{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2c9f8018",
   "metadata": {},
   "source": [
    "# Static or class-based\n",
    "\n",
    "To create a static or class-based model,\n",
    "we first need to import `EmptyCompartment`\n",
    "and some reactions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7532fb7f",
   "metadata": {},
   "outputs": [],
   "source": [
    "from simbio.components import EmptyCompartment\n",
    "from simbio.reactions import single"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8cb4fd69",
   "metadata": {},
   "source": [
    "SimBio includes a comprehensive set of predefined reactions that relate reactants with products.\n",
    "While they are described later [in the docs](./reactions.md),\n",
    "for now,\n",
    "it is enough to understand that they can be used as primitives for your model.\n",
    "\n",
    "To create a model,\n",
    "we define a `Compartment` by creating class inheriting from `EmptyCompartment`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0bc44ed3",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Model(EmptyCompartment):\n",
    "    my_reaction = single.Synthesis(A=1, B=0.5, AB=0, rate=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a95a7f2",
   "metadata": {},
   "source": [
    "In this example,\n",
    "we created a `Compartment` named `Model`\n",
    "containing a single `Synthesis` reaction named `my_reaction`.\n",
    "Inside `Synthesis`,\n",
    "three `Species` are created:\n",
    "`A`, `B`, and `AB`,\n",
    "with `1`, `0.5`, and `0` as initial concentrations;\n",
    "and one parameter,\n",
    "`rate`,\n",
    "with `1` as value.\n",
    "\n",
    "To simulate this model,\n",
    "we need to create a `Simulator`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9e7a1165",
   "metadata": {},
   "outputs": [],
   "source": [
    "from simbio.simulator import Simulator\n",
    "\n",
    "sim = Simulator(Model)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b8df400",
   "metadata": {},
   "source": [
    "define an array of times to evaluate the integration,\n",
    "and call the `.run` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b8158353",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>my_reaction.A</th>\n",
       "      <th>my_reaction.B</th>\n",
       "      <th>my_reaction.AB</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.00000</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.10101</th>\n",
       "      <td>0.953061</td>\n",
       "      <td>0.453061</td>\n",
       "      <td>0.046939</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.20202</th>\n",
       "      <td>0.912345</td>\n",
       "      <td>0.412345</td>\n",
       "      <td>0.087655</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.30303</th>\n",
       "      <td>0.876735</td>\n",
       "      <td>0.376735</td>\n",
       "      <td>0.123265</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.40404</th>\n",
       "      <td>0.845365</td>\n",
       "      <td>0.345365</td>\n",
       "      <td>0.154635</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         my_reaction.A  my_reaction.B  my_reaction.AB\n",
       "time                                                 \n",
       "0.00000       1.000000       0.500000        0.000000\n",
       "0.10101       0.953061       0.453061        0.046939\n",
       "0.20202       0.912345       0.412345        0.087655\n",
       "0.30303       0.876735       0.376735        0.123265\n",
       "0.40404       0.845365       0.345365        0.154635"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "t = np.linspace(0, 10, 100)\n",
    "df = sim.run(t=t)\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b6ca88a",
   "metadata": {},
   "source": [
    "Behinds the scene,\n",
    "`Simulator` compiles the model into a function,\n",
    "creates a `Solver` (by default, `scipy.integrate.odeint`),\n",
    "and returns a `pandas.DataFrame` with the result.\n",
    "It can easily be plotted with `.plot()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e2d03811",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_9_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f2f0aeb",
   "metadata": {},
   "source": [
    "## Sharing Species\n",
    "\n",
    "If we want to share `Species` between different reactions,\n",
    "we need to explicitly define a `Species`\n",
    "and give it a name.\n",
    "\n",
    "To define a `Species`,\n",
    "we use type annotations\n",
    "(`name: type = value`),\n",
