论文标题

反应系统的可控性

Controllability of reaction systems

论文作者

Ivanov, Sergiu, