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- import math
- import warnings
- import numpy as np
- import pypulseq as pp
- def main(plot: bool, write_seq: bool, seq_filename: str = "tse_pypulseq.seq"):
- # ======
- # SETUP
- # ======
- dG = 250e-6
- # Set system limits
- system = pp.Opts(
- max_grad=32,
- grad_unit="mT/m",
- max_slew=130,
- slew_unit="T/m/s",
- rf_ringdown_time=100e-6,
- rf_dead_time=100e-6,
- adc_dead_time=10e-6,
- )
- seq = pp.Sequence(system) # Create a new sequence object
- fov = 256e-3 # Define FOV and resolution
- Nx, Ny = 128, 128
- n_echo = 16 # Number of echoes
- n_slices = 1
- rf_flip = 180 # Flip angle
- if isinstance(rf_flip, int):
- rf_flip = np.zeros(n_echo) + rf_flip
- slice_thickness = 5e-3
- TE = 12e-3 # Echo time
- TR = 2000e-3 # Repetition time
- sampling_time = 6.4e-3
- readout_time = sampling_time + 2 * system.adc_dead_time
- t_ex = 2.5e-3
- t_exwd = t_ex + system.rf_ringdown_time + system.rf_dead_time
- t_ref = 2e-3
- t_refwd = t_ref + system.rf_ringdown_time + system.rf_dead_time
- t_sp = 0.5 * (TE - readout_time - t_refwd)
- t_spex = 0.5 * (TE - t_exwd - t_refwd)
- fsp_r = 1
- fsp_s = 0.5
- rf_ex_phase = np.pi / 2
- rf_ref_phase = 0
- # ======
- # CREATE EVENTS
- # ======
- flip_ex = 90 * np.pi / 180
- rf_ex, gz, _ = pp.make_sinc_pulse(
- flip_angle=flip_ex,
- system=system,
- duration=t_ex,
- slice_thickness=slice_thickness,
- apodization=0.5,
- time_bw_product=4,
- phase_offset=rf_ex_phase,
- return_gz=True,
- )
- gs_ex = pp.make_trapezoid(
- channel="z",
- system=system,
- amplitude=gz.amplitude,
- flat_time=t_exwd,
- rise_time=dG,
- )
- flip_ref = rf_flip[0] * np.pi / 180
- rf_ref, gz, _ = pp.make_sinc_pulse(
- flip_angle=flip_ref,
- system=system,
- duration=t_ref,
- slice_thickness=slice_thickness,
- apodization=0.5,
- time_bw_product=4,
- phase_offset=rf_ref_phase,
- use="refocusing",
- return_gz=True,
- )
- gs_ref = pp.make_trapezoid(
- channel="z",
- system=system,
- amplitude=gs_ex.amplitude,
- flat_time=t_refwd,
- rise_time=dG,
- )
- ags_ex = gs_ex.area / 2
- gs_spr = pp.make_trapezoid(
- channel="z",
- system=system,
- area=ags_ex * (1 + fsp_s),
- duration=t_sp,
- rise_time=dG,
- )
- gs_spex = pp.make_trapezoid(
- channel="z", system=system, area=ags_ex * fsp_s, duration=t_spex, rise_time=dG
- )
- delta_k = 1 / fov
- k_width = Nx * delta_k
- gr_acq = pp.make_trapezoid(
- channel="x",
- system=system,
- flat_area=k_width,
- flat_time=readout_time,
- rise_time=dG,
- )
- adc = pp.make_adc(
- num_samples=Nx, duration=sampling_time, delay=system.adc_dead_time
- )
- gr_spr = pp.make_trapezoid(
- channel="x",
- system=system,
- area=gr_acq.area * fsp_r,
- duration=t_sp,
- rise_time=dG,
- )
- agr_spr = gr_spr.area
- agr_preph = gr_acq.area / 2 + agr_spr
- gr_preph = pp.make_trapezoid(
- channel="x", system=system, area=agr_preph, duration=t_spex, rise_time=dG
- )
- # Phase-encoding
- n_ex = math.floor(Ny / n_echo)
- pe_steps = np.arange(1, n_echo * n_ex + 1) - 0.5 * n_echo * n_ex - 1
- if divmod(n_echo, 2)[1] == 0:
- pe_steps = np.roll(pe_steps, [0, int(-np.round(n_ex / 2))])
- pe_order = pe_steps.reshape((n_ex, n_echo), order="F").T
- phase_areas = pe_order * delta_k
- # Split gradients and recombine into blocks
- gs1_times = np.array([0, gs_ex.rise_time])
- gs1_amp = np.array([0, gs_ex.amplitude])
- gs1 = pp.make_extended_trapezoid(channel="z", times=gs1_times, amplitudes=gs1_amp)
- gs2_times = np.array([0, gs_ex.flat_time])
- gs2_amp = np.array([gs_ex.amplitude, gs_ex.amplitude])
- gs2 = pp.make_extended_trapezoid(channel="z", times=gs2_times, amplitudes=gs2_amp)
- gs3_times = np.array(
- [
- 0,
- gs_spex.rise_time,
- gs_spex.rise_time + gs_spex.flat_time,
- gs_spex.rise_time + gs_spex.flat_time + gs_spex.fall_time,
- ]
- )
- gs3_amp = np.array(
- [gs_ex.amplitude, gs_spex.amplitude, gs_spex.amplitude, gs_ref.amplitude]
- )
- gs3 = pp.make_extended_trapezoid(channel="z", times=gs3_times, amplitudes=gs3_amp)
- gs4_times = np.array([0, gs_ref.flat_time])
- gs4_amp = np.array([gs_ref.amplitude, gs_ref.amplitude])
