{ "cells": [ { "cell_type": "markdown", "metadata": { "input_collapsed": false }, "source": [ "# Muscle simulation\n", "\n", "> Marcos Duarte, Renato Watanabe \n", "> [Laboratory of Biomechanics and Motor Control](http://pesquisa.ufabc.edu.br/bmclab) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": { "toc": true }, "source": [ "

Contents

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's simulate the 3-component Hill-type muscle model we described in [Muscle modeling](http://nbviewer.ipython.org/github/demotu/BMC/blob/master/notebooks/MuscleModeling.ipynb) and illustrated below:\n", "

\n", "
\n", " \"Hill-type
Figure. A Hill-type muscle model with three components: two for the muscle, an active contractile element, $\\mathsf{CE}$, and a passive elastic element in parallel, $\\mathsf{PE}$, with the $\\mathsf{CE}$, and one component for the tendon, an elastic element in series, $\\mathsf{SE}$, with the muscle. $\\mathsf{L_{MT}}$: muscle–tendon length, $\\mathsf{L_T}$: tendon length, $\\mathsf{L_M}$: muscle fiber length, $\\mathsf{F_T}$: tendon force, $\\mathsf{F_M}$: muscle force, and $α$: pennation angle.
\n", "
\n", "

\n", "The following relationships are true for the model:\n", "\n", "\\begin{equation}\n", "\\begin{array}{l}\n", "L_{MT} = L_{T} + L_M\\cos\\alpha \\\\\n", "\\\\\n", "L_M = L_{CE} = L_{PE} \\\\\n", "\\\\\n", "\\dot{L}_M = \\dot{L}_{CE} = \\dot{L}_{PE} \\\\\n", "\\\\\n", "F_{M} = F_{CE} + F_{PE} \n", "\\end{array}\n", "\\label{}\n", "\\end{equation}\n", "\n", "If we assume that the muscle–tendon system is at equilibrium, that is, muscle, $F_{M}$, and tendon, $F_{T}$, forces are in equilibrium at all times, the following equation holds (and that a muscle can only pull):\n", "\n", "\\begin{equation}\n", "F_{T} = F_{SE} = F_{M}\\cos\\alpha\n", "\\label{}\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pennation angle\n", "\n", "The pennation angle will vary during muscle activation; for instance, Kawakami et al. (1998) showed that the pennation angle of the medial gastrocnemius muscle can vary from 22$^o$ to 67$^o$ during activation. The most used approach is to assume that the muscle width (defined as the length of the perpendicular line between the lines of the muscle origin and insertion) remains constant (Scott & Winter, 1991):\n", "\n", "\\begin{equation}\n", "w = L_{M,0} \\sin\\alpha_0\n", "\\label{}\n", "\\end{equation}\n", "\n", "The pennation angle as a function of time will be given by:\n", "\n", "\\begin{equation}\n", "\\alpha = \\sin^{-1} \\left(\\dfrac{w}{L_M}\\right)\n", "\\label{}\n", "\\end{equation}\n", "\n", "The cosine of the pennation angle can be given by (if $L_M$ is known):\n", "\n", "\\begin{equation}\n", "\\cos \\alpha = \\dfrac{\\sqrt{L_M^2-w^2}}{L_M} = \\sqrt{1-\\left(\\dfrac{w}{L_M}\\right)^2}\n", "\\label{}\n", "\\end{equation}\n", "\n", "or (if $L_M$ is not known):\n", "\n", "\\begin{equation}\n", "\\cos \\alpha = \\dfrac{L_{MT}-L_T}{L_M} = \\dfrac{1}{\\sqrt{1 + \\left(\\dfrac{w}{L_{MT}-L_T}\\right)^2}}\n", "\\label{}\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Muscle force\n", "\n", "In general, the dependence of the force of the contractile element with its length and velocity and with the activation level are assumed independent of each other:\n", "\n", "\\begin{equation}\n", "F_{CE}(a, L_{CE}, \\dot{L}_{CE}) = a \\: f_l(L_{CE}) \\: f_v(\\dot{L}_{CE}) \\: F_{M0}\n", "\\label{}\n", "\\end{equation}\n", "\n", "where $f_l(L_M)$ and $f_v(\\dot{L}_M)$ are mathematical functions describing the force-length and force-velocity relationships of the contractile element (typically these functions are normalized by $F_{M0}$, the maximum isometric (at zero velocity) muscle force, so we have to multiply the right side of the equation by $F_{M0}$). \n", "\n", "And for the muscle force:\n", "\n", "\\begin{equation}\n", "F_{M}(a, L_M, \\dot{L}_M) = \\left[a \\: f_l(L_M)f_v(\\dot{L}_M) + F_{PE}(L_M)\\right]F_{M0}\n", "\\label{}\n", "\\end{equation}\n", "\n", "This equation for the muscle force, with $a$, $L_{M}$, and $\\dot{L}_{M}$ as state variables, can be used to simulate the dynamics of a muscle given an excitation and determine the muscle force and length. We can rearrange the equation, invert the expression for $f_v$, and integrate the resulting first-order ordinary differential equation (ODE) to obatin $L_M$:\n", "\n", "\\begin{equation}\n", "\\dot{L}_M = f_v^{-1}\\left(\\dfrac{F_{SE}(L_{MT}-L_M\\cos\\alpha)/\\cos\\alpha - F_{PE}(L_M)}{a f_l(L_M)}\\right)\n", "\\label{}\n", "\\end{equation}\n", "\n", "This approach is the most commonly employed in the literature (see for example, [OpenSim](http://simtk-confluence.stanford.edu:8080/display/OpenSim/Muscle+Model+Theory+and+Publications); McLean, Su, van den Bogert, 2003; Thelen, 2003; Nigg and Herzog, 2007). \n", "\n", "Although the equation for the muscle force doesn't have numerical singularities, the differential equation for muscle velocity has four ([OpenSim Millard 2012 Muscle Models](http://simtk-confluence.stanford.edu:8080/display/OpenSim/Millard+2012+Muscle+Models)): \n", "When $a \\rightarrow 0$; when $f_l(L_M) \\rightarrow 0$; when $\\alpha \\rightarrow \\pi/2$; and when $\\partial f_v/\\partial v \\rightarrow 0 $. \n", "The following solutions can be employed to avoid the numerical singularities ([OpenSim Millard 2012 Muscle Models](http://simtk-confluence.stanford.edu:8080/display/OpenSim/Millard+2012+Muscle+Models)): \n", " - A minimum value for $a$; e.g., $a_{min}=0.01$; \n", " - A minimum value for $f_l(L_M)$; e.g., $f_l(0.1)$; \n", " - A maximum value for pennation angle; e.g., constrain $\\alpha$ to $\\cos\\alpha > 0.1; (\\alpha < 84.26^o)$; \n", " - Make the slope of $f_V$ at and beyond maximum velocity different than zero (for both concentric and eccentric activations). \n", "\n", "We will adopt these solutions to avoid singularities in the simulation of muscle mechanics. A problem of imposing values to variables as described above is that we can make the ordinary differential equation numerically stiff, which will increase the computational cost of the numerical integration. A better solution would be to modify the model to not have these singularities (see [OpenSim Millard 2012 Muscle Models](http://simtk-confluence.stanford.edu:8080/display/OpenSim/Millard+2012+Muscle+Models)). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulation\n", "\n", "Let's simulate muscle dynamics using the Thelen2003Muscle model we defined in [Muscle modeling](http://nbviewer.ipython.org/github/demotu/BMC/blob/master/notebooks/MuscleModeling.ipynb). For the simulation of the Thelen2003Muscle, we simply have to integrate the equation:\n", "\n", "\\begin{equation}\n", "V_M = (0.25+0.75a)\\,V_{Mmax}\\frac{\\bar{F}_M-a\\bar{f}_{l,CE}}{b}\n", "\\label{}\n", "\\end{equation}\n", "\n", "where\n", "\n", "\\begin{equation} \n", "b = \\left\\{ \n", " \\begin{array}{l l l}\n", " a\\bar{f}_{l,CE} + \\bar{F}_M/A_f \\quad & \\text{if} \\quad \\bar{F}_M \\leq a\\bar{f}_{l,CE} & \\text{(shortening)} \\\\\n", " \\\\\n", " \\dfrac{(2+2/A_f)(a\\bar{f}_{l,CE}\\bar{f}_{CEmax} - \\bar{F}_M)}{\\bar{f}_{CEmax}-1} \\quad & \\text{if} \\quad \\bar{F}_M > a\\bar{f}_{l,CE} & \\text{(lengthening)} \n", "\\end{array} \\right.\n", "\\label{}\n", "\\end{equation}\n", "\n", "The equation above already contains the terms for actvation, $a$, and force-length dependence, $\\bar{f}_{l,CE}$. The equation is too complicated for solving analytically, we will solve it by numerical integration using the [`scipy.integrate.ode`](http://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.integrate.ode.html) class of numeric integrators, particularly the `dopri5`, an explicit runge-kutta method of order (4)5 due to Dormand and Prince (a.k.a. ode45 in Matlab). We could run a simulation using [OpenSim](https://simtk.org/home/opensim); it would be faster, but for fun, let's program in Python. All the necessary functions for the Thelen2003Muscle model described in [Muscle modeling](http://nbviewer.ipython.org/github/demotu/BMC/blob/master/notebooks/MuscleModeling.ipynb) were grouped in one file (module), `muscles.py`. Besides these functions, the module `muscles.py` contains a function for the muscle velocity, `vm_eq`, which will be called by the function that specifies the numerical integration, `lm_sol`; a standard way of performing numerical integration in scientific computing:\n", "\n", "```python \n", "def vm_eq(self, t, lm, lm0, lmt0, lmopt, ltslack, alpha0, vmmax, fm0):\n", " \"\"\"Equation for muscle velocity.\"\"\"\n", " if lm < 0.1*lmopt:\n", " lm = 0.1*lmopt \n", " a = self.activation(t)\n", " lmt = self.lmt_eq(t, lmt0)\n", " alpha = self.penn_ang(lmt=lmt, lm=lm, lm0=lm0, alpha0=alpha0)\n", " lt = lmt - lm*np.cos(alpha)\n", " fse = self.force_se(lt=lt, ltslack=ltslack)\n", " fpe = self.force_pe(lm=lm/lmopt)\n", " fl = self.force_l(lm=lm/lmopt)\n", " fce_t = fse/np.cos(alpha) - fpe\n", " vm = self.velo_fm(fm=fce_t, a=a, fl=fl)\n", " return vm\n", "\n", "def lm_sol(self, fun, t0, t1, lm0, lmt0, ltslack, lmopt, alpha0, vmmax, fm0, show, axs):\n", " \"\"\"Runge-Kutta (4)5 ODE solver for muscle length.\"\"\"\n", " if fun is None:\n", " fun = self.vm_eq\n", " f = ode(fun).set_integrator('dopri5', nsteps=1, max_step=0.005, atol=1e-8) \n", " f.set_initial_value(lm0, t0).set_f_params(lm0, lmt0, lmopt, ltslack, alpha0, vmmax, fm0)\n", " # suppress Fortran warning\n", " warnings.filterwarnings(\"ignore\", category=UserWarning)\n", " data = []\n", " while f.t < t1:\n", " f.integrate(t1, step=True)\n", " d = self.calc_data(f.t, f.y[0], lm0, lmt0, ltslack, lmopt, alpha0, fm0)\n", " data.append(d)\n", " warnings.resetwarnings()\n", " data = np.array(data)\n", " self.lm_data = data\n", " if show:\n", " self.lm_plot(data, axs)\n", " return data\n", "```\n", "\n", "`muscles.py` also contains some auxiliary functions for entering data and for plotting the results. Let's import the necessary Python libraries and customize the environment in order to run some simulations using `muscles.py`:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:15.284217Z", "start_time": "2021-07-16T02:06:15.089165Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['lines.linewidth'] = 2\n", "matplotlib.rcParams['font.size'] = 12\n", "matplotlib.rcParams['lines.markersize'] = 4\n", "matplotlib.rc('axes', grid=True, labelsize=12, titlesize=13, ymargin=0.01)\n", "matplotlib.rc('legend', numpoints=1, fontsize=10)\n", "\n", "# import the muscles.py module\n", "import sys\n", "sys.path.insert(1, r'./../functions')\n", "import muscles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `muscles.py` module contains the class `Thelen2003()` which has the functions we want to use. For such, we need to create an instance of this class:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:15.400995Z", "start_time": "2021-07-16T02:06:15.398915Z" } }, "outputs": [], "source": [ "ms = muscles.Thelen2003()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we need to enter the parameters and states for the simulation: we can load files with these values or enter as input parameters when calling the function (method) '`set_parameters()`' and '`set_states()`'. If nothing if inputed, these methods assume that the parameters and states are stored in the files '`muscle_parameter.txt`' and '`muscle_state.txt`' inside the directory '`./../data/`'. Let's use some of the parameters and states from an exercise of the chapter 4 of Nigg and Herzog (2006)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:15.692148Z", "start_time": "2021-07-16T02:06:15.689363Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The parameters were successfully loaded and are stored in the variable P.