{ "cells": [ { "cell_type": "markdown", "id": "5486622d-11a0-4101-8fb0-039eceb2c999", "metadata": {}, "source": [ "# Numerical solution of Fick's second law\n", "\n", "Here is an alternative derivation of the PSA diffusion model we have been using, in case you prefer it to the graphical method!\n", "\n", "## Numerical approximation for derivatives" ] }, { "cell_type": "markdown", "id": "aababadb-1672-4192-b113-f5d76b4e30ce", "metadata": {}, "source": [ "Definition of first derivative:\n", "$$\n", "\\frac {d\\phi}{dx} = \\frac{\\text{lim}}{h \\rightarrow 0} \\frac{\\phi (x + h) - \\phi(x)}{h}.\n", "$$\n", "Hence difference formula for first derivative:\n", "$$\n", "\\frac {d\\phi}{dx} \\approx \\frac{\\phi (x + h) - \\phi(x)}{h}.\n", "$$\n", "For the second derivative:\n", "$$\n", "\\frac{d^2\\phi}{dx^2} = \\frac{\\text{lim}}{h \\rightarrow 0} \\frac{1}{h}\\left(\\frac{d\\phi(x + h)}{dx} - \\frac{d\\phi(x)}{dx}\\right)\n", "$$\n", "This gives:\n", "$$\n", "\\begin{align}\n", "\\frac {d^2\\phi}{dx^2} &\\approx \\frac{1}{h}\\left(\\frac{\\phi(x + 2h) - \\phi(x + h)}{h} - \\frac{\\phi(x + h) - \\phi(x)}{h}\\right) \\\\\n", " &\\approx \\frac{\\phi(x + 2h) - 2\\phi(x + h) + \\phi(x)}{h^2}\n", "\\end{align}\n", "$$\n", "Look at some examples:" ] }, { "cell_type": "code", "execution_count": 14, "id": "9714111d-3f42-48d3-9d43-21a2acd68b57", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "#\n", "n = 9\n", "i = np.linspace(0, n - 1, n)\n", "h = 0.5\n", "x = h*i\n", "#\n", "yA = x**4\n", "dyAdx = 4*x**3\n", "d2yAdx2 = 12*x**2\n", "#\n", "yB = np.sin(x)\n", "dyBdx = np.cos(x)\n", "d2yBdx2 = -np.sin(x)\n", "#\n", "# Approximate derivative (y1 - y0)/h\n", "dyAa = (yA[1:n] - yA[0:n - 1])/h\n", "dyBa = (yB[1:n] - yB[0:n - 1])/h\n", "#\n", "# Approximate second derivative (y2 - 2y1 + y0)/h**2\n", "d2yAa = (yA[2:n] - 2*yA[1:n - 1] + yA[0:n - 2])/h**2\n", "d2yBa = (yB[2:n] - 2*yB[1:n - 1] + yB[0:n - 2])/h**2\n", "#\n", "print(\" \")\n", "#\n", "fig = plt.figure(figsize = (5, 6))\n", "#\n", "ax = fig.add_subplot(2, 1, 1)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.grid(color = 'g')\n", "#ax.plot(x, yA, linestyle = '-', c = 'm', label = \"y\")\n", "ax.plot(x, dyAdx, linestyle = '-', c = 'c', label = \"dy/dx\")\n", "ax.plot(x[0:n - 1], dyAa[0: n - 1], linestyle = ':', c = 'b', label = \"dy approx.\")\n", "ax.plot(x, d2yAdx2, linestyle = '-', c = 'r', label = \"$d^2y/dx^2$\")\n", "ax.plot(x[1:n - 1], d2yAa, linestyle = ':', c = 'k', label = \"$d^2y$ approx.\")\n", "ax.legend()\n", "#\n", "ax = fig.add_subplot(2, 1, 2)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.grid(color = 'g')\n", "#ax.plot(x, yB, linestyle = '-', c = 'm', label = \"y\")\n", "ax.plot(x, dyBdx, linestyle = '-', c = 'c', label = \"dy/dx\")\n", "ax.plot(x[0:n - 1], dyBa[0: n - 1], linestyle = ':', c = 'b', label = \"dy approx.