{
  "anatomy_roles": {
    "P_la": {
      "role": "PROPOSED_BEARER_CONTEXT",
      "template": "la_blood"
    },
    "P_lv": {
      "role": "PROPOSED_BEARER_CONTEXT",
      "template": "lv_blood"
    },
    "V_la": {
      "role": "PROPOSED_BEARER_CONTEXT",
      "template": "la_blood"
    },
    "V_lv": {
      "role": "PROPOSED_BEARER_CONTEXT",
      "template": "lv_blood"
    },
    "la_cavity": {
      "role": "SPATIAL_CONTEXT",
      "template": "la_cavity"
    },
    "la_myocardium": {
      "role": "MECHANICAL_CONTEXT_CANDIDATE",
      "selected_mechanical_bearer": false,
      "template": "la_myocardium"
    },
    "la_wall": {
      "role": "MECHANICAL_CONTEXT_CANDIDATE",
      "selected_mechanical_bearer": false,
      "template": "la_wall"
    },
    "lv_cavity": {
      "role": "SPATIAL_CONTEXT",
      "template": "lv_cavity"
    },
    "lv_myocardium": {
      "role": "MECHANICAL_CONTEXT_CANDIDATE",
      "selected_mechanical_bearer": false,
      "template": "lv_myocardium"
    },
    "lv_wall": {
      "role": "MECHANICAL_CONTEXT_CANDIDATE",
      "selected_mechanical_bearer": false,
      "template": "lv_wall"
    }
  },
  "crosswalk": {
    "la": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/organ",
      "source_id": "UBERON:0002079",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0002079",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/9"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/la",
          "https://example.org/physiosim/anatomical-contents#heart/organ"
        ],
        "iri": "http://purl.obolibrary.org/obo/BFO_0000050"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/la",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "la_blood": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": {
        "anatomy": {
          "fma": "FMA:9465",
          "key": "la_cavity",
          "primary_id": "UBERON:0016513",
          "provenance": "docs/evidence_review/anatomy_nodes_v2.json#/nodes/4",
          "source_role_in_smith": "part of the pulmonary venous compartment blood (lumped)",
          "structure": "Cavity of left atrium",
          "uberon": "UBERON:0016513",
          "uberon_relation": "same_structure_v2_xref"
        },
        "interpretation": "Separate M1 blood volume state.",
        "relation": "blood_contained_in",
        "relationship_direction": [
          "modelled_blood",
          "anatomical_container"
        ]
      },
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/la_cavity",
      "source_id": "UBERON:0000178",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0000178",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/11"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/la_blood",
          "https://example.org/physiosim/anatomical-contents#heart/la_cavity"
        ],
        "iri": "http://purl.obolibrary.org/obo/RO_0001025"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/la_blood",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "la_cavity": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "m1_v2_context": {
        "fma": "FMA:9465",
        "key": "la_cavity",
        "primary_id": "UBERON:0016513",
        "provenance": "docs/evidence_review/anatomy_nodes_v2.json#/nodes/4",
        "source_role_in_smith": "part of the pulmonary venous compartment blood (lumped)",
        "structure": "Cavity of left atrium",
        "uberon": "UBERON:0016513",
        "uberon_relation": "same_structure_v2_xref"
      },
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/la",
      "source_id": "UBERON:0016513",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0016513",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/10"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/la_cavity",
          "https://example.org/physiosim/anatomical-contents#heart/la"
        ],
        "iri": "http://purl.obolibrary.org/obo/RO_0002572"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/la_cavity",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "la_myocardium": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/la_wall",
      "source_id": "UBERON:0003380",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0003380",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/51"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/la_myocardium",
          "https://example.org/physiosim/anatomical-contents#heart/la_wall"
        ],
        "iri": "http://purl.obolibrary.org/obo/BFO_0000050"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/la_myocardium",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "la_wall": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/la",
      "source_id": "FMA:9531",
      "source_iri": "http://purl.org/sig/ont/fma/fma9531",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/41"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/la_wall",
          "https://example.org/physiosim/anatomical-contents#heart/la"
        ],
        "iri": "http://purl.obolibrary.org/obo/BFO_0000050"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/la_wall",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "lv": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/organ",
      "source_id": "UBERON:0002084",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0002084",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/1"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/lv",
          "https://example.org/physiosim/anatomical-contents#heart/organ"
        ],
        "iri": "http://purl.obolibrary.org/obo/BFO_0000050"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/lv",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "lv_blood": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": {
        "anatomy": {
          "fma": "FMA:9466",
          "key": "lv_cavity",
          "primary_id": "UBERON:0016514",
          "provenance": "docs/evidence_review/anatomy_nodes_v2.json#/nodes/2",
          "source_role_in_smith": "container of LV blood (P_lv, V_lv)",
          "structure": "Cavity of left ventricle",
          "uberon": "UBERON:0016514",
          "uberon_relation": "same_structure_v2_xref"
        },
        "interpretation": "Separate M1 blood volume state.",
        "relation": "blood_contained_in",
        "relationship_direction": [
          "modelled_blood",
          "anatomical_container"
        ]
      },