\n", "The states were successfully loaded and are stored in the variable S.\n" ] } ], "source": [ "ms.set_parameters()\n", "ms.set_states()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the parameters and states:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:15.989482Z", "start_time": "2021-07-16T02:06:15.986794Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameters:\n", " {'id': '', 'name': '', 'u_max': 1.0, 'u_min': 0.01, 't_act': 0.015, 't_deact': 0.05, 'lmopt': 0.093, 'alpha0': 0.0, 'fm0': 7400.0, 'gammal': 0.45, 'kpe': 5.0, 'epsm0': 0.6, 'vmmax': 10.0, 'fmlen': 1.4, 'af': 0.25, 'ltslack': 0.223, 'epst0': 0.04, 'kttoe': 3.0}\n", "States:\n", " {'id': '', 'name': '', 'lmt0': 0.31, 'lm0': 0.087, 'lt0': 0.223}\n" ] } ], "source": [ "print('Parameters:\\n', ms.P)\n", "print('States:\\n', ms.S)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the muscle-tendon forces considering these parameters and initial states:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:16.506916Z", "start_time": "2021-07-16T02:06:16.281319Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ms.muscle_plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's simulate an isometric activation (and since we didn't enter an activation level, $a=1$ will be used):" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:16.630299Z", "start_time": "2021-07-16T02:06:16.627617Z" } }, "outputs": [], "source": [ "def lmt_eq(t, lmt0):\n", " # isometric activation\n", "\n", " lmt = lmt0\n", "\n", " return lmt\n", "\n", "ms.lmt_eq = lmt_eq" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:16.916813Z", "start_time": "2021-07-16T02:06:16.632241Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = ms.lm_sol()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can input a prescribed muscle-tendon length for the simulation:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:16.978635Z", "start_time": "2021-07-16T02:06:16.975693Z" } }, "outputs": [], "source": [ "def lmt_eq(t, lmt0):\n", " # prescribed change in the muscle-tendon length\n", "\n", " if t < 1:\n", " lmt = lmt0\n", " if 1 <= t < 2:\n", " lmt = lmt0 - 0.04*(t - 1)\n", " if t >= 2:\n", " lmt = lmt0 - 0.04\n", "\n", " return lmt\n", "\n", "ms.lmt_eq = lmt_eq" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:17.329555Z", "start_time": "2021-07-16T02:06:16.979669Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = ms.lm_sol()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's simulate a pennated muscle with an angle of $30^o$. We don't need to enter all parameters again, we can change only the parameter `alpha0`:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:17.332967Z", "start_time": "2021-07-16T02:06:17.330419Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New initial pennation angle: 0.5235987755982988\n" ] } ], "source": [ "ms.P['alpha0'] = 30*np.pi/180\n", "print('New initial pennation angle:', ms.P['alpha0'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because the muscle length is now shortened by $\\cos(30^o)$, we will also have to change the initial muscle-tendon length if we want to start with the tendon at its slack length:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:17.581364Z", "start_time": "2021-07-16T02:06:17.578209Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New initial muscle-tendon length: 0.29834421012924617\n" ] } ], "source": [ "ms.S['lmt0'] = ms.S['lmt0'] - ms.S['lm0'] + ms.S['lm0']*np.cos(ms.P['alpha0'])\n", "print('New initial muscle-tendon length:', ms.S['lmt0'])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:17.911491Z", "start_time": "2021-07-16T02:06:17.582364Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = ms.lm_sol()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is a plot of the simulated pennation angle:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:17.928968Z", "start_time": "2021-07-16T02:06:17.912367Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7, 4))\n", "plt.plot(data[:, 0], data[:, 9]*180/np.pi)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel(r'Pennation angle $(^o)$')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Change back to the old values:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:18.184067Z", "start_time": "2021-07-16T02:06:18.181385Z" } }, "outputs": [], "source": [ "ms.P['alpha0'] = 0\n", "ms.S['lmt0'] = 0.313" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can change the initial states to show the role of the passive parallel element:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:18.477790Z", "start_time": "2021-07-16T02:06:18.474964Z" } }, "outputs": [], "source": [ "ms.S = {'id': '', 'lt0': np.nan, 'lmt0': 0.323, 'lm0': 0.10, 'name': ''}" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:18.577075Z", "start_time": "2021-07-16T02:06:18.478745Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ms.muscle_plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's also change the excitation signal:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:18.784415Z", "start_time": "2021-07-16T02:06:18.780831Z" } }, "outputs": [], "source": [ "def excitation(t, u_max=1, u_min=0.01, t0=1, t1=2):\n", " \"\"\"Excitation signal, a hat signal.