{ 
  "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "execution": {},
    "id": "view-in-github"
   },
  "source": ["<a href=\"https://github/mannazsci/DiscoverLearning/blob/gh-pages/intro/HHmodel.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a> &nbsp;>"]
  }
 ],
 "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
  "widgets": {
      "application/vnd.jupyter.widget-state+json": {
        "a542bf9a96d2408cbf227058c4afbae1": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "VBoxModel",
          "model_module_version": "1.5.0",
          "state": {
            "_dom_classes": [
              "widget-interact"
            ],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "VBoxModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "VBoxView",
            "box_style": "",
            "children": [
              "IPY_MODEL_09386aaf16b741ab835855805045783b",
              "IPY_MODEL_37bd7798e314412497f1be29af682e3d",
              "IPY_MODEL_90b2b04d10014a9f941f4800ad1db1a5",
              "IPY_MODEL_13b01a3e9d3e4f7c833d9a5d5f7a5698",
              "IPY_MODEL_615442c45b5a429a8a51175ca1214fd3",
              "IPY_MODEL_9e4ff8726fcd4604aae8f355a20bed5f",
              "IPY_MODEL_6d8fc8a3a6824c53ab25a1f143201148"
            ],
            "layout": "IPY_MODEL_dbdf6f669a8d410e825301f8e6f70938"
          }
        },
        "09386aaf16b741ab835855805045783b": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "FloatSliderModel",
          "model_module_version": "1.5.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "FloatSliderModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "FloatSliderView",
            "continuous_update": false,
            "description": "C membrane capacitance",
            "description_tooltip": null,
            "disabled": false,
            "layout": "IPY_MODEL_c78c091db8c54771a262d51eced9e409",
            "max": 2,
            "min": 0.1,
            "orientation": "horizontal",
            "readout": true,
            "readout_format": ".2f",
            "step": 0.1,
            "style": "IPY_MODEL_b9c94a36345d4ae7bf51b5c6a50a1e0b",
            "value": 1
          }
        },
        "37bd7798e314412497f1be29af682e3d": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "FloatSliderModel",
          "model_module_version": "1.5.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "FloatSliderModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "FloatSliderView",
            "continuous_update": false,
            "description": "gNa conductance",
            "description_tooltip": null,
            "disabled": false,
            "layout": "IPY_MODEL_e18528ec2db1453e9c40cee532f324af",
            "max": 5,
            "min": 0,
            "orientation": "horizontal",
            "readout": true,
            "readout_format": ".2f",
            "step": 0.1,
            "style": "IPY_MODEL_15de2b463a8c4f33aedc3a606fca842c",
            "value": 2
          }
        },
        "90b2b04d10014a9f941f4800ad1db1a5": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "FloatSliderModel",
          "model_module_version": "1.5.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "FloatSliderModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "FloatSliderView",
            "continuous_update": false,
            "description": "gK conductance",
            "description_tooltip": null,
            "disabled": false,
            "layout": "IPY_MODEL_5eecdd75e3754b69956fdc97e8230dea",
            "max": 5,
            "min": 0,
            "orientation": "horizontal",
            "readout": true,
            "readout_format": ".2f",
            "step": 0.1,
            "style": "IPY_MODEL_afbd9a157ff643ddbfac9c76584d2ac2",
            "value": 1.44
          }
        },
        "13b01a3e9d3e4f7c833d9a5d5f7a5698": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "FloatSliderModel",
          "model_module_version": "1.5.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "FloatSliderModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "FloatSliderView",
            "continuous_update": false,
            "description": "gLeak conductance",
            "description_tooltip": null,
            "disabled": false,
            "layout": "IPY_MODEL_96033c6e4b444ca8afa7e356438b9e38",
            "max": 1,
            "min": 0,
            "orientation": "horizontal",
            "readout": true,
            "readout_format": ".2f",
            "step": 0.1,
            "style": "IPY_MODEL_250eb014735948b29a68f1a71e12d810",
            "value": 0.2
          }
        },
        "615442c45b5a429a8a51175ca1214fd3": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "FloatSliderModel",
          "model_module_version": "1.5.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "FloatSliderModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "FloatSliderView",
            "continuous_update": false,
            "description": "Input current",
            "description_tooltip": null,
            "disabled": false,
            "layout": "IPY_MODEL_e72beacddc4044bcad5d3c17099446d9",
            "max": 10,
            "min": 0,
            "orientation": "horizontal",
            "readout": true,
            "readout_format": ".2f",
            "step": 0.1,
            "style": "IPY_MODEL_84be298d87ad4d6c98e0664100ac6efe",
            "value": 2
          }
        },
        "9e4ff8726fcd4604aae8f355a20bed5f": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ButtonModel",
