{
  "slug": "2026-09-10-xylem-embolism-containment",
  "pressure_data": {
    "paired_points": 61,
    "species": [
      {
        "species": "R. pseudoacacia",
        "group": "被子植物",
        "points": 9,
        "max_K_difference": 1.1102230246251565e-16,
        "P_at_Q_peak_MPa": 2.067,
        "P80_from_supplied_K": null
      },
      {
        "species": "L. tulipifera",
        "group": "被子植物",
        "points": 9,
        "max_K_difference": 2.220446049250313e-16,
        "P_at_Q_peak_MPa": 2.067,
        "P80_from_supplied_K": null
      },
      {
        "species": "A. rubrum",
        "group": "被子植物",
        "points": 9,
        "max_K_difference": 0.10178300251921846,
        "P_at_Q_peak_MPa": 2.067,
        "P80_from_supplied_K": null
      },
      {
        "species": "T. plicata",
        "group": "裸子植物（含银杏）",
        "points": 8,
        "max_K_difference": 2.220446049250313e-16,
        "P_at_Q_peak_MPa": 0.39273,
        "P80_from_supplied_K": {
          "bracket_MPa": [
            0.39273,
            0.6821100000000001
          ],
          "linear_interpolated_MPa": 0.5664816756424635
        }
      },
      {
        "species": "C. duclouxiana",
        "group": "裸子植物（含银杏）",
        "points": 8,
        "max_K_difference": 1.1102230246251565e-16,
        "P_at_Q_peak_MPa": 0.09646,
        "P80_from_supplied_K": {
          "bracket_MPa": [
            0.19292,
            0.38584
          ],
          "linear_interpolated_MPa": 0.22656245907704875
        }
      },
      {
        "species": "G. biloba",
        "group": "裸子植物（含银杏）",
        "points": 9,
        "max_K_difference": 5.551115123125783e-17,
        "P_at_Q_peak_MPa": 0.19292,
        "P80_from_supplied_K": {
          "bracket_MPa": [
            0.19292,
            0.38584
          ],
          "linear_interpolated_MPa": 0.2581224040161208
        }
      },
      {
        "species": "S. sempervirens",
        "group": "裸子植物（含银杏）",
        "points": 9,
        "max_K_difference": 1.1102230246251565e-16,
        "P_at_Q_peak_MPa": 0.6579950000000001,
        "P80_from_supplied_K": {
          "bracket_MPa": [
            0.6579950000000001,
            0.9577100000000001
          ],
          "linear_interpolated_MPa": 0.6858145433013749
        }
      }
    ],
    "limits": "Public species-level summaries, not the35individual-sample trajectories; n=5per species is author-reported. Each Q and K normalized within its own species. Error column named se_q_relatif whereas paper caption calls bars SD; preserved, not used as CI. A.rubrum supplied K differs by up to.101783 from K derived from its supplied meanQ; both retained without inventing the reason. P80 interpolation is descriptive within bracketing pressures, not a measured continuous actuation threshold or80percent of pit count closed. Steady water-flow tests do not measure air-arrival timing."
  },
  "interface_and_geometry": {
    "capillary_example": [
      {
        "chosen_surface_tension_N_m": 0.072,
        "chosen_pore_radius_nm": 10.0,
        "ideal_entry_pressure_MPa": 14.399999999999999,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.072,
        "chosen_pore_radius_nm": 50.0,
        "ideal_entry_pressure_MPa": 2.8799999999999994,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.072,
        "chosen_pore_radius_nm": 100.0,
        "ideal_entry_pressure_MPa": 1.4399999999999997,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.072,
        "chosen_pore_radius_nm": 500.0,
        "ideal_entry_pressure_MPa": 0.2879999999999999,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.072,
        "chosen_pore_radius_nm": 1000.0,
        "ideal_entry_pressure_MPa": 0.14399999999999996,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.035,
        "chosen_pore_radius_nm": 10.0,
        "ideal_entry_pressure_MPa": 7.000000000000001,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.035,
        "chosen_pore_radius_nm": 50.0,
        "ideal_entry_pressure_MPa": 1.4,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.035,
        "chosen_pore_radius_nm": 100.0,
        "ideal_entry_pressure_MPa": 0.7,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.035,
        "chosen_pore_radius_nm": 500.0,
        "ideal_entry_pressure_MPa": 0.14,
        "contact_angle_cosine": 1.0
      },
      {
        "chosen_surface_tension_N_m": 0.035,
        "chosen_pore_radius_nm": 1000.0,
        "ideal_entry_pressure_MPa": 0.07,
        "contact_angle_cosine": 1.0
      }
    ],
    "continuity_diagnostic": {
      "chosen_radius_m": 1e-05,
      "chosen_length_m": 0.001,
      "chosen_flow_m3_s": 1e-12,
      "pit_wall_fraction": 0.0728,
      "area_pit_over_area_cross": 14.560000000000002,
      "front_speed_m_s": 0.0031830988618379067,
      "continuity_average_pit_speed_m_s": 0.000218619427324032,
      "printed_Eq3_pit_speed_m_s": 0.04634591942835993,
      "printed_outflow_over_input": 211.99360000000007,
      "limits": "Diagnostic of the stated area definitions under incompressible flow through the specified total pit area. It does not reproduce Fig3 species pressures or give local stress on a torus. Published and early manuscript Eq3 multiply by the area ratio that continuity requires dividing by. The SI diameter header says mm despite values of tens; unit ambiguity kept, not silently reinterpreted to regenerate the full numerical species claim."
