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@djsegal
Last active December 1, 2024 18:43
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{
"cells": [
{
"cell_type": "markdown",
"id": "fb20e833-7ef0-4b63-809e-4f4de2b96f61",
"metadata": {},
"source": [
"# Bloch Equation Solver for SSFP MRI Sequences\n",
"\n",
"In this notebook, we explore the simulation of Steady-State Free Precession (SSFP) MRI sequences using the Bloch equations. We will define functions to model the behavior of magnetization vectors under various parameters and visualize the results interactively.\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "edd55186-44d8-47a3-95e3-b1270dcfdfa5",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from ipywidgets import interact, IntSlider\n"
]
},
{
"cell_type": "markdown",
"id": "223e549e-7451-446f-879b-1f40883453e7",
"metadata": {},
"source": [
"## Define the `bloch_ssfp` Function\n",
"\n",
"The `bloch_ssfp` function simulates the Bloch equations for an SSFP sequence, considering relaxation, off-resonance effects, and phase cycling.\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "cf7de776-fac9-455a-9eba-0f82eddc1711",
"metadata": {},
"outputs": [],
"source": [
"def bloch_ssfp(T1, T2, TR, flip_angle, df, theta, M0=[0, 0, 1], num_pulses=100):\n",
" \"\"\"\n",
" Simulate the Bloch equations for an SSFP sequence.\n",
"\n",
" Parameters:\n",
" - T1: Longitudinal relaxation time (ms)\n",
" - T2: Transverse relaxation time (ms)\n",
" - TR: Repetition time (ms)\n",
" - flip_angle: Flip angle in degrees\n",
" - df: Off-resonance frequency (Hz)\n",
" - theta: Phase offset between pulses (degrees)\n",
" - M0: Initial magnetization vector\n",
" - num_pulses: Number of RF pulses to simulate\n",
"\n",
" Returns:\n",
" - Mxy_magnitude: Magnitude of the transverse magnetization\n",
" \"\"\"\n",
" # Convert angles from degrees to radians\n",
" flip_rad = np.deg2rad(flip_angle)\n",
" theta_rad = np.deg2rad(theta)\n",
" \n",
" # Initial magnetization vector\n",
" M = np.array(M0, dtype=float)\n",
" \n",
" # Relaxation factors\n",
" E1 = np.exp(-TR / T1)\n",
" E2 = np.exp(-TR / T2)\n",
" \n",
" # Relaxation and recovery matrices\n",
" E = np.diag([E2, E2, E1])\n",
" M_eq = np.array([0, 0, 1 - E1])\n",
" \n",
" # Off-resonance precession per TR\n",
" phi_off = 2 * np.pi * df * TR / 1000 # Convert TR from ms to s\n",
" \n",
" # Total phase accumulated per TR\n",
" phi_total = theta_rad + phi_off\n",
" \n",
" # Precompute rotation matrices\n",
" Rz_phi = np.array([[np.cos(phi_total), -np.sin(phi_total), 0],\n",
" [np.sin(phi_total), np.cos(phi_total), 0],\n",
" [0, 0, 1]])\n",
" Rx_alpha = np.array([[1, 0, 0],\n",
" [0, np.cos(flip_rad), -np.sin(flip_rad)],\n",
" [0, np.sin(flip_rad), np.cos(flip_rad)]])\n",
" \n",
" # Loop over RF pulses\n",
" for n in range(num_pulses):\n",
" # Apply RF pulse with flip angle alpha\n",
" M = Rx_alpha @ M\n",
" \n",
" # Apply relaxation and recovery\n",
" M = E @ M + M_eq\n",
" \n",
" # Apply off-resonance and phase precession\n",
" M = Rz_phi @ M\n",
" \n",
" # Calculate transverse magnetization magnitude\n",
" Mxy = M[0] + 1j * M[1]\n",
" Mxy_magnitude = np.abs(Mxy)\n",
" \n",
" return Mxy_magnitude\n"
]
},
{
"cell_type": "markdown",
"id": "fdb11965-b37b-4d8e-a4ab-b1ff4d4cc3a2",
"metadata": {},
"source": [
"## Create an Interactive Plot\n",
"\n",
"We use `ipywidgets` to create an interactive plot that allows us to adjust parameters and observe their effects on the SSFP signal.\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "72120cc1-6bd8-4888-b68b-7f5597fd8c7b",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "db8cb1b47a454777bbe4f7b0a675a56a",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=100, description='df (Hz)', step=10), IntSlider(value=30, description='F…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<function __main__.interactive_plot(df=100, flip_angle=30, T2=100)>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def interactive_plot(df=100, flip_angle=30, T2=100):\n",
" T1 = 500 # Fixed T1 relaxation time in ms\n",
" TR = 5 # Repetition time in ms\n",
" num_pulses = int(np.ceil(5 * T1 / TR)) # Ensure steady state\n",
" \n",
" # Phase offset range between -270° and +270°\n",
" theta_list = np.linspace(-270, +270, 541)\n",
" Mxy_magnitudes = []\n",
" \n",
" # Compute Mxy magnitude for each phase offset\n",
" for theta in theta_list:\n",
" Mxy_magnitude = bloch_ssfp(T1, T2, TR, flip_angle, df, theta, num_pulses=num_pulses)\n",
" Mxy_magnitudes.append(Mxy_magnitude)\n",
" \n",
