Title
Scalar equations for synchronous Boolean networks with biological applications
Abstract
One way of coping with the complexity of biological systems is to use the simplest possible models which are able to reproduce at least some nontrivial features of reality. Although two value Boolean models have a long history in technology, it is perhaps a little bit surprising that they can also represent important features of living organizms. In this paper, the scalar equation approach to Boolean network models is further developed and then applied to two interesting biological models. In particular, a linear reduced scalar equation is derived from a more rudimentary nonlinear scalar equation. This simpler, but higher order, two term equation gives immediate information about both cycle and transient structure of the network.
Year
DOI
Venue
2004
10.1109/TNN.2004.824262
IEEE Transactions on Neural Networks
Keywords
Field
DocType
Boolean functions,biology,nonlinear equations,synchronisation,biological applications,linear reduced scalar equation,nonlinear scalar equation,synchronous Boolean network
Boolean function,Boolean network,Applied mathematics,Synchronization,Nonlinear system,Computer science,Scalar (physics),Pure mathematics,Artificial intelligence,Machine learning
Journal
Volume
Issue
ISSN
15
2
1045-9227
Citations 
PageRank 
References 
50
6.38
2
Authors
4
Name
Order
Citations
PageRank
Christopher Farrow1506.38
Jack Heidel28413.49
John Maloney3506.38
J. A. Rogers48513.53