Simultaneous estimation of size, radial and angular locations of a malignant tumor in a 3-D human breast - A numerical study.
This article reports a numerical study pertaining to simultaneous estimation of size, radial location and angular location of a malignant tumor in a 3-D human breast. The breast skin surface temperature profile is specific to a tumor of specific size and location. The temperature profiles are always the Gaussian one, though their peak magnitudes and areas differ according to the size and location of the tumor. The temperature profiles are obtained by solving the Pennes bioheat equation using the finite element method based solver COMSOL 4.3a. With temperature profiles known, simultaneous estimation of size, radial location and angular location of the tumor is done using the curve fitting method. Effect of measurement errors is also included in the study. Estimations are accurate, and since in the inverse analysis, the curve fitting method does not require solution of the governing bioheat equation, the estimation is very fast.
Department of Mechanical Engineering Indian Institute of Technology Guwahati, Guwahati 781039, India.
Koushik
K
Das
Department of Mechanical Engineering Indian Institute of Technology Guwahati, Guwahati 781039, India. Electronic address: scm_iitg@yahoo.com.
Subhash C
SC
Mishra
D000465:Algorithms; D001831:Body Temperature; D001940:Breast / Q000473:pathology*; D001943:Breast Neoplasms / Q000175:diagnosis* / Q000473:pathology*; D005260:Female; D020342:Finite Element Analysis; D006801:Humans; D021621:Imaging, Three-Dimensional / Q000379:methods*; D016011:Normal Distribution; D015203:Reproducibility of Results; D012881:Skin Temperature / Q000502:physiology
Bioheat transfer; Curve fitting method; Finite element method; Inverse analysis; Non-invasive detection