单调布尔函数直接邻居的计算
Computation of Immediate Neighbours of Monotone Boolean Functions
AI总结：
本文针对布尔网络模型参数化问题，提出了计算单调非退化布尔函数偏序集中直接邻居的原始规则，为布尔网络合成与修订的高效方法奠定基础。
摘要：
布尔网络是研究基因和信号网络行为的重要数学模型。这些网络定义了分子节点之间的调控影响，每个节点关联一个布尔变量和一个调控（局部）函数，该函数根据其调控因子指定其动态行为。然而，现有数据大多不足以充分参数化模型，即无法为每个节点唯一定义调控函数。为了支持模型参数化，本文给出了与给定调控结构兼容的布尔函数集合（即单调非退化布尔函数的偏序集）上的结果。更精确地说，我们提出了获得该集合中任何函数的直接邻居的原始规则。除了理论意义外，所提出的结果将有助于开发更高效的布尔网络合成和修订方法，受益于对调控函数邻近区域的逐步探索。
英文摘要：
Boolean networks constitute relevant mathematical models to study the behaviours of genetic and signalling networks. These networks define regulatory influences between molecular nodes, each being associated to a Boolean variable and a regulatory (local) function specifying its dynamical behaviour depending on its regulators. However, existing data is mostly insufficient to adequately parametrise a model, that is to uniquely define a regulatory function for each node. With the intend to support model parametrisation, this paper presents results on the set of Boolean functions compatible with a given regulatory structure, i.e. the partially ordered set of monotone non-degenerate Boolean functions. More precisely, we present original rules to obtain the direct neighbours of any function of this set. Besides a theoretical interest, presented results will enable the development of more efficient methods for Boolean network synthesis and revision, benefiting from the progressive exploration of the vicinity of regulatory functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