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/lv_cavity",
      "source_id": "UBERON:0000178",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0000178",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/4"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/lv_blood",
          "https://example.org/physiosim/anatomical-contents#heart/lv_cavity"
        ],
        "iri": "http://purl.obolibrary.org/obo/RO_0001025"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/lv_blood",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "lv_cavity": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "m1_v2_context": {
        "fma": "FMA:9466",
        "key": "lv_cavity",
        "primary_id": "UBERON:0016514",
        "provenance": "docs/evidence_review/anatomy_nodes_v2.json#/nodes/2",
        "source_role_in_smith": "container of LV blood (P_lv, V_lv)",
        "structure": "Cavity of left ventricle",
        "uberon": "UBERON:0016514",
        "uberon_relation": "same_structure_v2_xref"
      },
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/lv",
      "source_id": "UBERON:0016514",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0016514",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/2"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/lv_cavity",
          "https://example.org/physiosim/anatomical-contents#heart/lv"
        ],
        "iri": "http://purl.obolibrary.org/obo/RO_0002572"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/lv_cavity",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "lv_myocardium": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/lv_wall",
      "source_id": "UBERON:0006566",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0006566",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/18"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/lv_myocardium",
          "https://example.org/physiosim/anatomical-contents#heart/lv_wall"
        ],
        "iri": "http://purl.obolibrary.org/obo/BFO_0000050"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/lv_myocardium",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "lv_wall": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/lv",
      "source_id": "UBERON:0036285",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0036285",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/3"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/lv_wall",
          "https://example.org/physiosim/anatomical-contents#heart/lv"
        ],
        "iri": "http://purl.obolibrary.org/obo/BFO_0000050"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/lv_wall",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "mitral_annulus": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/mitral_valve",
      "source_id": "UBERON:0005995",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0005995",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/65"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/mitral_annulus",
          "https://example.org/physiosim/anatomical-contents#heart/mitral_valve"
        ],
        "iri": "http://purl.obolibrary.org/obo/BFO_0000050"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/mitral_annulus",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "mitral_orifice": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": null,
      "source_id": "FMA:9335",
      "source_iri": "http://purl.org/sig/ont/fma/fma9335",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/47"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/mitral_orifice",
          null
        ],
        "iri": null
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/mitral_orifice",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "mitral_valve": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": "https://example.org/physiosim/anatomical-contents#heart/organ",
      "source_id": "UBERON:0002135",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0002135",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/26"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/mitral_valve",
          "https://example.org/physiosim/anatomical-contents#heart/organ"
        ],
        "iri": "http://purl.obolibrary.org/obo/BFO_0000050"
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/mitral_valve",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    },
    "organ": {
      "crosswalk_review": "PROPOSED",
      "equivalence": "NONE",
      "m1_relation": null,
      "numeric_use": "NONE",
      "source_context": null,
      "source_id": "UBERON:0000948",
      "source_iri": "http://purl.obolibrary.org/obo/UBERON_0000948",
      "source_provenance": {
        "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
        "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
        "pointer": "#/0"
      },
      "source_relation": {
        "direction": [
          "https://example.org/physiosim/anatomical-contents#heart/organ",
          null
        ],
        "iri": null
      },
      "source_template": "https://example.org/physiosim/anatomical-contents#heart/organ",
      "target_c5": {
        "applied": false,
        "provenance": "docs/decisions.md:27",
        "relation": "part_of",
        "status": "USER_DECISION_RUNTIME_DEFERRED"
      }
    }
  },
  "dependencies": [
    {
      "dependent": "activation",
      "kind": "constitutive",
      "on": [
        "heart_rate",
        "systolic_fraction"
      ]
    },
    {
      "dependent": "E_lv(t)",
      "kind": "constitutive",
      "on": [
        "emin_lv",
        "emax_lv",
        "activation"
      ]
    },
    {
      "dependent": "P_lv",
      "kind": "constitutive",
      "on": [
        "E_lv(t)",
        "V_lv",
        "V0_lv"
      ]
    },
    {
      "dependent": "P_la",
      "kind": "constitutive",
      "on": [
        "elastance_la",
        "V_la",
        "V0_la"
      ]
    },
    {
      "dependent": "Q_mitral",
      "kind": "constitutive",
      "on": [
        "P_la",
        "P_lv",
        "resistance_mitral"
      ]
    },
    {
      "dependent": "Q_cum_mitral",
      "kind": "definition",
      "on": [
        "Q_mitral"
      ]
    },
    {
      "coefficient": -1,
      "dependent": "V_la",
      "kind": "conservation",
      "on": [
        "Q_mitral"
      ],
      "scope": "Mitral contribution only; remaining M1 inflows/outflows are unchanged."
