{
  "annotation_id": "7b83b2cb-292c-4383-83a8-69b4de8457d9",
  "date_created": "2026-03-02T18:01:35.498000Z",
  "date_modified": "2026-03-02T18:01:35.498000Z",
  "file_hash": "c1a9a3578dae9a2c8aad177c10b9dcceef6e4fb2ffa0f4e815935fb8ca0162d0",
  "private": false,
  "record": {
    "abstract": "We study the stochastic kinetics of a signaling module consisting of a\ntwo-state stochastic point process with negative feedback. In the active state,\na product is synthesized which increases the active-to-inactive transition rate\nof the process. We analyze this simple autoregulatory module using a\npath-integral technique based on the temporal statistics of state flips of the\nprocess. We develop a systematic framework to calculate averages,\nautocorrelations, and response functions by treating the feedback as a weak\nperturbation. Explicit analytical results are obtained to first order in the\nfeedback strength. Monte Carlo simulations are performed to test the analytical\nresults in the weak feedback limit and to investigate the strong feedback\nregime. We conclude by relating some of our results to experimental\nobservations in the olfactory and visual sensory systems.",
    "arxiv_id": "q-bio/0607007",
    "authors": [
      "Manoj Gopalakrishnan",
      "Peter Borowski",
      "Frank J\u00fclicher",
      "Martin Zapotocky"
    ],
    "categories": [
      "q-bio.QM",
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "doi": "10.1103/PhysRevE.76.021904",
    "journal_ref": "Phys.Rev.E 76, 021904 (2007)",
    "title": "Response and fluctuations of a two-state signaling module with feedback",
    "url": "https://arxiv.org/abs/q-bio/0607007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a5521811-4825-4f02-a84a-89c607137db1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}