{
  "annotation_id": "d347caf7-2178-48f1-b80c-10f43322f21b",
  "date_created": "2026-03-02T18:00:43.472000Z",
  "date_modified": "2026-03-02T18:00:43.472000Z",
  "file_hash": "ab651e290db9203fd020ad07421ecef7e97c4b53e607c8e65d721238b09f3187",
  "private": false,
  "record": {
    "abstract": "We investigate a map-based model of paced cardiac muscle in the presence of\nclosed-loop feedback control. The model relates the duration of an action\npotential to the preceding diastolic interval as well as the preceding action\npotential duration and thus has some amount of `memory.\u0027 We find that the\ndomain of control depends on this memory, independently of the specific\nfunctional form of the map. The memory-dependent domain of control can\nencompass large feedback gains, thus providing the first possible explanation\nof the recent experimental results of Hall et al. [Phys. Rev. Lett, 88, 198102\n(2002)] on controlling alternans in small pieces of rapidly-paced cardiac\nmuscle.",
    "arxiv_id": "physics/0303099",
    "authors": [
      "Elena Tolkacheva",
      "Monica M. Romeo",
      "Daniel J. Gauthier"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio"
    ],
    "doi": "10.1016/j.physd.2004.03.008",
    "title": "Control of cardiac alternans in a mapping model with memory",
    "url": "https://arxiv.org/abs/physics/0303099"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a0eb6fb3-fe94-4fd1-82c8-ba02b5de4062",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}