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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "fa65cf4c-8fc9-4fa3-a342-74c485c819c6", | |
"metadata": {}, | |
"source": [ | |
"# Simulating $^{1}\\text{H}$ and $^{13}\\text{C}$ Nuclei in SSFP Experiments\n", | |
"\n", | |
"Author: Daniel Segal\n", | |
"\n", | |
"Date: November 25, 2024\n", | |
"\n", | |
"---\n", | |
"\n", | |
"## Project Overview\n", | |
"\n", | |
"In this project, we simulate Steady-State Free Precession (SSFP) NMR experiments for $^{1}\\text{H}$ and $^{13}\\text{C}$ nuclei using the Bloch equations. We explore how different parameters affect the magnetization dynamics of these nuclei, including off-resonance frequency, flip angle, and relaxation times. The simulations are performed using Python and visualized with plots.\n", | |
"\n", | |
"## 1. Import Necessary Libraries and Define Nuclei Properties\n", | |
"\n", | |
"### 1.1 Import Libraries\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "d59df76d-92cb-4d5e-a64c-d44f856fc59d", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from types import MappingProxyType\n", | |
"\n", | |
"%matplotlib inline\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "256488a4-4735-4b83-8613-96a2b971685e", | |
"metadata": {}, | |
"source": [ | |
"### 1.2 Define Nuclei Properties\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "a61a1f2e-7746-4482-9538-6004d6fed1bf", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Define properties for common nuclei\n", | |
"nuclei = MappingProxyType({\n", | |
" \"1H\": MappingProxyType({\"gamma\": 42.577478518e6, \"T1\": 2.0, \"T2\": 0.3, \"abundance\": 99.99}),\n", | |
" \"13C\": MappingProxyType({\"gamma\": 10.7084e6, \"T1\": 15.0, \"T2\": 0.1, \"abundance\": 1.1}),\n", | |
" # Add other nuclei as needed\n", | |
"})\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "78da04f9-e611-414f-a29a-1aace35f7c4d", | |
"metadata": {}, | |
"source": [ | |
"---\n", | |
"\n", | |
"## 2. Define Rotation Matrices and Bloch Simulation Function\n", | |
"\n", | |
"### 2.1 Define Rotation Matrices\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "1d65317f-d7ce-4ab1-9265-b86ad6f6ef6f", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def rotation_matrix(axis, theta):\n", | |
" \"\"\"\n", | |
" Create a rotation matrix given an axis and angle.\n", | |
" \"\"\"\n", | |
" axis = np.array(axis)\n", | |
" axis = axis / np.linalg.norm(axis)\n", | |
" a = np.cos(theta / 2)\n", | |
" b, c, d = -axis * np.sin(theta / 2)\n", | |
" R = np.array([[a*a + b*b - c*c - d*d, 2*(b*c - a*d), 2*(b*d + a*c)],\n", | |
" [2*(b*c + a*d), a*a + c*c - b*b - d*d, 2*(c*d - a*b)],\n", | |
" [2*(b*d - a*c), 2*(c*d + a*b), a*a + d*d - b*b - c*c]])\n", | |
" return R\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "d8bd4c12-7a15-41f9-896b-beda97938e68", | |
"metadata": {}, | |
"source": [ | |
"### 2.2 Define Bloch Simulation Function\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "b1b299f8-d8de-4b48-b0b7-9023c06b2fde", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses, input_nuclei=nuclei):\n", | |
" \"\"\"\n", | |
" Simulate the SSFP sequence using the Bloch equations for a given nucleus.\n", | |
" \n", | |
" Parameters:\n", | |
" - nucleus: String, '1H' or '13C'\n", | |
" - M_init: Initial magnetization vector [Mx, My, Mz]\n", | |
" - B1: Flip angle in radians\n", | |
" - df: Off-resonance frequency (Hz)\n", | |
" - TR: Repetition time (s)\n", | |