\"\"\"\n", " u = u_min\n", " if t >= t0 and t <= t1:\n", " u = u_max\n", " return u\n", "\n", "ms.excitation = excitation" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:18.850920Z", "start_time": "2021-07-16T02:06:18.785345Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "act = ms.activation_sol()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And let's simulate an isometric contraction:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:19.100595Z", "start_time": "2021-07-16T02:06:19.097286Z" } }, "outputs": [], "source": [ "def lmt_eq(t, lmt0):\n", " # isometric activation\n", " \n", " lmt = lmt0\n", " \n", " return lmt\n", "\n", "ms.lmt_eq = lmt_eq" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:19.497378Z", "start_time": "2021-07-16T02:06:19.101977Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = ms.lm_sol()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use as excitation a train of pulses:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:19.504600Z", "start_time": "2021-07-16T02:06:19.498710Z" } }, "outputs": [], "source": [ "def excitation(t, u_max=.5, u_min=0.01, t0=.2, t1=2):\n", " \"\"\"Excitation signal, a train of square pulses.\"\"\"\n", " \n", " u = u_min\n", " ts = np.arange(1, 2.0, .1)\n", " #ts = np.delete(ts, np.arange(2, ts.size, 3))\n", " if t >= ts[0] and t <= ts[1]:\n", " u = u_max\n", " elif t >= ts[2] and t <= ts[3]:\n", " u = u_max\n", " elif t >= ts[4] and t <= ts[5]:\n", " u = u_max\n", " elif t >= ts[6] and t <= ts[7]:\n", " u = u_max\n", " elif t >= ts[8] and t <= ts[9]:\n", " u = u_max\n", "\n", " return u\n", "\n", "ms.excitation = excitation" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:19.610033Z", "start_time": "2021-07-16T02:06:19.505628Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "act = ms.activation_sol()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:19.981411Z", "start_time": "2021-07-16T02:06:19.611429Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = ms.lm_sol()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "- Kawakami Y, Ichinose Y, Fukunaga T (1998) [Architectural and functional features of human triceps surae muscles during contraction](http://www.ncbi.nlm.nih.gov/pubmed/9688711). Journal of Applied Physiology, 85, 398–404. \n", "- McLean SG, Su A, van den Bogert AJ (2003) [Development and validation of a 3-D model to predict knee joint loading during dynamic movement](http://www.ncbi.nlm.nih.gov/pubmed/14986412). Journal of Biomechanical Engineering, 125, 864-74. \n", "- Nigg BM and Herzog W (2006) [Biomechanics of the Musculo-skeletal System](https://books.google.com.br/books?id=hOIeAQAAIAAJ&dq=editions:ISBN0470017678). 3rd Edition. Wiley. \n", "- Scott SH, Winter DA (1991) [A comparison of three muscle pennation assumptions and their effect on isometric and isotonic force](http://www.ncbi.nlm.nih.gov/pubmed/2037616). Journal of Biomechanics, 24, 163–167. \n", "- Thelen DG (2003) [Adjustment of muscle mechanics model parameters to simulate dynamic contractions in older adults](http://homepages.cae.wisc.edu/~thelen/pubs/jbme03.pdf). Journal of Biomechanical Engineering, 125(1):70–77. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Module muscles.py" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T02:06:20.097495Z", "start_time": "2021-07-16T02:06:20.045416Z" } }, "outputs": [], "source": [ "# %load ./../functions/muscles.py\n", "\"\"\"Muscle modeling and simulation.\"\"\"\n", "\n", "import numpy as np\n", "from scipy.integrate import ode\n", "import warnings\n", "import configparser\n", "\n", "\n", "__author__ = 'Marcos Duarte, https://github.com/BMClab/BMC'\n", "__version__ = 'muscles.py v.1.02 2022/08/15'\n", "\n", "\n", "class Thelen2003():\n", " \"\"\" Thelen (2003) muscle model.\n", " \"\"\"\n", "\n", " def __init__(self, parameters=None, states=None):\n", " if parameters is not None:\n", " self.set_parameters(parameters)\n", " if states is not None:\n", " self.set_states(states)\n", "\n", " self.lm_data = []\n", " self.act_data = []\n", "\n", "\n", " def set_parameters(self, var=None):\n", " \"\"\"Load and set parameters for the muscle model.\n", " \"\"\"\n", " if var is None:\n", " var = './../data/muscle_parameter.txt'\n", " if isinstance(var, str):\n", " self.P = self.config_parser(var, 'parameters')\n", " elif isinstance(var, dict):\n", " self.P = var\n", " else:\n", " raise ValueError('Wrong parameters!')\n", "\n", " print('The parameters were successfully loaded ' +\n", " 'and are stored in the variable P.')\n", "\n", "\n", " def set_states(self, var=None):\n", " \"\"\"Load and set states for the muscle model.\n", " \"\"\"\n", " if var is None:\n", " var = './../data/muscle_state.txt'\n", " if isinstance(var, str):\n", " self.S = self.config_parser(var, 'states')\n", " elif isinstance(var, dict):\n", " self.S = var\n", " else:\n", " raise ValueError('Wrong states!')\n", "\n", " print('The states were successfully loaded ' +\n", " 'and are stored in the variable S.')