{
  "annotation_id": "b5d92042-d1f4-4fef-8653-f514a54d1cae",
  "date_created": "2026-03-02T18:01:28.420000Z",
  "date_modified": "2026-03-02T18:01:28.420000Z",
  "file_hash": "87183812839ef324aa5e90cc39e043123a005c7cfbad056d2489dc0501266e32",
  "private": false,
  "record": {
    "abstract": "Monotone systems constitute one of the most important classes of dynamical\nsystems used in mathematical biology modeling. The objective of this paper is\nto extend the notion of monotonicity to systems with inputs and outputs, a\nnecessary first step in trying to understand interconnections, especially\nincluding feedback loops, built up out of monotone components. Basic\ndefinitions and theorems are provided, as well as an application of a theorem\nregarding negative feedback loops to the study of a model of one of the cell\u0027s\nmost important subsystems (MAPK cascades) .",
    "arxiv_id": "q-bio/0309001",
    "authors": [
      "David Angeli",
      "Eduardo D. Sontag"
    ],
    "categories": [
      "q-bio.QM",
      "q-bio.MN"
    ],
    "title": "Monotone Systems with Inputs and Outputs",
    "url": "https://arxiv.org/abs/q-bio/0309001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ccaebc51-1550-4d45-a9fc-255781b84315",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}