          "model_module_version": "1.5.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "ButtonModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "ButtonView",
            "button_style": "",
            "description": "Run Interact",
            "disabled": false,
            "icon": "",
            "layout": "IPY_MODEL_1905987965f14253ad8591c7071ffc63",
            "style": "IPY_MODEL_b348470bc7f341a999f3519462aefdb7",
            "tooltip": ""
          }
        },
        "6d8fc8a3a6824c53ab25a1f143201148": {
          "model_module": "@jupyter-widgets/output",
          "model_name": "OutputModel",
          "model_module_version": "1.0.0",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/output",
            "_model_module_version": "1.0.0",
            "_model_name": "OutputModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/output",
            "_view_module_version": "1.0.0",
            "_view_name": "OutputView",
            "layout": "IPY_MODEL_58382b34a7ac4c4d991d6e90d4391def",
            "msg_id": "",
            "outputs": []
          }
        },
        "dbdf6f669a8d410e825301f8e6f70938": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "model_module_version": "1.2.0",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "c78c091db8c54771a262d51eced9e409": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "model_module_version": "1.2.0",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "b9c94a36345d4ae7bf51b5c6a50a1e0b": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "SliderStyleModel",
          "model_module_version": "1.5.0",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "SliderStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": "initial",
            "handle_color": null
          }
        },
        "e18528ec2db1453e9c40cee532f324af": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "model_module_version": "1.2.0",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "15de2b463a8c4f33aedc3a606fca842c": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "SliderStyleModel",
          "model_module_version": "1.5.0",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "SliderStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": "initial",
            "handle_color": null
          }
        },
        "5eecdd75e3754b69956fdc97e8230dea": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "model_module_version": "1.2.0",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "afbd9a157ff643ddbfac9c76584d2ac2": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "SliderStyleModel",
          "model_module_version": "1.5.0",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "SliderStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": "initial",
            "handle_color": null
          }
        },
        "96033c6e4b444ca8afa7e356438b9e38": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "model_module_version": "1.2.0",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "250eb014735948b29a68f1a71e12d810": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "SliderStyleModel",
          "model_module_version": "1.5.0",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "SliderStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": "initial",
            "handle_color": null
          }
        },
        "e72beacddc4044bcad5d3c17099446d9": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "model_module_version": "1.2.0",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "84be298d87ad4d6c98e0664100ac6efe": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "SliderStyleModel",
          "model_module_version": "1.5.0",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "SliderStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": "",
            "handle_color": null
          }
        },
        "1905987965f14253ad8591c7071ffc63": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "model_module_version": "1.2.0",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "b348470bc7f341a999f3519462aefdb7": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ButtonStyleModel",
          "model_module_version": "1.5.0",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "ButtonStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "button_color": null,
            "font_weight": ""
          }
        },
        "58382b34a7ac4c4d991d6e90d4391def": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "model_module_version": "1.2.0",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        }
      }
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "# Hodgkin-Huxley model\n",
        "\n",
        "In this section you will interact with the famous Hodgkin-Huxley (HH) Neuron Model.\n",
        "This was a mathematical model of a neuron's membrane potential based on careful experiments that studied the electrical properties of a squid's giant axon, which is visible to the naked eye.\n",
        "\n",
        "\n",
        "![squid](https://live.staticflickr.com/3844/14356033761_a360af2143.jpg)\n",
        "\n",
        "<font size =1><i> Image credit: National Institute of Health, USA</i></font>\n",
        "\n",
        "\n",
        "\n",
        "The HH Model is more realistic than many commonly used models of neurons. and captures the rich dynamics of a neuron's membrane as a function of its transmembrane conductances.\n",
        "\n"
      ],
      "metadata": {
        "id": "6plNGvLnt4EU"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install interact --quiet\n",
        "!pip install interactive --quiet"
      ],
      "metadata": {
