{ "metadata": { "name": "", "signature": "sha256:fdc331205bfbf3eba72f5349df04314e46f1e320d44b90d13d98e5b1df678990" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Parameter estimation for differential equations: A generalized smoothing approach\n", " Ramsay, J. O., Hooker, G., Campbell, D., Cao, J., 2007, doi: 10.1111/j.1467-9868.2007.00610.x\n", "\n", "## The FitzHugh-Nagumo neural spike potential equations\n", "\n", "$$\n", "\\frac{dV}{dt} = c \\Big( V - \\frac{V^3}{3}+R \\Big) + u(t) \\\\\n", "\\frac{dR}{dt} = -\\frac{1}{c} (V -a +bR)\n", "$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import odespy\n", "import seaborn as sns\n", "sns.set_style('white')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "def dydt(y,t,a,b,c,u):\n", " V,R = y\n", " dVdt = c*(V-V**3/3+R)+u(t)\n", " dRdt = -(V-a+b*R)/c\n", " return dVdt, dRdt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "a,b,c = 0.2,0.2,3." ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "print odespy.list_available_solvers()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "['AdamsBashMoulton2', 'AdamsBashMoulton3', 'AdamsBashforth2', 'AdamsBashforth3', 'AdamsBashforth4', 'Backward2Step', 'BackwardEuler', 'BogackiShampine', 'CashKarp', 'CrankNicolson', 'Dop853', 'Dopri5', 'DormandPrince', 'Euler', 'EulerCromer', 'Fehlberg', 'ForwardEuler', 'Heun', 'Leapfrog', 'LeapfrogFiltered', 'Lsoda', 'Lsodar', 'Lsode', 'Lsodes', 'Lsodi', 'Lsodis', 'Lsoibt', 'MidpointImplicit', 'MidpointIter', 'RK2', 'RK3', 'RK4', 'RKC', 'RKF45', 'RKFehlberg', 'Radau5', 'Radau5Explicit', 'Radau5Implicit', 'RungeKutta1', 'RungeKutta2', 'RungeKutta3', 'RungeKutta4', 'ThetaRule', 'Trapezoidal', 'Vode', 'lsoda_scipy', 'odefun_sympy']\n" ] } ], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "solver = odespy.Lsode(dydt, f_args=(a,b,c,lambda t: 0))\n", "solver.set_initial_condition((0.,0.))\n", "y,t = solver.solve(np.linspace(0,50))\n", "plot(t,y)\n", "xlabel('t')\n", "ylabel('y')\n", "legend(labels=['Voltage','Recovery']);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9QzNLTgqmaiUctqzYY7duqmZtQwkHTvXy0eleo5aWUaih/nxHNnWV+dx1fT2XBly8+F6b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\nT0OgjpvTd2xzoMvNA1u4hoNZMZiowBUtcTVqIUcaDrGSiDC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X9snI+MX3Ws+2niBt6FLL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\nb87u791sH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