In automata networks, it is well known that the way entities update their states over time has a major impact on their dynamics. In particular, depending on the chosen update schedule, the underlying dynamical systems may exhibit more or less asymptotic dynamical behaviours such as fixed points or limit cycles. Since such mathematical models have been used in the framework of biological networks modelling, the question of choosing appropriate update schedules has arised soon. In this note, focusing on Boolean networks, our aim is to emphasise that the adequate way of thinking regulations and genetic expression over time is certainly not to consider a wall segregating synchronicity from asynchronicity because they actually complement rather well. In particular, we highlight that specific update schedules, namely block-parallel update schedules, whose intrinsic features are still not known from a theoretical point of view, admit realistic and pertinent properties in the context of biological modelling and deserve certainly more attention from the community.
翻译:在自动网中,众所周知,实体在时间上更新其状态的方式对其动态有重大影响。特别是,根据所选择的更新时间表,基本动态系统可能多少表现出固定点或限制周期等非现时动态行为。由于这些数学模型已在生物网络建模框架内使用,选择适当更新时间表的问题很快就出现。在本说明中,侧重于布林网络,我们的目的是强调,随着时间的推移,适当的思维监管和遗传表达方式当然不是考虑将同步性与非同步性分离的墙壁,因为它们实际上是相当完善的。特别是,我们强调,具体的更新时间表,即区块平行更新时间表,其内在特征从理论上看仍然不为人所知,在生物建模中承认现实和相关的特性,当然值得社区更多关注。