{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:X7QOKULJT4KZC6CRUJXXBIBCQX","short_pith_number":"pith:X7QOKULJ","schema_version":"1.0","canonical_sha256":"bfe0e551699f15917851a26f70a02285dd0efc68c62a04b0a52fd7961520e900","source":{"kind":"arxiv","id":"1605.00185","version":1},"attestation_state":"computed","paper":{"title":"Constrained Nonlinear and Mixed Effects Differential Equation Models for Dynamic Cell Polarity Signaling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Nicolas Brunel, Xinping Cui, Zhenbiao Yang, Zhen Xiao","submitted_at":"2016-04-30T23:08:40Z","abstract_excerpt":"The key of tip growth in eukaryotes is the polarized distribution on plasma membrane of a particle named ROP1. This distribution is the result of a positive feedback loop, whose mechanism can be described by a Differential Equation parametrized by two meaningful parameters kpf and knf . We introduce a mechanistic Integro-Differential Equation (IDE) derived from a spatiotemporal model of cell polarity and we show how this model can be fitted to real data, i.e., ROP1 intensities measured on pollen tubes. At first, we provide an existence and uniqueness result for the solution of our IDE model un"},"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":"1605.00185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-04-30T23:08:40Z","cross_cats_sorted":[],"title_canon_sha256":"1fec52251079397096541dc75e1e721ec5a32a3bf6aa8f0ee8cd7b61705112df","abstract_canon_sha256":"1d8e9da8ce6ad61caee53bcba6180be4e6563ba4baa724c1c64d262f1006a7be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:56.494220Z","signature_b64":"RY5vb4TbdQ/LzhRM6JUKsj8Nf5p4l0VLO2izx+A+fMu2f2FGG5UUWUGADjo2YuweQHD1XWvM2XTvulFg2puNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfe0e551699f15917851a26f70a02285dd0efc68c62a04b0a52fd7961520e900","last_reissued_at":"2026-05-18T01:15:56.493655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:56.493655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constrained Nonlinear and Mixed Effects Differential Equation Models for Dynamic Cell Polarity Signaling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Nicolas Brunel, Xinping Cui, Zhenbiao Yang, Zhen Xiao","submitted_at":"2016-04-30T23:08:40Z","abstract_excerpt":"The key of tip growth in eukaryotes is the polarized distribution on plasma membrane of a particle named ROP1. This distribution is the result of a positive feedback loop, whose mechanism can be described by a Differential Equation parametrized by two meaningful parameters kpf and knf . We introduce a mechanistic Integro-Differential Equation (IDE) derived from a spatiotemporal model of cell polarity and we show how this model can be fitted to real data, i.e., ROP1 intensities measured on pollen tubes. At first, we provide an existence and uniqueness result for the solution of our IDE model un"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00185","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":""},"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":"1605.00185","created_at":"2026-05-18T01:15:56.493736+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.00185v1","created_at":"2026-05-18T01:15:56.493736+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00185","created_at":"2026-05-18T01:15:56.493736+00:00"},{"alias_kind":"pith_short_12","alias_value":"X7QOKULJT4KZ","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"X7QOKULJT4KZC6CR","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"X7QOKULJ","created_at":"2026-05-18T12:30:51.357362+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/X7QOKULJT4KZC6CRUJXXBIBCQX","json":"https://pith.science/pith/X7QOKULJT4KZC6CRUJXXBIBCQX.json","graph_json":"https://pith.science/api/pith-number/X7QOKULJT4KZC6CRUJXXBIBCQX/graph.json","events_json":"https://pith.science/api/pith-number/X7QOKULJT4KZC6CRUJXXBIBCQX/events.json","paper":"https://pith.science/paper/X7QOKULJ"},"agent_actions":{"view_html":"https://pith.science/pith/X7QOKULJT4KZC6CRUJXXBIBCQX","download_json":"https://pith.science/pith/X7QOKULJT4KZC6CRUJXXBIBCQX.json","view_paper":"https://pith.science/paper/X7QOKULJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.00185&json=true","fetch_graph":"https://pith.science/api/pith-number/X7QOKULJT4KZC6CRUJXXBIBCQX/graph.json","fetch_events":"https://pith.science/api/pith-number/X7QOKULJT4KZC6CRUJXXBIBCQX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X7QOKULJT4KZC6CRUJXXBIBCQX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X7QOKULJT4KZC6CRUJXXBIBCQX/action/storage_attestation","attest_author":"https://pith.science/pith/X7QOKULJT4KZC6CRUJXXBIBCQX/action/author_attestation","sign_citation":"https://pith.science/pith/X7QOKULJT4KZC6CRUJXXBIBCQX/action/citation_signature","submit_replication":"https://pith.science/pith/X7QOKULJT4KZC6CRUJXXBIBCQX/action/replication_record"}},"created_at":"2026-05-18T01:15:56.493736+00:00","updated_at":"2026-05-18T01:15:56.493736+00:00"}