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Abstract #4810

Low-frequency asymptotic behaviour of the apparent diffusion coefficient when measured with approximate cosinusoidal gradient waveforms

Jeff Kershaw1 and Takayuki Obata1
1Applied MRI Research, National Institute of Radiological Sciences, QST, Chiba, Japan

Synopsis

Keywords: Microstructure, Microstructure

Motivation: Existing theory for OGSE-DWI has been developed under the assumption of an ideal cosinusoidal gradient waveform, but it is impossible to implement such a waveform in practice.

Goal(s): Investigate how the low-frequency asymptotic behaviour of the ADC is affected when OGSE-DWI measurements are performed with an approximate cosinusoidal waveform.

Approach: A theoretical study was performed to derive the asymptotic behaviour of the ADC from first principles for three MPG waveforms.

Results: The predicted low-frequency behaviour of the ADC for the CPHS and DS waveforms can clearly differ from that for the ideal cos waveform.

Impact: The microstructure of a complex medium can be characterised by measuring the low-frequency limit of the ADC with OGSE-DWI. However, it is important to understand how the limitations of the gradient hardware affect interpretation of the data.

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Keywords