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The influence of canalization on the robustness of Boolean networks.
- Source :
-
Physica D . Sep2017, Vol. 353, p39-47. 9p. - Publication Year :
- 2017
-
Abstract
- Time- and state-discrete dynamical systems are frequently used to model molecular networks. This paper provides a collection of mathematical and computational tools for the study of robustness in Boolean network models. The focus is on networks governed by k -canalizing functions, a recently introduced class of Boolean functions that contains the well-studied class of nested canalizing functions. The variable activities and sensitivity of a function quantify the impact of input changes on the function output. This paper generalizes the latter concept to c -sensitivity and provides formulas for the activities and c -sensitivity of general k -canalizing functions as well as canalizing functions with more precisely defined structure. A popular measure for the robustness of a network, the Derrida value, can be expressed as a weighted sum of the c -sensitivities of the governing canalizing functions, and can also be calculated for a stochastic extension of Boolean networks. These findings provide a computationally efficient way to obtain Derrida values of Boolean networks, deterministic or stochastic, that does not involve simulation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *APPLIED mathematics
*SIMPLE machines
*DYNAMICAL systems
*MACHINERY
*HOROLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 01672789
- Volume :
- 353
- Database :
- Academic Search Index
- Journal :
- Physica D
- Publication Type :
- Academic Journal
- Accession number :
- 124043888
- Full Text :
- https://doi.org/10.1016/j.physd.2017.05.002