{
  "source_values": {
    "hcn2020_individual_values": 64,
    "hcn2020_summaries": [
      {
        "metric": "animal_mean_rate",
        "group": "WT",
        "n": 9,
        "mean": 522.9120722222222,
        "sem": 8.327157290981011
      },
      {
        "metric": "animal_mean_rate",
        "group": "HCN4FEA",
        "n": 11,
        "mean": 435.8786009090909,
        "sem": 13.64481977129912
      },
      {
        "metric": "cell_active_rate",
        "group": "WT",
        "n": 12,
        "mean": 203.79999999999998,
        "sem": 7.603587669945385
      },
      {
        "metric": "cell_active_rate",
        "group": "HCN4FEA",
        "n": 10,
        "mean": 207.6,
        "sem": 9.727486828569852
      },
      {
        "metric": "cell_nonfiring_time",
        "group": "WT",
        "n": 12,
        "mean": 6.392939999999999,
        "sem": 2.779929994345018
      },
      {
        "metric": "cell_nonfiring_time",
        "group": "HCN4FEA",
        "n": 10,
        "mean": 37.736035,
        "sem": 7.4199281598575615
      }
    ],
    "coupling1998_pairs": [
      {
        "experiment": "950111",
        "fast_ms": 331.0,
        "slow_ms": 358.0,
        "common_ms": 342.0,
        "arithmetic_mean_ms": 344.5,
        "common_position": 0.4074074074074074,
        "critical_conductance_nS": "≤0.50"
      },
      {
        "experiment": "950117",
        "fast_ms": 236.0,
        "slow_ms": 257.0,
        "common_ms": 245.0,
        "arithmetic_mean_ms": 246.5,
        "common_position": 0.42857142857142855,
        "critical_conductance_nS": "0.125–0.15"
      },
      {
        "experiment": "950131",
        "fast_ms": 344.0,
        "slow_ms": 424.0,
        "common_ms": 375.0,
        "arithmetic_mean_ms": 384.0,
        "common_position": 0.3875,
        "critical_conductance_nS": "0.20–0.30"
      },
      {
        "experiment": "950803-1",
        "fast_ms": 279.0,
        "slow_ms": 442.0,
        "common_ms": 310.0,
        "arithmetic_mean_ms": 360.5,
        "common_position": 0.1901840490797546,
        "critical_conductance_nS": "≤0.50"
      },
      {
        "experiment": "950803-2",
        "fast_ms": 310.0,
        "slow_ms": 390.0,
        "common_ms": 333.0,
        "arithmetic_mean_ms": 350.0,
        "common_position": 0.2875,
        "critical_conductance_nS": "0.15–0.17"
      }
    ],
    "human2018": {
      "table1_firing_cells": {
        "n_cells": 12,
        "n_hearts": 4,
        "CaT_cycle_baseline_ms": 1676,
        "CaT_cycle_stimulated_ms": 971,
        "CaT_cycle_reduction_fraction": 0.4206443914081146,
        "LCR_period_baseline_ms": 870,
        "LCR_period_stimulated_ms": 530,
        "LCR_period_reduction_fraction": 0.3908045977011494
      },
      "table2_simultaneous_cells": {
        "n_cells": 4,
        "n_hearts": 2,
        "AP_cycle_baseline_ms": 1698,
        "AP_cycle_stimulated_ms": 1211,
        "AP_cycle_reduction_fraction": 0.28680800942285045
      },
      "arrested_calcium_readout": {
        "responders": 4,
        "nonresponders": 4,
        "response_fraction": 0.5
      },
      "limits": "Rounded table means; no paired raw data or recalculated significance. Cell counts by donor sex are distinct from donor counts; no donor sex effects are inferred."