\")\n", "ax.plot(x, d2yBdx2, linestyle = '-', c = 'r', label = \"$d^2y/dx^2$\")\n", "ax.plot(x[1:n - 1], d2yBa, linestyle = ':', c = 'k', label = \"$d^2y$ approx.\")\n", "ax.legend()\n", "#\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4ab62da6-287e-41ea-a9d8-f39d62a573f7", "metadata": {}, "source": [ "As can be seen above, the difference formula leads to an offset of the results for the derivative. This can be removed by \"symmetrizing\" the approximation using: \n", "$$\n", "\\frac {d\\phi}{dx} \\approx \\frac{\\phi (x + h) - \\phi(x - h)}{2h}.\n", "$$\n", "For consistency, write the second differential in the same form:\n", "$$\n", "\\frac {d^2\\phi}{dx^2} \\approx \\frac{\\phi(x + h) - 2\\phi(x) + \\phi(x - h)}{h^2}.\n", "$$" ] }, { "cell_type": "code", "execution_count": 15, "id": "63bf0e85-df5a-4423-9cd5-dee4defe4e99", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Date and time 2026-03-25 07:56:23.644429\n", " \n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Date and time 2026-03-25 07:56:23.814813\n", "Time since last check is 0:00:00.170384\n" ] } ], "source": [ "import datetime\n", "now = datetime.datetime.now()\n", "print(\"Date and time\",str(now))\n", "#\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "#\n", "n = 9\n", "i = np.linspace(0, n - 1, n)\n", "h = 0.5\n", "x = h*i\n", "#\n", "yA = x**4\n", "dyAdx = 4*x**3\n", "d2yAdx2 = 12*x**2\n", "#\n", "yB = np.sin(x)\n", "dyBdx = np.cos(x)\n", "d2yBdx2 = -np.sin(x)\n", "#\n", "# \"Symmetrized\" approximate derivative (y2 - y0)/2h\n", "dyAa = (yA[2:n] - yA[0:n - 2])/(2*h)\n", "dyBa = (yB[2:n] - yB[0:n - 2])/(2*h)\n", "#\n", "# Approximate second derivative (y2 - 2y1 + y0)/h**2\n", "d2yAa = (yA[2:n] - 2*yA[1:n - 1] + yA[0:n - 2])/h**2\n", "d2yBa = (yB[2:n] - 2*yB[1:n - 1] + yB[0:n - 2])/h**2\n", "#\n", "xA = x[1:n - 1]\n", "xB = x[1:n - 1]\n", "print(\" \")\n", "#\n", "fig = plt.figure(figsize = (5, 6))\n", "#\n", "ax = fig.add_subplot(2, 1, 1)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.grid(color = 'g')\n", "#ax.plot(x, yA, linestyle = '-', c = 'm', label = \"y\")\n", "ax.plot(x, dyAdx, linestyle = '-', c = 'c', label = \"dy/dx\")\n", "ax.plot(x[1:n - 1], dyAa, linestyle = ':', c = 'b', label = \"dy approx.\")\n", "ax.plot(x, d2yAdx2, linestyle = '-', c = 'r', label = \"$d^2y/dx^2$\")\n", "ax.plot(x[1:n - 1], d2yAa, linestyle = ':', c = 'k', label = \"$d^2y$ approx.\")\n", "ax.legend()\n", "#\n", "ax = fig.add_subplot(2, 1, 2)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.grid(color = 'g')\n", "#ax.plot(x, yB, linestyle = '-', c = 'm', label = \"y\")\n", "ax.plot(x, dyBdx, linestyle = '-', c = 'c', label = \"dy/dx\")\n", "ax.plot(xA, dyBa, linestyle = ':', c = 'b', label = \"dy approx.