%0 Conference Proceedings
%T On the Effects of Firing Memory in the Dynamics of Conjunctive Networks
%+ Facultad de Ingeniería y Ciencias [Santiago]
%+ Universidad de Chile = University of Chile [Santiago] (UCHILE)
%A Goles, Eric
%A Montealegre, Pedro
%A Ríos-Wilson, Martín
%< avec comité de lecture
%( Lecture Notes in Computer Science
%B 25th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA)
%C Guadalajara, Mexico
%Y Alonso Castillo-Ramirez
%Y Pedro P. B. de Oliveira
%I Springer International Publishing
%3 Cellular Automata and Discrete Complex Systems
%V LNCS-11525
%P 1-19
%8 2019-06-26
%D 2019
%R 10.1007/978-3-030-20981-0_1
%K Boolean network
%K Firing memory
%K Conjunctive networks
%K Prediction problem
%K PSPACE
%Z Computer Science [cs]Conference papers
%X Boolean networks are one of the most studied discrete models in the context of the study of gene expression. In order to define the dynamics associated to a Boolean network, there are several update schemes that range from parallel or synchronous to asynchronous. However, studying each possible dynamics defined by different update schemes might not be efficient. In this context, considering some type of temporal delay in the dynamics of Boolean networks emerges as an alternative approach. In this paper, we focus in studying the effect of a particular type of delay called firing memory in the dynamics of Boolean networks. Particularly, we focus in symmetric (non-directed) conjunctive networks and we show that there exist examples that exhibit attractors of non-polynomial period. In addition, we study the prediction problem consisting in determinate if some vertex will eventually change its state, given an initial condition. We prove that this problem is PSPACE-complete.
%G English
%Z TC 1
%Z WG 1.5
%2 https://inria.hal.science/hal-02312604/document
%2 https://inria.hal.science/hal-02312604/file/484947_1_En_1_Chapter.pdf
%L hal-02312604
%U https://inria.hal.science/hal-02312604
%~ IFIP-LNCS
%~ IFIP
%~ IFIP-TC
%~ IFIP-TC1
%~ IFIP-WG1-5
%~ IFIP-AUTOMATA
%~ IFIP-LNCS-11525