    }
  },
  "phase_model": {
    "equations": "theta1dot=2pi*1.2+K sin(theta2-theta1); theta2dot=2pi*.8+K sin(theta1-theta2)",
    "runs": [
      {
        "k": 0,
        "mean_rates_last_5_units": [
          1.1999999999999515,
          0.799999999999968
        ],
        "phase_difference_last_rad": 75.39822368615125
      },
      {
        "k": 0.4,
        "mean_rates_last_5_units": [
          1.1919020764358057,
          0.8080979235642097
        ],
        "phase_difference_last_rad": 71.02441585817135
      },
      {
        "k": 2.0,
        "mean_rates_last_5_units": [
          1.0000000000000726,
          1.0000000000000726
        ],
        "phase_difference_last_rad": 0.6793899267509573,
        "expected_phase_rad": 0.6793899267509509,
        "delay_fraction_of_common_cycle": 0.10812826512925454,
        "linear_stability_eigenvalue": -3.111824735312516
      }
    ]
  },
  "load_model": {
    "equations": "v_dot=v-v^3/3-w+.5+g(x-v); w_dot=.08(v+.7-.8w); x_dot=x-x^3/3-z+I_target+g(v-x)/M; z_dot=.08(x+.7-.8z)",
    "mass": 1.0,
    "runs": [
      {
        "g": 0.0,
        "target_drive": 0.0,
        "time_unit": "arbitrary",
        "window": [
          900.0,
          1200.0
        ],
        "pacemaker": {
          "peaks": 8,
          "amplitude": 3.822518731319751,
          "period": 39.47142857142857
        },
        "receiver": {
          "peaks": 0,
          "amplitude": 0.0,
          "period": null
        }
      },
      {
        "g": 0.03,
        "target_drive": 0.0,
        "time_unit": "arbitrary",
        "window": [
          900.0,
          1200.0
        ],
        "pacemaker": {
          "peaks": 8,
          "amplitude": 3.757268682694733,
          "period": 39.32857142857142
        },
        "receiver": {
          "peaks": 0,
          "amplitude": 0.2435989962564593,
          "period": null
        }
      },
      {
        "g": 0.1,
        "target_drive": 0.0,
        "time_unit": "arbitrary",
        "window": [
          900.0,
          1200.0
        ],
        "pacemaker": {
          "peaks": 7,
          "amplitude": 3.6874988609582595,
          "period": 43.01666666666669
        },
        "receiver": {
          "peaks": 7,
          "amplitude": 3.7133329272989437,
          "period": 43.033333333333324
        }
      },
      {
        "g": 0.5,
        "target_drive": 0.0,
        "time_unit": "arbitrary",
        "window": [
          900.0,
          1200.0
        ],
        "pacemaker": {
          "peaks": 0,
          "amplitude": 0.0,
          "period": null
        },
        "receiver": {
          "peaks": 0,
          "amplitude": 0.0,
          "period": null
        },
        "stable_equilibrium": {
          "state": [
            -0.9145835889440382,
            -0.2682294861800478,
            -1.1318856911939124,
            -0.5398571139923903
          ],
          "max_real_eigenvalue": -0.037801541461335166
        }
      },
      {
        "g": 0.5,
        "target_drive": 0.5,
        "time_unit": "arbitrary",
        "window": [
          900.0,
          1200.0
        ],
        "pacemaker": {
          "peaks": 8,
          "amplitude": 3.8225032931770917,
          "period": 39.47142857142857
        },
        "receiver": {
          "peaks": 8,
          "amplitude": 3.8225032931770926,
          "period": 39.47142857142857
        }
      }
    ],
    "checks": [
      "LSODA and DOP853 agree in late amplitudes and peak counts",
      "stable equilibrium eigenvalues and small perturbation recovery",
      "interface currents cancel with mass weighting",
      "two intrinsically oscillating units still oscillate at g=.5"
    ],
    "limits": "Illustrative FHN variables, units and drives; selected initial states and parameter cases, not a physiological fit or general bifurcation map."
  },
  "scalar_extremum_counterexample": {
    "state": [
      1.0,
      0.0
    ],
    "vector_field": [
      0.0,
      1.0
    ],
    "scalar_derivative": 0.0,
    "full_state_speed": 1.0
  },
  "not_run": [
    "Full donor-level inference or source experiments",
    "Full HCN conductance model or actual tissue simulation",
    "2026 raw imaging and network analyses",
    "Clinical prediction or intervention"
  ]
}