A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells.
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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2014-08-01
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| Series: | PLoS Computational Biology |
| Online Access: | http://europepmc.org/articles/PMC4133161?pdf=render |
| _version_ | 1818858374673989632 |
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| author | Pengxing Cao Xiahui Tan Graham Donovan Michael J Sanderson James Sneyd |
| author_facet | Pengxing Cao Xiahui Tan Graham Donovan Michael J Sanderson James Sneyd |
| author_sort | Pengxing Cao |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-19T08:55:17Z |
| format | Article |
| id | doaj.art-2be8ba8e19094976b82a1f456efba267 |
| institution | Directory Open Access Journal |
| issn | 1553-734X 1553-7358 |
| language | English |
| last_indexed | 2024-12-19T08:55:17Z |
| publishDate | 2014-08-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS Computational Biology |
| spelling | doaj.art-2be8ba8e19094976b82a1f456efba2672022-12-21T20:28:37ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582014-08-01108e100378310.1371/journal.pcbi.1003783A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells.Pengxing CaoXiahui TanGraham DonovanMichael J SandersonJames SneydThe 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.http://europepmc.org/articles/PMC4133161?pdf=render |
| spellingShingle | Pengxing Cao Xiahui Tan Graham Donovan Michael J Sanderson James Sneyd A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells. PLoS Computational Biology |
| title | A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells. |
| title_full | A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells. |
| title_fullStr | A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells. |
| title_full_unstemmed | A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells. |
| title_short | A deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells. |
| title_sort | deterministic model predicts the properties of stochastic calcium oscillations in airway smooth muscle cells |
| url | http://europepmc.org/articles/PMC4133161?pdf=render |
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