1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Additivity of noise propagation in a protein cascade
Rent:
Rent this article for
USD
10.1063/1.2897919
/content/aip/journal/jcp/128/16/10.1063/1.2897919
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/16/10.1063/1.2897919
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Modeling genetic cascades, where the transcriptional rate of mRNA is assumed to be constant, and the transcriptional rates of mRNA are regulated only by protein for . The concentrations of proteins are denoted by for .

Image of FIG. 2.
FIG. 2.

The trajectories of difference [Eq. (21)] for four different cases are plotted, where (a) , (b) , (c) , and (d) .

Image of FIG. 3.
FIG. 3.

The sequence is plotted vs the cascade stage . It shows clearly how the expected output levels are dependent sensitively on the expected input levels, where (a) , , , and ; (b) , , , and ; (c) , , , and ; and (d) , , , and . For all the cases, we take .

Image of FIG. 4.
FIG. 4.

The Monte Carlo simulation results are plotted, where the cascade length is 10, and the parameters are taken as , , and in (a), and , , and in (b). The -axis denotes the noise and -axis the cascade stage . In both (a) and (b), all proteins have the same expectation, i.e., for for different values. The algorithm of Monte Carlo simulation is from Gillespie (Ref. 22). The stochastic simulation results match well with the theoretical predictions (dotted, solid dotted-broken, and broken lines).

Image of FIG. 5.
FIG. 5.

The noises vary as the function of input concentration and cascade length. The -axis denotes the cascade stage , -axis the input concentration , and -axis the noise. The parameters , , and are taken as , , and in (a), and , , and in (b).

Image of FIG. 6.
FIG. 6.

The normalized covariance measures the statistical correlation between proteins and . Here, the normalized covariance is plotted vs the input concentration and scade stage , where the parameters , , and are taken as , , and in (a), and , , and in (b).

Loading

Article metrics loading...

/content/aip/journal/jcp/128/16/10.1063/1.2897919
2008-04-30
2014-04-25
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Additivity of noise propagation in a protein cascade
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/16/10.1063/1.2897919
10.1063/1.2897919
SEARCH_EXPAND_ITEM