Parsimonious computational inference protocol for Boolean networks: Application to osteogenesis

Fuente: arXiv
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Hauptverfasser: Demongeot, Jacques, Rojas, Alonso Espinoza, Goles, Eric, Montalva-Medel, Marco, Sené, Sylvain, Tichit, Laurent
Format: Preprint
Veröffentlicht: 2026
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author Demongeot, Jacques
Rojas, Alonso Espinoza
Goles, Eric
Montalva-Medel, Marco
Sené, Sylvain
Tichit, Laurent
author_facet Demongeot, Jacques
Rojas, Alonso Espinoza
Goles, Eric
Montalva-Medel, Marco
Sené, Sylvain
Tichit, Laurent
contents Boolean networks are powerful mathematical tools for modeling the qualitative dynamics of genetic regulation. Yet inferred models often generate spurious attractors that lack biological viability. In this paper, we propose a parsimonious computational framework to systematically refine Boolean network models by eliminating these non-biological asymptotic behaviors while strictly preserving known, biologically relevant attractors. Through an exhaustive exploration of local function substitutions, we generate a comprehensive set of candidate models. To identify the most biologically consistent networks, we implement an incremental pruning protocol that filters candidates based on structural interaction digraph similarity, attraction basin topological organization, trajectorial isomorphism, and the minimization of dynamical instability and frustration. We apply this methodology to a 9-node genetic control model of the osteogenesis regulation network. Our protocol effectively evaluates a syntactic search space of 51,138 potential networks, ultimately narrowing them down to a robust family of 6 parsimonious models that are fully compatible with current biological knowledge.
format Preprint
id arxiv_https___arxiv_org_abs_2604_26700
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Parsimonious computational inference protocol for Boolean networks: Application to osteogenesis
Demongeot, Jacques
Rojas, Alonso Espinoza
Goles, Eric
Montalva-Medel, Marco
Sené, Sylvain
Tichit, Laurent
Molecular Networks
Boolean networks are powerful mathematical tools for modeling the qualitative dynamics of genetic regulation. Yet inferred models often generate spurious attractors that lack biological viability. In this paper, we propose a parsimonious computational framework to systematically refine Boolean network models by eliminating these non-biological asymptotic behaviors while strictly preserving known, biologically relevant attractors. Through an exhaustive exploration of local function substitutions, we generate a comprehensive set of candidate models. To identify the most biologically consistent networks, we implement an incremental pruning protocol that filters candidates based on structural interaction digraph similarity, attraction basin topological organization, trajectorial isomorphism, and the minimization of dynamical instability and frustration. We apply this methodology to a 9-node genetic control model of the osteogenesis regulation network. Our protocol effectively evaluates a syntactic search space of 51,138 potential networks, ultimately narrowing them down to a robust family of 6 parsimonious models that are fully compatible with current biological knowledge.
title Parsimonious computational inference protocol for Boolean networks: Application to osteogenesis
topic Molecular Networks
url https://arxiv.org/abs/2604.26700