dorsal/arxiv
View SchemaHysteresis and bi-stability by an interplay of calcium oscillations and action potential firing
| 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 | |
| ArXiv ID | q-bio/0607051 |
| URL | https://arxiv.org/abs/q-bio/0607051 |
| DOI | 10.1103/PhysRevLett.98.098107 |
Abstract
Many cell types exhibit oscillatory activity, such as repetitive action potential firing due to the Hodgkin-Huxley dynamics of ion channels in the cell membrane or reveal intracellular inositol triphosphate (IP$_3$) mediated calcium oscillations (CaOs) by calcium-induced calcium release channels (IP$_3$-receptor) in the membrane of the endoplasmic reticulum (ER). The dynamics of the excitable membrane and that of the IP$_3$-mediated CaOs have been the subject of many studies. However, the interaction between the excitable cell membrane and IP$_3$-mediated CaOs, which are coupled by cytosolic calcium which affects the dynamics of both, has not been studied. This study for the first time applied stability analysis to investigate the dynamic behavior of a model, which includes both an excitable membrane and an intracellular IP$_3$-mediated calcium oscillator. Taking the IP$_3$ concentration as a control parameter, the model exhibits a novel rich spectrum of stable and unstable states with hysteresis. The four stable states of the model correspond in detail to previously reported growth-state dependent states of the membrane potential of normal rat kidney fibroblasts in cell culture. The hysteresis is most pronounced for experimentally observed parameter values of the model, suggesting a functional importance of hysteresis. This study shows that the four growth-dependent cell states may not reflect the behavior of cells that have differentiated into different cell types with different properties, but simply reflect four different states of a single cell type, that is characterized by a single model.
{
"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
}