A statistical approach to inverting the Born ratio.
We examine the problem of fluorescence molecular tomography using the normalized Born approximation, termed herein the Born ratio, from a statistical perspective. Experimentally verified noise models for received signals at the excitation and emission wavelengths are combined to generate a stochastic model for the Born ratio. This model is then utilized within a maximum likelihood framework to obtain an inverse solution based on a fixed point iteration. Results are presented for three experimental scenarios: phantom data with a homogeneous background, phantoms implanted within a small animal, and in vivo data using an exogenous probe.
Hyde
Damon
D
Electrical and Computer Engineering Department, Northeastern University, Boston, MA 02115, USA. dhyde@ece.neu.edu
Miller
Eric
E
Brooks
Dana H
DH
Ntziachristos
Vasilis
V
D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008325:Mammary Neoplasms, Experimental / Q000473:pathology*; D051379:Mice; D008822:Mice, Transgenic; D008856:Microscopy, Fluorescence; D008954:Models, Biological; D015233:Models, Statistical; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D041622:Tomography, Optical / Q000379:methods*