" - N_pulses: Number of pulses to simulate\n", | |
" \"\"\"\n", | |
" # Extract nucleus properties\n", | |
" T1 = input_nuclei[nucleus]['T1']\n", | |
" T2 = input_nuclei[nucleus]['T2']\n", | |
" gamma = input_nuclei[nucleus]['gamma']\n", | |
" \n", | |
" M = np.array(M_init, dtype=float)\n", | |
" Mx_list = []\n", | |
" My_list = []\n", | |
" Mz_list = []\n", | |
" for _ in range(N_pulses):\n", | |
" # RF Pulse: Rotation about the x-axis\n", | |
" alpha = B1 # Flip angle in radians\n", | |
" R_pulse = rotation_matrix([1, 0, 0], alpha)\n", | |
" M = np.dot(R_pulse, M)\n", | |
" \n", | |
" # Free precession and relaxation during TR\n", | |
" E1 = np.exp(-TR / T1)\n", | |
" E2 = np.exp(-TR / T2)\n", | |
" phi = 2 * np.pi * df * TR # Off-resonance precession angle\n", | |
" R_precession = rotation_matrix([0, 0, 1], phi)\n", | |
" M = np.dot(R_precession, M) * E2\n", | |
"\n", | |
" # Apply transverse relaxation to Mx and My\n", | |
" M[0] *= E2\n", | |
" M[1] *= E2\n", | |
" \n", | |
" # Apply longitudinal relaxation to Mz with recovery\n", | |
" M[2] = M[2] * E1 + (1 - E1)\n", | |
"\n", | |
" # Record magnetization components\n", | |
" Mx_list.append(M[0])\n", | |
" My_list.append(M[1])\n", | |
" Mz_list.append(M[2])\n", | |
" return Mx_list, My_list, Mz_list\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "700ceea3-0518-4078-826b-d2bc977a4421", | |
"metadata": {}, | |
"source": [ | |
"## 3. Run the Simulation and Plot Results for Both Nuclei\n", | |
"\n", | |
"### 3.1 Set Up Simulation Parameters\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "9a3c72ab-d504-40af-b1a8-8cd911d141e1", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# Simulation parameters common to both nuclei\n", | |
"B1_deg = 30 # Flip angle in degrees\n", | |
"B1_init = np.deg2rad(B1_deg) # Flip angle in radians\n", | |
"df_init = 0 # Off-resonance frequency (Hz)\n", | |
"TR_init = 0.005 # Repetition time (s)\n", | |
"N_pulses_init = 200 # Number of pulses\n", | |
"M_init = (0, 0, 1) # Initial magnetization\n", | |
"\n", | |
"# Used at end to ensure variables were not mutated\n", | |
"actual_B1_deg = 30 # Flip angle in degrees\n", | |
"actual_B1_init = np.deg2rad(B1_deg) # Flip angle in radians\n", | |
"actual_df_init = 0 # Off-resonance frequency (Hz)\n", | |
"actual_TR_init = 0.005 # Repetition time (s)\n", | |
"actual_N_pulses_init = 200 # Number of pulses\n", | |
"actual_M_init = (0, 0, 1) # Initial magnetization\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "ecd1a802-94c8-4ecd-84e1-f266d957cecb", | |
"metadata": {}, | |
"source": [ | |
"### 3.2 Run the Simulation for Both Nuclei\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "80a0b00f-82b6-4b23-ad61-8f44bf425b76", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 1200x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1200x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def run_both_nuclei(B1=B1_init, df=df_init, TR=TR_init, N_pulses=N_pulses_init):\n", | |
" # Run the Simulation for 1H\n", | |
" nucleus = '1H'\n", | |
" Mx_1H, My_1H, Mz_1H = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses)\n", | |
" M_total_1H = np.sqrt(np.array(Mx_1H)**2 + np.array(My_1H)**2 + np.array(Mz_1H)**2)\n", | |
" \n", | |
" # Run the Simulation for 13C\n", | |
" nucleus = '13C'\n", | |
" Mx_13C, My_13C, Mz_13C = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses)\n", | |
" M_total_13C = np.sqrt(np.array(Mx_13C)**2 + np.array(My_13C)**2 + np.array(Mz_13C)**2)\n", | |
