NoteBooks/Spoiled_Gradient_Echo.ipynb

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            "_model_module_version": "1.5.0",
            "_model_name": "FloatSliderModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "FloatSliderView",
            "continuous_update": true,
            "description": "T1 [s]",
            "description_tooltip": null,
            "disabled": false,
            "layout": "IPY_MODEL_e14a0829a1314a478f6a142b82327c67",
            "max": 5,
            "min": 0.1,
            "orientation": "horizontal",
            "readout": true,
            "readout_format": ".2f",
            "step": 0.1,
            "style": "IPY_MODEL_063cdb9eba1f49b8a59034e647d1eb50",
            "value": 0.5
          }
        },
        "f7f098bdd62d4bddaf0b6a51f48fafa3": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "FloatSliderModel",
          "model_module_version": "1.5.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "FloatSliderModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "FloatSliderView",
            "continuous_update": true,
            "description": "TR [s]",
            "description_tooltip": null,
            "disabled": false,
            "layout": "IPY_MODEL_b8e609bc0df044c7a3d371a2995ae04e",
            "max": 2,
            "min": 0.01,
            "orientation": "horizontal",
            "readout": true,
            "readout_format": ".2f",
            "step": 0.1,
            "style": "IPY_MODEL_bb0600ea8a494498a9436e1a0c5096a0",
            "value": 0.1
          }
        },
        "7381b01a465a4687a8a869c724c89a13": {
          "model_module": "@jupyter-widgets/output",
          "model_name": "OutputModel",
          "model_module_version": "1.0.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/output",
            "_model_module_version": "1.0.0",
            "_model_name": "OutputModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/output",
            "_view_module_version": "1.0.0",
            "_view_name": "OutputView",
            "layout": "IPY_MODEL_8db5bfbae9444acc8f41c962ee01ceae",
            "msg_id": "",
            "outputs": [
              {
                "output_type": "display_data",
                "data": {
                  "text/plain": "<Figure size 1152x576 with 1 Axes>",
                  "image/png": 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  "cells": [
    {
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      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/kmjohnson3/Intro-to-MRI/blob/master/NoteBooks/Spoiled_Gradient_Echo.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
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      "metadata": {
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      },
      "source": [
        "# Spoiled Gradient Echo\n",
        "In this notebook, we will explore the solutions to the Bloch equations for a spoiled gradient echo sequence. Recall the Spoiled Gradient echo has a timing diagram that looks like:\n",
        "\n",
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        "\n",
        "where $TR$ is the time between excitations with a flip angle of $\\alpha$. To prevent the signal from carrying over from excitation to excitation, there is a gradinet applied to dephase the signal and the phase of the RF pulse is also incremented quadratically between excitations. The assumption of the solvers is that we can completely eliminate the transverse magnetization at the end of the TR gap.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_kXRe1UtXPs6"
      },
      "source": [
        "# This is comment, Python will ignore this line\n",
        "\n",
        "# Import libraries (load libraries which provide some functions)\n",
        "%matplotlib inline\n",
        "import numpy as np # array library\n",
        "import math\n",
        "import cmath\n",
        "\n",
        "# For interactive plotting\n",
        "from ipywidgets import interact, interactive, FloatSlider\n",
        "from IPython.display import clear_output, display, HTML\n",
        "\n",
        "# for plotting modified style for better visualization\n",
        "import matplotlib.pyplot as plt \n",
        "import matplotlib as mpl\n",
        "mpl.rcParams['lines.linewidth'] = 4\n",
        "mpl.rcParams['axes.titlesize'] = 24\n",
