{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DO4TVAVUSFWCYKXCMQZCNU5UH2","short_pith_number":"pith:DO4TVAVU","schema_version":"1.0","canonical_sha256":"1bb93a82b4916c2c2ae2643226d3b43e956bafa88cca2966778bc23067d0320b","source":{"kind":"arxiv","id":"1503.08324","version":1},"attestation_state":"computed","paper":{"title":"Outcome prediction in mathematical models of immune response to infection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.QM","authors_text":"Corey S. O'Hern, Greg Huber, Kun Wang, Manuel Mai, Mark D. Shattuck, Michael Kirby","submitted_at":"2015-03-28T16:36:04Z","abstract_excerpt":"Clinicians need to predict patient outcomes with high accuracy as early as possible after disease inception. In this manuscript, we show that patient-to-patient variability sets a fundamental limit on outcome prediction accuracy for a general class of mathematical models for the immune response to infection. However, accuracy can be increased at the expense of delayed prognosis. We investigate several systems of ordinary differential equations (ODEs) that model the host immune response to a pathogen load. Advantages of systems of ODEs for investigating the immune response to infection include "},"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":"1503.08324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.QM","submitted_at":"2015-03-28T16:36:04Z","cross_cats_sorted":[],"title_canon_sha256":"076c86127e59c2a74630202e17e9c1bfa91140d2d26b4e8e1747a51fd1555574","abstract_canon_sha256":"49a6b95d33e58e036d2d829606637aff679305f167137e22be453b57cb4ab6d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:46.718440Z","signature_b64":"Hf/S8InhAD8yp2VpWA3iw2hBBE/QYzk+zA48AtyNRo3vVMIMrRfWuZhN1Lczh2q09xEPlH8TNwr2aGfpWV+2BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bb93a82b4916c2c2ae2643226d3b43e956bafa88cca2966778bc23067d0320b","last_reissued_at":"2026-05-18T01:20:46.717980Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:46.717980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Outcome prediction in mathematical models of immune response to infection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.QM","authors_text":"Corey S. O'Hern, Greg Huber, Kun Wang, Manuel Mai, Mark D. Shattuck, Michael Kirby","submitted_at":"2015-03-28T16:36:04Z","abstract_excerpt":"Clinicians need to predict patient outcomes with high accuracy as early as possible after disease inception. In this manuscript, we show that patient-to-patient variability sets a fundamental limit on outcome prediction accuracy for a general class of mathematical models for the immune response to infection. However, accuracy can be increased at the expense of delayed prognosis. We investigate several systems of ordinary differential equations (ODEs) that model the host immune response to a pathogen load. Advantages of systems of ODEs for investigating the immune response to infection include "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.08324","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":"1503.08324","created_at":"2026-05-18T01:20:46.718048+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.08324v1","created_at":"2026-05-18T01:20:46.718048+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.08324","created_at":"2026-05-18T01:20:46.718048+00:00"},{"alias_kind":"pith_short_12","alias_value":"DO4TVAVUSFWC","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DO4TVAVUSFWCYKXC","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DO4TVAVU","created_at":"2026-05-18T12:29:17.054201+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/DO4TVAVUSFWCYKXCMQZCNU5UH2","json":"https://pith.science/pith/DO4TVAVUSFWCYKXCMQZCNU5UH2.json","graph_json":"https://pith.science/api/pith-number/DO4TVAVUSFWCYKXCMQZCNU5UH2/graph.json","events_json":"https://pith.science/api/pith-number/DO4TVAVUSFWCYKXCMQZCNU5UH2/events.json","paper":"https://pith.science/paper/DO4TVAVU"},"agent_actions":{"view_html":"https://pith.science/pith/DO4TVAVUSFWCYKXCMQZCNU5UH2","download_json":"https://pith.science/pith/DO4TVAVUSFWCYKXCMQZCNU5UH2.json","view_paper":"https://pith.science/paper/DO4TVAVU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.08324&json=true","fetch_graph":"https://pith.science/api/pith-number/DO4TVAVUSFWCYKXCMQZCNU5UH2/graph.json","fetch_events":"https://pith.science/api/pith-number/DO4TVAVUSFWCYKXCMQZCNU5UH2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DO4TVAVUSFWCYKXCMQZCNU5UH2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DO4TVAVUSFWCYKXCMQZCNU5UH2/action/storage_attestation","attest_author":"https://pith.science/pith/DO4TVAVUSFWCYKXCMQZCNU5UH2/action/author_attestation","sign_citation":"https://pith.science/pith/DO4TVAVUSFWCYKXCMQZCNU5UH2/action/citation_signature","submit_replication":"https://pith.science/pith/DO4TVAVUSFWCYKXCMQZCNU5UH2/action/replication_record"}},"created_at":"2026-05-18T01:20:46.718048+00:00","updated_at":"2026-05-18T01:20:46.718048+00:00"}