ArticlePloS one2012
Hierarchic stochastic modelling applied to intracellular Ca(2+) signals.
Article in PloS one, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Large deviations of piecewise-deterministic Markov processes with application to stochastic calcium waves.Journal of mathematical biology · 2026Article
- Description of chemical systems by means of response functions.Journal of mathematical biology · 2025Article
- Endoplasmic Reticulum Calcium Pumps and Tumor Cell Differentiation.International journal of molecular sciences · 2020Review
- A Bayesian approach to modelling heterogeneous calcium responses in cell populations.PLoS computational biology · 2017Article
- Role of time delay on intracellular calcium dynamics driven by non-Gaussian noises.Scientific reports · 2016Article
- Exact stochastic simulation of a calcium microdomain reveals the impact of Ca²⁺ fluctuations on IP₃R gating.Biophysical journal · 2015Article
- Reliable encoding of stimulus intensities within random sequences of intracellular Ca2+ spikes.Science signaling · 2014Article
- Towards the Physics of Calcium Signalling in Plants.Plants (Basel, Switzerland) · 2013Review
- Article
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Authors and funding
3 authors.
Funding
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Abstract
Important biological processes like cell signalling and gene expression have noisy components and are very complex at the same time. Mathematical analysis of such systems has often been limited to the study of isolated subsystems, or approximations are used that are difficult to justify. Here we extend a recently published method (Thurley and Falcke, PNAS 2011) which is formulated in observable system configurations instead of molecular transitions. This reduces the number of system states by several orders of magnitude and avoids fitting of kinetic parameters. The method is applied to Ca(2+) signalling. Ca(2+) is a ubiquitous second messenger transmitting information by stochastic sequences of concentration spikes, which arise by coupling of subcellular Ca(2+) release events (puffs). We derive analytical expressions for a mechanistic Ca(2+) model, based on recent data from live cell imaging, and calculate Ca(2+) spike statistics in dependence on cellular parameters like stimulus strength or number of Ca(2+) channels. The new approach substantiates a generic Ca(2+) model, which is a very convenient way to simulate Ca(2+) spike sequences with correct spiking statistics.
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