"\n", | |
" # Time axis\n", | |
" t = np.linspace(0, N_pulses * TR, N_pulses)\n", | |
" \n", | |
" # Plotting Mz for both nuclei\n", | |
" plt.figure(figsize=(12, 6))\n", | |
" plt.plot(t, +1+np.array(Mz_1H), label='$M_z$ ($^{1}$H)')\n", | |
" plt.plot(t, -1+np.array(Mz_13C), label='$M_z$ ($^{13}$C)')\n", | |
" plt.plot(t, +1+np.array(M_total_1H), label='$|\\,M\\,|$ ($^{1}$H)', linestyle='--', alpha=2/3)\n", | |
" plt.plot(t, -1+np.array(M_total_13C), label='$|\\,M\\,|$ ($^{13}$C)', linestyle='--', alpha=2/3)\n", | |
" plt.xlabel('Time (s)')\n", | |
" plt.ylabel('Magnetization')\n", | |
" plt.title(f'SSFP Simulation: Mz and Total Magnetization for $^{{1}}$H and $^{{13}}$C with Flip Angle {B1_deg}°')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
" \n", | |
" # Plotting Mx and My for both nuclei\n", | |
" plt.figure(figsize=(12, 6))\n", | |
" plt.plot(t, My_1H, label='$M_y$ ($^{1}$H)')\n", | |
" plt.plot(t, My_13C, label='$M_y$ ($^{13}$C)')\n", | |
" plt.plot(t, Mx_1H, label='$M_x$ ($^{1}$H)', linestyle='dashed')\n", | |
" plt.plot(t, Mx_13C, label='$M_x$ ($^{13}$C)', linestyle='dotted')\n", | |
" plt.xlabel('Time (s)')\n", | |
" plt.ylabel('Mx and My Magnetization')\n", | |
" plt.title(f'SSFP Simulation: Mx and My for $^{{1}}$H and $^{{13}}$C with Flip Angle {B1_deg}°')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
"\n", | |
"run_both_nuclei()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "80ef783f-f81a-44e2-ab87-f51529efa0d8", | |
"metadata": {}, | |
"source": [ | |
"## 4. Explore Parameters for Both Nuclei\n", | |
"\n", | |
"### 4.1 Vary Off-Resonance Frequency\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "13c808ea-da9d-423b-8bf7-45327a5f932f", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1200x500 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1200x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Parameter Sweep Over df\n", | |
"\n", | |
"def vary_off_resonance_frequency(B1=B1_init, TR=TR_init, N_pulses=N_pulses_init):\n", | |
" # Define off-resonance frequencies\n", | |
" df_values = np.linspace(-1/(2*TR), 1/(2*TR), 512) # From -1/(2*TR) to 1/(2*TR)\n", | |
" \n", | |
" # Initialize lists to store steady-state magnetizations\n", | |
" Mz_ss_1H = []\n", | |
" Mz_ss_13C = []\n", | |
" \n", | |
" for df in df_values:\n", | |
" # For 1H\n", | |
" nucleus = '1H'\n", | |
" Mx_list, My_list, Mz_list = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses)\n", | |
" Mz_ss_1H.append(Mz_list[-1])\n", | |
" \n", | |
" # For 13C\n", | |
" nucleus = '13C'\n", | |
" Mx_list, My_list, Mz_list = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses)\n", | |
" Mz_ss_13C.append(Mz_list[-1])\n", | |
" \n", | |
" # Plotting Steady-State Mz vs Off-Resonance Frequency\n", | |
" plt.figure(figsize=(12, 5))\n", | |
" plt.plot(df_values, Mz_ss_1H, label='$^{1}$H')\n", | |
" plt.plot(df_values, Mz_ss_13C, label='$^{13}$C')\n", | |
" plt.xlabel('Off-Resonance Frequency (Hz)')\n", | |
" plt.ylabel('Steady-State Mz')\n", | |
" plt.title('Steady-State Mz vs Off-Resonance Frequency for $^{1}$H and $^{13}$C')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
" \n", | |
" # Plotting Transformed Steady-State Mz vs Off-Resonance Frequency\n", | |
"\n", | |
" used_scaler = np.max(Mz_ss_1H)/np.max(Mz_ss_13C)\n", | |
" \n", | |
" plt.figure(figsize=(12, 4))\n", | |
" plt.plot(df_values, Mz_ss_1H, label='$^{1}$H')\n", | |
" plt.plot(df_values, used_scaler*np.array(Mz_ss_13C), label='$^{13}$C * (~' + str(int(used_scaler)) + \")\", linestyle='dashed')\n", | |
