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.
翻译:许多家族性疾病由遗传意外引起,这既影响基因组也影响其表观遗传环境,表现为基因间的相互作用图,正如我们将要研究的家族性疾病——遗传性血管性水肿所涉及的基因网络。该图顶点上的基因状态更新(若基因激活则为1,受抑制则为0)有多种方式,其中一些在过去二十年中得到了深入研究:并行更新、顺序更新、块顺序更新、块并行更新、随机更新等。我们将研究一个具体的图,该图与作为示例提出的家族性疾病相关,其子图以一种错综复杂的方式被激活(即交替的块并行更新模式,其中一个核心部分持续更新,而两个互补的基因子集交替更新),我们将在一些经典周期性更新模式的背景下,研究其结构上的鲁棒性或非鲁棒性方面。