    "where the value corresponds to the initial concentration:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8084be34",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_11_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from simbio.components import Species\n",
    "\n",
    "\n",
    "class Model(EmptyCompartment):\n",
    "    X: Species = 0.5\n",
    "    create_X = single.Creation(A=X, rate=1)\n",
    "    my_reaction = single.Synthesis(A=X, B=1, AB=0, rate=1)\n",
    "\n",
    "\n",
    "t = np.linspace(0, 4, 100)\n",
    "Simulator(Model).run(t=t).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6861ffb9",
   "metadata": {},
   "source": [
    "## Sharing Parameters\n",
    "\n",
    "Analogously,\n",
    "`Parameters` can be shared between reactions,\n",
    "or as initial concentration of `Species`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "deb28ea3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_13_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from simbio.components import Parameter\n",
    "\n",
    "class Model(EmptyCompartment):\n",
    "    X: Species = 1\n",
    "    Y: Species = 0.5\n",
    "    remove_rate: Parameter = 0.2\n",
    "    remove_X = single.Destruction(A=X, rate=remove_rate)\n",
    "    remove_Y = single.Destruction(A=Y, rate=remove_rate)\n",
    "    my_reaction = single.Synthesis(A=X, B=Y, AB=0, rate=1)\n",
    "\n",
    "\n",
    "t = np.linspace(0, 10, 100)\n",
    "Simulator(Model).run(t=t).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4bc8b015",
   "metadata": {},
   "source": [
    "## Varying initial concentrations and parameters\n",
    "\n",
    "While we set the initial concentrations and parameter values when we create a model,\n",
    "they can be varied at the simulation stage.\n",
    "\n",
    "To vary them,\n",
    "we need to pass a `dict-like` to the `Simulator`.\n",
    "There are two ways to define the keys:\n",
    "\n",
    "- as a string:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4ff59d24",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_15_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Simulator(Model).run(t=t, values={\"X\": 5}).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01aff413",
   "metadata": {},
   "source": [
    "- as a `Compartment` attribute:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "907e259f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_17_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Simulator(Model).run(t=t, values={Model.X: 5}).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5da21fb",
   "metadata": {},
   "source": [
    "This last one is recommended,\n",
    "as it works with IDE's code completion, navigation and refactoring features."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35b23a6e",
   "metadata": {},
   "source": [
    "### Varying linked parameters independently\n",
    "\n",
    "In this last model,\n",
    "the two `Destruction` reactions share a `remove_rate` parameter.\n",
    "\n",
    "We can vary this parameter to vary both reactions simultaneously:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "93c7099c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_20_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Simulator(Model).run(t=t, values={Model.remove_rate: 0}).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00dd52b6",
   "metadata": {},
   "source": [
    "but we can also \"unlink\" them,\n",
    "and vary one reaction independently:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "67c04819",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_22_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "values = {\n",
    "    Model.remove_rate: 1,\n",
    "    Model.remove_Y.rate: 0,  # overrides remove_rate for remove_Y reaction\n",
    "}\n",
    "\n",
    "Simulator(Model).run(t=t, values=values).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d023fc3",
   "metadata": {},
   "source": [
    "## Extending models\n",
    "\n",
    "We can extend a `Compartment` by inheriting from it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "eae22794",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_24_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "class Base(EmptyCompartment):\n",
    "    create = single.Creation(A=0, rate=0.1)\n",
    "\n",
    "\n",
    "class Extended(Base):\n",
    "    remove = single.Destruction(A=1, rate=1)\n",
    "\n",
    "\n",
    "Simulator(Extended).run(t=t).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e95bd85",
   "metadata": {},
   "source": [
    "Note that two *anonymous* species were created in each reaction.\n",
    "\n",
    "To reuse an `Species` across models,\n",