\")\n", "ax.plot(x, d2yBdx2, linestyle = '-', c = 'r', label = \"$d^2y/dx^2$\")\n", "ax.plot(xB, d2yBa, linestyle = ':', c = 'k', label = \"$d^2y$ approx.\")\n", "ax.legend()\n", "#\n", "plt.tight_layout()\n", "plt.show()\n", "#\n", "then = now\n", "now = datetime.datetime.now()\n", "print(\"\\nDate and time\",str(now))\n", "print(\"Time since last check is\",str(now - then))" ] }, { "cell_type": "markdown", "id": "8990dab8-9776-467c-9aa7-555d5ba8021a", "metadata": {}, "source": [ "Summarising, the (symmetrized) difference formulae are:\n", "$$\n", "d\\phi_i \\approx \\frac{\\phi_{i + 1} - \\phi_{i - 1}}{2h}.\n", "$$\n", "$$\n", "d^2\\phi_i \\approx \\frac{\\phi_{i + 1} - 2\\phi_i + \\phi_{i - 1}}{h^2}.\n", "$$\n", "Look at these again below using smaller step sizes and more steps (and `for` loops)." ] }, { "cell_type": "code", "execution_count": 16, "id": "c3d75129-0e39-4f11-a4b9-8716da95e39c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Date and time 2026-03-25 07:56:24.602501\n", " \n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Date and time 2026-03-25 07:56:24.769105\n", "Time since last check is 0:00:00.166604\n" ] } ], "source": [ "import datetime\n", "now = datetime.datetime.now()\n", "print(\"Date and time\",str(now))\n", "#\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "#\n", "n = 201\n", "i = np.linspace(0, n - 1, n)\n", "h = .05\n", "x = h*i\n", "#\n", "yA = x**4\n", "dyAdx = 4*x**3\n", "d2yAdx2 = 12*x**2\n", "#\n", "yB = np.sin(x)\n", "dyBdx = np.cos(x)\n", "d2yBdx2 = -np.sin(x)\n", "#\n", "# Approximate derivative (y1 - y0)/h\n", "dyAa = np.ones(n)\n", "dyBa = np.ones(n)\n", "#\n", "for i in range(1, n - 1):\n", " dyAa[i] = (yA[i + 1] - yA[i - 1])/(2*h)\n", " dyBa[i] = (yB[i + 1] - yB[i - 1])/(2*h)\n", " #\n", "xA = x[1:n - 1]\n", "xB = x[1:n - 1]\n", "dyAa = dyAa[1:n - 1]\n", "dyBa = dyBa[1:n - 1]\n", "#\n", "# Approximate second derivative (y2 - 2y1 + y0)/h**2\n", "d2yAa = np.zeros(n)\n", "d2yBa = np.zeros(n)\n", "#\n", "for i in range(1, n - 1):\n", " d2yAa[i] = (yA[i + 1] - 2*yA[i] + yA[i - 1])/h**2\n", " d2yBa[i] = (yB[i + 1] - 2*yB[i] + yB[i - 1])/h**2\n", " #\n", "d2yAa = d2yAa[1:n - 1]\n", "d2yBa = d2yBa[1:n - 1]\n", "#\n", "print(\" \")\n", "#\n", "fig = plt.figure(figsize = (5, 6))\n", "#\n", "ax = fig.add_subplot(2, 1, 1)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.grid(color = 'g')\n", "#ax.plot(x, yA, linestyle = '-', c = 'm', label = \"y\")\n", "ax.plot(x, dyAdx, linestyle = '-', c = 'c', label = \"dy/dx\")\n", "ax.plot(xA, dyAa, linestyle = ':', c = 'b', label = \"dy approx.\")\n", "ax.plot(x, d2yAdx2, linestyle = '-', c = 'r', label = \"$d^2y/dx^2$\")\n", "ax.plot(xA, d2yAa, linestyle = ':', c = 'k', label = \"$d^2y$ approx.