{
  "annotation_id": "c99a3127-6dc3-4814-91dd-945a0b9b6df5",
  "date_created": "2026-03-02T18:01:31.871000Z",
  "date_modified": "2026-03-02T18:01:31.871000Z",
  "file_hash": "f9953c340c8d9bdd9a435f6a0a871c9f4d9e47da9613fcdd9b552f6c6384e372",
  "private": false,
  "record": {
    "abstract": "A commonly employed measure of the signal amplification properties of an\ninput/output system is its induced L2 norm, sometimes also known as \"H\ninfinity\" gain. In general, however, it is extremely difficult to compute the\nnumerical value for this norm, or even to check that it is finite, unless the\nsystem being studied is linear. This paper describes a class of systems for\nwhich it is possible to reduce this computation to that of finding the norm of\nan associated linear system. In contrast to linearization approaches, a precise\nvalue, not an estimate, is obtained for the full nonlinear model. The class of\nsystems that we study arose from the modeling of certain biological\nintracellular signaling cascades, but the results should be of wider\napplicability.",
    "arxiv_id": "q-bio/0408012",
    "authors": [
      "Eduardo D. Sontag",
      "Madalena Chaves"
    ],
    "categories": [
      "q-bio.QM"
    ],
    "title": "Computation of amplification for systems arising from cellular signaling   pathways",
    "url": "https://arxiv.org/abs/q-bio/0408012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f40e2b54-2c96-49ff-91f3-697f16894bc0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}