The Dynamics of Canalizing Boolean Networks
Joint Authors
Laubenbacher, Reinhard
Paul, Elijah
Pogudin, Gleb
Qin, William
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Boolean networks are a popular modeling framework in computational biology to capture the dynamics of molecular networks, such as gene regulatory networks.
It has been observed that many published models of such networks are defined by regulatory rules driving the dynamics that have certain so-called canalizing properties.
In this paper, we investigate the dynamics of a random Boolean network with such properties using analytical methods and simulations.
From our simulations, we observe that Boolean networks with higher canalizing depth have generally fewer attractors, the attractors are smaller, and the basins are larger, with implications for the stability and robustness of the models.
These properties are relevant to many biological applications.
Moreover, our results show that, from the standpoint of the attractor structure, high canalizing depth, compared to relatively small positive canalizing depth, has a very modest impact on dynamics.
Motivated by these observations, we conduct mathematical study of the attractor structure of a random Boolean network of canalizing depth one (i.e., the smallest positive depth).
For every positive integer ℓ, we give an explicit formula for the limit of the expected number of attractors of length ℓ in an n-state random Boolean network as n goes to infinity.
American Psychological Association (APA)
Paul, Elijah& Pogudin, Gleb& Qin, William& Laubenbacher, Reinhard. 2020. The Dynamics of Canalizing Boolean Networks. Complexity،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1141600
Modern Language Association (MLA)
Paul, Elijah…[et al.]. The Dynamics of Canalizing Boolean Networks. Complexity No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1141600
American Medical Association (AMA)
Paul, Elijah& Pogudin, Gleb& Qin, William& Laubenbacher, Reinhard. The Dynamics of Canalizing Boolean Networks. Complexity. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1141600
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141600