    },
    "closed_volume_thresholds": [
      {
        "group": "angiosperm",
        "initial_pressure_difference_MPa": 2.936,
        "actuation_MPa": 0.25,
        "effective_bulk_modulus_GPa": 5.0,
        "critical_displaced_volume_fraction": 0.0005371999999999999
      },
      {
        "group": "angiosperm",
        "initial_pressure_difference_MPa": 2.936,
        "actuation_MPa": 0.75,
        "effective_bulk_modulus_GPa": 5.0,
        "critical_displaced_volume_fraction": 0.0004372
      },
      {
        "group": "conifer",
        "initial_pressure_difference_MPa": 4.958,
        "actuation_MPa": 0.25,
        "effective_bulk_modulus_GPa": 5.0,
        "critical_displaced_volume_fraction": 0.0009416
      },
      {
        "group": "conifer",
        "initial_pressure_difference_MPa": 4.958,
        "actuation_MPa": 0.75,
        "effective_bulk_modulus_GPa": 5.0,
        "critical_displaced_volume_fraction": 0.0008416000000000001
      }
    ],
    "eight_parameter_corners": {
      "minimum": 0.0001,
      "maximum": 0.0024500000000000004,
      "mean": 0.0008850000000000002,
      "standard_error_of_eight_corners": 0.00030866648668101306,
      "interpretation": "Eight chosen parameter corners, not independent experimental samples or a confidence interval."
    },
    "limits": "DeltaP=DeltaP0-DeltaV/C and C=V/K need an effective reservoir and no unaccounted drainage during the event. Replacing DeltaV/V by ell/L additionally assumes matching areas and a particular connected volume. No whole-tree closure impossibility theorem follows from that substitution. Young-Laplace examples use chosen static interfaces; real sap, geometry, wetting and connectivity differ."
  },
  "timing": {
    "cases": [
      {
        "case": "short_pulse",
        "initial_pulse_MPa": 0.8,
        "static_threshold_MPa": 0.5,
        "pressure_decay_time": 0.1,
        "membrane_response_time": 1.0,
        "chosen_air_arrival_time": 2.0,
        "first_contact_time": null,
        "contact_before_arrival": false,
        "unconstrained_peak_displacement": 0.12388218922897808,
        "ODE_max_difference": 6.673361169218239e-10
      },
      {
        "case": "long_pulse",
        "initial_pulse_MPa": 0.8,
        "static_threshold_MPa": 0.5,
        "pressure_decay_time": 10.0,
        "membrane_response_time": 1.0,
        "chosen_air_arrival_time": 2.0,
        "first_contact_time": 1.0980990980751848,
        "contact_before_arrival": true,
        "unconstrained_peak_displacement": 1.238821892289795,
        "ODE_max_difference": 8.538680873471094e-11
      },
      {
        "case": "fast_response",
        "initial_pulse_MPa": 0.8,
        "static_threshold_MPa": 0.5,
        "pressure_decay_time": 0.1,
        "membrane_response_time": 0.01,
        "chosen_air_arrival_time": 2.0,
        "first_contact_time": 0.010980990980751846,
        "contact_before_arrival": true,
        "unconstrained_peak_displacement": 1.2388218922893068,
        "ODE_max_difference": 6.917466599531963e-11
      },
      {
        "case": "air_arrives_earlier",
        "initial_pulse_MPa": 0.8,
        "static_threshold_MPa": 0.5,
        "pressure_decay_time": 10.0,
        "membrane_response_time": 1.0,
        "chosen_air_arrival_time": 0.2,
        "first_contact_time": 1.0980990980751848,
        "contact_before_arrival": false,
        "unconstrained_peak_displacement": 1.238821892289795,
        "ODE_max_difference": 8.538680873471094e-11
      }
    ],
    "limits": "Chosen exponentially decaying pressure and first-order overdamped membrane displacement. Plot stops at first contact, does not simulate persistent seal, rebound, gas-front dynamics or feedback of changing pit conductance. Arrival time is separately chosen. Threshold.5MPa is illustrative within the experimental range, not a fit to any species' timing."
  }
}