        "mpl.rcParams['axes.labelsize'] = 20\n",
        "mpl.rcParams['xtick.labelsize'] = 16\n",
        "mpl.rcParams['ytick.labelsize'] = 16\n",
        "mpl.rcParams['legend.fontsize'] = 16\n",
        "\n",
        "# Hit the play button to run this cell"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p7_bvi4tWCr7"
      },
      "source": [
        "# Import a solver\n",
        "\n",
        "This will import the nutation solver we had before. There is one small change, we now have a special flag in the solver to \"spoil\" the magentization. We could alternatively simulate the dephasing process explicitly but this creates substantially more complexity. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VwOSaC97r5IW"
      },
      "source": [
        "class Event:\n",
        "  def __init__(self, excite_flip=0, excite_phase=0, recovery_time=0, spoil=False):\n",
        "    self.excite_flip = excite_flip\n",
        "    self.excite_phase = excite_phase\n",
        "    self.recovery_time = recovery_time\n",
        "    self.spoil = spoil\n",
        "\n",
        "def bloch_nutation_solver( event_list, M0, T1, T2, freq ):\n",
        "\n",
        "  #  Inputs:\n",
        "  #    event_list -- Special structure with entries\n",
        "  #             .excite_flip  flip angle of rotation\n",
        "  #             .excite_phase phase of excite degrees\n",
        "  #             .recovery_time time after excite to recover \n",
        "  #             .spoil (if 'true' this set the Mxy to zero at the recovery)\n",
        "  #    T1         -- Longitudinal relaxation times (s)\n",
        "  #    T2         -- Transverse relaxation times (s)\n",
        "  #    Freq Offset-- Off center frequency in Hz\n",
        "  #    M0         -- Initial state of magnetization (not equilibrium magnetization)\n",
        "  #  Outputs:\n",
        "  #    time -- Magnetization for each position in time\n",
        "  #    BOutput -- Magnetic field for each position in time (interpolated)\n",
        "\n",
        "  # Initialize\n",
        "  count = 0;\n",
        "  time = [0,];\n",
        "  Mout = [M0,]\n",
        "\n",
        "  M=M0;\n",
        "\n",
        "  # Go through the event_list\n",
        "  for event in event_list:\n",
        "    \n",
        "    theta = event.excite_phase * math.pi / 180\n",
        "    alpha =  event.excite_flip * math.pi / 180\n",
        "    T = event.recovery_time\n",
        "    spoil = event.spoil\n",
        "    \n",
        "    # Excite\n",
        "    Rz = np.array([[math.cos(theta), math.sin(theta), 0],\n",
        "                    [-math.sin(theta), math.cos(theta), 0],\n",
        "                    [0,  0, 1]]) \n",
        "    Rx = np.array([[1,0, 0],\n",
        "                    [0, math.cos(alpha), math.sin(alpha)],\n",
        "                    [0, -math.sin(alpha), math.cos(alpha)]])\n",
        "    \n",
        "    M = np.linalg.inv(Rz)@Rx@Rz@M \n",
        "    \n",
        "    # Relaxation (Transverse)\n",
        "    if spoil:\n",
        "        Mxy = np.array(0 + 1j*0)\n",
        "        Mx = 0\n",
        "        My = 0\n",
        "    else:\n",
        "        Mxy = M[0] + 1j*M[1]\n",
        "        Mxy = Mxy*cmath.exp( 2j*math.pi*freq*T)*math.exp(-T/T2)\n",
        "        Mx = Mxy[0].real\n",
        "        My = Mxy[0].imag\n",
        "        \n",
        "            \n",
        "    # Relaxation (Longitudinal)\n",
        "    Mz = M[2]\n",
        "    Mz = 1 + (Mz - 1)*math.exp(-T/T1);\n",
        "    \n",
        "    # Put back into [Mx; My; Mz] vector\n",
        "    M = np.array([[Mx], [My], [Mz[0]]])\n",
        "    \n",
        "    # Store for output\n",
        "    time.append(time[-1]+T)\n",
        "    Mout.append(M)\n",
        "\n",
        "  Mout = np.array(Mout)\n",
        "  return time, Mout\n",
        "  "
      ],
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZagoXPzmabT0"
      },
      "source": [
        "# Solution for SPGR\n",
        "Now lets solve for an SPGR experiment. The key paramaters we have are\n",
        "\n",
        "*   $TR$ sets the time between pulses, typically from 1 to 1000ms\n",
        "*   $\\alpha$ sets the flip angle, typically from $0^{\\circ}$ to $90^{\\circ}$\n",
