ArticleBiophysical journal2005
Transition from stochastic to deterministic behavior in calcium oscillations.
Article in Biophysical journal, 2005. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 26 papers.
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Who cites it
26 citing papers in PubMed.
- Calcium dynamics in small spaces: Lessons learned from modeling in dendritic spines.Biophysical journal · 2025Review
- Stochastic model of IP3-induced Ca2+ spiking of HEK293 cells.PLoS computational biology · 2025Article
- Dendritic spine morphology regulates calcium-dependent synaptic weight change.The Journal of general physiology · 2022Article
- Buffering and total calcium levels determine the presence of oscillatory regimes in cardiac cells.PLoS computational biology · 2020Article
- Biological Oscillators in Nanonetworks-Opportunities and Challenges.Sensors (Basel, Switzerland) · 2018Review
- Modeling-Based Investigation of the Effect of Noise in Cellular Systems.Frontiers in molecular biosciences · 2018Review
- Article
- Deterministic inference for stochastic systems using multiple shooting and a linear noise approximation for the transition probabilities.IET systems biology · 2015Article
- Exploiting intrinsic fluctuations to identify model parameters.IET systems biology · 2015Article
- Towards the Physics of Calcium Signalling in Plants.Plants (Basel, Switzerland) · 2013Review
- Stochastic contribution for the coding of agonist induced calcium oscillation in hepatocytes.European biophysics journal : EBJ · 2013Article
- Biochemical fluctuations, optimisation and the linear noise approximation.BMC systems biology · 2012Article
- Article
- Calcium oscillations.Cold Spring Harbor perspectives in biology · 2011Review
- Stochastic hybrid modeling of intracellular calcium dynamics.The Journal of chemical physics · 2010Article
- 17Beta-estradiol elevates cGMP and, via plasma membrane recruitment of protein kinase GIalpha, stimulates Ca2+ efflux from rat hepatocytes.The Journal of biological chemistry · 2010Article
- Calcium signals driven by single channel noise.PLoS computational biology · 2010Article
- Complex life forms may arise from electrical processes.Theoretical biology & medical modelling · 2010Article
- Cell surface topology creates high Ca2+ signalling microdomains.Cell calcium · 2010Article
- Nonlinear time series analysis of nodulation factor induced calcium oscillations: evidence for deterministic chaos?PloS one · 2009Article
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Authors and funding
6 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Simulation and modeling is becoming more and more important when studying complex biochemical systems. Most often, ordinary differential equations are employed for this purpose. However, these are only applicable when the numbers of participating molecules in the biochemical systems are large enough to be treated as concentrations. For smaller systems, stochastic simulations on discrete particle basis are more accurate. Unfortunately, there are no general rules for determining which method should be employed for exactly which problem to get the most realistic result. Therefore, we study the transition from stochastic to deterministic behavior in a widely studied system, namely the signal transduction via calcium, especially calcium oscillations. We observe that the transition occurs within a range of particle numbers, which roughly corresponds to the number of receptors and channels in the cell, and depends heavily on the attractive properties of the phase space of the respective systems dynamics. We conclude that the attractive properties of a system, expressed, e.g., by the divergence of the system, are a good measure for determining which simulation algorithm is appropriate in terms of speed and realism.
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