\")\n", "ax.legend()\n", "#\n", "ax = fig.add_subplot(2, 1, 2)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.grid(color = 'g')\n", "#ax.plot(x, yB, linestyle = '-', c = 'm', label = \"y\")\n", "ax.plot(x, dyBdx, linestyle = '-', c = 'c', label = \"dy/dx\")\n", "ax.plot(xA, dyBa, linestyle = ':', c = 'b', label = \"dy approx.\")\n", "ax.plot(x, d2yBdx2, linestyle = '-', c = 'r', label = \"$d^2y/dx^2$\")\n", "ax.plot(xB, d2yBa, linestyle = ':', c = 'k', label = \"$d^2y$ approx.\")\n", "ax.legend()\n", "#\n", "plt.tight_layout()\n", "plt.show()\n", "#\n", "then = now\n", "now = datetime.datetime.now()\n", "print(\"\\nDate and time\",str(now))\n", "print(\"Time since last check is\",str(now - then))" ] }, { "cell_type": "markdown", "id": "ccd636d6-9889-4766-af14-3ad8eda30de4", "metadata": {}, "source": [ "## Fick's second law\n", "\n", "Now use numerical derivatives to solve Fick's second law:\n", "$$\n", "\\frac{\\partial \\phi}{\\partial t} = D \\frac{\\partial^2 \\phi}{\\partial x^2}.\n", "$$\n", "Writing this as a difference equation, using the symmetrized forms above:\n", "$$\n", "\\frac{\\phi(x_0,t_1) - \\phi(x_0,t_{-1})}{2\\delta t} = D \\frac{\\phi(x_{-1},t_0) - 2\\phi(x_0,t_0) + \\phi(x_2,t_0)}{\\delta x^2}.\n", "$$\n", "Hence:\n", "$$\n", "\\phi(x_0,t_1) = 2\\delta t D \\frac{\\phi(x_{-1},t_0) - 2\\phi(x_0,t_0) + \\phi(x_2,t_0)}{\\delta x^2} + \\phi(x_0,t_{-1}).\n", "$$\n", "Streamlining the notation a little and rearranging:\n", "$$\n", "\\phi_0(t_1)- \\phi_0(t_{-1}) = 2\\delta t D \\frac{\\phi_{-1} - 2\\phi_0 + \\phi_2}{\\delta x^2}.\n", "$$\n", "Writing 2$\\delta \\phi_0 = \\phi_0(t_1)- \\phi_0(t_{-1})$:\n", "$$\n", "\\delta \\phi_0 = \\delta t D \\frac{\\phi_{-1} - 2\\phi_0 + \\phi_1}{\\delta x^2}.\n", "$$\n", "That is, for the $i^\\text{th}$ element:\n", "$$\n", "\\delta \\phi_i = \\delta t \\frac{D}{\\delta x^2} \\left( \\phi_{i - 1} - 2\\phi_i + \\phi_{i + 1} \\right).\n", "$$\n", "Starting from some initial distribution, the subsequent evolution of $\\phi(x, t)$ can be determined.\n", "\n", "Test this for a simple example." ] }, { "cell_type": "code", "execution_count": 17, "id": "c221edf5-e736-4573-9e28-6157f403929a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "D = 45, delta_x = 4.0, delta_t = 0.1\n", "delta_t*D/delta_x**2 = 0.28125\n", "Numerical solution stable if delta_t*D/delta_x**2 < 0.5.\n", " \n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "#\n", "n_x = 101\n", "n_t = 801\n", "i = np.linspace(0, n_x - 1, n_x)\n", "delta_x = 4.0\n", "delta_t = .1\n", "#\n", "D = 45\n", "print(\" \")\n", "print(f\"D = {D}, delta_x = {delta_x}, delta_t = {delta_t}\")\n", "print(f\"delta_t*D/delta_x**2 = {delta_t*D/delta_x**2}\")\n", "print(\"Numerical solution stable if delta_t*D/delta_x**2 < 0.5.