{"paper":{"title":"Theory of post-jamming rigidity in feedback-regulated cellular packings","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Budding-cell packings jam while some buds remain mechanically free, so post-jamming rigidity is set by pressure and the unconstrained fraction.","cross_cats":["physics.bio-ph"],"primary_cat":"cond-mat.soft","authors_text":"Pawel Gniewek","submitted_at":"2026-04-10T04:22:36Z","abstract_excerpt":"Budding-cell packings jam before all buds are mechanically constrained. The post-jamming state is therefore set by both the pressure $P$ and the fraction $u$ of buds that remain unconstrained. We develop a mean-field theory for this regime. A modified Maxwell count predicts the post-jamming coordination. A depletion law gives the density at which the initially free-bud reservoir is exhausted, and a flux-partition argument shows how strong feedback can stiffen the packing while producing little pressure. The mechanism is that feedback shifts growth toward residual underconstrained bud modes. De"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"A modified Maxwell count gives the post-jamming coordination, a depletion law for the unconstrained buds predicts the crossover density φ₂ at which that reservoir is exhausted, and a flux-partition argument explains why strong growth feedback can markedly increase rigidity while generating little internal pressure.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The mean-field approximations underlying the modified Maxwell count, the depletion law, and the flux-partition argument remain valid for the disordered, feedback-regulated budding-cell geometry.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Mean-field theory for post-jamming budding-cell packings uses modified Maxwell count, depletion law for unconstrained buds, and flux-partition argument to link growth feedback to increased rigidity at low pressure.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Budding-cell packings jam while some buds remain mechanically free, so post-jamming rigidity is set by pressure and the unconstrained fraction.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"572450d29e95f1644cdcd5ac3a76beb29ea9a825b8877e9a373ee00eaf0f5036"},"source":{"id":"2604.08942","kind":"arxiv","version":2},"verdict":{"id":"6d8e33d3-2e15-435c-a439-048d8b0ad363","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T17:44:59.960758Z","strongest_claim":"A modified Maxwell count gives the post-jamming coordination, a depletion law for the unconstrained buds predicts the crossover density φ₂ at which that reservoir is exhausted, and a flux-partition argument explains why strong growth feedback can markedly increase rigidity while generating little internal pressure.","one_line_summary":"Mean-field theory for post-jamming budding-cell packings uses modified Maxwell count, depletion law for unconstrained buds, and flux-partition argument to link growth feedback to increased rigidity at low pressure.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The mean-field approximations underlying the modified Maxwell count, the depletion law, and the flux-partition argument remain valid for the disordered, feedback-regulated budding-cell geometry.","pith_extraction_headline":"Budding-cell packings jam while some buds remain mechanically free, so post-jamming rigidity is set by pressure and the unconstrained fraction."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.08942/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"}