{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# AMICI Python example \"splines\"\n", "\n", "This is an example showing how to add spline assignment rules to a pre-existing SBML model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Utility functions" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "import os\n", "from shutil import rmtree\n", "from tempfile import TemporaryDirectory\n", "from uuid import uuid1\n", "\n", "import amici\n", "import matplotlib as mpl\n", "import numpy as np\n", "import sympy as sp\n", "from matplotlib import pyplot as plt\n", "\n", "# Choose build directory\n", "BUILD_PATH = None # temporary folder\n", "# BUILD_PATH = 'build' # specified folder for debugging\n", "if BUILD_PATH is not None:\n", " # Remove previous models\n", " rmtree(BUILD_PATH, ignore_errors=True)\n", " os.mkdir(BUILD_PATH)\n", "\n", "\n", "def simulate(sbml_model, parameters=None, *, model_name=None, **kwargs):\n", " if model_name is None:\n", " model_name = \"model_\" + uuid1().hex\n", " if BUILD_PATH is None:\n", " with TemporaryDirectory() as build_dir:\n", " return _simulate(\n", " sbml_model,\n", " parameters,\n", " build_dir=build_dir,\n", " model_name=model_name,\n", " **kwargs,\n", " )\n", " else:\n", " build_dir = os.path.join(BUILD_PATH, model_name)\n", " rmtree(build_dir, ignore_errors=True)\n", " return _simulate(\n", " sbml_model,\n", " parameters,\n", " build_dir=build_dir,\n", " model_name=model_name,\n", " **kwargs,\n", " )\n", "\n", "\n", "def _simulate(\n", " sbml_model,\n", " parameters,\n", " *,\n", " build_dir,\n", " model_name,\n", " T=1,\n", " discard_annotations=False,\n", " plot=True,\n", "):\n", " if parameters is None:\n", " parameters = {}\n", " # Build the model module from the SBML file\n", " sbml_importer = amici.SbmlImporter(\n", " sbml_model, discard_annotations=discard_annotations\n", " )\n", " sbml_importer.sbml2amici(model_name, build_dir)\n", " # Import the model module\n", " model_module = amici.import_model_module(model_name, build_dir)\n", " # Setup simulation timepoints and parameters\n", " model = model_module.get_model()\n", " for name, value in parameters.items():\n", " model.set_parameter_by_name(name, value)\n", " if isinstance(T, int | float):\n", " T = np.linspace(0, T, 100)\n", " model.set_timepoints([float(t) for t in T])\n", " solver = model.create_solver()\n", " solver.set_sensitivity_order(amici.SensitivityOrder.first)\n", " solver.set_sensitivity_method(amici.SensitivityMethod.forward)\n", " # Simulate\n", " rdata = amici.run_simulation(model, solver)\n", " # Plot results\n", " if plot:\n", " fig, ax = plt.subplots()\n", " ax.plot(rdata[\"t\"], rdata[\"x\"])\n", " ax.set_xlabel(\"time\")\n", " ax.set_ylabel(\"concentration\")\n", " return model, rdata" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "### A simple SBML model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us consider the following SBML model:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```xml\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " f \n", " \n", " \n", " \n", " \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model corresponds to the simple ODE $\\dot{x} = f$ for a species $x$ and a parameter $f$.\n", "\n", "We can easily import and simulate this model in AMICI." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "simulate(\"example_splines.xml\", dict(f=1));" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "### Adding a simple spline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of using a constant parameter $f$, we want to use a smooth time-dependent function $f(t)$ whose value is known only at a finite number of time instants. The value of $f(t)$ outside such grid points needs to be smoothly interpolated. Several methods have been developed for this problem over the years; AMICI at the moment supports only [cubic Hermite splines](https://en.wikipedia.org/wiki/Cubic_Hermite_spline)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can add a spline function to an existing SBML model with the following code. The resulting time-dependent parameter $f(t)$ will assume values $(1, -0.5, 2)$ at the equally spaced points $(0, 0.5, 1)$ and smoothly vary elsewhere." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "AMICI encodes the spline as a SBML assignment rule for the parameter $f$. Such a rule consists of a piecewise-polynomial formula which can be interpreted in any SBML-compliant software. However, such very complex formulas are computationally inefficient; e.g., in AMICI they lead to very long model creation times. To solve such problem the code below adds AMICI-specific SBML annotations to the assignment rule which can be used by AMICI to recreate the correct interpolant without reading the inefficient piecewise formula." