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Multiresolution Imaging of In Vivo Ligand-Receptor Interactions

P. Thévenaz, P. Millet

Proceedings of the SPIE International Symposium on Medical Imaging: Physiology and Function from Multidimensional Images (MI'01), San Diego CA, USA, February 18-20, 2001, vol. 4321, pp. 1-11.


The aim of this study is to obtain voxel-by-voxel images of binding parameters between [11C]-Flumazenil and benzodiazepine receptors using positron emission tomography (PET). We estimate five local parameters (k1, k2, B'max, kon/VR, koff) by fitting a three-compartment ligand-receptor model for each voxel of a PET time series.

It proves difficult to fit the ligand-receptor model to the data. We trade noise and spatial resolution to get better results. Our strategy is based on the use of a multiresolution pyramid. It is much easier to solve the problem at coarse resolution because there are fewer data to process. To increase resolution, we expand the parameter maps to the next finer level and use them as initial solution to further optimization, which then proceeds at a fast pace and is more likely to escape false local minima.

For this approach to work optimally, the residue between data at a given pyramid level and data at the next level must be as small as possible. We satisfy this constraint by working with spline-based least-squares pyramids. To achieve speed, the optimizer must be efficient, particularly when it is nearing the solution. To that effect, we have developed a Marquardt-Levenberg algorithm that exhibits superlinear convergence properties.

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/thevenaz0101.html,
AUTHOR="Th{\'{e}}venaz, P. and Millet, P.",
TITLE="Multiresolution Imaging of In Vivo Ligand-Receptor
	Interactions",
BOOKTITLE="Progress in Biomedical Optics and Imaging, vol. 2, no.
	26",
YEAR="2001",
editor="Chen, C.-T. and Clough, A.V.",
volume="4321",
series="Proceedings of the {SPIE} International Symposium on Medical
	Imaging: {P}hysiology and Function from Multidimensional
	Images({MI'01})",
pages="1--11",
address="San Diego CA, USA",
month="February 18-20,",
organization="",
publisher="",
note="")

© 2001 SPIE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from SPIE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
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