From Boolean networks to linear dynamical systems: a simplified route
From Boolean networks to linear dynamical systems: a simplified route
复制标题
DOI：
10.1080/10236198.2023.2220811
复制
发表时间：
2023-06-13
影响因子：
1.1
通讯作者：
Ben-Tal，Alona
中科院分区：
文献类型：
--
作者：
Wang，Yunjiao;Leite，Maria C. A.;Ben-Tal，Alona
布尔网络可以通过半张量积方法转化为有限空间上的离散线性动力系统。这种方法已经被许多人用来研究布尔系统的动力学和控制。然而，即使对于简单的三节点网络，使用半张量积方法获得线性表示的过程也是复杂的，并且需要计算机程序的帮助。在这项工作中，我们表明，我们可以跳过半张量过程，并获得相同的线性表示与一个简单的映射。此外，我们的方法产生了大量的同构表示，提供了一个灵活的框架。重要的是，它可以简化对具有某种结构的未指定数量节点的网络的分析研究。
Boolean Networks can be converted to discrete linear dynamical systems on finite spaces by a semi-tensor-product approach. This approach has been used by many to study the dynamics and control of Boolean systems. However, the process of getting the linear representation using the semi-tensor-product method is complicated even for a simple three-node network and requires the help of a computer program. In this work, we show that we can skip the semi-tensor process and obtain the same linear representation with a straightforward mapping. Moreover, our approach produces a large number of isomorphic representations which provides a flexible framework. Importantly, it could simplify the analytical study of networks with unspecified number of nodes that have some structure.