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    A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells.

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    29
    Author
    Cao, P; Tan, X; Donovan, G; Sanderson, MJ; Sneyd, J
    Date
    2014-08
    Source Title
    PLoS Computational Biology
    Publisher
    Public Library of Science (PLoS)
    University of Melbourne Author/s
    Cao, Pengxing
    Affiliation
    School of Mathematics and Statistics
    Metadata
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    Document Type
    Journal Article
    Citations
    Cao, P., Tan, X., Donovan, G., Sanderson, M. J. & Sneyd, J. (2014). A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells.. PLoS Comput Biol, 10 (8), pp.e1003783-. https://doi.org/10.1371/journal.pcbi.1003783.
    Access Status
    Open Access
    URI
    http://hdl.handle.net/11343/258956
    DOI
    10.1371/journal.pcbi.1003783
    Open Access at PMC
    http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4133161
    Abstract
    The inositol trisphosphate receptor ([Formula: see text]) is one of the most important cellular components responsible for oscillations in the cytoplasmic calcium concentration. Over the past decade, two major questions about the [Formula: see text] have arisen. Firstly, how best should the [Formula: see text] be modeled? In other words, what fundamental properties of the [Formula: see text] allow it to perform its function, and what are their quantitative properties? Secondly, although calcium oscillations are caused by the stochastic opening and closing of small numbers of [Formula: see text], is it possible for a deterministic model to be a reliable predictor of calcium behavior? Here, we answer these two questions, using airway smooth muscle cells (ASMC) as a specific example. Firstly, we show that periodic calcium waves in ASMC, as well as the statistics of calcium puffs in other cell types, can be quantitatively reproduced by a two-state model of the [Formula: see text], and thus the behavior of the [Formula: see text] is essentially determined by its modal structure. The structure within each mode is irrelevant for function. Secondly, we show that, although calcium waves in ASMC are generated by a stochastic mechanism, [Formula: see text] stochasticity is not essential for a qualitative prediction of how oscillation frequency depends on model parameters, and thus deterministic [Formula: see text] models demonstrate the same level of predictive capability as do stochastic models. We conclude that, firstly, calcium dynamics can be accurately modeled using simplified [Formula: see text] models, and, secondly, to obtain qualitative predictions of how oscillation frequency depends on parameters it is sufficient to use a deterministic model.

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