\")\n", "#\n", "x = i*delta_x\n", "#\n", "phi = np.zeros(n_x)\n", "#\n", "# Initial concentrations\n", "phi[n_x//4 - 4] = 1.0\n", "phi[n_x//4 - 3] = 1.0\n", "phi[n_x//4 - 2] = 1.0\n", "phi[n_x//4 - 1] = 1.0\n", "phi[n_x//4] = 1.0\n", "phi[n_x//4 + 1] = 1.0\n", "phi[n_x//4 + 2] = 1.0\n", "phi[n_x//4 + 3] = 1.0\n", "phi[n_x//4 + 4] = 1.0\n", "#\n", "phi[3*n_x//4 - 4] = 2.0\n", "phi[3*n_x//4 - 3] = 2.0\n", "phi[3*n_x//4 - 2] = 2.0\n", "phi[3*n_x//4 - 1] = 2.0\n", "phi[3*n_x//4] = 2.0\n", "phi[3*n_x//4 + 1] = 2.0\n", "phi[3*n_x//4 + 2] = 2.0\n", "phi[3*n_x//4 + 3] = 2.0\n", "phi[3*n_x//4 + 4] = 2.0\n", "#\n", "t = np.zeros(n_t)\n", "#\n", "# Set times at which plots of phi made\n", "j_plot = [j*n_t//5 for j in range(0, n_t)]\n", "#\n", "fig = plt.figure(figsize = (6, 4))\n", "#\n", "ax = fig.add_subplot(1, 1, 1)\n", "j = 0\n", "ax.plot(x, phi, linestyle = '-', label = f\"t = {t[j]:.1f}\")\n", "#\n", "delta_phi = np.zeros(n_x)\n", "for j in range(1, n_t):\n", " t[j] = t[j - 1] + delta_t\n", " #\n", " # Calculate change in phi for current time\n", " for i in range(1, n_x - 1):\n", " delta_phi[i] = delta_t*D*(phi[i - 1] - 2*phi[i] + phi[i + 1])/delta_x**2\n", " #\n", " # Update phi\n", " phi += delta_phi\n", " #\n", " # Deal with boundaries (not perfectly!)\n", " phi[0] = phi[1]\n", " phi[n_x - 1] = phi[n_x - 2]\n", " #\n", " if j in j_plot:\n", " ax.plot(x, phi, linestyle = '-', label = f\"t = {t[j]:.1f}\")\n", "#\n", "print(\" \")\n", "ax.set_title(\"Numerical solution of Fick's second law\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"$\\phi$\")\n", "ax.set_yscale(\"log\")\n", "ax.grid(color = 'g')\n", "#\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0ccfd1f0-b173-42e0-8e70-2579b405ce84", "metadata": {}, "source": [ "## Prostate tumour in 1D\n", "\n", "Assuming now that $\\phi$ represents the concentration of PSA in a body, we must allow for the generation of PSA in prostate and tumour cells. If the amount of PSA produced in cell $i$ per unit time is $\\sigma_{i}$, we have\n", "$$\n", "\\delta \\phi_i = \\delta t \\frac{D}{\\delta x^2} \\left( \\phi_{i - 1} - 2\\phi_i + \\phi_{i + 1} \\right) + \\delta t \\sigma_i.\n", "$$\n", "The (effective) rate of generation of PSA is different in different cell types. (Prostate cancer cells transfer more PSA into their surroundings than do healthy prostate cells, though this may be due more to increased leakiness than actual increased PSA production!)\n", "\n", "A further necessary component of the model is PSA decay. Adding this, with a lifetime of $\\tau$, the above equation becomes:\n", "$$\n", "\\delta \\phi_i = \\delta t \\left(\\frac{D}{\\delta x^2} \\left( \\phi_{i - 1} - 2\\phi_i + \\phi_{i + 1} \\right) + \n", " \\sigma_i - \\frac{\\phi_i}{\\tau} \\right).\n", "$$\n", "The lifetime is different in tumour and prostate cells and in the blood stream.