diff --git a/docs/notebooks/Editing_Kinetics.ipynb b/docs/notebooks/Editing_Kinetics.ipynb
index 145f6bc..ce76e46 100644
--- a/docs/notebooks/Editing_Kinetics.ipynb
+++ b/docs/notebooks/Editing_Kinetics.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "ac7fdcca",
+   "id": "86d5d8a5",
    "metadata": {},
    "source": [
     "## Editing reaction kinetics\n",
@@ -12,7 +12,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "51e4b06a",
+   "id": "ec398d0f",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -21,7 +21,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "624e263a",
+   "id": "719e97a5",
    "metadata": {},
    "source": [
     "now lets create a new model: "
@@ -30,7 +30,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "03e06c2e",
+   "id": "bff10872",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -39,7 +39,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8ccddfb5",
+   "id": "bd513ab6",
    "metadata": {},
    "source": [
     "we know we can create a reaction, by using the `add_reaction` command. It requires at the very least two arguments: \n",
@@ -53,7 +53,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "6fb13e49",
+   "id": "0d2daeaa",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -62,7 +62,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a759d106",
+   "id": "eaea42a1",
    "metadata": {},
    "source": [
     "creates the reaction `R1`, species `A` and `B` and a local parameter `(R1).k1`. With `get_reactions` we can have a look at what was created: "
@@ -71,7 +71,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "f4105b56",
+   "id": "9a201872",
    "metadata": {},
    "outputs": [
     {
@@ -134,7 +134,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "153c334b",
+   "id": "f64abc5a",
    "metadata": {},
    "source": [
     "here I want to point out, the `mapping` column. It shows that the parameter `k1` is a local one, as it is mapped to a value. And that the substrate of the function is mapped to `A`. We can specify the mapping directly in the `add_reaction` call, or we can specify it using `set_reaction`. So for example, if we wanted to modify the reaction, to map the reactions `k1` parameter to a global quantity `global_k`, we could to that as follows: "
@@ -143,7 +143,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "96f852a4",
+   "id": "b9e54bdd",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -154,7 +154,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "63ecea1e",
+   "id": "d2265200",
    "metadata": {},
    "outputs": [
     {
@@ -217,7 +217,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb2b7277",
+   "id": "5321d797",
    "metadata": {},
    "source": [
     "next let us assume, i wanted to use a kinetic from the function database, that includes inhibition for the reaction. Using `get_functions` we can filter the functiondatabase, for suitable functions for our reaction, and then filter for ones that contain inhibition: "
@@ -226,7 +226,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "7b433631",
+   "id": "b0ef53ab",
    "metadata": {},
    "outputs": [
     {
@@ -327,7 +327,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6aceb40d",
+   "id": "b550042e",
    "metadata": {},
    "source": [
     "let us use `Allosteric inhibition (MWC)` here, lets have a look at the formula and the mapping table: "
@@ -336,7 +336,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "39678fd6",
+   "id": "2faf9910",
    "metadata": {},
    "outputs": [
     {
@@ -364,7 +364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2e21b9e9",
+   "id": "b2aadc12",
    "metadata": {},
    "source": [
     "since this function requires a modifier, we also change the reaction scheme to include a modifier. This is done by adding a semicolon at the end of the reaction scheme, and listing the modifiers space separated there. Then we an assign that function directly. "
@@ -373,7 +373,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "3573e0d7",
+   "id": "a44ab0c2",
    "metadata": {},
    "outputs": [
     {
@@ -441,7 +441,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e67bcbb",
+   "id": "6666b360",
    "metadata": {},
    "source": [
     "*Note:* that here, the mapping is not necessary, as the function has only one modifier, had we multiple modifiers defined, then we'd want to specify the mapping dictionary and map the `Inhibitor` to the respective modifier in our reaction scheme: "