\n", "\n", "\n", " def config_parser(self, filename, var):\n", " \"\"\"\n", " \"\"\"\n", " parser = configparser.ConfigParser()\n", " parser.optionxform = str # make option names case sensitive\n", " parser.read(filename)\n", " if not parser:\n", " raise ValueError(f'File {var} not found!')\n", " #if not 'Muscle' in parser.sections()[0]:\n", " # raise ValueError(f'Wrong {var} file!')\n", " var = {}\n", " for key, value in parser.items(parser.sections()[0]):\n", " if key.lower() in ['name', 'id']:\n", " var.update({key: value})\n", " else:\n", " try:\n", " value = float(value)\n", " except ValueError:\n", " print(f'{key} value {value} was replaced by NaN.')\n", " value = np.nan\n", " var.update({key: value})\n", "\n", " return var\n", "\n", "\n", " def force_l(self, lm, gammal=None):\n", " \"\"\"Thelen (2003) force of the contractile element vs. muscle length.\n", "\n", " Parameters\n", " lm : float\n", " normalized muscle fiber length\n", " gammal : float, optional (default from parameter file)\n", " shape factor\n", " Returns\n", " fl : float\n", " normalized force of the muscle contractile element\n", " \"\"\"\n", "\n", " if gammal is None: gammal = self.P['gammal']\n", " fl = np.exp(-(lm-1)**2/gammal)\n", " return fl\n", "\n", "\n", " def force_pe(self, lm, kpe=None, epsm0=None):\n", " \"\"\"Thelen (2003) force of the muscle parallel element vs. muscle length.\n", "\n", " Parameters\n", " lm : float\n", " normalized muscle fiber length\n", " kpe : float, optional (default from parameter file)\n", " exponential shape factor\n", " epsm0 : float, optional (default from parameter file)\n", " passive muscle strain due to maximum isometric force\n", " Returns\n", " fpe : float\n", " normalized force of the muscle parallel (passive) element\n", " \"\"\"\n", "\n", " if kpe is None: kpe = self.P['kpe']\n", " if epsm0 is None: epsm0 = self.P['epsm0']\n", "\n", " if lm <= 1:\n", " fpe = 0\n", " else:\n", " fpe = (np.exp(kpe*(lm-1)/epsm0)-1)/(np.exp(kpe)-1)\n", "\n", " return fpe\n", "\n", "\n", " def force_se(self, lt, ltslack=None, epst0=None, kttoe=None):\n", " \"\"\"Thelen (2003) force-length relationship of tendon vs. tendon length.\n", "\n", " Parameters\n", " lt : float\n", " tendon length (normalized or not)\n", " ltslack : float, optional (default from parameter file)\n", " tendon slack length (normalized or not)\n", " epst0 : float, optional (default from parameter file)\n", " tendon strain at the maximal isometric muscle force\n", " kttoe : float, optional (default from parameter file)\n", " linear scale factor\n", " Returns\n", " fse : float\n", " normalized force of the tendon series element\n", " \"\"\"\n", "\n", " if ltslack is None: ltslack = self.P['ltslack']\n", " if epst0 is None: epst0 = self.P['epst0']\n", " if kttoe is None: kttoe = self.P['kttoe']\n", "\n", " epst = (lt-ltslack)/ltslack\n", " fttoe = .33\n", " # values from OpenSim Thelen2003Muscle\n", " epsttoe = .99*epst0*np.e**3/(1.66*np.e**3 - .67)\n", " ktlin = .67/(epst0 - epsttoe)\n", " #\n", " if epst <= 0:\n", " fse = 0\n", " elif epst <= epsttoe:\n", " fse = fttoe/(np.exp(kttoe)-1)*(np.exp(kttoe*epst/epsttoe)-1)\n", " else:\n", " fse = ktlin*(epst-epsttoe) + fttoe\n", "\n", " return fse\n", "\n", "\n", " def velo_fm(self, fm, a, fl, lmopt=None, vmmax=None, fmlen=None, af=None):\n", " \"\"\"Thelen (2003) velocity of the force-velocity relationship vs. CE force.\n", "\n", " Parameters\n", " fm : float\n", " normalized muscle force\n", " a : float\n", " muscle activation level\n", " fl : float\n", " normalized muscle force due to the force-length relationship\n", " lmopt : float, optional (default from parameter file)\n", " optimal muscle fiber length\n", " vmmax : float, optional (default from parameter file)\n", " normalized maximum muscle velocity for concentric activation\n", " fmlen : float, optional (default from parameter file)\n", " normalized maximum force generated at the lengthening phase\n", " af : float, optional (default from parameter file)\n", " shape factor\n", " Returns\n", " vm : float\n", " velocity of the muscle\n", " \"\"\"\n", "\n", " if lmopt is None: lmopt = self.P['lmopt']\n", " if vmmax is None: vmmax = self.P['vmmax']\n", " if fmlen is None: fmlen = self.P['fmlen']\n", " if af is None: af = self.P['af']\n", "\n", " if fm <= a*fl: # isometric and concentric activation\n", " if fm > 0:\n", " b = a*fl + fm/af\n", " else:\n", " b = a*fl\n", " else: # eccentric activation\n", " asyE_thresh = 0.95 # from OpenSim Thelen2003Muscle\n", " if fm < a*fl*fmlen*asyE_thresh:\n", " b = (2 + 2/af)*(a*fl*fmlen - fm)/(fmlen - 1)\n", " else:\n", " fm0 = a*fl*fmlen*asyE_thresh\n", " b = (2 + 2/af)*(a*fl*fmlen - fm0)/(fmlen - 1)\n", "\n", " vm = (0.25 + 0.75*a)*1*(fm - a*fl)/b\n", " vm = vm*vmmax*lmopt\n", "\n", " return vm\n", "\n", "\n", " def force_vm(self, vm, a, fl, lmopt=None, vmmax=None, fmlen=None, af=None):\n", " \"\"\"Thelen (2003) force of the contractile element vs. muscle velocity.