{
  "annotation_id": "20a4046a-ada3-47f6-8aea-1760e8b0dd0d",
  "date_created": "2026-03-02T18:01:35.712000Z",
  "date_modified": "2026-03-02T18:01:35.712000Z",
  "file_hash": "7c013ca27e5009000215c05f010ee117211d87ed6745c70e7f21fc725db27d0d",
  "private": false,
  "record": {
    "abstract": "It is shown that the dual to the linear programming problem that arises in\nconstraint-based models of metabolism can be given a thermodynamic\ninterpretation in which the shadow prices are chemical potential analogues, and\nthe objective is to minimise free energy consumption given a free energy drain\ncorresponding to growth. The interpretation is distinct from conventional\nnon-equilibrium thermodynamics, although it does satisfy a minimum entropy\nproduction principle. It can be used to motivate extensions of constraint-based\nmodelling, for example to microbial ecosystems.",
    "arxiv_id": "q-bio/0702021",
    "authors": [
      "Patrick B. Warren",
      "Janette L. Jones"
    ],
    "categories": [
      "q-bio.SC"
    ],
    "doi": "10.1103/PhysRevLett.99.108101",
    "title": "Duality, thermodynamics, and the linear programming problem in   constraint-based models of metabolism",
    "url": "https://arxiv.org/abs/q-bio/0702021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "49248a10-c04a-4af9-a6c3-a9e2eac5b8f5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}