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Conference Papers Year : 2012

New ODE Model for Diffusion MRI Signal


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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hal-00764195 , version 1 (12-12-2012)


  • HAL Id : hal-00764195 , version 1


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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