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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