Robustness of Boolean networks to update modes: an application to hereditary angioedema
Journal:
arXiv
Published Date:
May 20, 2025
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.