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [] }, "outputs": [], "source": [ "# Create a spline object\n", "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol, # the spline function is evaluated at the current time point\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=3),\n", " values_at_nodes=[1, -1, 2],\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "spline value at 0.3 = -0.560000000000000\n", "spline derivative at 0.3 = -4.60000000000000\n", "spline integral between 0 and 1 = 0.0416666666666672\n" ] } ], "source": [ "# This spline object can be evaluated at any point\n", "# and so can its derivative/integral\n", "print(f\"spline value at 0.3 = {spline.evaluate(0.3)}\")\n", "print(f\"spline derivative at 0.3 = {spline.derivative(0.3)}\")\n", "print(f\"spline integral between 0 and 1 = {spline.integrate(0.0, 1.0)}\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the spline\n", "spline.plot(xlabel=\"time\");" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [] }, "outputs": [], "source": [ "# Load SBML model using libsbml\n", "import libsbml\n", "\n", "sbml_doc = libsbml.SBMLReader().readSBML(\"example_splines.xml\")\n", "sbml_model = sbml_doc.getModel()\n", "# We can add the spline assignment rule to the SBML model\n", "spline.add_to_sbml_model(sbml_model)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Finally, we can simulate it in AMICI\n", "model, rdata = simulate(sbml_model)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [] }, "outputs": [], "source": [ "# Final value should be equal to the integral computed above\n", "assert np.allclose(rdata[\"x\"][-1], float(spline.integrate(0.0, 1.0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following is the SBML code for the above model\n", "```xml\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " f \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " time \n", " \n", " \n", " \n", " \n", " 0\n", " \n", " \n", " 1\n", " \n", " \n", " \n", " \n", " 1\n", " 2\n", " \n", " \n", " \n", " \n", " \n", " 1\n", " \n", " \n", " -1\n", " \n", " \n", " 2\n", " \n", " \n", " \n", " \n", " \n", " \n", " ... piecewise representation of the spline ...\n", " \n", " \n", " \n", " \n", " \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spline annotation on its own can be accessed by" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\t\n", "\t\t\n", "\t\t\t time \n", "\t\t\n", "\t\n", "\t\n", "\t\t\n", "\t\t\t0\n", "\t\t\n", "\t\t\n", "\t\t\t1\n", "\t\t\n", "\t\t\n", "\t\t\t\n", "\t\t\t\t\n", "\t\t\t\t1\n", "\t\t\t\t2\n", "\t\t\t\n", "\t\t\n", "\t\n", "\t\n", "\t\t\n", "\t\t\t1\n", "\t\t\n", "\t\t\n", "\t\t\t-1\n", "\t\t\n", "\t\t\n", "\t\t\t2\n", "\t\t\n", "\t\n", "\n" ] } ], "source": [ "print(spline.amici_annotation)" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "### Splines can be parametrized" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of constant values, SBML parameters can be used as spline values. These can also be automatically added to the model when adding the assignment rule." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "tags": [] }, "outputs": [], "source": [ "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=3),\n", " values_at_nodes=sp.symbols(\"f0:3\"),\n", ")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [] }, "outputs": [], "source": [ "sbml_doc = libsbml.SBMLReader().readSBML(\"example_splines.xml\")\n", "sbml_model = sbml_doc.getModel()\n", "spline.add_to_sbml_model(\n", " sbml_model,\n", " auto_add=True,\n", " y_nominal=[1, -0.5, 2],\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "tags": [] }, "outputs": [], "source": [ "parameters = dict(f0=-2, f1=1, f2=-2)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spline.plot(parameters, xlabel=\"time\");" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model, rdata = simulate(sbml_model, parameters)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Sensitivities with respect to the spline values can be computed\n", "fig, ax = plt.subplots()\n", "ax.plot(rdata[\"t\"], rdata.sx[:, 0], label=model.get_parameter_names()[0])\n", "ax.plot(rdata[\"t\"], rdata.sx[:, 1], label=model.get_parameter_names()[1])\n", "ax.plot(rdata[\"t\"], rdata.sx[:, 2], label=model.get_parameter_names()[2])\n", "ax.set_xlabel(\"time\")\n", "ax.set_ylabel(\"sensitivity\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "### Specifying derivatives, boundary conditions and extrapolation methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When derivatives are not specified in the `CubicHermiteSpline` constructor, they are computed automatically using finite differences and according to the boundary conditions. If their form is known a priori (e.g., they are known constants or functions of parameters), they can be passed explicitly to the spline constructor." