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Diffusive spatio-temporal noise in a first-passage time model for intracellular calcium release
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10.1063/1.4796417
/content/aip/journal/jcp/138/15/10.1063/1.4796417
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/15/10.1063/1.4796417
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Representation of the TRM model domain (top panel). Blue boxes model Ca2+ ions on-lattice and the red box models Ca2+ ions off-lattice. The bottom panel shows details of the red box.

Image of FIG. 2.
FIG. 2.

Probability distributions and means for the interpuff time for C = 1 given by theoretical estimates (black dashed line), 106 MC simulations (red solid line), and 103 TRM simulations (blue solid line). The actual simulated TRM simulation data is indicated by the histogram showing actual simulated probabilities over intervals of time and blue dashed lines indicating the subsequent standard error in the mean. Parameters used: N = 3, k 1 = 100 (μM s)−1, k 2 = 20 s−1, c 0 = 0.02 μM, and D = 220 μm2 s−1 (for TRM simulations only). The standard deviation of the MC opening time data was 6.732 s and was 5.717 s for the TRM opening time data.

Image of FIG. 3.
FIG. 3.

Probability distributions and means for the interpuff time for C = 9 given by 106 MC simulations f MC (τ) (red solid line) and 103 TRM simulations f TRM (τ) (blue solid line). The actual simulated TRM simulation data is indicated by the histogram showing actual simulated probabilities over intervals of time and blue dashed lines indicating the subsequent standard error in the mean. Parameters used: N = 3, k 1 = 100 (μM s)−1, k 2 = 20 s−1, c 0 = 0.02 μM, and D = 220 μm2 s−1 (for TRM simulations only). The standard deviation of the MC opening time data was 0.810 s and was 0.649 s for the TRM opening time data.

Image of FIG. 4.
FIG. 4.

(a) Channel opening rate estimate given by (9) versus concentration for N = 1 (blue solid line), N = 2 (blue dashed line), N = 3 (red solid line), and N = 4 (red dashed line). (b) The versus concentration for N = 1 (blue solid line), N = 2 (blue dashed line), N = 3 (red solid line), and N = 4 (red dashed line) showing positive convexity for all concentrations. The dashed gray line indicates the approximate steady intracellular concentration (used in simulations) of c 0 = 0.02 μM. All blue lines correspond with a y axis on the left side of the plot and red lines correspond with a y axis on the right side of the plot.

Image of FIG. 5.
FIG. 5.

Expected interpuff times E(τ) for variations in the required number of subunits N that need to be active for a channel to open and initiate a puff measured using 106 MC simulations (red bars) and 103 TRM simulations (blue bars). Parameters used: C = 9, k 1 = 100 (μM s)−1, k 2 = 20 s−1, c 0 = 0.02 μM, and D = 220 μm2 s−1 (for TRM simulations only).

Image of FIG. 6.
FIG. 6.

The ratio of the expected interpuff times computed using the TRM and using the Monte Carlo channel state simulation for different values of the diffusion constant D (found from 103 TRM simulations for each value of D). The solid line indicates the ratio equal to 1. Parameters used: N = 3, C = 9 (hollow squares), C = 1 (filled circles), k 1 = 100 (μM s)−1, k 2 = 20 s−1, and c 0 = 0.02 μM.

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/content/aip/journal/jcp/138/15/10.1063/1.4796417
2013-04-17
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Diffusive spatio-temporal noise in a first-passage time model for intracellular calcium release
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/15/10.1063/1.4796417
10.1063/1.4796417
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