\n", "\n", " Parameters\n", " vm : float\n", " muscle velocity\n", " a : float\n", " muscle activation level\n", " fl : float\n", " normalized muscle force due to the force-length relationship\n", " lmopt : float, optional (default from parameter file)\n", " optimal muscle fiber length\n", " vmmax : float, optional (default from parameter file)\n", " normalized maximum muscle velocity for concentric activation\n", " fmlen : float, optional (default from parameter file)\n", " normalized normalized maximum force generated at the lengthening phase\n", " af : float, optional (default from parameter file)\n", " shape factor\n", " Returns\n", " fvm : float\n", " normalized force of the muscle contractile element\n", " \"\"\"\n", "\n", " if lmopt is None: lmopt = self.P['lmopt']\n", " if vmmax is None: vmmax = self.P['vmmax']\n", " if fmlen is None: fmlen = self.P['fmlen']\n", " if af is None: af = self.P['af']\n", "\n", " vmmax = vmmax*lmopt\n", " if vm <= 0: # isometric and concentric activation\n", " fvm = af*a*fl*(4*vm + vmmax*(3*a + 1))/(-4*vm + vmmax*af*(3*a + 1))\n", " else: # eccentric activation\n", " fvm = a*fl*(af*vmmax*(3*a*fmlen - 3*a + fmlen - 1) + \\\n", " 8*vm*fmlen*(af + 1)) / \\\n", " (af*vmmax*(3*a*fmlen - 3*a + fmlen - 1) + 8*vm*(af + 1))\n", "\n", " return fvm\n", "\n", "\n", " def lmt_eq(self, t, lmt0=None):\n", " \"\"\"Equation for muscle-tendon length.\"\"\"\n", "\n", " if lmt0 is None:\n", " lmt0 = self.S['lmt0']\n", "\n", " return lmt0\n", "\n", "\n", " def vm_eq(self, t, lm, lm0, lmt0, lmopt, ltslack, alpha0, vmmax, fm0):\n", " \"\"\"Equation for muscle velocity.\"\"\"\n", "\n", " if lm < 0.1*lmopt:\n", " lm = 0.1*lmopt\n", " #lt0 = lmt0 - lm0*np.cos(alpha0)\n", " a = self.activation(t)\n", " lmt = self.lmt_eq(t, lmt0)\n", " alpha = self.penn_ang(lmt=lmt, lm=lm, lm0=lm0, alpha0=alpha0)\n", " lt = lmt - lm*np.cos(alpha)\n", " fse = self.force_se(lt=lt, ltslack=ltslack)\n", " fpe = self.force_pe(lm=lm/lmopt)\n", " fl = self.force_l(lm=lm/lmopt)\n", " fce_t = fse/np.cos(alpha) - fpe\n", " #if fce_t < 0: fce_t=0\n", " vm = self.velo_fm(fm=fce_t, a=a, fl=fl)\n", "\n", " return vm\n", "\n", "\n", " def lm_sol(self, fun=None, t0=0, t1=3, lm0=None, lmt0=None, ltslack=None, lmopt=None,\n", " alpha0=None, vmmax=None, fm0=None, show=True, axs=None):\n", " \"\"\"Runge-Kutta (4)5 ODE solver for muscle length.\"\"\"\n", "\n", " if lm0 is None: lm0 = self.S['lm0']\n", " if lmt0 is None: lmt0 = self.S['lmt0']\n", " if ltslack is None: ltslack = self.P['ltslack']\n", " if alpha0 is None: alpha0 = self.P['alpha0']\n", " if lmopt is None: lmopt = self.P['lmopt']\n", " if vmmax is None: vmmax = self.P['vmmax']\n", " if fm0 is None: fm0 = self.P['fm0']\n", "\n", " if fun is None:\n", " fun = self.vm_eq\n", " f = ode(fun).set_integrator('dopri5', nsteps=1, max_step=0.005, atol=1e-8)\n", " f.set_initial_value(lm0, t0).set_f_params(lm0, lmt0, lmopt, ltslack, alpha0, vmmax, fm0)\n", " # suppress Fortran warning\n", " warnings.filterwarnings(\"ignore\", category=UserWarning)\n", " data = []\n", " while f.t < t1:\n", " f.integrate(t1, step=True)\n", " d = self.calc_data(f.t, np.max([f.y[0], 0.1*lmopt]), lm0, lmt0,\n", " ltslack, lmopt, alpha0, fm0)\n", " data.append(d)\n", "\n", " warnings.resetwarnings()\n", " data = np.array(data)\n", " self.lm_data = data\n", " if show:\n", " self.lm_plot(data, axs)\n", "\n", " return data\n", "\n", "\n", " def calc_data(self, t, lm, lm0, lmt0, ltslack, lmopt, alpha0, fm0):\n", " \"\"\"Calculus of muscle-tendon variables.\"\"\"\n", "\n", " a = self.activation(t)\n", " lmt = self.lmt_eq(t, lmt0=lmt0)\n", " alpha = self.penn_ang(lmt=lmt, lm=lm, lm0=lm0, alpha0=alpha0)\n", " lt = lmt - lm*np.cos(alpha)\n", " fl = self.force_l(lm=lm/lmopt)\n", " fpe = self.force_pe(lm=lm/lmopt)\n", " fse = self.force_se(lt=lt, ltslack=ltslack)\n", " fce_t = fse/np.cos(alpha) - fpe\n", " vm = self.velo_fm(fm=fce_t, a=a, fl=fl, lmopt=lmopt)\n", " fm = self.force_vm(vm=vm, fl=fl, lmopt=lmopt, a=a) + fpe\n", " data = [t, lmt, lm, lt, vm, fm*fm0, fse*fm0, a*fl*fm0, fpe*fm0, alpha]\n", "\n", " return data\n", "\n", "\n", " def muscle_plot(self, a=1, axs=None):\n", " \"\"\"Plot muscle-tendon relationships with length and velocity.\"\"\"\n", "\n", " try:\n", " import matplotlib.pyplot as plt\n", " except ImportError:\n", " print('matplotlib is not available.')\n", " return\n", "\n", " if axs is None:\n", " fig, axs = plt.subplots(nrows=1, ncols=3, figsize=(9, 4))\n", "\n", " lmopt = self.P['lmopt']\n", " ltslack = self.P['ltslack']\n", " vmmax = self.P['vmmax']\n", " alpha0 = self.P['alpha0']\n", " fm0 = self.P['fm0']\n", " lm0 = self.S['lm0']\n", " lmt0 = self.S['lmt0']\n", " lt0 = self.S['lt0']\n", " if np.isnan(lt0):\n", " lt0 = lmt0 - lm0*np.cos(alpha0)\n", "\n", " lm = np.linspace(0, 2, 101)\n", " lt = np.linspace(0, 1, 101)*0.05 + 1\n", " vm = np.linspace(-1, 1, 101)*vmmax*lmopt\n", " fl = np.zeros(lm.size)\n", " fpe = np.zeros(lm.size)\n", " fse = np.zeros(lt.size)\n", " fvm = np.zeros(vm.size)\n", "\n", " fl_lm0 = self.force_l(lm0/lmopt)\n", " fpe_lm0 = self.force_pe(lm0/lmopt)\n", " fm_lm0 = fl_lm0 + fpe_lm0\n", " ft_lt0 = self.force_se(lt0, ltslack)*fm0\n", "\n", " for i in range(101):\n", " fl[i] = self.force_l(lm[i])\n", " fpe[i] = self.force_pe(lm[i])\n", " fse[i] = self.force_se(lt[i], ltslack=1)\n", " fvm[i] = self.force_vm(vm[i], a=a, fl=fl_lm0)\n", "\n", " lm = lm*lmopt\n", " lt = lt*ltslack\n", " fl = fl\n", " fpe = fpe\n", " fse = fse*fm0\n", " fvm = fvm*fm0\n", "\n", " xlim = self.margins(lm, margin=.05, minmargin=False)\n", " axs[0].set_xlim(xlim)\n", " ylim = self.margins([0, 2], margin=.05)\n", " axs[0].set_ylim(ylim)\n", " axs[0].plot(lm, fl, 'b', label='Active')\n", " axs[0].plot(lm, fpe, 'b--', label='Passive')\n", " axs[0].plot(lm, fl+fpe, 'b:', label='')\n", " axs[0].plot([lm0, lm0], [ylim[0], fm_lm0], 'k:', lw=2, label='')\n", " axs[0].plot([xlim[0], lm0], [fm_lm0, fm_lm0], 'k:', lw=2, label='')\n", " axs[0].plot(lm0, fm_lm0, 