{
  "annotation_id": "c9e71dbf-b345-45c9-8f5b-973785dcc9a8",
  "date_created": "2026-03-02T18:01:07.356000Z",
  "date_modified": "2026-03-02T18:01:07.356000Z",
  "file_hash": "59549dda13f3d42cdbf59eef5db4b92d46713739bf342d4c8071a06bca5f4cdc",
  "private": false,
  "record": {
    "abstract": "The fluid shear stress is an important regulator of the cardiovascular system\nvia the endothelium-derived relaxing factor (EDRF) that is Nitric Oxide. This\nmechanism involves biochemical reactions in an arterial wall. The\nautoregulation process is managed by the vascular tonus and gives the negative\nfeedback for the shear stress changing. A new mathematical model for the\nautoregulation of a blood flow through arteria under the constant transmural\npressure is presented. Endothelium-derived relaxing factor Nitric Oxide, the\nmulti-layer structure of an arterial wall, and kinetic-diffusion processes are\ntaken into consideration. The limit case of the thin-wall artery is\nanalytically studied. The stability condition for a stationary point of the\nlinearized system is given. The exact stationary solutions of the origin system\nare found. The numerical simulation for the autoregulation system is presented.\nIt is shown the arteria adaptation to an initial radial perturbation and the\ntransition of the system to new equilibrium state in response on the blood flow\nchanging.",
    "arxiv_id": "physics/0604192",
    "authors": [
      "Igor L. Chernyavsky",
      "Nikolai A. Kudryashov"
    ],
    "categories": [
      "physics.bio-ph",
      "physics.flu-dyn"
    ],
    "title": "Mathematical model for blood flow autoregulation by endothelium-derived   relaxing factor",
    "url": "https://arxiv.org/abs/physics/0604192"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "35366c21-0bf1-4337-9953-e94a3ae92eca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}