In biological systems, gene expression is an important subject. In order to clarify the specific process of gene expression, mathematical tools are needed to simulate the process. The Boolean network (BN) is a good mathematical tool. In this paper, we study a Boolean network with intermittent perturbations. This is of great significance for studying genetic mutations in bioengineering. The expression of genes in the internal system of a living being is a very complicated process, and it is clear that the process is trans-ageal for humans. Through the intermittent control and pulse control of the BN, we can obtain the trajectory of gene expression better and faster, which will provide a very important theoretical basis for our next research.

中文翻译：

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具有间歇性扰动的布尔网络的可控性

在生物系统中，基因表达是一个重要的课题。为了阐明基因表达的具体过程，需要数学工具来模拟这个过程。布尔网络（BN）是一个很好的数学工具。在本文中，我们研究了一个具有间歇性扰动的布尔网络。这对于研究生物工程中的基因突变具有重要意义。基因在生物内部系统中的表达是一个非常复杂的过程，显然这个过程对人类来说是跨年龄的。通过BN的间歇控制和脉冲控制，我们可以更好更快地获得基因表达的轨迹，这将为我们下一步的研究提供非常重要的理论依据。