" # Plot the results\n",
" plt.figure(figsize=(10, 5))\n",
" plt.plot(theta_list, Mxy_magnitudes)\n",
" plt.xlabel('Phase Offset θ (degrees)')\n",
" plt.ylabel('Transverse Magnetization |Mxy|')\n",
" plt.title('SSFP Signal vs. Phase Offset θ')\n",
" plt.grid(True)\n",
" plt.xlim(-200, +200)\n",
" plt.show()\n",
"\n",
"interactive_plot()\n",
"\n",
"# Create interactive sliders for parameters\n",
"interact(\n",
" interactive_plot,\n",
" df=IntSlider(min=0, max=100, step=10, value=100, description='df (Hz)'),\n",
" flip_angle=IntSlider(min=0, max=180, step=10, value=30, description='Flip Angle (degrees)'),\n",
" T2=IntSlider(min=10, max=500, step=10, value=100, description='T2 (ms)')\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "7e817fb2-4087-4d54-9812-82a8aea87a99",
"metadata": {},
"source": [
"## Using the Interactive Plot\n",
"\n",
"Run the code cell above to display the interactive plot. Adjust the sliders to see how the SSFP signal changes with different values of:\n",
"\n",
"- **Off-Resonance Frequency (`df`)**: Simulates the effects of magnetic field inhomogeneities.\n",
"- **Flip Angle**: Controls the amount of magnetization tipped into the transverse plane.\n",
"- **Transverse Relaxation Time (`T2`)**: Affects how quickly the transverse magnetization decays.\n"
]
},
{
"cell_type": "markdown",
"id": "e26f97d9-e9e7-4a49-96a6-7f4dfabe648f",
"metadata": {},
"source": [
"## Steady-State Signal Amplitude vs. Flip Angle\n",
"\n",
"Next, we analyze how the steady-state signal amplitude varies with flip angle for different T2 relaxation times.\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "cb9683a6-bf72-4584-a557-8c23dd20e4db",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x700 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Define constants\n",
"M0 = 1 # Equilibrium magnetization (arbitrary units)\n",
"TR = 5 # Repetition time in milliseconds\n",
"T1 = 500 # T1 relaxation time in milliseconds\n",
"df = 90 # Off-resonance frequency (Hz)\n",
"theta = 0 # Phase cycling angle (degrees)\n",
"\n",
"# Flip angle range from 0° to 180°\n",
"flip_angle_deg_range = np.linspace(0, 180, 256)\n",
"\n",
"# T2 values and labels\n",
"T2_values = np.array([500, 200, 100, 50])\n",
"labels = [f'T1/T2 = {T1}/{T2} ms' for T2 in T2_values]\n",
"\n",
"# Placeholder for results\n",
"Mss_flip_angle = []\n",
"\n",
"# Number of pulses to reach steady state\n",
"num_pulses = int(np.ceil(5 * T1 / TR))\n",
"\n",
"# Compute steady-state signal for each T2 value using bloch_ssfp\n",
"for T2 in T2_values:\n",
" Mss = []\n",
" for flip_angle in flip_angle_deg_range:\n",
" # Adjust the number of pulses based on T2 and T1\n",
" correction_pulses = int(np.ceil(num_pulses * (8 * np.log1p(T2 / T1))))\n",
" Mxy_magnitude = bloch_ssfp(T1, T2, TR, flip_angle, df, theta, num_pulses=correction_pulses)\n",
" Mss.append(Mxy_magnitude)\n",
" Mss_flip_angle.append(Mss)\n",
"\n",
"# Plotting results\n",
"plt.figure(figsize=(10, 7))\n",
"\n",
"for Mss, label in zip(Mss_flip_angle, labels):\n",
" plt.plot(flip_angle_deg_range, Mss, label=label)\n",
"\n",
"# Customize the plot\n",
"plt.title('SSFP Steady-State Signal Amplitude vs. Flip Angle', fontsize=16)\n",
"plt.xlabel('Flip Angle $\\\\alpha$ (degrees)', fontsize=14)\n",
"plt.ylabel('Transverse Magnetization $|M_{xy}|$', fontsize=14)\n",
"plt.legend(fontsize=12)\n",
"plt.grid(True, linestyle='--', alpha=0.7)\n",
"plt.tight_layout()\n",
"\n",
"# Show the final plot\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "702c33fc-c6de-43ad-85ad-5b8d00476a95",
"metadata": {},
"source": [
"## Explanation of the Flip Angle Analysis\n",
"\n",
"- **Goal**: Examine how the steady-state signal amplitude depends on the flip angle for different T2 relaxation times.\n",
"- **Parameters**:\n",
" - Fixed `T1`, `TR`, and `df`.\n",
" - Variable flip angle from 0° to 180°.\n",
" - Multiple `T2` values to observe their effect.\n",
"- **Process**:\n",
" - For each `T2` value and flip angle, compute the transverse magnetization using `bloch_ssfp`.\n",
" - Adjust `num_pulses` to ensure steady state is reached, accounting for different `T2` values.\n",
"- **Visualization**:\n",
" - The plot shows how the optimal flip angle for maximum signal changes with `T2`.\n",
" - Shorter `T2` values generally lead to lower signal amplitudes and shift the peak signal to lower flip angles.\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "92b1721c-d0fd-4b61-b8ac-b046312b2555",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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