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Modelling, fitting and sampling in diffusion MRI

Alexander, DC; (2009) Modelling, fitting and sampling in diffusion MRI. In: Mathematics and Visualization. (pp. 3-20).

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Abstract

© 2009, Springer-Verlag Berlin Heidelberg. This chapter discusses issues of modelling the diffusion MRI signal from brain tissue, fitting models of tissue microstructure to diffusion MRI measurements and designing acquisition schemes that provide the best estimates of model parameters. We construct a simple geometric model of white-matter tissue and derive an expression that relates the model parameters to the diffusion MRI signal.The axon density and diameter are parameters of the model and we examine the accuracy and precision with which we can estimate these potentially important biomarkers.Precision and accuracy depend on the set of measurements we acquire and the method we use to fit the model parameters to the data.We investigate various strategies to optimize the experiment design, as well as various objective functions for model fitting.Experiments and results compare the different methods and provide insight into the accuracy with which we can measure axon density and diameters.

Type: Book chapter
Title: Modelling, fitting and sampling in diffusion MRI
DOI: 10.1007/978-3-540-88378-4_1
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
URI: http://discovery.ucl.ac.uk/id/eprint/86444
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