Scalar equations for synchronous Boolean networks with biological applications

Christopher Farrow, Jack Heidel, John Maloney, Jim Rogers

Research output: Contribution to journalArticlepeer-review

126 Scopus citations


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 organism. 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.

Original languageEnglish (US)
Pages (from-to)348-354
Number of pages7
JournalIEEE Transactions on Neural Networks
Issue number2
StatePublished - Mar 2004


  • Boolean network
  • Nonlinear scalar equation
  • Reduced scalar equation

ASJC Scopus subject areas

  • Software
  • Computer Science Applications
  • Computer Networks and Communications
  • Artificial Intelligence


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