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Competition enhances stochasticity in biochemical reactions
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10.1063/1.4816527
/content/aip/journal/jcp/139/12/10.1063/1.4816527
http://aip.metastore.ingenta.com/content/aip/journal/jcp/139/12/10.1063/1.4816527
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Phase diagrams of for (a) = 50, = 1000, = 20 000, and for (b) = 50, = 1000, = 20 000. Different colors denote different percentages (blue: 50% < < 75%, green: 75% < < 100%, red: 100% < < 150%, black: > 150%).

Image of FIG. 2.
FIG. 2.

Probability distribution comparison under competitive (case (i)) conditions (solid line) and non-competitive (case (ii)) conditions (dashed line) with = 50, = = 500, and = = 1000 (case (i): ⟨ ⟩ = 25.0, σ = 3.45; case (ii): , ).

Image of FIG. 3.
FIG. 3.

Phase diagrams of for (a) = 50, = 1000, = 1000, and for (b) = 50, = 1000, = 1000. Different colors denote different η values (blue: 2.0 < η < 4.0, green: 4.0 < η < 6.0, red: 6.0 < η < 8.0, black: η > 8.0).

Image of FIG. 4.
FIG. 4.

Plots of and as a function of β = / with = = 1000 and varying values of (blue lines: = 5; green lines: = 25; red lines: = 50). The maximum value between and is 10 000 and the other is derived based on the value of β (e.g., for β = 0.5, = 5000, and = 10 000; for β = 2, = 10 000, and = 5000).

Image of FIG. 5.
FIG. 5.

Plots of and as a function of α = / with = = 1000 and varying values of (blue lines: = 5; green lines: = 25; red lines: = 50). The maximum value between and is 10 000 and the other is derived based on the value of α (e.g., for α = 0.5, = 5000, and = 10 000; for α = 2, = 10 000, and = 5000).

Image of FIG. 6.
FIG. 6.

Plot of as a function of for a fixed value of = 50 with (a) = = 1 and (b) = = 1000. The blue line represents = 2, the green line = 10, the red line = 20, and the black line = 50.

Image of FIG. 7.
FIG. 7.

Joint distribution of and for = 10 000, = = 5000, and = = 100. Different color points denote different probabilities (blue: ( , ) < 0.25%; red: 0.25% < ( , ) < 3%; black: ( , ) > 3%) and the green square denotes the coordinates of ⟨ ⟩ = 145.9 and ⟨ ⟩ = 145.9; = = 100 would be the single value predicted by mass action laws.

Image of FIG. 8.
FIG. 8.

Time evolution of the average (Gillespie simulation = black circles; analytical solution with fluctuation = black line; analytical mass action solution = green line) and standard deviation (Gillespie simulation = red circles; analytical solution with fluctuation = red line) of the number of complexes (left panel) and (right panel) with = 5, = 10, = 5, = 0.01  s, = 1  s, = 1  s, = 0.5  s, and initial conditions of ( = 0) = 0, and ( = 0) = 0. Equilibrium values are: ⟨ = 0.11, ⟨ = 0.13, σ = 0.32, ⟨ = 3.8, ⟨ = 3.6, σ = 0.8.

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/content/aip/journal/jcp/139/12/10.1063/1.4816527
2013-07-29
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Competition enhances stochasticity in biochemical reactions
http://aip.metastore.ingenta.com/content/aip/journal/jcp/139/12/10.1063/1.4816527
10.1063/1.4816527
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