" plt.xlabel('Symmetrical Log Off-Resonance Frequency (Hz)')\n", | |
" plt.ylabel('Steady-State Mz')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.axvline(x=+10, color='green', linestyle='--', alpha=1/2)\n", | |
" plt.axvline(x=-10, color='green', linestyle='--', alpha=1/2)\n", | |
" plt.yscale('log')\n", | |
" plt.ylim((1e-4,1))\n", | |
" plt.xscale(\"symlog\", linthresh=10)\n", | |
" plt.show()\n", | |
"\n", | |
"vary_off_resonance_frequency()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "165e7014-1b94-4d88-aadb-7d101553a3ae", | |
"metadata": {}, | |
"source": [ | |
"### 4.2 Change Flip Angle\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"id": "cedb0b0c-9633-4bac-9c1c-0061e7ee0237", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1200x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Parameter Sweep Over B1\n", | |
"\n", | |
"def change_flip_angle(df=df_init, TR=TR_init, N_pulses=N_pulses_init):\n", | |
" # Define flip angles in degrees\n", | |
" flip_angles_deg = np.linspace(0, 180, 100)\n", | |
" \n", | |
" # Initialize lists to store steady-state Mz\n", | |
" Mz_ss_1H = []\n", | |
" Mz_ss_13C = []\n", | |
" \n", | |
" for B1_deg in flip_angles_deg:\n", | |
" B1 = np.deg2rad(B1_deg)\n", | |
" # For 1H\n", | |
" nucleus = '1H'\n", | |
" Mx_list, My_list, Mz_list = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses)\n", | |
" Mz_ss_1H.append(Mz_list[-1])\n", | |
" # For 13C\n", | |
" nucleus = '13C'\n", | |
" Mx_list, My_list, Mz_list = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses)\n", | |
" Mz_ss_13C.append(Mz_list[-1])\n", | |
" \n", | |
" # Plotting Steady-State Mz vs Flip Angle\n", | |
" plt.figure(figsize=(12, 6))\n", | |
" plt.plot(flip_angles_deg, Mz_ss_1H, label='$^{1}$H')\n", | |
" plt.plot(flip_angles_deg, Mz_ss_13C, label='$^{13}$C')\n", | |
" plt.xlabel('Flip Angle (Degrees)')\n", | |
" plt.ylabel('Steady-State Mz')\n", | |
" plt.title('Steady-State Mz vs Flip Angle for $^{1}$H and $^{13}$C')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
"\n", | |
"change_flip_angle()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "d3c32ac0-da98-443b-935e-87d136e94640", | |
"metadata": {}, | |
"source": [ | |
"### 4.3 Test Chemical Shifts" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "2f4bc1b9-3c2b-4eef-b7a0-4bbc341c66ff", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1200x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Another parameter sweep over df\n", | |
"\n", | |
"def test_chemical_shifts(B1=B1_init, TR=TR_init, N_pulses=N_pulses_init):\n", | |
" # Define a list of chemical shifts (off-resonance frequencies)\n", | |
" chemical_shifts = np.linspace(-100, +100, 1000) # 100 spins from -100 Hz to +100 Hz\n", | |
" \n", | |
" N_spins = len(chemical_shifts)\n", | |
" \n", | |
" # Function to simulate multiple spins for a given nucleus\n", | |
" def simulate_multiple_spins(nucleus):\n", | |
" Mx_spins = np.zeros((N_spins, N_pulses))\n", | |
" My_spins = np.zeros((N_spins, N_pulses))\n", | |
" Mz_spins = np.zeros((N_spins, N_pulses))\n", | |
" for idx, df in enumerate(chemical_shifts):\n", | |
" Mx_list, My_list, Mz_list = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses)\n", | |
" Mx_spins[idx, :] = Mx_list\n", | |
" My_spins[idx, :] = My_list\n", | |
" Mz_spins[idx, :] = Mz_list\n", | |
" return Mx_spins, My_spins, Mz_spins\n", | |
" \n", | |
" # Simulate for 1H\n", | |