- gs4 = pp.make_extended_trapezoid(channel="z", times=gs4_times, amplitudes=gs4_amp)
- gs5_times = np.array(
- [
- 0,
- gs_spr.rise_time,
- gs_spr.rise_time + gs_spr.flat_time,
- gs_spr.rise_time + gs_spr.flat_time + gs_spr.fall_time,
- ]
- )
- gs5_amp = np.array([gs_ref.amplitude, gs_spr.amplitude, gs_spr.amplitude, 0])
- gs5 = pp.make_extended_trapezoid(channel="z", times=gs5_times, amplitudes=gs5_amp)
- gs7_times = np.array(
- [
- 0,
- gs_spr.rise_time,
- gs_spr.rise_time + gs_spr.flat_time,
- gs_spr.rise_time + gs_spr.flat_time + gs_spr.fall_time,
- ]
- )
- gs7_amp = np.array([0, gs_spr.amplitude, gs_spr.amplitude, gs_ref.amplitude])
- gs7 = pp.make_extended_trapezoid(channel="z", times=gs7_times, amplitudes=gs7_amp)
- # Readout gradient
- gr3 = gr_preph
- gr5_times = np.array(
- [
- 0,
- gr_spr.rise_time,
- gr_spr.rise_time + gr_spr.flat_time,
- gr_spr.rise_time + gr_spr.flat_time + gr_spr.fall_time,
- ]
- )
- gr5_amp = np.array([0, gr_spr.amplitude, gr_spr.amplitude, gr_acq.amplitude])
- gr5 = pp.make_extended_trapezoid(channel="x", times=gr5_times, amplitudes=gr5_amp)
- gr6_times = np.array([0, readout_time])
- gr6_amp = np.array([gr_acq.amplitude, gr_acq.amplitude])
- gr6 = pp.make_extended_trapezoid(channel="x", times=gr6_times, amplitudes=gr6_amp)
- gr7_times = np.array(
- [
- 0,
- gr_spr.rise_time,
- gr_spr.rise_time + gr_spr.flat_time,
- gr_spr.rise_time + gr_spr.flat_time + gr_spr.fall_time,
- ]
- )
- gr7_amp = np.array([gr_acq.amplitude, gr_spr.amplitude, gr_spr.amplitude, 0])
- gr7 = pp.make_extended_trapezoid(channel="x", times=gr7_times, amplitudes=gr7_amp)
- # Fill-times
- t_ex = pp.calc_duration(gs1) + pp.calc_duration(gs2) + pp.calc_duration(gs3)
- t_ref = (
- pp.calc_duration(gs4)
- + pp.calc_duration(gs5)
- + pp.calc_duration(gs7)
- + readout_time
- )
- t_end = pp.calc_duration(gs4) + pp.calc_duration(gs5)
- TE_train = t_ex + n_echo * t_ref + t_end
- TR_fill = (TR - n_slices * TE_train) / n_slices
- # Round to gradient raster
- TR_fill = system.grad_raster_time * np.round(TR_fill / system.grad_raster_time)
- if TR_fill < 0:
- TR_fill = 1e-3
- warnings.warn(
- f"TR too short, adapted to include all slices to: {1000 * n_slices * (TE_train + TR_fill)} ms"
- )
- else:
- print(f"TR fill: {1000 * TR_fill} ms")
- delay_TR = pp.make_delay(TR_fill)
- # ======
- # CONSTRUCT SEQUENCE
- # ======
- for k_ex in range(n_ex + 1):
- for s in range(n_slices):
- rf_ex.freq_offset = (
- gs_ex.amplitude * slice_thickness * (s - (n_slices - 1) / 2)
- )
- rf_ref.freq_offset = (
- gs_ref.amplitude * slice_thickness * (s - (n_slices - 1) / 2)
- )
- rf_ex.phase_offset = (
- rf_ex_phase
- - 2 * np.pi * rf_ex.freq_offset * pp.calc_rf_center(rf_ex)[0]
- )
- rf_ref.phase_offset = (
- rf_ref_phase
- - 2 * np.pi * rf_ref.freq_offset * pp.calc_rf_center(rf_ref)[0]
- )
- seq.add_block(gs1)
- seq.add_block(gs2, rf_ex)
- seq.add_block(gs3, gr3)
- for k_echo in range(n_echo):
- if k_ex > 0:
- phase_area = phase_areas[k_echo, k_ex - 1]
- else:
- phase_area = 0.0 # 0.0 and not 0 because -phase_area should successfully result in negative zero
- gp_pre = pp.make_trapezoid(
- channel="y",
- system=system,
- area=phase_area,
- duration=t_sp,
- rise_time=dG,
- )
- gp_rew = pp.make_trapezoid(
- channel="y",
- system=system,
- area=-phase_area,
- duration=t_sp,
- rise_time=dG,
- )
- seq.add_block(gs4, rf_ref)
- seq.add_block(gs5, gr5, gp_pre)
- if k_ex > 0:
- seq.add_block(gr6, adc)
- else:
- seq.add_block(gr6)
- seq.add_block(gs7, gr7, gp_rew)
- seq.add_block(gs4)
- seq.add_block(gs5)
- seq.add_block(delay_TR)
- (
- ok,
- error_report,
- ) = seq.check_timing() # Check whether the timing of the sequence is correct
- if ok:
- print("Timing check passed successfully")
- else:
- print("Timing check failed. Error listing follows:")
- [print(e) for e in error_report]
- # ======
- # VISUALIZATION
- # ======
- if plot:
- seq.plot()
- # =========
- # WRITE .SEQ
- # =========
- if write_seq:
- seq.write(seq_filename)
- if __name__ == "__main__":
- main(plot=True, write_seq=True)
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