{
  "squares": [
    {
      "tail": 0,
      "sites": [
        0,
        1
      ],
      "path_ratio": "1/2",
      "log_effective_affinity": -0.6931471805599453
    },
    {
      "tail": 0,
      "sites": [
        0,
        2
      ],
      "path_ratio": "14/15",
      "log_effective_affinity": -0.06899287148695143
    },
    {
      "tail": 0,
      "sites": [
        1,
        2
      ],
      "path_ratio": "27/40",
      "log_effective_affinity": -0.3930425881096072
    },
    {
      "tail": 1,
      "sites": [
        1,
        2
      ],
      "path_ratio": "1/15",
      "log_effective_affinity": -2.70805020110221
    },
    {
      "tail": 2,
      "sites": [
        0,
        2
      ],
      "path_ratio": "80/243",
      "log_effective_affinity": -1.1110348086666668
    },
    {
      "tail": 4,
      "sites": [
        0,
        1
      ],
      "path_ratio": "25/14",
      "log_effective_affinity": 0.5798184952529422
    }
  ],
  "detailed_balance_ratios": [
    {
      "edge": 0,
      "kinase_reverse": "14657747274526847304/12218409315855913",
      "phosphatase_reverse": "12508391764640010915/1678352928002183",
      "kinase_binding_ratio": "1832218409315855913/227500000000000000",
      "kinase_catalytic_ratio": "227500000000000000/1832218409315855913",
      "phosphatase_binding_ratio": "2501678352928002183/500000000000000000",
      "phosphatase_catalytic_ratio": "500000000000000000/2501678352928002183"
    },
    {
      "edge": 1,
      "kinase_reverse": "503356705856004383/3356705856004383",
      "phosphatase_reverse": "500050005/10001",
      "kinase_binding_ratio": "503356705856004383/500000000000000000",
      "kinase_catalytic_ratio": "500000000000000000/503356705856004383",
      "phosphatase_binding_ratio": "100010001/20000000",
      "phosphatase_catalytic_ratio": "20000000/100010001"
    },
    {
      "edge": 2,
      "kinase_reverse": "7041527823019304979/5932546145614997",
      "phosphatase_reverse": "70046993881984061089/6713411712008727",
      "kinase_binding_ratio": "7041527823019304979/1000000000000000000",
      "kinase_catalytic_ratio": "1000000000000000000/7041527823019304979",
      "phosphatase_binding_ratio": "70046993881984061089/10000000000000000000",
      "phosphatase_catalytic_ratio": "10000000000000000000/70046993881984061089"
    },
    {
      "edge": 3,
      "kinase_reverse": "8582383711054793335456805625671635050157697/8574666425523551582520625671635050157697",
      "phosphatase_reverse": "80053707293696070232/6713411712008779",
      "kinase_binding_ratio": "8582383711054793335456805625671635050157697/8573809044629269783874285000000000000000000",
      "kinase_catalytic_ratio": "8573809044629269783874285000000000000000000/8582383711054793335456805625671635050157697",
      "phosphatase_binding_ratio": "10006713411712008779/1250000000000000000",
      "phosphatase_catalytic_ratio": "1250000000000000000/10006713411712008779"
    },
    {
      "edge": 4,
      "kinase_reverse": "4017133698827174596/4283424706793649",
      "phosphatase_reverse": "600077290726632293418/12881787772048903",
      "kinase_binding_ratio": "1004283424706793649/250000000000000000",
      "kinase_catalytic_ratio": "250000000000000000/1004283424706793649",
      "phosphatase_binding_ratio": "300038645363316146709/50000000000000000000",
      "phosphatase_catalytic_ratio": "50000000000000000000/300038645363316146709"
    },
    {
      "edge": 5,
      "kinase_reverse": "2070335024451385641305904297515436952188492196/517118344435063360519194378859238047123049",
      "phosphatase_reverse": "4002685364684803426/1342682342401713",
      "kinase_binding_ratio": "517583756112846410326476074378859238047123049/129266659442102836741489220000000000000000000",