        "id": "dK7zScO0yTTH",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b5e23653-01d2-473c-87fa-27b5e6814364"
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "  Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Building wheel for interact (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Building wheel for interactive (setup.py) ... \u001b[?25l\u001b[?25hdone\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 227,
          "referenced_widgets": [
            "a542bf9a96d2408cbf227058c4afbae1",
            "09386aaf16b741ab835855805045783b",
            "37bd7798e314412497f1be29af682e3d",
            "90b2b04d10014a9f941f4800ad1db1a5",
            "13b01a3e9d3e4f7c833d9a5d5f7a5698",
            "615442c45b5a429a8a51175ca1214fd3",
            "9e4ff8726fcd4604aae8f355a20bed5f",
            "6d8fc8a3a6824c53ab25a1f143201148",
            "dbdf6f669a8d410e825301f8e6f70938",
            "c78c091db8c54771a262d51eced9e409",
            "b9c94a36345d4ae7bf51b5c6a50a1e0b",
            "e18528ec2db1453e9c40cee532f324af",
            "15de2b463a8c4f33aedc3a606fca842c",
            "5eecdd75e3754b69956fdc97e8230dea",
            "afbd9a157ff643ddbfac9c76584d2ac2",
            "96033c6e4b444ca8afa7e356438b9e38",
            "250eb014735948b29a68f1a71e12d810",
            "e72beacddc4044bcad5d3c17099446d9",
            "84be298d87ad4d6c98e0664100ac6efe",
            "1905987965f14253ad8591c7071ffc63",
            "b348470bc7f341a999f3519462aefdb7",
            "58382b34a7ac4c4d991d6e90d4391def"
          ]
        },
        "id": "k-ve-uW4j3Q6",
        "outputId": "d129c4d5-1f47-4995-a914-ea1e1931ded2"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "interactive(children=(FloatSlider(value=1.0, continuous_update=False, description='C membrane capacitance', ma…"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "a542bf9a96d2408cbf227058c4afbae1"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<function __main__.HH_model(C, Gna, Gk, Gleak, Iin)>"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import ipywidgets as widgets\n",
        "from ipywidgets import interact, interactive, fixed, interact_manual\n",
        "from IPython.display import display\n",
        "\n",
        "def HH_model(C,Gna,Gk,Gleak,Iin):\n",
        "  dt      = 0.5; # all time units in ms\n",
        "  t_end = 1000;\n",
        "  num_timepoints = t_end/dt;\n",
        "  time    = int(num_timepoints);\n",
        "\n",
        "#  C       = 1; # (muF/cm^2)\n",
        "#  Gna     = 2.0; # (2mS/cm^2)\n",
        "#  Gk      = 1.44; # (1.44mS/cm^2)\n",
        "#  Gleak   = 0.2; # (0.2mS/cm^2)\n",
        "\n",
        "\n",
        "  Ena     = 50.0; # 50(mV)\n",
        "  Ek      = -80.0; # -77(mV)\n",
        "  Eleak   = -65.0; # -54(mV)\n",
        "\n",
        "  kn      = 15.0; # (mV)\n",
        "  km      = 7.0; # (mV);\n",
        "  tau     = 10.0; # (ms)\n",
        "  Vn      = -45.0; # (mV)\n",
        "\n",
        "  n       = np.zeros((time,1));      # this is our gating parameter\n",
        "  V       = Eleak*np.ones((time,1)); # this will store our membrane potential\n",
        "#  Iin     = 2.0;                     # and this is an input current (muA/cm^2)\n",
        "\n",
        "  x = np.arange(1, time, 1, dtype=int);\n",
        "\n",
        "\n",
        "  for t in x:\n",
        "      minf    = 1/(1+np.exp((-40.0-V[t-1])/km));\n",
        "      ninf    = 1/(1+np.exp((Vn-V[t-1])/kn));\n",
        "      h       = 0.89 - 1.1*n[t-1];\n",
        "\n",
        "      dvdt = (1/C)*(-Gna*minf**3*h*(V[t-1]-Ena) - Gk*n[t-1]**4*(V[t-1]-Ek) - Gleak*(V[t-1]-Eleak) + Iin);\n",
        "      dndt = (1/tau)*(ninf - n[t-1]);\n",
        "\n",
        "      V[t] = V[t-1] + dvdt*dt;\n",
        "      n[t] = n[t-1] + dndt*dt;\n",
        "\n",
        "  t = np.arange(0, t_end, 0.5, dtype=float);\n",
        "\n",
        "\n",
        "  plt.plot(t,V)\n",
        "  plt.ylabel('Voltage (mV)');\n",
        "  plt.xlabel('Time (ms)');\n",
        "  plt.ylim(-100,100);\n",
        "  plt.show\n",
        "\n",
        "\n",
        "interact_manual(HH_model, C = widgets.FloatSlider(\n",
        "    value=1.0,\n",
        "    min=0.1,\n",
        "    max=2.0,\n",
        "    step=0.1,\n",
        "    continuous_update=False,\n",
        "    style = {'description_width': 'initial'},\n",
        "    description='C membrane capacitance'),\n",
        "    Gna = widgets.FloatSlider(\n",
        "    value=2.0,\n",
        "    min=0.0,\n",
        "    max=5.0,\n",
        "    step=0.1,\n",
        "    continuous_update=False,\n",
        "    style = {'description_width': 'initial'},\n",
        "    description='gNa conductance'),\n",
        "    Gk = widgets.FloatSlider(\n",
        "    value=1.44,\n",
        "    min=0.0,\n",
        "    max=5.0,\n",
        "    step=0.1,\n",
        "    continuous_update=False,\n",
        "    style = {'description_width': 'initial'},\n",
        "    description='gK conductance'),\n",
        "    Gleak = widgets.FloatSlider(\n",
        "    value=0.2,\n",
        "    min=0.0,\n",
        "    max=1.0,\n",
        "    step=0.1,\n",
        "    continuous_update=False,\n",
        "    style = {'description_width': 'initial'},\n",
        "    description='gLeak conductance'),\n",
        "    Iin = widgets.FloatSlider(\n",
        "    value=2.0,\n",
        "    min=0.0,\n",
        "    max=10.0,\n",
        "    step=0.1,\n",
        "    continuous_update=False,\n",
        "    description='Input current')\n",
        ")"
      ]
    }
  ]
}