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arXiv · 2407.01337

Computation of Immediate Neighbours of Monotone Boolean Functions

José E. R. Cury·Patrícia Tenera Roxo·Vasco Manquinho·Claudine Chaouiya·Pedro T. Monteiro
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Abstract

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.

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José E. R. Cury, Patrícia Tenera Roxo, Vasco Manquinho, Claudine Chaouiya, Pedro T. Monteiro. 2024-07-01. Computation of Immediate Neighbours of Monotone Boolean Functions. https://arxiv.org/abs/2407.01337

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