" Mx_spins_1H, My_spins_1H, Mz_spins_1H = simulate_multiple_spins('1H')\n", | |
" Mx_total_1H = np.sum(Mx_spins_1H, axis=0)\n", | |
" My_total_1H = np.sum(My_spins_1H, axis=0)\n", | |
" Mz_total_1H = np.sum(Mz_spins_1H, axis=0)\n", | |
" \n", | |
" # Simulate for 13C\n", | |
" Mx_spins_13C, My_spins_13C, Mz_spins_13C = simulate_multiple_spins('13C')\n", | |
" Mx_total_13C = np.sum(Mx_spins_13C, axis=0)\n", | |
" My_total_13C = np.sum(My_spins_13C, axis=0)\n", | |
" Mz_total_13C = np.sum(Mz_spins_13C, axis=0)\n", | |
" \n", | |
" # Time axis\n", | |
" t = np.linspace(0, N_pulses * TR, N_pulses)\n", | |
" \n", | |
" # Plotting Total Transverse Magnetization Magnitude for both nuclei\n", | |
" M_transverse_total_1H = np.sqrt(Mx_total_1H**2 + My_total_1H**2)\n", | |
" M_transverse_total_13C = np.sqrt(Mx_total_13C**2 + My_total_13C**2)\n", | |
" \n", | |
" plt.figure(figsize=(12, 6))\n", | |
" plt.plot(t, M_transverse_total_1H, label='$^{1}$H')\n", | |
" plt.plot(t, M_transverse_total_13C, label='$^{13}$C')\n", | |
" plt.xlabel('Time (s)')\n", | |
" plt.ylabel('Total Transverse Magnetization')\n", | |
" plt.title('Total Transverse Magnetization for Multiple Spins ($^{1}$H and $^{13}$C)')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
"\n", | |
"test_chemical_shifts()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "d681759a-1861-4bbf-8e0f-08a35bb57818", | |
"metadata": {}, | |
"source": [ | |
"### 4.4 Vary Relaxation Times ($T_1$ and $T_2$)\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "5f987ac1-b1d6-4e1b-9752-25fb0468f73d", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1200x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 1200x400 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# Paramater sweep replacing nuclei dict data (T1 and T2)\n", | |
"\n", | |
"def vary_relaxation_times(B1=B1_init, df=df_init, TR=TR_init, N_pulses=N_pulses_init):\n", | |
" # Define ranges for T1 and T2\n", | |
" T1_values = np.linspace(0.5, 5.0, 5) # From 0.5 s to 5.0 s\n", | |
" T2_values = np.linspace(0.05, 1.0, 5) # From 0.05 s to 1.0 s\n", | |
" \n", | |
" # Function to vary T1 or T2 for a given nucleus\n", | |
" def vary_relaxation_time(nucleus, vary_T1=True):\n", | |
" Mz_ss = []\n", | |
" # Create a local copy of nucleus properties\n", | |
" nucleus_props = nuclei.copy()\n", | |
" nucleus_props[nucleus] = dict(nucleus_props[nucleus])\n", | |
" \n", | |
" if vary_T1:\n", | |
" for T1_var in T1_values:\n", | |
" # Update T1 in the local copy\n", | |
" nucleus_props[nucleus]['T1'] = T1_var\n", | |
" Mx_list, My_list, Mz_list = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses, input_nuclei=nucleus_props)\n", | |
" Mz_ss.append(Mz_list[-1])\n", | |
" else:\n", | |
" for T2_var in T2_values:\n", | |
" # Update T2 in the local copy\n", | |
" nucleus_props[nucleus]['T2'] = T2_var\n", | |
" Mx_list, My_list, Mz_list = bloch_simulation(nucleus, M_init, B1, df, TR, N_pulses, input_nuclei=nucleus_props)\n", | |
" Mz_ss.append(Mz_list[-1])\n", | |
" return Mz_ss\n", | |
" \n", | |
" # Vary T1 for both nuclei\n", | |
" Mz_ss_T1_1H = vary_relaxation_time('1H', vary_T1=True)\n", | |
" Mz_ss_T1_13C = vary_relaxation_time('13C', vary_T1=True)\n", | |
" \n", | |
" # Plotting Steady-State Mz vs T1\n", | |
" plt.figure(figsize=(12, 4))\n", | |
" plt.plot(T1_values, Mz_ss_T1_1H, label='$^{1}$H')\n", | |
" plt.plot(T1_values, Mz_ss_T1_13C, label='$^{13}$C')\n", | |
" plt.xlabel('$T_1$ (s)')\n", | |