        "*   $TE$ would be the time after the excitation and would detrmine how much $T2^*$ weighting in the image\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "aCkkIEBAzrR0"
      },
      "source": [
        "TR = 100e-3 \n",
        "TE = 1e-3\n",
        "alpha = 20 # in degrees\n",
        "nexcite = 20 # number of exciatation pulses\n",
        "\n",
        "# Define this as a function to make this reusable\n",
        "def make_excite_chain(TR, alpha, nexcite):\n",
        "  # Blank list of events\n",
        "  event_list = []\n",
        "\n",
        "  for excite_number in range(nexcite):\n",
        "    # Excite\n",
        "    event_list.append( Event(excite_flip=alpha, excite_phase=0))\n",
        "\n",
        "    # Gap (split into multiple gaps just to show recovery) \n",
        "    dt = TR / 100\n",
        "    for pos in range(100):\n",
        "        event_list.append( Event(recovery_time=dt))\n",
        "      \n",
        "    # Spoil\n",
        "    event_list.append( Event(spoil=True))\n",
        "  return event_list\n",
        "  \n",
        "def spgr_sim(T1, T2, freq, TR, alpha, sim_time=20):\n",
        "\n",
        "  nexcite = math.ceil(sim_time / TR)\n",
        "\n",
        "  # Simulate \n",
        "  M0 = np.array([[0],[0],[1.0]])\n",
        "  event_list = make_excite_chain(TR, alpha, nexcite)\n",
        "  time, Mout = bloch_nutation_solver( event_list, M0, T1, T2, freq );\n",
        "\n",
        "  plt.figure(figsize=(16,8))\n",
        "  plt.plot(time,Mout[:,0], label=r'$M_x$')\n",
        "  plt.plot(time,Mout[:,1], label=r'$M_y$')\n",
        "  plt.plot(time,np.sqrt(Mout[:,1]**2+Mout[:,0]**2), '--', label=r'$M_y$')\n",
        "  plt.plot(time,Mout[:,2], label=r'$M_z$')\n",
        "  plt.ylabel('Magnetization [a.u.]')\n",
        "  plt.xlabel('Time [s]')\n",
        "  plt.xlim([0, sim_time])\n",
        "  plt.legend()\n",
        "  plt.show()\n"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bMZ_swNVg6eO"
      },
      "source": [
        "# Effect of parameters on the signal evolution\n",
        "Below are plots of the signal evolution over. You can play around with paramaters to see if they change as you expect. Pay attention to the magnetization at the end of the chain.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Bzh3yKS8dN2C",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 703,
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          ]
        },
        "outputId": "ec486484-4d1e-48df-a8b4-89e8df3a4d09"
      },
      "source": [
        "w = interactive(spgr_sim, \n",
        "                T1=FloatSlider(min=0.1, max=5., value=1, description='T1 [s]'), \n",
        "                T2=FloatSlider(min=0.01, max=0.5, value=0.05, description='T2* [s]'), \n",
        "                TR=FloatSlider(min=0.01, max=5., value=0.2, description='TR [s]'), \n",
        "                freq=FloatSlider(min=-100, max=100, description='Off resonance [Hz]'), \n",
        "                alpha=FloatSlider(min=0, max=90, value=30, description='Flip [deg.]'), \n",
        "                sim_time=FloatSlider(min=1, max=20, value=5, description='Sim Time'))\n",
        "display(w)"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "interactive(children=(FloatSlider(value=1.0, description='T1 [s]', max=5.0, min=0.1), FloatSlider(value=0.05, …"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
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            }
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6NUDesem0Geb"
      },
      "source": [
        "# Steady State Signal\n",
        "\n",
        "In the steady state, the magnetization will not change from excitation to excitation. In this state, the longitudinal magnetization just before the magnetization will aproach:\n",
        "\n",
        "\\begin{equation}\n",
        "M_{z}^{-} = M_0 \\frac{1 - e^{-TR/T1}}{1-cos(\\alpha)e^{-TR/T1}}\n",
        "\\end{equation}\n",
        "\n",
        "This signal will tip into the transverse plane by the flip angle $\\alpha$:\n",
        "\n",
        "\\begin{equation}\n",
        "M_{xy} = M_z\\cdot sin(\\alpha) \\cdot e^{-TE/T2^*}\n",
        "\\end{equation}\n",
        "\n",
        "Resulting in the total SPGR signal equation:\n",
        "\n",
        "\\begin{equation}\n",