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "tags": [] }, "outputs": [], "source": [ "# A simple spline for which finite differencing would give a different result\n", "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=3),\n", " values_at_nodes=[1.0, -1.0, 1.0],\n", " derivatives_at_nodes=[10.0, -10.0, -10.0],\n", ")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spline.plot(xlabel=\"time\");" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Simulation\n", "sbml_doc = libsbml.SBMLReader().readSBML(\"example_splines.xml\")\n", "sbml_model = sbml_doc.getModel()\n", "spline.add_to_sbml_model(sbml_model)\n", "simulate(sbml_model, T=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spline annotation in this case is\n", "```xml\n", "\n", "\t ... \n", "\t ... \n", "\t ... \n", "\t\n", "\t\t\n", "\t\t\t10\n", "\t\t\n", "\t\t\n", "\t\t\t-10\n", "\t\t\n", "\t\t\n", "\t\t\t-10\n", "\t\t\n", "\t\n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "The default boundary conditions depend on the extrapolation method (which defaults to no extrapolation). For example, below we have a spline with constant extrapolation." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "tags": [] }, "outputs": [], "source": [ "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=3),\n", " values_at_nodes=[-2, 1, -1],\n", " extrapolate=(\n", " None,\n", " \"constant\",\n", " ), # no extrapolation required on the left side\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spline.plot(xlabel=\"time\", xlim=(0, 1.5));" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sbml_doc = libsbml.SBMLReader().readSBML(\"example_splines.xml\")\n", "sbml_model = sbml_doc.getModel()\n", "spline.add_to_sbml_model(sbml_model)\n", "simulate(sbml_model, T=1.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spline annotation in this case is\n", "```xml\n", "\n", "\t ... \n", "\t ... \n", "\t ... \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here we have a periodic spline." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "tags": [] }, "outputs": [], "source": [ "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=3),\n", " values_at_nodes=[-2, 1, -2], # first and last node must coincide\n", " extrapolate=\"periodic\",\n", ")" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spline.plot(xlabel=\"time\", xlim=(0, 3));" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sbml_doc = libsbml.SBMLReader().readSBML(\"example_splines.xml\")\n", "sbml_model = sbml_doc.getModel()\n", "spline.add_to_sbml_model(sbml_model)\n", "simulate(sbml_model, T=3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spline annotation in this case is\n", "```xml\n", "\n", "\t ... \n", "\t ... \n", "\t ... \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can modify the spline's boundary conditions, for example requiring that the derivatives is zero." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "tags": [] }, "outputs": [], "source": [ "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=4),\n", " values_at_nodes=[-1, 2, 4, 2],\n", " bc=\"zeroderivative\",\n", ")" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spline.plot(xlabel=\"time\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```xml\n", "\n", "\t ... \n", "\t ... \n", "\t ... \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or we can impose natural boundary conditions." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "tags": [] }, "outputs": [], "source": [ "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=4),\n", " values_at_nodes=[-1, 2, 4, 2],\n", " bc=\"natural\",\n", ")" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spline.plot(xlabel=\"time\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```xml\n", "\n", "\t ... \n", "\t ... \n", "\t ... \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even if all node values are positive, due to under-shooting a cubic Hermite spline can assume negative values. In certain settings (e.g., when the spline represents a chemical reaction rate) this should be avoided. A possible solution is to carry out the interpolation in log-space (the resulting function is no longer a spline, but it is still a smooth interpolant)." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "tags": [] }, "outputs": [], "source": [ "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=5),\n", " values_at_nodes=[2, 0.05, 0.1, 2, 1],\n", ")" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# This spline assumes negative values!