      "kinase_catalytic_ratio": "129266659442102836741489220000000000000000000/517583756112846410326476074378859238047123049",
      "phosphatase_binding_ratio": "2001342682342401713/1000000000000000000",
      "phosphatase_catalytic_ratio": "1000000000000000000/2001342682342401713"
    },
    {
      "edge": 6,
      "kinase_reverse": "90090009/10001",
      "phosphatase_reverse": "625419588232000546/209794116000273",
      "kinase_binding_ratio": "90090009/10000000",
      "kinase_catalytic_ratio": "10000000/90090009",
      "phosphatase_binding_ratio": "312709794116000273/156250000000000000",
      "phosphatase_catalytic_ratio": "156250000000000000/312709794116000273"
    },
    {
      "edge": 7,
      "kinase_reverse": "215314842542942927834839111851595752575556799208/26890153910475937125131221449469071944599901",
      "phosphatase_reverse": "900090009/10001",
      "kinase_binding_ratio": "26914355317867865979354888981449469071944599901/3360933145494673755278719720000000000000000000",
      "kinase_catalytic_ratio": "3360933145494673755278719720000000000000000000/26914355317867865979354888981449469071944599901",
      "phosphatase_binding_ratio": "900090009/100000000",
      "phosphatase_catalytic_ratio": "100000000/900090009"
    },
    {
      "edge": 8,
      "kinase_reverse": "13533985893747660378862794384660344335762987928/11281663971120669718489438082543041970373491",
      "phosphatase_reverse": "70046993881984061117/6713411712008731",
      "kinase_binding_ratio": "1691748236718457547357849298082543041970373491/210058321593417109704919982500000000000000000",
      "kinase_catalytic_ratio": "210058321593417109704919982500000000000000000/1691748236718457547357849298082543041970373491",
      "phosphatase_binding_ratio": "70046993881984061117/10000000000000000000",
      "phosphatase_catalytic_ratio": "10000000000000000000/70046993881984061117"
    },
    {
      "edge": 9,
      "kinase_reverse": "4026800146021729272/3350018252716159",
      "phosphatase_reverse": "3002014023513602622/335670585600437",
      "kinase_binding_ratio": "503350018252716159/62500000000000000",
      "kinase_catalytic_ratio": "62500000000000000/503350018252716159",
      "phosphatase_binding_ratio": "1501007011756801311/250000000000000000",
      "phosphatase_catalytic_ratio": "250000000000000000/1501007011756801311"
    },
    {
      "edge": 10,
      "kinase_reverse": "135339858937476577454843615534369777927452438865/180506623537925448738965346873955585490487773",
      "phosphatase_reverse": "200020002/10001",
      "kinase_binding_ratio": "27067971787495315490968723106873955585490487773/5377493032791478008445951552000000000000000000",
      "kinase_catalytic_ratio": "5377493032791478008445951552000000000000000000/27067971787495315490968723106873955585490487773",
      "phosphatase_binding_ratio": "100010001/50000000",
      "phosphatase_catalytic_ratio": "50000000/100010001"
    },
    {
      "edge": 11,
      "kinase_reverse": "485228223933129909526432909614789544688959940202/208975163649481461049544989131590781493323367",
      "phosphatase_reverse": "1563261877028518355/152375405703671",
      "kinase_binding_ratio": "80871370655521651587738818269131590781493323367/13443732581978695021114878880000000000000000000",
      "kinase_catalytic_ratio": "13443732581978695021114878880000000000000000000/80871370655521651587738818269131590781493323367",
      "phosphatase_binding_ratio": "312652375405703671/62500000000000000",
      "phosphatase_catalytic_ratio": "62500000000000000/312652375405703671"
    }
  ],
  "scope": "Effective pathway affinity differs from the common ATP-hydrolysis potential. Nonzero square affinity is necessary, not sufficient, for more than n sinks."
}