\n", "\n", "Look at a 1D model of a prostate containing a tumour." ] }, { "cell_type": "code", "execution_count": 18, "id": "cbf04386-f0b9-4b91-989b-0dba978c325b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "D = 45, delta_x = 4.0, delta_t = 0.15\n", "delta_t*D/delta_x**2 = 0.421875\n", "Numerical solution stable if delta_t*D/delta_x**2 < 0.5.\n", " \n", "Prostate cells [33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52]\n", "Tumour cells [38 39 40 41 42 43 44]\n", " \n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "#\n", "n_x = 101\n", "n_t = 801\n", "i = np.linspace(0, n_x - 1, n_x)\n", "delta_x = 4.0\n", "delta_t = 0.15\n", "#\n", "D = 45\n", "print(\" \")\n", "print(f\"D = {D}, delta_x = {delta_x}, delta_t = {delta_t}\")\n", "print(f\"delta_t*D/delta_x**2 = {delta_t*D/delta_x**2}\")\n", "print(\"Numerical solution stable if delta_t*D/delta_x**2 < 0.5.\")\n", "#\n", "x = i*delta_x\n", "#\n", "# PSA lifetime\n", "tau = 20.0\n", "tau_prostate = 40.0\n", "tau_tumour = 40.0\n", "#\n", "# PSA production rate prostate\n", "sigma_prostate = 1\n", "#\n", "# PSA production rate tumour\n", "sigma_tumour = 1\n", "#\n", "phi = np.zeros(n_x)\n", "#\n", "# Define tuour and prostate regions and set initial PSA concentrations\n", "# Prostate\n", "i_prostate = np.array([i for i in range(n_x//3, n_x//3 + 20)]).astype(int)\n", "phi[i_prostate] = 1.0\n", "#\n", "# Tumour\n", "i_tumour = np.array([i for i in range(n_x//3 + 5, n_x//3 + 12)]).astype(int)\n", "phi[i_tumour] = 2.0\n", "print(\" \")\n", "print(\"Prostate cells\",i_prostate)\n", "print(\"Tumour cells\",i_tumour)\n", "#\n", "t = np.zeros(n_t)\n", "#\n", "# Set times at which plots of phi made\n", "j_plot = [j*n_t//5 for j in range(0, n_t)]\n", "#\n", "fig = plt.figure(figsize = (6, 4))\n", "#\n", "ax = fig.add_subplot(1, 1, 1)\n", "j = 0\n", "ax.plot(x, phi, linestyle = '-', label = f\"t = {t[j]:.1f}\")\n", "#\n", "delta_phi = np.zeros(n_x)\n", "for j in range(1, n_t):\n", " t[j] = t[j - 1] + delta_t\n", " #\n", " # Calculate change in phi for current time\n", " for i in range(1, n_x - 1):\n", " delta_phi[i] = delta_t*D*(phi[i - 1] - 2*phi[i] + phi[i + 1])/delta_x**2\n", " #\n", " # Make PSA in tumour\n", " if i in i_tumour: \n", " delta_phi[i] += sigma_tumour*delta_t\n", " #\n", " # Make PSA in prostate\n", " elif i in i_prostate: \n", " delta_phi[i] += sigma_prostate*delta_t\n", " #\n", " # Remove PSA in tumour\n", " if i in i_tumour: \n", " delta_phi[i] -= phi[i]*delta_t/tau_tumour\n", " #\n", " # Remove PSA in prostate\n", " elif i in i_prostate: \n", " delta_phi[i] -= phi[i]*delta_t/tau_prostate\n", " #\n", " # Remove PSA elsewhere\n", " else: \n", " delta_phi[i] -= phi[i]*delta_t/tau\n", " #\n", " # Update phi\n", " phi += delta_phi\n", " #\n", " # Deal with boundaries (but not perfectly!)