    },
    {
      "coefficient": 1,
      "dependent": "V_lv",
      "kind": "conservation",
      "on": [
        "Q_mitral"
      ],
      "scope": "Mitral contribution only; remaining M1 inflows/outflows are unchanged."
    }
  ],
  "evidence": {
    "extracted_facts": "14 knowledge templates, 12 directed relation claims, 2 special reviews and 2 draft boundaries; shared blood concept ID has distinct LA/LV contextual templates.",
    "interpretations": "Crosswalk roles, constitutive dependencies and M1 scope are explicit project design assertions. No identity, value equivalence or numeric binding is asserted.",
    "unresolved_conflicts": [
      "C5 part_of adapter remains deferred; source located_in and M1 blood_contained_in remain separate.",
      "LV/LA wall versus myocardium mechanical bearer is unselected.",
      "Mitral orifice boundary REVIEW; annulus relation REVIEW and definition REVISE; interface DRAFT.",
      "M1 no-reverse-flow diode restricts signed source transport; no EOA or geometry is represented.",
      "v2 la_cavity Smith lumped-venous role differs from separate M1 LA state; no identity asserted.",
      "Inherited M1 batch-TDD review limitation remains unresolved; baseline snapshot is UNREVIEWED."
    ],
    "verbatim_evidence": "source.catalog/claims/special_claims/boundaries/sources retain original JSON fields and per-record path/pointer/full-file hash. These are untrusted reference evidence, not adopted axioms."
  },
  "laws": {
    "E_lv(t)": {
      "aggregation": "instantaneous law evaluation",
      "anchor": "E_v(t) = Emin_v + (Emax_v-Emin_v)*a(phi), v in {lv,rv}",
      "declared_contract": "four_chamber_m1@1.0.0:la-mitral-lv-laws-v1",
      "inputs": [
        "emin_lv",
        "emax_lv",
        "activation"
      ],
      "integrity_scope": "Declared M1 law/version contract only; does not prove numerical implementation integrity. Observed runtime file hashes are separate provenance.",
      "kind": "constitutive_law",
      "line": 63,
      "path": "docs/physiology_four_chamber_m1.md",
      "reference": "not applicable",
      "scope": "Existing M1 equation reference restricted to LA/LV/mitral; not an adopted ontology axiom.",
      "section": "#equations-and-contract",
      "sign": "positive elastance",
      "temporal": "instantaneous",
      "unit": "mmHg/mL"
    },
    "P_la": {
      "aggregation": "instantaneous law evaluation",
      "anchor": "P_a = E_a*(V_a-V0_a), a in {la,ra}, constant positive E_a",
      "declared_contract": "four_chamber_m1@1.0.0:la-mitral-lv-laws-v1",
      "inputs": [
        "elastance_la",
        "V_la",
        "V0_la"
      ],
      "integrity_scope": "Declared M1 law/version contract only; does not prove numerical implementation integrity. Observed runtime file hashes are separate provenance.",
      "kind": "constitutive_law",
      "line": 65,
      "path": "docs/physiology_four_chamber_m1.md",
      "reference": "model gauge pressure relative to one common fixed external pressure of 0 mmHg; no intrathoracic/pericardial pressure",
      "scope": "Existing M1 equation reference restricted to LA/LV/mitral; not an adopted ontology axiom.",
      "section": "#equations-and-contract",
      "sign": "signed common gauge pressure",
      "temporal": "instantaneous",
      "unit": "mmHg"
    },
    "P_lv": {
      "aggregation": "instantaneous law evaluation",
      "anchor": "P_v = E_v(t)*(V_v-V0_v), v in {lv,rv}",
      "declared_contract": "four_chamber_m1@1.0.0:la-mitral-lv-laws-v1",
      "inputs": [
        "E_lv(t)",
        "V_lv",
        "V0_lv"
      ],
      "integrity_scope": "Declared M1 law/version contract only; does not prove numerical implementation integrity. Observed runtime file hashes are separate provenance.",
      "kind": "constitutive_law",
      "line": 64,
      "path": "docs/physiology_four_chamber_m1.md",
      "reference": "model gauge pressure relative to one common fixed external pressure of 0 mmHg; no intrathoracic/pericardial pressure",
