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Author Goles, E.; Lobos, F.; Ruz, G.A.; Sene, S. doi  openurl
  Title Attractor landscapes in Boolean networks with firing memory: a theoretical study applied to genetic networks Type Journal Article
  Year 2020 Publication Natural Computing Abbreviated Journal (up) Nat. Comput.  
  Volume to appear Issue Pages 25 pp  
  Keywords Discrete dynamical systems; Boolean networks; Biological network modeling  
  Abstract In this paper we study the dynamical behavior of Boolean networks with firing memory, namely Boolean networks whose vertices are updated synchronously depending on their proper Boolean local transition functions so that each vertex remains at its firing state a finite number of steps. We prove in particular that these networks have the same computational power than the classical ones, i.e. any Boolean network with firing memory composed of m vertices can be simulated by a Boolean network by adding vertices. We also prove general results on specific classes of networks. For instance, we show that the existence of at least one delay greater than 1 in disjunctive networks makes such networks have only fixed points as attractors. Moreover, for arbitrary networks composed of two vertices, we characterize the delay phase space, i.e. the delay values such that networks admits limit cycles or fixed points. Finally, we analyze two classical biological models by introducing delays: the model of the immune control of the lambda\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}-phage and that of the genetic control of the floral morphogenesis of the plant Arabidopsis thaliana.  
  Address [Goles, Eric; Lobos, Fabiola; Ruz, Gonzalo A.] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: eric.chacc@uai.cl;  
  Corporate Author Thesis  
  Publisher Springer Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 1567-7818 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000531210800001 Approved no  
  Call Number UAI @ eduardo.moreno @ Serial 1139  
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