Stability of Boolean and continuous dynamics

Fakhteh Ghanbarnejad, Konstantin Klemm

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Regulatory dynamics in biology is often described by continuous rate equations for continuously varying chemical concentrations. Binary discretization of state space and time leads to Boolean dynamics. In the latter, the dynamics has been called unstable if flip perturbations lead to damage spreading. Here, we find that this stability classification strongly differs from the stability properties of the original continuous dynamics under small perturbations of the state vector. In particular, random networks of nodes with large sensitivity yield stable dynamics under small perturbations.

Original languageEnglish
Article number188701
JournalPhysical Review Letters
Volume107
Issue number18
DOIs
Publication statusPublished - Oct 26 2011
Externally publishedYes

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perturbation
state vectors
biology
damage
sensitivity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Stability of Boolean and continuous dynamics. / Ghanbarnejad, Fakhteh; Klemm, Konstantin.

In: Physical Review Letters, Vol. 107, No. 18, 188701, 26.10.2011.

Research output: Contribution to journalArticle

Ghanbarnejad, Fakhteh ; Klemm, Konstantin. / Stability of Boolean and continuous dynamics. In: Physical Review Letters. 2011 ; Vol. 107, No. 18.
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