      "scope": "Existing M1 equation reference restricted to LA/LV/mitral; not an adopted ontology axiom.",
      "section": "#equations-and-contract",
      "sign": "signed common gauge pressure",
      "temporal": "instantaneous",
      "unit": "mmHg"
    },
    "Q_cum_mitral": {
      "aggregation": "integral from run start",
      "anchor": "Cumulative_e(t) = integral from 0 to t of q_e(u) du",
      "declared_contract": "four_chamber_m1@1.0.0:la-mitral-lv-laws-v1",
      "inputs": [
        "Q_mitral",
        "time_s"
      ],
      "integrity_scope": "Declared M1 law/version contract only; does not prove numerical implementation integrity. Observed runtime file hashes are separate provenance.",
      "kind": "integral_definition",
      "line": 70,
      "path": "docs/physiology_four_chamber_m1.md",
      "reference": "not applicable",
      "scope": "Existing M1 equation reference restricted to LA/LV/mitral; not an adopted ontology axiom.",
      "section": "#equations-and-contract",
      "sign": "nonnegative LA->LV transport",
      "temporal": "run_integrated",
      "unit": "mL"
    },
    "Q_mitral": {
      "aggregation": "instantaneous law evaluation",
      "anchor": "q_e = max(dp_e/R_e,0), for the four ideal diodes",
      "declared_contract": "four_chamber_m1@1.0.0:la-mitral-lv-laws-v1",
      "inputs": [
        "P_la",
        "P_lv",
        "resistance_mitral"
      ],
      "integrity_scope": "Declared M1 law/version contract only; does not prove numerical implementation integrity. Observed runtime file hashes are separate provenance.",
      "kind": "constitutive_law",
      "line": 68,
      "path": "docs/physiology_four_chamber_m1.md",
      "reference": "not applicable",
      "scope": "Existing M1 equation reference restricted to LA/LV/mitral; not an adopted ontology axiom.",
      "section": "#equations-and-contract",
      "sign": "nonnegative LA->LV transport",
      "temporal": "instantaneous",
      "unit": "mL/s"
    },
    "activation": {
      "aggregation": "instantaneous law evaluation",
      "anchor": "a(phi) = (1-cos(2*pi*phi/s))/2, if phi < s; 0 otherwise",
      "declared_contract": "four_chamber_m1@1.0.0:la-mitral-lv-laws-v1",
      "implementation": "physiosim.models.cardiovascular.elastance",
      "inputs": [
        "heart_rate",
        "systolic_fraction"
      ],
      "integrity_scope": "Declared M1 law/version contract only; does not prove numerical implementation integrity. Observed runtime file hashes are separate provenance.",
      "kind": "constitutive_law",
      "line": 62,
      "path": "docs/physiology_four_chamber_m1.md",
      "reference": "not applicable",
      "scope": "Existing M1 equation reference restricted to LA/LV/mitral; not an adopted ontology axiom.",
      "section": "#equations-and-contract",
      "sign": "activation in [0,1]",
      "temporal": "instantaneous",
      "unit": "dimensionless"
    }
  },
  "mitral": {
    "annulus": {
      "definition_review": "REVISE",
      "equivalence": "NONE",
      "relation_review": "REVIEW",
      "role": "ANATOMICAL_ATTACHMENT",
      "template": "mitral_annulus"
    },
    "direction": [
      "la",
      "lv"
    ],
    "effective_orifice_area": "NOT_REPRESENTED",
    "interface": {
      "equivalence": "NONE",
      "proposal_id": "boundary-mitral_orifice-transfer-v1",
      "role": "DRAFT_OPERATIONAL_INTERFACE_CANDIDATE",
      "signed_flow_allowed": true,
      "status": "DRAFT_MODEL_CONVENTION"
    },
    "orifice": {
      "boundary_review": "REVIEW",
      "equivalence": "NONE",
      "role": "ANATOMICAL_OPENING",
      "template": "mitral_orifice"
    },
    "restriction": "M1 ideal diode q=max(dp/R,0) is a restricted no-reverse-flow model relative to the source signed-transport interface; it does not model regurgitation, area or patient geometry.",
    "valve": {
      "equivalence": "NONE",
      "m1_v2_context": {
        "fma": "FMA:7235",
        "key": "mitral_valve",
        "primary_id": "UBERON:0002135",