" plt.ylabel('Steady-State Mz')\n", | |
" plt.title('Steady-State Mz vs $T_1$ for $^{1}$H and $^{13}$C')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
" \n", | |
" # Vary T2 for both nuclei\n", | |
" Mz_ss_T2_1H = vary_relaxation_time('1H', vary_T1=False)\n", | |
" Mz_ss_T2_13C = vary_relaxation_time('13C', vary_T1=False)\n", | |
" \n", | |
" # Plotting Steady-State Mz vs T2\n", | |
" plt.figure(figsize=(12, 4))\n", | |
" plt.plot(T2_values, Mz_ss_T2_1H, label='$^{1}$H')\n", | |
" plt.plot(T2_values, Mz_ss_T2_13C, label='$^{13}$C')\n", | |
" plt.xlabel('$T_2$ (s)')\n", | |
" plt.ylabel('Steady-State Mz')\n", | |
" plt.title('Steady-State Mz vs $T_2$ for $^{1}$H and $^{13}$C')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
"\n", | |
"vary_relaxation_times()\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "2ffef064-ced2-4966-b3d2-d3a6c2995afc", | |
"metadata": {}, | |
"source": [ | |
"## 5. Additional Exploration: Include Phase Cycling for Both Nuclei\n", | |
"\n", | |
"### 5.1 Implement Phase Cycling Function\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "b0d0e2f6-91e9-410f-ad2c-f9d15d42604d", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def bloch_simulation_phase_cycling(nucleus, M_init, B1, df, TR, N_pulses, phase_increments):\n", | |
" \"\"\"\n", | |
" Simulate the SSFP sequence with phase cycling using the Bloch equations.\n", | |
" \n", | |
" Parameters:\n", | |
" - nucleus: '1H' or '13C'\n", | |
" - phase_increments: List or array of phase increments for each pulse\n", | |
" \"\"\"\n", | |
" # Extract nucleus properties\n", | |
" T1 = nuclei[nucleus]['T1']\n", | |
" T2 = nuclei[nucleus]['T2']\n", | |
" gamma = nuclei[nucleus]['gamma']\n", | |
" \n", | |
" M = np.array(M_init)\n", | |
" Mx_list = []\n", | |
" My_list = []\n", | |
" Mz_list = []\n", | |
" for idx in range(N_pulses):\n", | |
" # RF Pulse with phase cycling\n", | |
" phase = phase_increments[idx % len(phase_increments)]\n", | |
" alpha = B1 # Flip angle in radians\n", | |
" R_pulse = rotation_matrix([np.cos(phase), np.sin(phase), 0], alpha)\n", | |
" M = np.dot(R_pulse, M)\n", | |
" \n", | |
" # Free precession and relaxation during TR\n", | |
" E1 = np.exp(-TR / T1)\n", | |
" E2 = np.exp(-TR / T2)\n", | |
" phi = 2 * np.pi * df * TR # Off-resonance precession angle\n", | |
" R_precession = rotation_matrix([0, 0, 1], phi)\n", | |
" M = np.dot(R_precession, M)\n", | |
" \n", | |
" M[0] = M[0] * E2\n", | |
" M[1] = M[1] * E2\n", | |
" M[2] = M[2] * E1\n", | |
" \n", | |
" # Recovery towards equilibrium\n", | |
" M += np.array([0, 0, 1 - E1])\n", | |
" \n", | |
" # Record magnetization components\n", | |
" Mx_list.append(M[0])\n", | |
" My_list.append(M[1])\n", | |
" Mz_list.append(M[2])\n", | |
" return Mx_list, My_list, Mz_list\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "6950e924-e01c-44db-aa80-d808666fbc3b", | |
"metadata": {}, | |
"source": [ | |
"### 5.2 Run Simulation with Phase Cycling\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "d497ab8e-ea0d-46a2-8608-13c738c84621", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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", | |
"text/plain": [ | |
"<Figure size 1200x600 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def run_simulation_with_phase_cycling(B1=B1_init, df=df_init, TR=TR_init, N_pulses=N_pulses_init):\n", | |
" # Define phase increments (e.g., 0 and pi)\n", | |
" phase_increments = [0, np.pi]\n", | |
" \n", | |
