PDE-constrained multispectral imaging of tissue chromophores with the equation of radiative transfer

• DOI: 10.1364/boe.1.000812
• Publication Date: 2010-09-21T13:18:46Z
• Authors: Hyun Keol Kim; Molly Flexman; Darrell J. Yamashiro; Jessica J. Kandel; Andreas H. Hielscher
• Keywords: Hessian matrix; Chromophore

We introduce a transport-theory-based PDE-constrained multispectral model for direct imaging of the spatial distributions chromophores concentrations in biological tissue. The method solves forward problem (boundary radiance at each wavelength) and inverse (spatial distribution concentrations), an all-at-once manner framework reduced Hessian sequential quadratic programming method. To illustrate code's performance, we present numerical experimental studies involving tumor bearing mice. It is shown that accelerates reconstruction process by up to 15 times compared unconstrained algorithms provides more accurate results as so-called two-step approach multi-wavelength imaging.