Advisor(s)
Dana H. Brooks
Contributor(s)
Eric L. Miller, Vasilis Ntziachristos, Mark J. Niedre
Date of Award
2009
Date Accepted
12-2008
Degree Grantor
Northeastern University
Degree Level
Ph.D.
Degree Name
Doctor of Philosophy
Department or Academic Unit
College of Engineering. Department of Electrical and Computer Engineering.
Keywords
Electrical engineering, Fluorescence, Molecular imaging, Multi modality imaging, Tomography
Subject Categories
Imaging systems in medicine, Optical tomography, Fluorescence
Disciplines
Biomedical Engineering and Bioengineering
Abstract
Fluorescence molecular tomography (FMT) is an optical imaging technique that uses near infrared light to localize and quantify \textit{in vivo} distributions of fluorescent probes targeting biochemical markers such as genes, proteins, and enzymes. In this thesis, we examine three aspects of the FMT reconstruction problem: statistical data modeling in the context of normalized fluorescence imaging, methods for the use of prior structural information arising from multi-modal FMT-CT imaging, and techniques to compensate for errors in that prior information. We derive a probabilistic model for normalized fluorescence data and use this model as the basis for reconstruction. This eliminates errors and human biases introduced by manual data thresholding and is shown to yield improved reconstructions with greater consistency. To improve upon the resolution limits of stand-alone FMT, we examine modeling and regularization that incorporates structural prior information available from data acquired by a complementary imaging modality such as CT or MRI. We show that improved diffusion forward models using average tissue optical properties can subsequently result in improved reconstructions. A two step inversion approach is then presented, using the solution to an anatomically defined low dimensional problem as the basis of a spatially varying regularization term for the full resolution problem. Results are presented for both simulated and \textit{in vivo} data, in the context of imaging a mouse model of Alzheimer's disease. Such diffuse targets are difficult to reconstruct with stand alone approaches, thus highlighting the utility of the multimodal approach. Results are correlated with post mortem fluorescence measurements, and show a high degree of correlation between reconstruction intensity and observed fluorescence. Finally, two methods are presented to address situations where the prior information and underlying fluorescence share similar, but not identical, structure. The first uses differential equations to derive a Gaussian prior model for the fluorescence image. The incorporation of boundary conditions between anatomical regions allows information to cross their boundaries, and can help to compensate for boundary misplacement in the prior. The second approach uses the sparsity inducing properties of 1-norm minimization to localize the boundary within an uncertainty region around its initial position. Both approaches are tested using a range of 2-D simulated experiments.
Document Type
Dissertation
Rights Holder
Damon Eliot Hyde
Permanent URL
Recommended Citation
Hyde, Damon Eliot, "Statistical modeling and structured regularization for fluorescence molecular tomography" (2009). Electrical Engineering Dissertations. Paper 19. http://hdl.handle.net/2047/d10017070
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