New ODE Model for Diffusion MRI Signal

Abstract : Water diffusion in biological tissues is not Gaussian and signal attenuation is not monoexponential with b-value [1]. Approaches to deal with this behavior include the bi-exponential model [1,2], the Karger model [3], and Kurtosis approach [4]. We formulate an ODE model for diffusion MRI signal that is more general than Karger model, valid for more general diffusion gradient shapes and gives a good approximation to the ADC and Kurtosis. Given DMRI signals before and after cell swelling, we can estimate the amount of cell swelling after numerically solving an ODE system.
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https://hal.inria.fr/hal-00764195
Contributor : Hang Tuan Nguyen <>
Submitted on : Wednesday, December 12, 2012 - 3:27:31 PM
Last modification on : Monday, November 4, 2019 - 6:34:04 AM
Long-term archiving on : Wednesday, March 13, 2013 - 3:54:40 AM

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Hang Tuan Nguyen, Jing-Rebecca Li, Denis S. Grebenkov. New ODE Model for Diffusion MRI Signal. MRPM11, Sep 2012, Surrey, United Kingdom. ⟨hal-00764195⟩

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