@@ -450,7 +450,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "97c24b0b",
+   "id": "e588d15a",
    "metadata": {},
    "outputs": [
     {
@@ -518,16 +518,16 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a36fb78b",
+   "id": "111ed9d0",
    "metadata": {},
    "source": [
-    "*Note:* Assigning a function that uses modifiers, *requires* that modifiers are present in the reaction scheme. So assigning the function above would fail with error, if no modifier is declared: "
+    "*Note:* Assigning a function that uses modifiers, *requires* that modifiers are present in the reaction scheme, or that *all modifiers* are specified in the mapping parameter. So assigning the function above would fail with error, if no modifier is declared: "
    ]
   },
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "2b86b131",
+   "id": "e4fd7589",
    "metadata": {},
    "outputs": [
     {
@@ -536,10 +536,161 @@
      "text": [
       "ERROR:root:the mapping for reaction \"error\" with function \"Allosteric inhibition (MWC)\" is not valid and cannot be applied.\n"
      ]
+    },
+    {
+     "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>scheme</th>\n",
+       "      <th>function</th>\n",
+       "      <th>mapping</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>name</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>R1</th>\n",
+       "      <td>A -&gt; B;  D</td>\n",
+       "      <td>Allosteric inhibition (MWC)</td>\n",
+       "      <td>{'substrate': 'A', 'Inhibitor': 'D', 'V': 0.1,...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>error</th>\n",
+       "      <td>A -&gt; B</td>\n",
+       "      <td>Mass action (irreversible)</td>\n",
+       "      <td>{'k1': 0.1, 'substrate': 'A'}</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "           scheme                     function  \\\n",
+       "name                                             \n",
+       "R1     A -> B;  D  Allosteric inhibition (MWC)   \n",
+       "error      A -> B   Mass action (irreversible)   \n",
+       "\n",
+       "                                                 mapping  \n",
+       "name                                                      \n",
+       "R1     {'substrate': 'A', 'Inhibitor': 'D', 'V': 0.1,...  \n",
+       "error                      {'k1': 0.1, 'substrate': 'A'}  "
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
     }
    ],
    "source": [
-    "add_reaction('error', scheme='A -> B', function='Allosteric inhibition (MWC)');"
+    "add_reaction('error', scheme='A -> B', function='Allosteric inhibition (MWC)');\n",
+    "get_reactions()[['scheme', 'function', 'mapping']]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "fca16b2a",
+   "metadata": {},
+   "source": [
+    "However, it will succeeed, if the modifier is specified. in the mapping parameter: "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "359b2f58",
+   "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>scheme</th>\n",
+       "      <th>function</th>\n",
+       "      <th>mapping</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>name</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>R1</th>\n",
+       "      <td>A -&gt; B;  D</td>\n",
+       "      <td>Allosteric inhibition (MWC)</td>\n",
+       "      <td>{'substrate': 'A', 'Inhibitor': 'D', 'V': 0.1,...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>now_it_works</th>\n",
+       "      <td>A -&gt; B;  D</td>\n",
+       "      <td>Allosteric inhibition (MWC)</td>\n",
+       "      <td>{'substrate': 'A', 'Inhibitor': 'D', 'V': 0.1,...</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "                  scheme                     function  \\\n",
+       "name                                                    \n",
+       "R1            A -> B;  D  Allosteric inhibition (MWC)   \n",
+       "now_it_works  A -> B;  D  Allosteric inhibition (MWC)   \n",
+       "\n",
+       "                                                        mapping  \n",
+       "name                                                             \n",
+       "R1            {'substrate': 'A', 'Inhibitor': 'D', 'V': 0.1,...  \n",
+       "now_it_works  {'substrate': 'A', 'Inhibitor': 'D', 'V': 0.1,...  "
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "set_reaction('error', new_name='now_it_works', function='Allosteric inhibition (MWC)', mapping={'Inhibitor': 'D'})\n",
+    "get_reactions()[['scheme', 'function', 'mapping']]"
    ]
   }
  ],