Discrete-state stochastic models of calcium-regulated calcium influx and subspace dynamics are not well-approximated by ODEs that neglect concentration fluctuations

DOI10.1155/2012/897371zbMath1256.92012DBLPjournals/cmmm/WeinbergS12OpenAlexW2098512872WikidataQ36676682 ScholiaQ36676682MaRDI QIDQ1929628

Gregory D. Smith, Seth H. Weinberg

Publication date: 9 January 2013

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/897371

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Physiology (general) (92C30) General theory for ordinary differential equations (34A99)

Related Items (1)

Microdomain [Ca²⁺ Fluctuations Alter Temporal Dynamics in Models of Ca²⁺-Dependent Signaling Cascades and Synaptic Vesicle Release]

Cites Work

• Size-independent differences between the mean of discrete stochastic systems and the corresponding continuous deterministic systems
• Stochastic approaches for modelling in vivo reactions
• Nonlinear stochastic dynamics of mesoscopic homogeneous biochemical reaction systems—an analytical theory
• Modeling and Simulating Chemical Reactions
• Calcium release site ultrastructure and the dynamics of puffs and sparks
• Concentration fluctuations in a mesoscopic oscillating chemical reaction system
• Noise in Gene Regulatory Networks

This page was built for publication: Discrete-state stochastic models of calcium-regulated calcium influx and subspace dynamics are not well-approximated by ODEs that neglect concentration fluctuations