On the Effects of Firing Memory in the Dynamics of Conjunctive Networks - Archive ouverte HAL Access content directly
Conference Papers Year : 2019

On the Effects of Firing Memory in the Dynamics of Conjunctive Networks

(1) , (1) , (2)
1
2

Abstract

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.
Fichier principal
Vignette du fichier
484947_1_En_1_Chapter.pdf (487.98 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02312604 , version 1 (11-10-2019)

Licence

Attribution - CC BY 4.0

Identifiers

Cite

Eric Goles, Pedro Montealegre, Martín Ríos-Wilson. On the Effects of Firing Memory in the Dynamics of Conjunctive Networks. 25th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA), Jun 2019, Guadalajara, Mexico. pp.1-19, ⟨10.1007/978-3-030-20981-0_1⟩. ⟨hal-02312604⟩
17 View
3 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More