        "provenance": "docs/evidence_review/anatomy_nodes_v2.json#/nodes/6",
        "source_role_in_smith": "location of Q_mt (E29)",
        "structure": "Mitral valve",
        "uberon": "UBERON:0002135",
        "uberon_relation": "same_structure_v2_xref"
      },
      "role": "FLOW_LOCATION_CONTEXT",
      "template": "mitral_valve"
    }
  },
  "model_id": "four_chamber_m1",
  "model_source": {
    "baseline_snapshot": "456abc8c77134cd8909d603a1d96ed1384bad41f",
    "declared_contract": "four_chamber_m1@1.0.0:la-mitral-lv-laws-v1",
    "integrity_scope": "Declared M1 law/version contract only; does not prove numerical implementation integrity. Observed runtime file hashes are separate provenance.",
    "review": "UNREVIEWED; inherited M1 batch-TDD limitation remains unresolved"
  },
  "model_version": "1.0.0",
  "parameter_roles": {
    "elastance_la": {
      "external_numeric_permission": "NONE",
      "kind": "parameter",
      "temporal": "constant_parameter"
    },
    "emax_lv": {
      "external_numeric_permission": "NONE",
      "kind": "parameter",
      "temporal": "constant_parameter"
    },
    "emin_lv": {
      "external_numeric_permission": "NONE",
      "kind": "parameter",
      "temporal": "constant_parameter"
    },
    "heart_rate": {
      "external_numeric_permission": "NONE",
      "kind": "parameter",
      "temporal": "constant_parameter"
    },
    "initial_volumes": {
      "external_numeric_permission": "NONE",
      "kind": "parameter",
      "temporal": "initial"
    },
    "resistance_mitral": {
      "external_numeric_permission": "NONE",
      "kind": "parameter",
      "temporal": "constant_parameter"
    },
    "systolic_fraction": {
      "external_numeric_permission": "NONE",
      "kind": "parameter",
      "temporal": "constant_parameter"
    },
    "unstressed_volumes": {
      "external_numeric_permission": "NONE",
      "kind": "parameter",
      "temporal": "constant_parameter"
    }
  },
  "parameters": {
    "elastance_la": {
      "order": null,
      "property": "http://bhi.washington.edu/OPB#OPB_00076",
      "property_source": "https://raw.githubusercontent.com/SemBioProcess/SemGen/master/src/semsim/owl/OPBv1.07.owl",
      "provenance": "Required explicit caller input; no literature-derived default or calibration.",
      "temporal": "constant_parameter",
      "unit": "mmHg/mL"
    },
    "emax_lv": {
      "order": null,
      "property": "http://bhi.washington.edu/OPB#OPB_00076",
      "property_source": "https://raw.githubusercontent.com/SemBioProcess/SemGen/master/src/semsim/owl/OPBv1.07.owl",
      "provenance": "Required explicit caller input; no literature-derived default or calibration.",
      "temporal": "constant_parameter",
      "unit": "mmHg/mL"
    },
    "emin_lv": {
      "order": null,
      "property": "http://bhi.washington.edu/OPB#OPB_00076",
      "property_source": "https://raw.githubusercontent.com/SemBioProcess/SemGen/master/src/semsim/owl/OPBv1.07.owl",
      "provenance": "Required explicit caller input; no literature-derived default or calibration.",
      "temporal": "constant_parameter",
      "unit": "mmHg/mL"
    },
    "heart_rate": {
      "order": null,
      "property": "http://bhi.washington.edu/OPB#OPB_01212",
      "property_source": "https://raw.githubusercontent.com/SemBioProcess/SemGen/master/src/semsim/owl/OPBv1.07.owl",
      "provenance": "Required explicit caller input; no literature-derived default or calibration.",
      "temporal": "constant_parameter",
      "unit": "1/min"
    },
    "initial_volumes": {
      "order": [
        "lv",
        "sa",
        "sv",
        "ra",
        "rv",
        "pa",
        "pv",
        "la"
      ],
      "property": "http://bhi.washington.edu/OPB#OPB_00154",
      "property_source": "https://raw.githubusercontent.com/SemBioProcess/SemGen/master/src/semsim/owl/OPBv1.07.owl",
      "provenance": "Required explicit caller input; no literature-derived default or calibration.",
      "temporal": "initial",