    "we need to add an annotation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "305b7794",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: xlabel='time'>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "filenames": {
       "image/png": "/home/docs/checkouts/readthedocs.org/user_builds/simbio/checkouts/latest/docs/_build/jupyter_execute/model/static_26_1.png"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "class Base(EmptyCompartment):\n",
    "    A: Species = 1\n",
    "    create = single.Creation(A=A, rate=0.1)\n",
    "\n",
    "\n",
    "class Extended(Base):\n",
    "    A: Species\n",
    "    remove = single.Destruction(A=A, rate=1)\n",
    "\n",
    "\n",
    "Simulator(Extended).run(t=t).plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89000aa0",
   "metadata": {},
   "source": [
    "### Overriding\n",
    "\n",
    "When extending models,\n",
    "`SimBio` raises an error if we are redefining some `Species`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "6e1a6337",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Collision with existing components. Use Species[Override] or Parameter[Override]. Collisions: {'A'}\n"
     ]
    }
   ],
   "source": [
    "class Base(EmptyCompartment):\n",
    "    A: Species = 1\n",
    "\n",
    "try:\n",
    "    class Extended(Base):\n",
    "        A: Species = 2\n",
    "except ValueError as e:\n",
    "    print(e)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f395ed2",
   "metadata": {},
   "source": [
    "This is useful to prevent mistakes.\n",
    "\n",
    "If we want to override an species' initial condition,\n",
    "we need to be explicit about it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f42bc3f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "from simbio.components import Override\n",
    "\n",
    "\n",
    "class Base(EmptyCompartment):\n",
    "    A: Species = 1\n",
    "\n",
    "\n",
    "class Extended(Base):\n",
    "    A: Species[Override] = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "242a1c5f",
   "metadata": {},
   "source": [
    "The same is valid for reactions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9f924a5a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from simbio.components import Reaction\n",
    "\n",
    "\n",
    "class Base(EmptyCompartment):\n",
    "    my_reaction = single.Creation(A=1, rate=1)\n",
    "\n",
    "\n",
    "class Extended(Base):\n",
    "    my_reaction: Reaction[Override] = single.Destruction(A=1, rate=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6751f49",
   "metadata": {},
   "source": [
    "### Combining multiple models"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab383a62",
   "metadata": {},
   "source": [
    "It is also possible to inherit from multiple compartments simultaneously:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d98ed1d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "class ModelA(EmptyCompartment):\n",
    "    A: Species = 1\n",
    "    S: Species = 3\n",
    "\n",
    "class ModelB(EmptyCompartment):\n",
    "    B: Species = 2\n",
    "    S: Species = 3\n",
    "\n",
    "class Joint(ModelA, ModelB):\n",
    "    pass"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77646d56",
   "metadata": {},
   "source": [
    "As there are no collisions,\n",
    "`Joint` has three species:\n",
    "`A`, `B` and `S`.\n",
    "\n",
    "If there are collisions between the models,\n",
    "`SimBio` raises an error:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "d0a29a43",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Collision with existing components. Use Species[Override] or Parameter[Override]. Collisions: {'S'}\n"
     ]
    }
   ],
   "source": [
    "class ModelA(EmptyCompartment):\n",
    "    A: Species = 1\n",
    "    S: Species = 3\n",
    "\n",
    "class ModelB(EmptyCompartment):\n",
    "    B: Species = 2\n",
    "    S: Species = 30\n",
    "\n",
    "try:\n",
    "    class Joint(ModelA, ModelB):\n",
    "        pass\n",
    "except ValueError as e:\n",
    "    print(e)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a08599d9",
   "metadata": {},
   "source": [
    "We have to be explicit which one we want to keep,\n",
    "by overriding with a (possibly new) value:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "d3d1d3ae",
   "metadata": {},
   "outputs": [],
   "source": [
    "class ModelA(EmptyCompartment):\n",
    "    A: Species = 1\n",
    "    S: Species = 3\n",
    "\n",
    "class ModelB(EmptyCompartment):\n",
    "    B: Species = 2\n",
    "    S: Species = 30\n",
    "\n",
    "class Joint(ModelA, ModelB):\n",
    "    S: Species[Override] = 42"
   ]
  }
 ],
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