{
  "annotation_id": "14d6cb21-a1f8-4b6f-93aa-2486bd6a251a",
  "date_created": "2026-03-02T18:01:35.799000Z",
  "date_modified": "2026-03-02T18:01:35.799000Z",
  "file_hash": "3e746c9602dda33baab4d2f1dbb3d8e15923d5751f4032d6c37f8f30d772f3c6",
  "private": false,
  "record": {
    "abstract": "Many cell types exhibit oscillatory activity, such as repetitive action\npotential firing due to the Hodgkin-Huxley dynamics of ion channels in the cell\nmembrane or reveal intracellular inositol triphosphate (IP$_3$) mediated\ncalcium oscillations (CaOs) by calcium-induced calcium release channels\n(IP$_3$-receptor) in the membrane of the endoplasmic reticulum (ER). The\ndynamics of the excitable membrane and that of the IP$_3$-mediated CaOs have\nbeen the subject of many studies. However, the interaction between the\nexcitable cell membrane and IP$_3$-mediated CaOs, which are coupled by\ncytosolic calcium which affects the dynamics of both, has not been studied.\nThis study for the first time applied stability analysis to investigate the\ndynamic behavior of a model, which includes both an excitable membrane and an\nintracellular IP$_3$-mediated calcium oscillator. Taking the IP$_3$\nconcentration as a control parameter, the model exhibits a novel rich spectrum\nof stable and unstable states with hysteresis. The four stable states of the\nmodel correspond in detail to previously reported growth-state dependent states\nof the membrane potential of normal rat kidney fibroblasts in cell culture. The\nhysteresis is most pronounced for experimentally observed parameter values of\nthe model, suggesting a functional importance of hysteresis. This study shows\nthat the four growth-dependent cell states may not reflect the behavior of\ncells that have differentiated into different cell types with different\nproperties, but simply reflect four different states of a single cell type,\nthat is characterized by a single model.",
    "arxiv_id": "q-bio/0607051",
    "authors": [
      "J. M. A. M. Kusters",
      "J. M. Cortes",
      "W. P. M. van Meerwijk",
      "D. L. Ypey",
      "A. P. R. Theuvenet",
      "C. C. A. M. Gielen"
    ],
    "categories": [
      "q-bio.CB"
    ],
    "doi": "10.1103/PhysRevLett.98.098107",
    "title": "Hysteresis and bi-stability by an interplay of calcium oscillations and   action potential firing",
    "url": "https://arxiv.org/abs/q-bio/0607051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f46e4a46-e881-4836-ad46-5e139e08c08f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}