Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 9 min ago
PreprintCC BY 4.0arXiv

A Stochastic Model of Intracellular Calcium Concentrations

  • Tomás Caraballo
  • Macarena Gómez-Mármol
  • Ignacio Roldán
Open at sourcePDFDOICite

Abstract

In this paper, we study a slow-fast model of Intracellular Calcium Concentrations (ICC) within a stochastic framework, where stochastic perturbations are introduced to capture the intrinsic randomness of such biological systems. We first analyse the three-dimensional single-cell model, based on the FitzHugh-Nagumo structure, and subsequently extend the analysis to a coupled two-cell six-dimensional setting. We prove existence and uniqueness of solutions and establish positivity of the calcium variable. We obtain explicit mean-square stability estimates around deterministic equilibria and quantify how they depend on the noise intensity. Numerical simulations for both the single-cell and coupled systems illustrate relevant qualitative behaviours and reveal additional dynamical features arising in the stochastic framework.

Related

  1. A stochastic model of compartmentalized intracellular signalling
    Léo Darrigade, Chloé Weckel, Romain Yvinec
    HALPreprintCC BY 4.0Full textBioinformatics & computational biologyProbabilityHAL
  2. Intracellular pH modulates the mechanosensitivity of OSCA/TMEM63 ion channels
    Ruijia Lai, Yang Zhang
    Journal of Biological ChemistryPeer-reviewedCC BY-NC-ND 4.0NeuroscienceCrossref
  3. Fluorescence microscopic evidence for intracellular silicon storage pools in diatoms and their partial separation
    T. Reichelt, J. Breyer, E. Brunner
    bioRxivPreprintAll rights reservedFull textPlant biologybioRxiv
  4. A Cell-based Screening Method Using an Intracellular Antibody for Discovering Small Molecules Targeting Hard-to-drug Proteins
    Nicolas Bery, Terry H Rabbitts
    Bio-protocolPeer-reviewedLicence not stated5 citedGeneral biochemistryGeneral biologyHAL
  5. Editorial: Evolution of antimicrobial resistance in intracellular bacterial pathogens: a genomic and historical perspective
    Kumaragurubaran Karthik, Maryam Dadar, Subbaiyan Anbazhagan +1
    Frontiers in MicrobiologyPeer-reviewedCC BY 4.0Full textMicrobiologyHAL

Cite

BibTeXRIS
BibTeX
@misc{caraballo2026stochastic,
  title = {{A Stochastic Model of Intracellular Calcium Concentrations}},
  author = {Tomás Caraballo and Macarena Gómez-Mármol and Ignacio Roldán},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.13213},
  eprint = {2609.13213},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.13213},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Stochastic Model of Intracellular Calcium Concentrations
AU  - Tomás Caraballo
AU  - Macarena Gómez-Mármol
AU  - Ignacio Roldán
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.13213
UR  - https://arxiv.org/abs/2609.13213
AB  - In this paper, we study a slow-fast model of Intracellular Calcium Concentrations (ICC) within a stochastic framework, where stochastic perturbations are introduced to capture the intrinsic randomness of such biological systems. We first analyse the three-dimensional single-cell model, based on the FitzHugh-Nagumo structure, and subsequently extend the analysis to a coupled two-cell six-dimensional setting. We prove existence and uniqueness of solutions and establish positivity of the calcium variable. We obtain explicit mean-square stability estimates around deterministic equilibria and quantify how they depend on the noise intensity. Numerical simulations for both the single-cell and coupled systems illustrate relevant qualitative behaviours and reveal additional dynamical features arising in the stochastic framework.
ER  -