" # Run the simulation with phase cycling for 1H\n", | |
" Mx_pc_1H, My_pc_1H, Mz_pc_1H = bloch_simulation_phase_cycling(\n", | |
" '1H', M_init, B1, df, TR, N_pulses, phase_increments\n", | |
" )\n", | |
" \n", | |
" # Run the simulation with phase cycling for 13C\n", | |
" Mx_pc_13C, My_pc_13C, Mz_pc_13C = bloch_simulation_phase_cycling(\n", | |
" '13C', M_init, B1, df, TR, N_pulses, phase_increments\n", | |
" )\n", | |
" \n", | |
" # Time axis\n", | |
" t_new = np.linspace(0, N_pulses * TR, N_pulses)\n", | |
" \n", | |
" # Plotting Mz with Phase Cycling for both nuclei\n", | |
" plt.figure(figsize=(12, 6))\n", | |
" plt.plot(t_new, Mz_pc_1H, label='Mz with Phase Cycling ($^{1}$H)', alpha=1/3)\n", | |
" plt.plot(t_new, Mz_pc_13C, label='Mz with Phase Cycling ($^{13}$C)', alpha=3/4, linestyle='dashed')\n", | |
" plt.xlabel('Time (s)')\n", | |
" plt.ylabel('Mz Magnetization')\n", | |
" plt.title('SSFP Simulation with Phase Cycling for $^{1}$H and $^{13}$C')\n", | |
" plt.legend()\n", | |
" plt.grid(True)\n", | |
" plt.show()\n", | |
"\n", | |
"run_simulation_with_phase_cycling()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "91a729de-ce32-4ea7-8872-6431bfcebc99", | |
"metadata": {}, | |
"source": [ | |
"## 6. Summary and Observations\n", | |
"\n", | |
"- **Comparing $^{1}\\text{H}$ and $^{13}\\text{C}$:**\n", | |
" - $^{1}\\text{H}$ has a higher gyromagnetic ratio ($\\gamma$) than $^{13}\\text{C}$, resulting in faster precession frequencies.\n", | |
" - $^{13}\\text{C}$ typically has longer $T_1$ and shorter $T_2$, affecting the steady-state magnetization differently.\n", | |
" - Natural abundance differences can impact signal strength, but in simulations, we can assume sufficient signal for comparison.\n", | |
"\n", | |
"- **Observations from Simulations:**\n", | |
" - **Off-Resonance Frequency Effects:**\n", | |
" - Both nuclei show sensitivity to off-resonance frequencies, but the extent varies due to their relaxation properties.\n", | |
" - **Flip Angle Dependence:**\n", | |
" - Optimal flip angles for maximum steady-state $M_z$ can differ between the nuclei.\n", | |
" - **Relaxation Times:**\n", | |
" - Variations in $T_1$ and $T_2$ significantly influence the magnetization dynamics and steady-state values.\n", | |
" - **Phase Cycling:**\n", | |
" - Phase cycling impacts both nuclei, with effects observable in the magnetization components over time.\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "b9e3263d-edba-428c-a2d5-e4a2320129a4", | |
"metadata": {}, | |
"source": [ | |
"## 7. Conclusion\n", | |
"\n", | |
"By simulating and comparing $^{1}\\text{H}$ and $^{13}\\text{C}$ nuclei in SSFP experiments, we've gained insights into how different nuclear properties influence NMR signal behavior. This understanding is crucial for designing and interpreting multi-nuclear NMR and MRI experiments.\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"id": "d91ebb85-f0d4-492b-9b4e-5cfe8e735d62", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"assert actual_B1_deg == B1_deg\n", | |
"assert actual_B1_init == B1_init\n", | |
"assert actual_df_init == df_init\n", | |
"assert actual_TR_init == TR_init\n", | |
"assert actual_N_pulses_init == N_pulses_init\n", | |
"assert actual_M_init == M_init\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "03e4b7d9-f1ce-4620-a99a-afc13209b67e", | |
"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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