\n", " phi[0] = phi[1]\n", " phi[n_x - 1] = phi[n_x - 2]\n", " #\n", " if j in j_plot:\n", " ax.plot(x, phi, linestyle = '-', label = f\"t = {t[j]:.1f}\")\n", "#\n", "print(\" \")\n", "ax.set_title(\"PSA levels in 1D prostate tumour\")\n", "ax.plot(delta_x*i_prostate, 0.3*np.ones(len(i_prostate)), \n", " linestyle = '-', linewidth = 4, c = 'b',label = f\"Prostate\")\n", "ax.plot(delta_x*i_tumour, 0.3*np.ones(len(i_tumour)), \n", " linestyle = '-', linewidth = 8, c = 'r',label = f\"Tumour\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"$\\phi$\")\n", "ax.set_yscale(\"log\")\n", "ax.grid(color = 'g')\n", "#\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "58d271f0-345b-469d-9876-83e8b9781f1f", "metadata": {}, "source": [ "## Prostate tumour in 3D\n", "\n", "Extending to three dimensions, Ficks second law is:\n", "$$\n", "\\frac{\\partial \\phi}{\\partial t} = D \\left(\\frac{\\partial^2\\phi}{\\partial x^2}+\\frac{\\partial^2\\phi}{\\partial y^2}+\\frac{\\partial^2\\phi}{\\partial z^2}\\right).\n", "$$\n", "The corresponding difference equation is:\n", "$$\n", "\\delta \\phi_{i,j,k} = \\delta t D \\left( \\frac{\\phi_{i-1,j,k} - 2\\phi_{i,j,k} + \\phi_{i+1,j,k}}{\\delta x^{2}}+ \\frac{\\phi_{i,j-1,k} - 2\\phi_{i,j,k} + \\phi_{i,j+1,k}}{\\delta y^{2}}+ \\frac{\\phi_{i,j,k-1} - 2\\phi_{i,j,k} + \\phi_{1,j,k+1}}{\\delta z^{2}}\\right)\n", "$$\n", "Setting $\\delta x = \\delta y = \\delta z = h$:\n", "$$\n", "\\begin{align}\n", "\\delta \\phi_{i,j,k} &= \\delta t\\frac{D}{h^2}\\left(\\phi_{i-1,j,k} - 2\\phi_{i,j,k} + \\phi_{i+1,j,k} + \\phi_{i,j-1,k} - 2\\phi_{i,j,k} + \\phi_{i,j+1,k}+ \\phi_{i,j,k-1} - 2\\phi_{i,j,k} + \\phi_{1,j,k+1}\\right)\\\\\n", "&= \\delta t\\frac{D}{h^2}\\left(\\phi_{i-1,j,k} + \\phi_{i+1,j,k} + \\phi_{i,j-1,k} + \\phi_{i,j+1,k} + \\phi_{i,j,k-1} + \\phi_{1,j,k+1}- 6\\phi_{i,j,k} \\right)\n", "\\end{align}\n", "$$\n", "Allowing for the generation of PSA in the cells, where $\\sigma_{i,j,k}$ is the amount of PSA produced in cell ($i, j, k$) per unit time, we have:\n", "$$\n", "\\delta \\phi_{i,j,k} = \\delta t\\frac{D}{h^2}\\left(\\phi_{i-1,j,k} + \\phi_{i+1,j,k} + \\phi_{i,j-1,k} + \\phi_{i,j+1,k} + \\phi_{i,j,k-1} + \\phi_{1,j,k+1}- 6\\phi_{i,j,k}\\right)+\\delta_t\\sigma_{i,j,k}\n", "$$\n", "Adding PSA decay, with a lifetime of $\\tau$, the above equation becomes:\n", "$$\n", "\\delta \\phi_{i,j,k} = \\delta t\\left(\\frac{D}{h^2}\\left(\\phi_{i-1,j,k} + \\phi_{i+1,j,k} + \\phi_{i,j-1,k} + \\phi_{i,j+1,k} + \\phi_{i,j,k-1} + \\phi_{1,j,k+1}- 6\\phi_{i,j,k}\\right)+ \\sigma_{i,j,k}-\\frac{\\phi_{i,j,k}}{\\tau}\\right)\n", "$$\n", "This is the result we are using in the PSA diffucion model." ] }, { "cell_type": "code", "execution_count": null, "id": "d6f345ac-5720-488a-9eee-bdac2dab679d", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:base] *", "language": "python", "name": "conda-base-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.11" } }, "nbformat": 4, "nbformat_minor": 5 }