{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:S3LGRL2EMELEJSPAKDDRGRR2Z3","short_pith_number":"pith:S3LGRL2E","schema_version":"1.0","canonical_sha256":"96d668af44611644c9e050c713463aced742419beb90c4e327eecee813c9d42d","source":{"kind":"arxiv","id":"2501.08355","version":1},"attestation_state":"computed","paper":{"title":"Continuation methods as a tool for parameter inference in electrophysiology modeling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS","stat.CO"],"primary_cat":"q-bio.QM","authors_text":"Gary R Mirams, Matt J Owen","submitted_at":"2025-01-13T23:23:55Z","abstract_excerpt":"Parameterizing mathematical models of biological systems often requires fitting to stable periodic data. In cardiac electrophysiology this typically requires converging to a stable action potential through long simulations. We explore this problem through the theory of dynamical systems, bifurcation analysis and continuation methods; under which a converged action potential is a stable limit cycle. Various attempts have been made to improve the efficiency of identifying these limit cycles, with limited success. We demonstrate that continuation methods can more efficiently infer the converged a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2501.08355","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.QM","submitted_at":"2025-01-13T23:23:55Z","cross_cats_sorted":["math.DS","stat.CO"],"title_canon_sha256":"ebb10af9534b517348485a6e53a837df2f6743a1c5667b2c27802468212de503","abstract_canon_sha256":"fb8748654d469e948877fdabdbc2995f0d775a747db439c6bbfca603928bf8f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:01.523754Z","signature_b64":"Hy3MPQcNJGu0AQalnDDdgo2oHQwNrE+QfXTU6tmKOxgGdu6R3fQVg68gOwIvP9HA0JHJ6OzX7gCRawFiIfMBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96d668af44611644c9e050c713463aced742419beb90c4e327eecee813c9d42d","last_reissued_at":"2026-07-05T10:01:01.523347Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:01.523347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuation methods as a tool for parameter inference in electrophysiology modeling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DS","stat.CO"],"primary_cat":"q-bio.QM","authors_text":"Gary R Mirams, Matt J Owen","submitted_at":"2025-01-13T23:23:55Z","abstract_excerpt":"Parameterizing mathematical models of biological systems often requires fitting to stable periodic data. In cardiac electrophysiology this typically requires converging to a stable action potential through long simulations. We explore this problem through the theory of dynamical systems, bifurcation analysis and continuation methods; under which a converged action potential is a stable limit cycle. Various attempts have been made to improve the efficiency of identifying these limit cycles, with limited success. We demonstrate that continuation methods can more efficiently infer the converged a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08355","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.08355/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2501.08355","created_at":"2026-07-05T10:01:01.523406+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.08355v1","created_at":"2026-07-05T10:01:01.523406+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.08355","created_at":"2026-07-05T10:01:01.523406+00:00"},{"alias_kind":"pith_short_12","alias_value":"S3LGRL2EMELE","created_at":"2026-07-05T10:01:01.523406+00:00"},{"alias_kind":"pith_short_16","alias_value":"S3LGRL2EMELEJSPA","created_at":"2026-07-05T10:01:01.523406+00:00"},{"alias_kind":"pith_short_8","alias_value":"S3LGRL2E","created_at":"2026-07-05T10:01:01.523406+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3","json":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3.json","graph_json":"https://pith.science/api/pith-number/S3LGRL2EMELEJSPAKDDRGRR2Z3/graph.json","events_json":"https://pith.science/api/pith-number/S3LGRL2EMELEJSPAKDDRGRR2Z3/events.json","paper":"https://pith.science/paper/S3LGRL2E"},"agent_actions":{"view_html":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3","download_json":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3.json","view_paper":"https://pith.science/paper/S3LGRL2E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.08355&json=true","fetch_graph":"https://pith.science/api/pith-number/S3LGRL2EMELEJSPAKDDRGRR2Z3/graph.json","fetch_events":"https://pith.science/api/pith-number/S3LGRL2EMELEJSPAKDDRGRR2Z3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3/action/storage_attestation","attest_author":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3/action/author_attestation","sign_citation":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3/action/citation_signature","submit_replication":"https://pith.science/pith/S3LGRL2EMELEJSPAKDDRGRR2Z3/action/replication_record"}},"created_at":"2026-07-05T10:01:01.523406+00:00","updated_at":"2026-07-05T10:01:01.523406+00:00"}