can calculate tumour distance with 0.54% error when there is a 10% error in the value of the microwave field measurements.