\n", "spline.plot(xlabel=\"time\");" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "tags": [] }, "outputs": [], "source": [ "spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=5),\n", " values_at_nodes=[2, 0.05, 0.1, 2, 1],\n", " logarithmic_parametrization=True,\n", ")" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Instead of under-shooting we now have over-shooting,\n", "# but at least the \"spline\" is always positive\n", "spline.plot(xlabel=\"time\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spline annotation in this case is\n", "```xml\n", "\n", "\t ... \n", "\t ... \n", "\t ... \n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing model import time for the SBML-native piecewise implementation and the AMICI spline implementation" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "tags": [] }, "outputs": [], "source": [ "import tempfile\n", "import time\n", "\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "tags": [] }, "outputs": [], "source": [ "nruns = 6 # number of replicates\n", "num_nodes = [\n", " 5,\n", " 10,\n", " 15,\n", " 20,\n", " 25,\n", " 30,\n", " 40,\n", "] # benchmark model import for these node numbers\n", "amici_only_nodes = [\n", " 50,\n", " 75,\n", " 100,\n", " 125,\n", " 150,\n", " 175,\n", " 200,\n", " 225,\n", " 250,\n", "] # for these node numbers, only benchmark the annotation-based implementation" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "# If running as a GitHub action, just do the minimal amount of work required to check whether the code is working\n", "if os.getenv(\"GITHUB_ACTIONS\") is not None:\n", " nruns = 1\n", " num_nodes = [4]\n", " amici_only_nodes = [5]" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "tags": [] }, "outputs": [], "source": [ "df = None\n", "for n in num_nodes + amici_only_nodes:\n", " # Create model\n", " spline = amici.splines.CubicHermiteSpline(\n", " sbml_id=\"f\",\n", " evaluate_at=amici.sbml_utils.amici_time_symbol,\n", " nodes=amici.splines.UniformGrid(0, 1, number_of_nodes=n),\n", " values_at_nodes=np.random.rand(n),\n", " )\n", " sbml_doc = libsbml.SBMLReader().readSBML(\"example_splines.xml\")\n", " sbml_model = sbml_doc.getModel()\n", " spline.add_to_sbml_model(sbml_model)\n", " # Benchmark model creation\n", " timings_amici = []\n", " timings_piecewise = []\n", " for _ in range(nruns):\n", " with tempfile.TemporaryDirectory() as tmpdir:\n", " t0 = time.perf_counter_ns()\n", " amici.SbmlImporter(sbml_model).sbml2amici(\"benchmark\", tmpdir)\n", " dt = time.perf_counter_ns() - t0\n", " timings_amici.append(dt / 1e9)\n", " if n in num_nodes:\n", " with tempfile.TemporaryDirectory() as tmpdir:\n", " t0 = time.perf_counter_ns()\n", " amici.SbmlImporter(\n", " sbml_model, discard_annotations=True\n", " ).sbml2amici(\"benchmark\", tmpdir)\n", " dt = time.perf_counter_ns() - t0\n", " timings_piecewise.append(dt / 1e9)\n", " # Append benchmark data to dataframe\n", " df_amici = pd.DataFrame(\n", " dict(num_nodes=n, time=timings_amici, use_annotations=True)\n", " )\n", " df_piecewise = pd.DataFrame(\n", " dict(num_nodes=n, time=timings_piecewise, use_annotations=False)\n", " )\n", " if df is None:\n", " df = pd.concat(\n", " [df_amici, df_piecewise], ignore_index=True, verify_integrity=True\n", " )\n", " else:\n", " df = pd.concat(\n", " [df, df_amici, df_piecewise],\n", " ignore_index=True,\n", " verify_integrity=True,\n", " )" ] }, { "cell_type": "code", "execution_count": 88, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kwargs = dict(markersize=7.5)\n", "df_avg = df.groupby([\"use_annotations\", \"num_nodes\"]).mean().reset_index()\n", "fig, ax = plt.subplots(1, 1, figsize=(6.5, 3.5))\n", "ax.plot(\n", " df_avg[np.logical_not(df_avg[\"use_annotations\"])][\"num_nodes\"],\n", " df_avg[np.logical_not(df_avg[\"use_annotations\"])][\"time\"],\n", " \".\",\n", " label=\"MathML piecewise\",\n", " **kwargs,\n", ")\n", "ax.plot(\n", " df_avg[df_avg[\"use_annotations\"]][\"num_nodes\"],\n", " df_avg[df_avg[\"use_annotations\"]][\"time\"],\n", " \".\",\n", " label=\"AMICI annotations\",\n", " **kwargs,\n", ")\n", "ax.set_ylabel(\"model import time (s)\")\n", "ax.set_xlabel(\"number of spline nodes\")\n", "ax.set_yscale(\"log\")\n", "ax.yaxis.set_major_formatter(\n", " mpl.ticker.FuncFormatter(lambda x, pos: f\"{x:.0f}\")\n", ")\n", "ax.xaxis.set_ticks(\n", " [\n", " 10,\n", " 20,\n", " 30,\n", " 40,\n", " 60,\n", " 70,\n", " 80,\n", " 90,\n", " 110,\n", " 120,\n", " 130,\n", " 140,\n", " 160,\n", " 170,\n", " 180,\n", " 190,\n", " 210,\n", " 220,\n", " 230,\n", " 240,\n", " 260,\n", " ],\n", " minor=True,\n", ")\n", "ax.yaxis.set_ticks(\n", " [20, 30, 40, 50, 60, 70, 80, 90, 200, 300, 400],\n", " [\"20\", \"30\", \"40\", \"50\", None, None, None, None, \"200\", \"300\", \"400\"],\n", " minor=True,\n", ")\n", "ax.legend()\n", "ax.figure.tight_layout()\n", "# ax.figure.savefig('benchmark_import.pdf')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 4 }