{
  "esm": "1.3.0",
  "metadata": {
    "name": "decay",
    "x_esd": {
      "narrative": {
        "version": 1,
        "models": {
          "Decay": {
            "description": "First-order radioactive decay"
          },
          "TwoBox": {
            "description": "Two well-mixed boxes exchanging mass"
          }
        },
        "sources": [
          {
            "path": "/models/Decay",
            "element": 0,
            "source": {
              "file": "decay.md",
              "line": 15
            }
          },
          {
            "path": "/models/Decay/variables/N",
            "element": 1,
            "source": {
              "file": "decay.md",
              "line": 18,
              "column": 1
            }
          },
          {
            "path": "/models/Decay/variables/lambda",
            "element": 2,
            "source": {
              "file": "decay.md",
              "line": 20,
              "column": 20
            }
          },
          {
            "path": "/models/Decay/equations/0",
            "element": 3,
            "source": {
              "file": "decay.md",
              "line": 22
            }
          },
          {
            "path": "/models/Decay/tests/0",
            "element": 4,
            "source": {
              "file": "decay.md",
              "line": 36,
              "end_line": 42
            }
          },
          {
            "path": "/models/Decay/analyses/0/plots/0",
            "element": 5,
            "source": {
              "file": "decay.md",
              "line": 49,
              "end_line": 51
            }
          },
          {
            "path": "/models/Decay/analyses/1/plots/0",
            "element": 6,
            "source": {
              "file": "decay.md",
              "line": 56,
              "end_line": 63
            }
          },
          {
            "path": "/models/TwoBox",
            "element": 7,
            "source": {
              "file": "decay.md",
              "line": 70
            }
          },
          {
            "path": "/models/TwoBox/variables/A",
            "element": 8,
            "source": {
              "file": "decay.md",
              "line": 72,
              "column": 13
            }
          },
          {
            "path": "/models/TwoBox/variables/B",
            "element": 9,
            "source": {
              "file": "decay.md",
              "line": 73,
              "column": 7
            }
          },
          {
            "path": "/models/TwoBox/variables/k_ab",
            "element": 10,
            "source": {
              "file": "decay.md",
              "line": 74,
              "column": 21
            }
          },
          {
            "path": "/models/TwoBox/variables/k_ba",
            "element": 11,
            "source": {
              "file": "decay.md",
              "line": 75,
              "column": 18
            }
          },
          {
            "path": "/models/TwoBox/equations/0",
            "element": 12,
            "source": {
              "file": "decay.md",
              "line": 77
            }
          },
          {
            "path": "/models/TwoBox/equations/1",
            "element": 13,
            "source": {
              "file": "decay.md",
              "line": 79
            }
          },
          {
            "path": "/models/TwoBox/tests/0",
            "element": 14,
            "source": {
              "file": "decay.md",
              "line": 84,
              "end_line": 90
            }
          },
          {
            "path": "/models/TwoBox/analyses/1/plots/0",
            "element": 15,
            "source": {
              "file": "decay.md",
              "line": 92,
              "end_line": 95
            }
          },
          {
            "path": "/models/TwoBox/analyses/0",
            "element": 16,
            "source": {
              "file": "decay.md",
              "line": 100,
              "end_line": 115
            }
          }
        ],
        "labels": {
          "eq-a": "/models/TwoBox/equations/0",
          "eq-b": "/models/TwoBox/equations/1",
          "eq-decay": "/models/Decay/equations/0"
        }
      }
    }
  },
  "models": {
    "Decay": {
      "variables": {
        "N": {
          "type": "unknown",
          "units": "mol",
          "default": 100.0,
          "description": "Amount of nitrogen"
        },
        "lambda": {
          "type": "parameter",
          "units": "1/s",
          "default": 0.1,
          "description": "Decay constant"
        }
      },
      "equations": [
        {
          "lhs": {
            "op": "D",
            "args": [
              "N"
            ],
            "wrt": "t"
          },
          "rhs": {
            "op": "-",
            "args": [
              {
                "op": "*",
                "args": [
                  "lambda",
                  "N"
                ]
              }
            ]
          }
        }
      ],
      "tests": [
        {
          "id": "half-life",
          "time_span": {
            "start": 0.0,
            "end": 10.0
          },
          "assertions": [
            {
              "variable": "N",
              "time": 6.931471805599453,
              "expected": 50.0,
              "tolerance": {
                "rel": 0.0001
              }
            }
