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Abstract: Boolean threshold networks have recently been proposed as useful tools tomodel the dynamics of genetic regulatory networks, and have been successfullyapplied to describe the cell cycles of \textit{S. cerevisiae} and \textit{S.pombe}. Threshold networks assume that gene regulation processes are additive.This, however, contrasts with the mechanism proposed by S. Kauffman in whicheach of the logic functions must be carefully constructed to accurately takeinto account the combinatorial nature of gene regulation. While KauffmanBoolean networks have been extensively studied and proved to have the necessaryproperties required for modeling the fundamental characteristics of geneticregulatory networks, not much is known about the essential properties ofthreshold networks. Here we study the dynamical properties of these networkswith different connectivities, activator-repressor proportions,activator-repressor strengths and different thresholds. Special attention ispaid to the way in which the threshold value affects the dynamical regime inwhich the network operates and the structure of the attractor landscape. Wefind that only for a very restricted set of parameters, these networks showdynamical properties consistent with what is observed in biological systems.The virtues of these properties and the possible problems related with therestrictions are discussed and related to earlier work that uses these kind ofmodels.



Author: Jorge G.T. Zañudo, Maximino Aldana, Gustavo Martínez-Mekler

Source: https://arxiv.org/







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