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Samy Abo Seada, Joseph V Hajnal and Shaihan J Malik
A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients Samy Abo Seada, Joseph V Hajnal and Shaihan J Malik
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Motivation Aim Problem: Multiband RF pulses for SMS have long pulse durations [1,2] Solution: Use Time-Optimal VERSE to reduce pulse duration [3] Result: Not suitable for gradient system due to gradient imperfection Our solution: Iterative VERSE optimization with gradient correction Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Results Simulations Experiment Conclusion A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients [1] Larkman et al. 2001 [2] Wong E. 2012 [3] Lee et al. 2009
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Theory (1) - VERSE algorithm
Aim For flip angle π RF flips Magnetization down by an angle π and gradient ensures spatial selection Ultimately, net rotation π determined by angular precession [4] To achieve same signal, preserve net rotation π. Net rotation preserved if field strengths are halved and played out twice as long Theory VERSE TO-VERSE GIRF-effect π=π dt Iterative RF-correction Methods Results Simulations Experiment Same net rotation π Conclusion A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients [4] Conolly 1988
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Theory (2) Time Optimal VERSE
Aim Use VERSE to Minimise pulse duration, given System specification [5] Max gradient amplitude, max slew rate, max B1 Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Results Simulations Experiment Conclusion Define arc-length parameter π π‘ =πΎ 0 π‘ πΊ π ππ Excitation profiles preserved if π π = π΅ 1 π πΊ(π ) = π΅ 1 π£ (π ) πΊ π£ (π ) A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients [5] Lee et al 2009
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Theory (3) GIRF-effect Aim Previous work: Use VERSE to Minimise pulse duration, given hardware specs Does: Maximum peak RF (13ππ), Maximum peak Gradient (40 ππ π ), Maximum slew-rate (200 ππ π ππ ) Does not take into account: Eddy currents, RF/G time-mismatch etc.. A measured Gradient Impulse Response function (GIRF) does! Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Results Simulations πΊ ππ’π‘ (π‘)= πΊ ππ (π‘)βπΊπΌπ
πΉ(π‘) Experiment Conclusion A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients [6] Vannesjo 2013
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Theory (3) GIRF-effect Simulated Profiles Gradient after TO-VERSE
RF after TO-VERSE Aim Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Simulated Profiles Results Simulations Experiment Conclusion A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients
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Theory (4) Iterative correction
Aim Holds for But Magnetization experiences Correct by substituting π πππ‘ into (1) and find π΅ 1,πππ‘π’ππ π£ π πππ‘ =π π πππ‘ πΊ πππ‘π’ππ π£ ( π πππ‘ ) Excitation profiles preserved if π π = π΅ 1 π πΊ(π ) = π΅ 1 π£ (π ) πΊ π£ (π ) (1) Theory VERSE Corrected RF pulse overshoots initial π΅ 1 constraint TO-VERSE GIRF-effect π π‘ =πΎ 0 π‘ πΊ ππππππ π£ π ππ Iterative RF-correction Methods Simulated Profiles Results Simulations | π π₯π¦ | π πππ‘ π‘ =πΎ 0 π‘ πΊ πππ‘π’ππ π£ π ππ Experiment Conclusion Space [cm] A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients
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Theory (4) Iterative correction
Aim Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Results Simulations Experiment Conclusion A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients
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Methods Aim Simulations: Phase-optimized [Wong 2012] 180 π refocusing pulses Maximum gradient 40 ππ π . Peak π΅ 1 : 13ππ Maximum slew-rate: 200 ππ π ππ GIRF: Measured for our Philips Achieva 3T Experiments: Philips Achieva 3T. Gradient echo sequence Spherical water phantom ( π 1 =270ms) Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Results Simulations Experiment Conclusion A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients
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Results (1): Simulations
Aim Effective duration defined as π πππ = πΎ π΅ 1,πππ₯ ππ‘ π where πΎ:gyromagnetic ratio. dt: dwell-time. π: Flip angle Errorsbars show range of duration across different slice-separations Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Results Simulations Experiment Conclusion VERSE:80% reduction VERSE + GIRF: 70 reduction VERSE:46% reduction VERSE + GIRF: 31% reduction A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients
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Results (2) β In-vitro experiment
Aim Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Results Simulations Experiment Conclusion A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients
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Conclusion Aim Effective method to make Time-optimal VERSE-Multiband pulses feasible Applicable for any 1D pulse which suffers from gradient BW problems Three-stage design is sub-optimal High compression factor for Higher Time-bandwidth pulses Further work: Incorporate GIRF directly into VERSE for optimal design Is a measured GIRF necessary? Theory VERSE TO-VERSE GIRF-effect Iterative RF-correction Methods Results Simulations Experiment Conclusion A simple optimization approach to making time efficient VERSE-multiband pulses feasible on non-ideal gradients
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