Gregory Boverman et al 2007 Phys. Med. Biol. 52 3619 doi:10.1088/0031-9155/52/12/018
Gregory Boverman1, Qianqian Fang2, Stefan A Carp2, Eric L Miller3, Dana H Brooks4, Juliette Selb2, Richard H Moore5, Daniel B Kopans5 and David A Boas2
Show affiliationsWe develop algorithms for imaging the time-varying optical absorption within the breast given diffuse optical tomographic data collected over a time span that is long compared to the dynamics of the medium. Multispectral measurements allow for the determination of the time-varying total hemoglobin concentration and of oxygen saturation. To facilitate the image reconstruction, we decompose the hemodynamics in time into a linear combination of spatio-temporal basis functions, the coefficients of which are estimated using all of the data simultaneously, making use of a Newton-based nonlinear optimization algorithm. The solution of the extremely large least-squares problem which arises in computing the Newton update is obtained iteratively using the LSQR algorithm. A Laplacian spatial regularization operator is applied, and, in addition, we make use of temporal regularization which tends to encourage similarity between the images of the spatio-temporal coefficients. Results are shown for an extensive simulation, in which we are able to image and quantify localized changes in both total hemoglobin concentration and oxygen saturation. Finally, a breast compression study has been performed for a normal breast cancer screening subject, using an instrument which allows for highly accurate co-registration of multispectral diffuse optical measurements with an x-ray tomosynthesis image of the breast. We are able to quantify the global return of blood to the breast following compression, and, in addition, localized changes are observed which correspond to the glandular region of the breast.
Issue 12 (21 June 2007)
Received 15 September 2006, in final form 2 April 2007
Published 23 May 2007
Gregory Boverman et al 2007 Phys. Med. Biol. 52 3619
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