Table 1.

Phantom simulation results demonstrated that phase-based aMRI exhibited expected and desired behavior. This suggests that future quantitation (accurate displacement measurements) of brain tissue motion might be feasible.

Purpose of simulation	Parameter space	Results
Dependence on varying alpha	α: [0 – 10]	Linear correlation with r squared= 0.99
Dependence on varying initial displacement	Δx0: [0 – 0.95] mm	Linear correlation with r squared = 0.99 (indicating constant amplification factor)
Dependence on varying harmonics	n: [0 – 10]	Different harmonics were amplified equally
Dependence on varying disk radius	r: [1.875 – 30] mm	Different phantom size were amplified equally
Dependence on varying bar width	d: [3.75 – 60] mm	Different phantom size were amplified equally
Dependence on varying phantom intensity over time	n: [0 – 10]	Varying phantom intensity did not effect the amplification
Dependence on varying Rician noise	Rician noise parameter s:[0 – 0.01] mm	Different noise parameter were amplified equally
Investigate coupling between motion and partial volume effect (PVE)	n: [0 – 4] Δl0: [0 – 0.2]	Amplification parameter is independent of partial volume effect