Diversified dynamic effects and their order origins in Boolean functions

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-02-01 DOI:10.1016/j.chaos.2024.115830

Yuxiang Yao , Zi-Gang Huang , Duanqing Pei

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引用次数: 0

Abstract

Interaction relationships are fundamental to the behavior of complex systems. This study, grounded in Boolean discrete systems, conducts a comprehensive investigation of ordered Boolean functions, elucidating their stabilization capacities, sources of ordering, and significance in gene networks. Our findings confirm that, irrespective of their original configuration or mode, ordered Boolean functions enhance system stability and pattern formation in diverse manners, rescuing systems from chaotic states. This enhancement in stability is evident and intricately connected to mapping tables of functions, reflected through diverse order metrics such as sensitivity, effective edge, and intrinsic order. An analysis of current gene network data reveals that the prevalence of ordered Boolean functions is tightly associated with gene regulation modes. The prominence of canalized and threshold functions signifies distinct genetic regulation behaviors, whereas the abundance of clique functions suggests unexplored mechanisms underlying gene regulation.

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布尔函数中的多样化动态效应及其阶次起源

交互关系是复杂系统行为的基础。本研究以布尔离散系统为基础，对有序布尔函数进行了全面研究，阐明了它们的稳定能力、有序性来源以及在基因网络中的意义。我们的研究结果证实，无论其原始配置或模式如何，有序布尔函数都能以多种方式增强系统稳定性和模式形成，将系统从混沌状态中拯救出来。这种稳定性的增强是显而易见的，而且与函数的映射表密切相关，并通过灵敏度、有效边缘和内在秩序等不同的秩序指标反映出来。对当前基因网络数据的分析表明，有序布尔函数的流行与基因调控模式密切相关。渠化函数和阈值函数的突出表现标志着不同的基因调控行为，而大量的clique函数则表明基因调控的潜在机制尚未被探索。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.