      "unit": "mL"
    },
    "resistance_mitral": {
      "order": null,
      "property": "http://bhi.washington.edu/OPB#OPB_00160",
      "property_source": "https://raw.githubusercontent.com/SemBioProcess/SemGen/master/src/semsim/owl/OPBv1.07.owl",
      "provenance": "Required explicit caller input; no literature-derived default or calibration.",
      "temporal": "constant_parameter",
      "unit": "mmHg*s/mL"
    },
    "systolic_fraction": {
      "order": null,
      "property": "https://example.org/physiosim/concept/systolic_fraction",
      "property_source": "project-local M1 definition",
      "provenance": "Required explicit caller input; no literature-derived default or calibration.",
      "temporal": "constant_parameter",
      "unit": "dimensionless"
    },
    "unstressed_volumes": {
      "order": [
        "lv",
        "sa",
        "sv",
        "ra",
        "rv",
        "pa",
        "pv",
        "la"
      ],
      "property": "http://bhi.washington.edu/OPB#OPB_00154",
      "property_source": "https://raw.githubusercontent.com/SemBioProcess/SemGen/master/src/semsim/owl/OPBv1.07.owl",
      "provenance": "Required explicit caller input; no literature-derived default or calibration.",
      "temporal": "constant_parameter",
      "unit": "mL"
    }
  },
  "ports": {
    "mitral_flow_port": {
      "aggregation": "instantaneous",
      "direction": [
        "la",
        "lv"
      ],
      "interpretation": "Flow metadata reference; no duplicate physical state.",
      "kind": "port",
      "ref": "Q_mitral",
      "reference": "not applicable",
      "sign": "nonnegative LA->LV",
      "temporal": "instantaneous",
      "unit": "mL/s"
    }
  },
  "roles": {
    "P_la": {
      "aggregation": "instantaneous",
      "kind": "algebraic_observable",
      "sign": "signed common gauge pressure"
    },
    "P_lv": {
      "aggregation": "instantaneous",
      "kind": "algebraic_observable",
      "sign": "signed common gauge pressure"
    },
    "Q_cum_mitral": {
      "aggregation": "run_integrated",
      "kind": "auxiliary_integral",
      "sign": "nonnegative LA->LV transport"
    },
    "Q_mitral": {
      "aggregation": "instantaneous",
      "kind": "edge_flow",
      "sign": "nonnegative LA->LV transport"
    },
    "V_la": {
      "aggregation": "instantaneous",
      "kind": "state",
      "sign": "positive total blood volume"
    },
    "V_lv": {
      "aggregation": "instantaneous",
      "kind": "state",
      "sign": "positive total blood volume"
    },
    "la_pressure_mean_mmhg": {
      "aggregation": "beat_mean",
      "kind": "metric",
      "sign": "manifest-defined metric"
    },
    "lv_edv_sample_ml": {
      "aggregation": "beat_sample_extremum",
      "kind": "metric",
      "sign": "manifest-defined metric"
    },
    "lv_ejection_fraction_sample": {
      "aggregation": "beat_sample_extremum",
      "kind": "metric",
      "sign": "manifest-defined metric"
    },
    "lv_esv_sample_ml": {
      "aggregation": "beat_sample_extremum",
      "kind": "metric",
      "sign": "manifest-defined metric"
    }
  },
  "sidecar_version": "1.0.0",
  "source": {
    "absent_claims": [],
    "boundaries": {
      "proposals": [
        {
          "provenance": {
            "full_file_sha256": "b118f238247486818e16016fd3b17c5bac3e5541477503bbc53ba2ee8ffb82f0",
            "path": "experiments/medmlx_anatomy_mapping/ontology/boundary_definitions.json",
            "pointer": "#/proposals/5"
          },
          "record": {
            "anatomical_base_iri": "http://purl.obolibrary.org/obo/UBERON_0005995",
            "anatomical_base_label": "mitral valve anulus",
            "assumptions": [
              "A complete hinge locus is identifiable; incomplete or fused/variant configurations require a separately documented variant protocol.",
              "No arbitrary mm-wide band or tissue thickness is introduced.",
              "Geometry is not extracted from the existing coarse CT mask."