        "M_{z}^{-} = M_0 \\cdot sin(\\alpha) \\cdot e^{-TE/T2^*} \\frac{1 - e^{-TR/T1}}{1-cos(\\alpha)e^{-TR/T1}}\n",
        "\\end{equation}\n",
        "\n",
        "Below are two simulations investigating the effect of paramaters on the signal. The first compares the signals vs. T1 and the second compares the signal vs. flip angle.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 600,
          "referenced_widgets": [
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        },
        "id": "VNDitXvalA1V",
        "outputId": "a9e3833c-8ad7-4dca-ff00-46ba4fbcdd71"
      },
      "source": [
        "def spgr_sim_steady_state( TR, alpha):\n",
        "\n",
        "  # Simulate for a range of T1 values\n",
        "  T1 = np.linspace(0.01, 5, 1000)\n",
        "\n",
        "  # Steady state solution\n",
        "  alpha_deg = alpha/180*math.pi\n",
        "  Mz = (1-np.exp(-TR/T1))/(1-np.cos(alpha_deg)*np.exp(-TR/T1))\n",
        "  Mxy = Mz*np.sin(alpha_deg)\n",
        "\n",
        "  plt.figure(figsize=(16,8))\n",
        "  plt.title(f'TR = {1e3*TR} ms, flip angle = {alpha} degrees')\n",
        "  plt.plot(T1, Mxy, label=r'$M_{xy}$')\n",
        "  plt.plot(T1, Mz, label=r'$M_z^{-}$')\n",
        "  plt.ylabel('Magnetization [a.u.]')\n",
        "  plt.xlabel('T1 [s]')\n",
        "  plt.xlim([np.min(T1), np.max(T1)])\n",
        "  plt.ylim([0, 1.1])\n",
        "  \n",
        "  plt.legend()\n",
        "  plt.show()\n",
        "\n",
        "w = interactive(spgr_sim_steady_state,  \n",
        "                TR=FloatSlider(min=0.01, max=2., value=0.1, description='TR [s]'),\n",
        "                alpha=FloatSlider(min=0, max=90, value=30, description='Flip [deg.]'))\n",
        "display(w)"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "interactive(children=(FloatSlider(value=0.1, description='TR [s]', max=2.0, min=0.01), FloatSlider(value=30.0,…"
            ],
            "application/vnd.jupyter.widget-view+json": {
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            }
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Signal vs. Flip Angle\n",
        "* Can you maximize the difference between two tissues with different T1 values?\n",
        "* How might you choose the TR? \n",
        "* How might you choose the flip angle? "
      ],
      "metadata": {
        "id": "cvXIYyprrQFa"
      }
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
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          "referenced_widgets": [
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        "id": "MwX7ADknrOfy",
        "outputId": "fc349893-727d-48d1-fcab-85ece2b3cb4b"
      },
      "source": [
        "def spgr_sim_steady_state( T1_1, T1_2, TR):\n",
        "\n",
        "  # Simulate for a range of T1 values\n",
        "  alpha_deg = np.linspace(0., 90, 1000)\n",
        "  alpha_rad = alpha_deg * math.pi / 180 \n",
        "\n",
        "  # Steady state solution first T1\n",
        "  Mz = (1-np.exp(-TR/T1_1))/(1-np.cos(alpha_rad)*np.exp(-TR/T1_1))\n",
        "  Mxy = Mz*np.sin(alpha_rad)\n",
        "\n",
        "  # Steady state solution first T1\n",
        "  Mz2 = (1-np.exp(-TR/T1_2))/(1-np.cos(alpha_rad)*np.exp(-TR/T1_2))\n",
        "  Mxy2 = Mz2*np.sin(alpha_rad)\n",
        "\n",
        "  plt.figure(figsize=(16,8))\n",
        "  plt.title(f'TR = {1e3*TR} ms')\n",
        "  plt.plot(alpha_deg, Mxy, label=r'$M_{xy}$'+f', T1 = {T1_1}')\n",
        "  plt.plot(alpha_deg, Mxy2, label=r'$M_{xy}$'+f', T1 = {T1_2}')\n",
        "  plt.ylabel('Magnetization [a.u.]')\n",
        "  plt.xlabel(r'Flip angle [$^{\\circ}$]')\n",
        "  plt.xlim([0, 90])\n",
        "  plt.legend()\n",
        "  plt.show()\n",
        "\n",
        "w = interactive(spgr_sim_steady_state, \n",
        "                TR=FloatSlider(min=0.01, max=2., value=0.1, description='TR [s]'),\n",
        "                T1_1=FloatSlider(min=0.1, max=5., value=1, description='T1 [s]'),\n",
        "                T1_2=FloatSlider(min=0.1, max=5., value=0.5, description='T1 [s]'))               \n",
        "display(w)\n"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "interactive(children=(FloatSlider(value=1.0, description='T1 [s]', max=5.0, min=0.1), FloatSlider(value=0.5, d…"
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  ]
}