          ]
        }
      ],
      "analyses": [
        {
          "id": "decay",
          "time_span": {
            "start": 0.0,
            "end": 50.0
          },
          "plots": [
            {
              "id": "decay",
              "type": "line",
              "description": "The sample decays to about 0.7% of its initial amount in 50 s.",
              "x": {
                "variable": "t"
              },
              "y": {
                "variable": "N"
              }
            }
          ]
        },
        {
          "id": "rates",
          "time_span": {
            "start": 0.0,
            "end": 50.0
          },
          "parameter_sweep": {
            "type": "cartesian",
            "dimensions": [
              {
                "parameter": "lambda",
                "values": [
                  0.05,
                  0.1,
                  0.2
                ]
              }
            ]
          },
          "plots": [
            {
              "id": "rates",
              "type": "line",
              "description": "Faster decay constants empty the sample sooner.",
              "x": {
                "variable": "t"
              },
              "y": {
                "variable": "N"
              }
            }
          ]
        }
      ]
    },
    "TwoBox": {
      "variables": {
        "A": {
          "type": "unknown",
          "units": "mol",
          "default": 1.0,
          "description": "Mass in box A"
        },
        "B": {
          "type": "unknown",
          "units": "mol",
          "default": 0.0,
          "description": "Mass in box B"
        },
        "k_ab": {
          "type": "parameter",
          "units": "1/s",
          "default": 0.3,
          "description": "Transfer rate, A to B"
        },
        "k_ba": {
          "type": "parameter",
          "units": "1/s",
          "default": 0.1,
          "description": "Transfer rate, B to A"
        }
      },
      "equations": [
        {
          "lhs": {
            "op": "D",
            "args": [
              "A"
            ],
            "wrt": "t"
          },
          "rhs": {
            "op": "+",
            "args": [
              {
                "op": "-",
                "args": [
                  {
                    "op": "*",
                    "args": [
                      "k_ab",
                      "A"
                    ]
                  }
                ]
              },
              {
                "op": "*",
                "args": [
                  "k_ba",
                  "B"
                ]
              }
            ]
          }
        },
        {
          "lhs": {
            "op": "D",
            "args": [
              "B"
            ],
            "wrt": "t"
          },
          "rhs": {
            "op": "-",
            "args": [
              {
                "op": "*",
                "args": [
                  "k_ab",
                  "A"
                ]
              },
              {
                "op": "*",
                "args": [
                  "k_ba",
                  "B"
                ]
              }
            ]
          }
        }
      ],
      "tests": [
        {
          "id": "equilibrium",
          "time_span": {
            "start": 0.0,
            "end": 100.0
          },
          "assertions": [
            {
              "variable": "B",
              "time": 100.0,
              "expected": 0.75,
              "tolerance": {
                "rel": 0.001
              }
            }
          ]
        }
      ],
      "analyses": [
        {
          "id": "rates",
          "time_span": {
            "start": 0.0,
            "end": 100.0
          },
          "parameter_sweep": {
            "type": "cartesian",
            "dimensions": [
              {
                "parameter": "k_ab",
                "range": {
                  "start": 0.1,
                  "stop": 1.0,
                  "count": 8
                }
              },
              {
                "parameter": "k_ba",
                "range": {
                  "start": 0.01,
                  "stop": 1.0,
                  "count": 8,
                  "scale": "log"
                }
              }
            ]
          },
          "plots": [
            {
              "id": "final_B",
              "type": "heatmap",
              "description": "The share of mass in box B at equilibrium, over both rate constants.",
              "x": {
                "variable": "k_ab"
              },
              "y": {
                "variable": "k_ba"
              },
              "value": {
                "variable": "B",
                "reduce": "final"
              }
            }
          ]
        },
        {
          "id": "boxes",
          "time_span": {
            "start": 0.0,
            "end": 20.0
          },
          "plots": [
            {
              "id": "boxes",
              "type": "line",
              "description": "Mass moves from A to B until the two flows balance.",
              "x": {
                "variable": "t"
              },
              "y": [
                {
                  "variable": "A"
                },
                {
                  "variable": "B"
                }
              ]
            }
          ]
        }
      ]
    }
  }
}