            ],
            "boundary_rule": "Follow the complete 3D leaflet-to-atrioventricular-junction hinge locus through the commissural attachments. Preserve its nonplanarity rather than replacing it with a flat circle.",
            "bundle": "boundary_valves",
            "concept_kind": "anatomical_attachment_boundary",
            "connection_intent": [
              "hasAttachmentBoundary",
              "attachmentBoundaryOf"
            ],
            "current_base_iri": "http://purl.obolibrary.org/obo/UBERON_0005995",
            "definition_basis": "integrated",
            "definition_status": "DRAFT_MODEL_CONVENTION",
            "evidence_locator": "\u00a73(a)(i), Fig14",
            "evidence_urls": [
              "https://pmc.ncbi.nlm.nih.gov/articles/PMC2440405/"
            ],
            "excludes": [
              "leaflet free edges and coaptation line",
              "homogeneous material ring of assumed thickness",
              "a virtual projected or best-fit annular area",
              "hemodynamic effective orifice area"
            ],
            "functional_rationale": "Use the leaflet attachment locus as the reference supporting the valve apparatus, with closure and opening represented by distinct leaflet states.",
            "includes": [
              "leaflet attachment hinge locus",
              "commissural attachment landmarks"
            ],
            "measurement_performed": false,
            "model_role": "leaflet-support reference; not itself a blood compartment or resistance parameter",
            "new_local_predicates": [
              "hasAttachmentBoundary",
              "attachmentBoundaryOf"
            ],
            "normative_status": "project operational definition; not new standard ontology equivalence",
            "observed_geometry": false,
            "original_mapping_outcome": "REMAINS_REVIEW",
            "patient_geometry_status": "NOT_MEASURED",
            "proposal_id": "boundary-mitral_annulus-attachment-v1",
            "proposal_status": "PROPOSED",
            "proposal_uri": "https://example.org/physiosim/boundary-proposals#heart/mitral_annulus",
            "proposed_local_concept": "mitral_leaflet_attachment_boundary",
            "relation_to_anatomy": "The current UBERON material anulus term remains unchanged. This local boundary is a landmark of attachment tissue, not owl:sameAs or owl:equivalentClass to that tissue. Material support and its boundary are represented separately.",
            "required_geometry_fields": [
              "3D hinge contour in image world mm",
              "coordinate reference and original image provenance",
              "cardiac phase or fixation state",
              "landmark selection method/version",
              "missing-landmark/variant handling"
            ],
            "source_refs": [
              "BV01"
            ],
            "source_vs_proposal": "Literature motivates the anatomical distinctions; choosing this locus as the project boundary is our proposed modeling convention.",
            "state_or_phase": "Contour is indexed by cardiac phase t if measured in a living heart; no default systolic/diastolic coordinates are assigned. In fixed specimens record fixation state.",
            "target_key": "heart/mitral_annulus",
            "target_template": "https://example.org/physiosim/anatomical-contents#heart/mitral_annulus",
            "target_uri": "https://example.org/physiosim/anatomical-contents#heart/mitral_annulus",
            "topological_dimension": 1
          }
        },
        {
          "provenance": {
            "full_file_sha256": "b118f238247486818e16016fd3b17c5bac3e5541477503bbc53ba2ee8ffb82f0",
            "path": "experiments/medmlx_anatomy_mapping/ontology/boundary_definitions.json",
            "pointer": "#/proposals/6"
          },
          "record": {
            "anatomical_base_iri": "http://purl.org/sig/ont/fma/fma9335",
            "anatomical_base_label": "Orifice of left atrioventricular junction",
            "assumptions": [
              "The upstream/downstream control-volume partition is declared consistently and avoids overlap/gaps in a future mesh.",
              "No patient-specific interface geometry, flow, effective area or pressure is inferred from the present CT.",
              "If landmarks or the required surface construction are absent, this proposal remains symbolic and cannot yield a numerical area.",
              "A nonplanar hinge contour has infinitely many spanning surfaces; the future construction method is part of the definition, not an anatomical fact."
