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Stability of functions in Boolean models of gene regulatory networks
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10.1063/1.1996927
/content/aip/journal/chaos/15/3/10.1063/1.1996927
http://aip.metastore.ingenta.com/content/aip/journal/chaos/15/3/10.1063/1.1996927

Figures

Image of FIG. 1.
FIG. 1.

A cobweb diagram for the bias-maps of an Post-function . The stable fixed point is at zero, and therefore Boolean networks constructed using this function are stable.

Image of FIG. 2.
FIG. 2.

A cobweb diagram for the bias-map of a function with in-degree of the type . The cobweb diagram shows chaotic behavior for the bias-map.

Image of FIG. 3.
FIG. 3.

The iterative values for bias in two Boolean networks. The dotted lines are the corresponding bias iterates calculated numerically using quenched Boolean networks. The numerical results follow closely the annealed approximation (solid lines) in both cases. (a) The Boolean network is constructed using the experimental data set of gene regulatory functions. (b) The Boolean network is constructed using function .

Tables

Generic image for table
Generic image for table
Table I.

The proportion of Boolean functions in stabilizing, canalizing, and Post function classes over all functions when the number of function input variables varies.

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/content/aip/journal/chaos/15/3/10.1063/1.1996927
2005-07-21
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Stability of functions in Boolean models of gene regulatory networks
http://aip.metastore.ingenta.com/content/aip/journal/chaos/15/3/10.1063/1.1996927
10.1063/1.1996927
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