{
  "software": {
    "numpy": "2.5.3",
    "scipy": "1.18.1",
    "matplotlib": "3.11.1"
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  "experiment": {
    "source": "10.1038/s41556-025-01812-9, Source Data, Fig. 3",
    "xlsx_sha256": "290a6f9a570495240ecb09882a80b4fe27ebb3ad9bea9e74c2983aa3c6d07b3f",
    "statistics": [
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        "assay": "Kap95",
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        "median": 1.49102,
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        "assay": "Kap95",
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        "n_in_column": 118,
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        "q75": 1.3281775
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      {
        "assay": "Kap95",
        "group": "Nsp1FGx2",
        "n_in_column": 138,
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        "median": 1.651125,
        "q25": 1.48402,
        "q75": 1.8495125000000001
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      {
        "assay": "NLS",
        "group": "WT",
        "n_in_column": 99,
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        "median": 3.51363,
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        "q75": 4.162800000000001
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      {
        "assay": "NLS",
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        "n_in_column": 131,
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        "median": 3.20319,
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        "q75": 3.918335
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      {
        "assay": "NLS",
        "group": "Nsp1FGx2",
        "n_in_column": 214,
        "n_in_caption": 215,
        "median": 2.6707850000000004,
        "q25": 2.224915,
        "q75": 3.11826
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      {
        "assay": "MG4",
        "group": "WT",
        "n_in_column": 120,
        "n_in_caption": 120,
        "median": 0.64266,
        "q25": 0.570785,
        "q75": 0.6974975
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      {
        "assay": "MG4",
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        "n_in_column": 120,
        "n_in_caption": 120,
        "median": 0.62776,
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        "q75": 0.6936950000000001
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      {
        "assay": "MG4",
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        "n_in_column": 120,
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        "median": 0.579175,
        "q25": 0.5106825,
        "q75": 0.618085
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    ],
    "scope": "Contiguous numeric cells from row 4; summary rows excluded. Four biological repeats are pooled; replicate IDs unavailable in these columns. No new inferential p-values.",
    "count_discrepancy": "Kap95 deltaFG has118 vs caption119; NLS deltaFG131 vs132; NLS Nsp1FGx2 214 vs215. Cause unresolved; no imputation.",
    "quartiles": "NumPy linear interpolation; can differ from author summary convention/rounding."
  },
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        ]
      },
      "analytic_checks": 180,
      "max_relative_error": 7.127631818093505e-13,
      "checks": [
        "absorption probability and mean exit time vs analytic expressions",
        "renewal flux vs full empty/occupied stationary generator",
        "zero net flux with equal reservoir arrivals"
      ]
    },
    "model_B": {
      "definition": "Equal compartment volumes; four cargo states C,Bc,Bn,N, with clamped receptor/Ran reservoirs collapsed into rates. Not a stoichiometric GTP-cycle simulation.",
      "rates": "C->Bc=Bn->N=exp(A/4); reverse=exp(-A/4); Bc<->Bn=kP; N<->C=0.02",
      "example": {
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        "leak": 0.02,
        "states_C_Bc_Bn_N": [
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        "free_N_over_C": 53.22342318151958,
        "cycle_current": 0.015689033301121046,
        "dissipation_kBT_per_model_time": 0.07225066840529698
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      "controls": [
        {
          "affinity": -4.605170185988092,
          "pore_rate": 0.01,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
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            0.5760131383564062,
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          "free_N_over_C": 0.17975537562779612,
          "cycle_current": -0.005413048334974303,
          "dissipation_kBT_per_model_time": 0.02492800880753614
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        {
          "affinity": -4.605170185988092,
          "pore_rate": 0.1,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
            0.6939705024688481,
            0.07362815655347128,
            0.207427486064631,
            0.02497385491304957
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          "free_N_over_C": 0.03598691129407281,
          "cycle_current": -0.013379932951115977,
          "dissipation_kBT_per_model_time": 0.06161686831699896
        },
        {
          "affinity": -4.605170185988092,
          "pore_rate": 1.0,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
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          "free_N_over_C": 0.018788720082687668,
          "cycle_current": -0.015689033301121064,
          "dissipation_kBT_per_model_time": 0.07225066840529705
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        {
          "affinity": -4.605170185988092,
          "pore_rate": 10.0,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
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            0.08625452902008794,
            0.08785098386677886,
            0.013833531883836075
          ],
          "free_N_over_C": 0.017035090524614594,
          "cycle_current": -0.015964548466909173,
          "dissipation_kBT_per_model_time": 0.07351946263257202
        },
        {
          "affinity": 0.0,
          "pore_rate": 0.01,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
            0.24999999999999978,
            0.24999999999999978,
            0.2500000000000002,
            0.2500000000000002
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          "free_N_over_C": 1.0000000000000018,
          "cycle_current": 1.0842021724855044e-18,
          "dissipation_kBT_per_model_time": 0.0
        },
        {
          "affinity": 0.0,
          "pore_rate": 0.1,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
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            0.25000000000000017,
            0.2500000000000002
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          "free_N_over_C": 1.0000000000000018,
          "cycle_current": -2.8189256484623115e-17,
          "dissipation_kBT_per_model_time": -0.0
        },
        {
          "affinity": 0.0,
          "pore_rate": 1.0,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
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            0.25,
            0.25,
            0.25
          ],
          "free_N_over_C": 1.0,
          "cycle_current": 0.0,
          "dissipation_kBT_per_model_time": 0.0
        },
        {
          "affinity": 0.0,
          "pore_rate": 10.0,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
            0.24999999999999994,
            0.24999999999999994,
            0.24999999999999997,
            0.2500000000000001
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          "free_N_over_C": 1.0000000000000007,
          "cycle_current": -3.382710778154774e-17,
          "dissipation_kBT_per_model_time": -0.0
        },
        {
          "affinity": 4.605170185988092,
          "pore_rate": 0.01,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
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            0.5760131383564062,
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            0.32996548676666637
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          "free_N_over_C": 5.563115965280579,
          "cycle_current": 0.005413048334974306,
          "dissipation_kBT_per_model_time": 0.024928008807536157
        },
        {
          "affinity": 4.605170185988092,
          "pore_rate": 0.1,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
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            0.6939705024688482
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          "free_N_over_C": 27.787880761100613,
          "cycle_current": 0.013379932951115966,
          "dissipation_kBT_per_model_time": 0.06161686831699891
        },
        {
          "affinity": 4.605170185988092,
          "pore_rate": 1.0,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
            0.0150210694218461,
            0.10059761470068816,
            0.08490858139956711,
            0.7994727344778986
          ],
          "free_N_over_C": 53.22342318151958,
          "cycle_current": 0.015689033301121046,
          "dissipation_kBT_per_model_time": 0.07225066840529698
        },
        {
          "affinity": 4.605170185988092,
          "pore_rate": 10.0,
          "leak": 0.02,
          "states_C_Bc_Bn_N": [
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            0.08785098386677885,
            0.08625452902008793,
            0.812060955229297
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          "free_N_over_C": 58.702359025040806,
          "cycle_current": 0.01596454846690925,
          "dissipation_kBT_per_model_time": 0.07351946263257238
        }
      ],
      "checks": [
        "probability conservation and positivity",
        "equal steady edge currents",
        "A=0 detailed balance gives free N/C=1 for all four tested pore rates",
        "reverse bias reverses gradient",
        "cycle current times affinity nonnegative"
      ]
    }
  }
}