            ],
            "boundary_rule": "Choose an oriented spanning control surface whose boundary is the full nonplanar atrioventricular hinge contour. A surface-construction algorithm and version must be supplied before geometry is instantiated because a contour does not determine a unique spanning surface. Preserve the 3D contour; a planar projection is a different derived representation.",
            "bundle": "boundary_valves",
            "competence_assumption": "Only a declared normally competent closed-valve approximation may set cross-interface flow to zero; a closed-phase label alone does not exclude regurgitation or leakage.",
            "concept_kind": "functional_transfer_interface",
            "connection_intent": [
              "operationallyAssociatedWith",
              "separatesControlVolumes",
              "hasBoundaryConstructionRule"
            ],
            "current_base_iri": "http://purl.org/sig/ont/fma/fma9335",
            "definition_basis": "integrated",
            "definition_status": "DRAFT_MODEL_CONVENTION",
            "downstream_compartment": "LV",
            "evidence_locator": "\u00a73(a)(i), Fig14",
            "evidence_urls": [
              "https://pmc.ncbi.nlm.nih.gov/articles/PMC2440405/"
            ],
            "excludes": [
              "blood material volume",
              "leaflet tissue or attachment tissue",
              "leaflet free-edge geometric aperture",
              "effective orifice area or vena-contracta cross-section",
              "automatic equality to pressure-separating leaflet surface"
            ],
            "functional_rationale": "Define the port across which net volume is transferred between LA and LV; orient the normal in the reference antegrade direction LA \u2192 LV. Reverse/regurgitant transfer is allowed to have negative signed flux.",
            "includes": [
              "a zero-thickness control interface",
              "a declared boundary-construction rule",
              "state-dependent reference orientation and signed transport"
            ],
            "measurement_performed": false,
            "model_role": "transport port between declared control volumes; separate from anatomical ostium, actual open gap and functional area property",
            "new_local_predicates": [
              "operationallyAssociatedWith",
              "separatesControlVolumes",
              "hasBoundaryConstructionRule"
            ],
            "normal_direction": "LA -> LV",
            "normative_status": "project operational control boundary; not asserted exact mapping to FMA ostium",
            "observed_geometry": false,
            "original_mapping_outcome": "REMAINS_REVIEW",
            "patient_geometry_status": "NOT_MEASURED",
            "proposal_id": "boundary-mitral_orifice-transfer-v1",
            "proposal_status": "PROPOSED",
            "proposal_uri": "https://example.org/physiosim/boundary-proposals#heart/mitral_orifice",
            "proposed_local_concept": "mitral_transfer_interface",
            "relation_to_anatomy": "Keep the FMA anatomical opening and its current REVIEW boundary mapping. Link this functional interface with a local operationallyAssociatedWith annotation; do not add owl:sameAs, owl:equivalentClass or unverified standard relation IDs.",
            "required_geometry_fields": [
              "interface mesh or planar region in image world mm",
              "coordinate reference and original image provenance",
              "phase/time and surface velocity if moving",
              "landmark and lumen-boundary provenance",
              "surface construction algorithm/version",
              "orientation and mesh integrity checks"
            ],
            "source_refs": [
              "BV01"
            ],
            "source_vs_proposal": "The control-cut choice, flux orientation and required geometry algorithm are project proposals; the sources support anatomical landmarks and the need to distinguish anatomical, geometric and functional definitions.",
            "state_or_phase": "Phase-specific hinge contour and spanning surface must refer to the same cardiac state. Diastolic opening and systolic closure must not be collapsed into a timeless open area.",
            "target_key": "heart/mitral_orifice",
            "target_template": "https://example.org/physiosim/anatomical-contents#heart/mitral_orifice",
            "target_uri": "https://example.org/physiosim/anatomical-contents#heart/mitral_orifice",
            "topological_dimension": 2,
            "transport_definition": "For a moving interface use relative-to-surface velocity when defining net transport Q(t)=integral_S(t) (v-v_surface) dot n dA. This is a proposed measurement definition, not a computed flow result.",
            "upstream_compartment": "LA"
          }
        }
      ],
      "status": "DRAFT_MODEL_CONVENTION",
      "version": "0.1.0"
    },
    "catalog": [
      {
        "provenance": {
          "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
          "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
          "pointer": "#/0"
        },
        "record": {
          "base_id": "UBERON:0000948",
          "base_iri": "http://purl.obolibrary.org/obo/UBERON_0000948",
          "base_label": "heart",
          "context": null,
          "key": "organ",
          "observed_in_CT": false,
          "profile": "heart",
          "relation": null,
          "role": "Structure",
          "status": "KNOWLEDGE_TEMPLATE_REVIEW",
          "template_uri": "https://example.org/physiosim/anatomical-contents#heart/organ"
        }
      },
      {
        "provenance": {
          "full_file_sha256": "288cadbe573f8a5488abc135560a66a3c793f48e32984228a7a791cbdcce24da",
          "path": "experiments/medmlx_anatomy_mapping/results/contents_catalog.json",
          "pointer": "#/1"
        },
        "record": {
          "base_id": "UBERON:0002084",
          "base_iri": "http://purl.obolibrary.org/obo/UBERON_0002084",
          "base_label": "heart left ventricle",
          "context": "https://example.org/physiosim/anatomical-contents#heart/organ",
          "key": "lv",
          "observed_in_CT": false,
          "profile": "heart",
          "relation": "http://purl.obolibrary.org/obo/BFO_0000050",
          "role": "Structure",
          "status": "KNOWLEDGE_TEMPLATE_REVIEW",
          "template_uri": "https://example.org/physiosim/anatomical-contents#heart/lv"
        }
      },
      {
        "provenance": {
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