'o', ms=6, mfc='r', mec='r', mew=2, label='fl(LM0)')\n", " axs[0].legend(loc='best', frameon=True, framealpha=.5)\n", " axs[0].set_xlabel('Length [m]')\n", " axs[0].set_ylabel('Scale factor')\n", " axs[0].xaxis.set_major_locator(plt.MaxNLocator(4))\n", " axs[0].yaxis.set_major_locator(plt.MaxNLocator(4))\n", " axs[0].set_title('Muscle F-L (a=1)')\n", "\n", " xlim = self.margins([0, np.min(vm), np.max(vm)], margin=.05, minmargin=False)\n", " axs[1].set_xlim(xlim)\n", " ylim = self.margins([0, fm0*1.2, np.max(fvm)*1.5], margin=.025)\n", " axs[1].set_ylim(ylim)\n", " axs[1].plot(vm, fvm, label='')\n", " axs[1].set_xlabel(r'$\\mathbf{^{CON}}\\;$ Velocity [m/s] $\\;\\mathbf{^{EXC}}$')\n", " axs[1].plot([0, 0], [ylim[0], fvm[50]], 'k:', lw=2, label='')\n", " axs[1].plot([xlim[0], 0], [fvm[50], fvm[50]], 'k:', lw=2, label='')\n", " axs[1].plot(0, fvm[50], 'o', ms=6, mfc='r', mec='r', mew=2, label='FM0(LM0)')\n", " axs[1].plot(xlim[0], fm0, '+', ms=10, mfc='r', mec='r', mew=2, label='')\n", " axs[1].text(vm[0], fm0, 'FM0')\n", " axs[1].legend(loc='upper right', frameon=True, framealpha=.5)\n", " axs[1].set_ylabel('Force [N]')\n", " axs[1].xaxis.set_major_locator(plt.MaxNLocator(4))\n", " axs[1].yaxis.set_major_locator(plt.MaxNLocator(4))\n", " axs[1].set_title('Muscle F-V (a=1)')\n", "\n", " xlim = self.margins([lt0, ltslack, np.min(lt), np.max(lt)], margin=.05,\n", " minmargin=False)\n", " axs[2].set_xlim(xlim)\n", " ylim = self.margins([ft_lt0, 0, np.max(fse)], margin=.05)\n", " axs[2].set_ylim(ylim)\n", " axs[2].plot(lt, fse, label='')\n", " axs[2].set_xlabel('Length [m]')\n", " axs[2].plot([lt0, lt0], [ylim[0], ft_lt0], 'k:', lw=2, label='')\n", " axs[2].plot([xlim[0], lt0], [ft_lt0, ft_lt0], 'k:', lw=2, label='')\n", " axs[2].plot(lt0, ft_lt0, 'o', ms=6, mfc='r', mec='r', mew=2, label='FT(LT0)')\n", " axs[2].legend(loc='upper left', frameon=True, framealpha=.5)\n", " axs[2].set_ylabel('Force [N]')\n", " axs[2].xaxis.set_major_locator(plt.MaxNLocator(4))\n", " axs[2].yaxis.set_major_locator(plt.MaxNLocator(4))\n", " axs[2].set_title('Tendon')\n", " plt.suptitle('Muscle-tendon mechanics')\n", " plt.tight_layout(w_pad=.1)\n", " plt.show()\n", "\n", " return axs\n", "\n", "\n", " def lm_plot(self, x, axs=None):\n", " \"\"\"Plot results of actdyn_ode45 function.\n", " data = [t, lmt, lm, lt, vm, fm*fm0, fse*fm0, fl*fm0, fpe*fm0, alpha]\n", " \"\"\"\n", "\n", " try:\n", " import matplotlib.pyplot as plt\n", " except ImportError:\n", " print('matplotlib is not available.')\n", " return\n", "\n", " if axs is None:\n", " fig, axs = plt.subplots(nrows=3, ncols=2, sharex=True, figsize=(9, 6))\n", "\n", " axs[0, 0].plot(x[:, 0], x[:, 1], 'b', label='LMT')\n", " lmt = x[:, 2]*np.cos(x[:, 9]) + x[:, 3]\n", " if np.sum(x[:, 9]) > 0:\n", " axs[0, 0].plot(x[:, 0], lmt, 'g--', label=r'$LM \\cos \\alpha + LT$')\n", " else:\n", " axs[0, 0].plot(x[:, 0], lmt, 'g--', label=r'LM+LT')\n", " ylim = self.margins(x[:, 1], margin=.1)\n", " axs[0, 0].set_ylim(ylim)\n", " axs[0, 0].legend(framealpha=.5, loc='best')\n", "\n", " axs[0, 1].plot(x[:, 0], x[:, 3], 'b')\n", " #axs[0, 1].plot(x[:, 0], lt0*np.ones(len(x)), 'r')\n", " ylim = self.margins(x[:, 3], margin=.1)\n", " axs[0, 1].set_ylim(ylim)\n", "\n", " axs[1, 0].plot(x[:, 0], x[:, 2], 'b')\n", " #axs[1, 0].plot(x[:, 0], lmopt*np.ones(len(x)), 'r')\n", " ylim = self.margins(x[:, 2], margin=.1)\n", " axs[1, 0].set_ylim(ylim)\n", "\n", " axs[1, 1].plot(x[:, 0], x[:, 4], 'b')\n", " ylim = self.margins(x[:, 4], margin=.1)\n", " axs[1, 1].set_ylim(ylim)\n", "\n", " axs[2, 0].plot(x[:, 0], x[:, 5], 'b', label='Muscle')\n", " axs[2, 0].plot(x[:, 0], x[:, 6], 'g--', label='Tendon')\n", " ylim = self.margins(x[:, [5, 6]], margin=.1)\n", " axs[2, 0].set_ylim(ylim)\n", " axs[2, 0].set_xlabel('Time (s)')\n", " axs[2, 0].legend(framealpha=.5, loc='best')\n", "\n", " axs[2, 1].plot(x[:, 0], x[:, 8], 'b', label='PE')\n", " ylim = self.margins(x[:, 8], margin=.1)\n", " axs[2, 1].set_ylim(ylim)\n", " axs[2, 1].set_xlabel('Time (s)')\n", " axs[2, 1].legend(framealpha=.5, loc='best')\n", "\n", " ylabel = [r'$L_{MT}\\,(m)$', r'$L_{T}\\,(m)$', r'$L_{M}\\,(m)$',\n", " r'$V_{CE}\\,(m/s)$', r'$Force\\,(N)$', r'$Force\\,(N)$']\n", " for i, axi in enumerate(axs.flat):\n", " axi.set_ylabel(ylabel[i])\n", " axi.yaxis.set_major_locator(plt.MaxNLocator(4))\n", " fig.align_ylabels(axs)\n", " #axi.yaxis.set_label_coords(-.2, 0.5)\n", "\n", " plt.suptitle('Simulation of muscle-tendon mechanics')\n", " plt.tight_layout()\n", " plt.show()\n", "\n", " return axs\n", "\n", "\n", " def penn_ang(self, lmt, lm, lt=None, lm0=None, alpha0=None):\n", " \"\"\"Pennation angle.\n", "\n", " Parameters\n", " lmt : float\n", " muscle-tendon length\n", " lt : float, optional (default=None)\n", " tendon length\n", " lm : float, optional (default=None)\n", " muscle fiber length\n", " lm0 : float, optional (default from states file)\n", " initial muscle fiber length\n", " alpha0 : float, optional (default from parameter file)\n", " initial pennation angle\n", " Returns\n", " alpha : float\n", " pennation angle\n", " \"\"\"\n", "\n", " if lm0 is None: lm0 = self.S['lm0']\n", " if alpha0 is None: alpha0 = self.P['alpha0']\n", "\n", " alpha = alpha0\n", " if alpha0 != 0:\n", " w = lm0*np.sin(alpha0)\n", " if lm is not None:\n", " cosalpha = np.sqrt(1-(w/lm)**2)\n", " elif lmt is not None and lt is not None:\n", " cosalpha = 1/(np.sqrt(1 + (w/(lmt-lt))**2))\n", " alpha = np.arccos(cosalpha)\n", "\n", " if alpha > 1.4706289: # np.arccos(0.1), 84.2608 degrees\n", " alpha = 1.4706289\n", "\n", " return alpha\n", "\n", "\n", " def excitation(self, t, u_max=None, u_min=None, t0=0, t1=5):\n", " \"\"\"Excitation signal, a square wave.