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arXiv · 2505.14923

Robustness of Boolean networks to update modes: an application to hereditary angioedema

Jacques Demongeot·Eric Goles·Houssem ben Khalfallah·Marco Montalva-Medel·Sylvain Sené
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Abstract

Many familial diseases are caused by genetic accidents, which affect both the genome and its epigenetic environment, expressed as an interaction graph between the genes as that involved in one familial disease we shall study, the hereditary angioedema. The update of the gene states at the vertices of this graph (1 if a gene is activated, 0 if it is inhibited) can be done in multiple ways, well studied over the last two decades: Parallel, sequential, block-sequential, block-parallel, random, etc. We will study a particular graph, related to the familial disease proposed as an example, which has subgraphs which activate in an intricate manner (\emph{i.e.}, in an alternating block-parallel mode, with one core constantly updated and two complementary subsets of genes alternating their updating), of which we will study the structural aspects, robust or unstable, in relation to some classical periodic update modes.

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Jacques Demongeot, Eric Goles, Houssem ben Khalfallah, Marco Montalva-Medel, Sylvain Sené. 2025-05-20. Robustness of Boolean networks to update modes: an application to hereditary angioedema. https://arxiv.org/abs/2505.14923

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