\n", "\n", " Parameters\n", " t : float\n", " time instant [s]\n", " u_max : float (0 < u_max <= 1), optional (default from parameter file)\n", " maximum value for muscle excitation\n", " u_min : float (0 < u_min < 1), optional (default from parameter file)\n", " minimum value for muscle excitation\n", " t0 : float, optional (default=0)\n", " initial time instant for muscle excitation equals to u_max [s]\n", " t1 : float, optional (default=5)\n", " final time instant for muscle excitation equals to u_max [s]\n", " Returns\n", " u : float (0 < u <= 1)\n", " excitation signal\n", " \"\"\"\n", "\n", " if u_max is None: u_max = self.P['u_max']\n", " if u_min is None: u_min = self.P['u_min']\n", "\n", " u = u_min\n", " if t >= t0 and t <= t1:\n", " u = u_max\n", "\n", " return u\n", "\n", "\n", " def activation_dyn(self, t, a, t_act=None, t_deact=None):\n", " \"\"\"Thelen (2003) activation dynamics, the derivative of `a` at `t`.\n", "\n", " Parameters\n", " t : float\n", " time instant [s]\n", " a : float (0 <= a <= 1)\n", " muscle activation\n", " t_act : float, optional (default from parameter file)\n", " activation time constant [s]\n", " t_deact : float, optional (default from parameter file)\n", " deactivation time constant [s]\n", " Returns\n", " adot : float\n", " derivative of `a` at `t`\n", " \"\"\"\n", "\n", " if t_act is None: t_act = self.P['t_act']\n", " if t_deact is None: t_deact = self.P['t_deact']\n", "\n", " u = self.excitation(t)\n", " if u > a:\n", " adot = (u - a)/(t_act*(0.5 + 1.5*a))\n", " else:\n", " adot = (u - a)/(t_deact/(0.5 + 1.5*a))\n", "\n", " return adot\n", "\n", "\n", " def activation_sol(self, fun=None, t0=0, t1=3, a0=0, u_min=None,\n", " t_act=None, t_deact=None, show=True, axs=None):\n", " \"\"\"Runge-Kutta (4)5 ODE solver for activation dynamics.\n", "\n", " Parameters\n", " ----------\n", " fun : function object, optional (default is None and `actdyn` is used)\n", " function with ODE to be solved\n", " t0 : float, optional (default=0)\n", " initial time instant for the simulation [s]\n", " t1 : float, optional (default=0)\n", " final time instant for the simulation [s]\n", " a0 : float, optional (default=0)\n", " initial muscle activation\n", " u_max : float (0 < u_max <= 1), optional (default from parameter file)\n", " maximum value for muscle excitation\n", " u_min : float (0 < u_min < 1), optional (default from parameter file)\n", " minimum value for muscle excitation\n", " t_act : float, optional (default from parameter file)\n", " activation time constant [s]\n", " t_deact : float, optional (default from parameter file)\n", " deactivation time constant [s]\n", " show : bool, optional (default = True)\n", " if True (1), plot data in matplotlib figure\n", " axs : a matplotlib.axes.Axes instance, optional (default = None)\n", "\n", " Returns\n", " -------\n", " data : 2-d array\n", " array with columns [time, excitation, activation]\n", "\n", " \"\"\"\n", "\n", " if u_min is None: u_min = self.P['u_min']\n", " if t_act is None: t_act = self.P['t_act']\n", " if t_deact is None: t_deact = self.P['t_deact']\n", "\n", " if fun is None:\n", " fun = self.activation_dyn\n", " f = ode(fun).set_integrator('dopri5', nsteps=1, max_step=0.005, atol=1e-8)\n", " f.set_initial_value(a0, t0).set_f_params(t_act, t_deact)\n", " # suppress Fortran warning\n", " warnings.filterwarnings(\"ignore\", category=UserWarning)\n", " data = []\n", " while f.t < t1:\n", " f.integrate(t1, step=True)\n", " data.append([f.t, self.excitation(f.t), np.max([f.y[0], u_min])])\n", " warnings.resetwarnings()\n", " data = np.array(data)\n", " if show:\n", " self.actvation_plot(data, axs)\n", "\n", " self.act_data = data\n", "\n", " return data\n", "\n", "\n", " def activation(self, t=None):\n", " \"\"\"Activation signal.\"\"\"\n", "\n", " data = self.act_data\n", " if t is not None and len(data):\n", " if t <= self.act_data[0, 0]:\n", " a = self.act_data[0, 2]\n", " elif t >= self.act_data[-1, 0]:\n", " a = self.act_data[-1, 2]\n", " else:\n", " a = np.interp(t, self.act_data[:, 0], self.act_data[:, 2])\n", " else:\n", " a = 1\n", "\n", " return a\n", "\n", "\n", " def actvation_plot(self, data, axs=None):\n", " \"\"\"Plot results of actdyn_ode45 function.\"\"\"\n", "\n", " try:\n", " import matplotlib.pyplot as plt\n", " except ImportError:\n", " print('matplotlib is not available.')\n", " return\n", "\n", " if axs is None:\n", " _, axs = plt.subplots(nrows=1, ncols=1, figsize=(6, 4))\n", "\n", " axs.plot(data[:, 0], data[:, 1], color=[1, 0, 0, .6], label='Excitation')\n", " axs.plot(data[:, 0], data[:, 2], color=[0, 0, 1, .6], label='Activation')\n", " axs.set_xlabel('Time [s]')\n", " axs.set_ylabel('Level')\n", " axs.legend()\n", " plt.title('Activation dynamics')\n", " plt.tight_layout()\n", " plt.show()\n", "\n", " return axs\n", "\n", "\n", " def margins(self, x, margin=0.01, minmargin=True):\n", " \"\"\"Calculate plot limits with extra margins.\n", " \"\"\"\n", " rang = np.nanmax(x) - np.nanmin(x)\n", " if rang < 0.001 and minmargin:\n", " rang = 0.001*np.nanmean(x)/margin\n", " if rang < 1:\n", " rang = 1\n", " lim = [np.nanmin(x) - rang*margin, np.nanmax(x) + rang*margin]\n", "\n", " return lim\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { 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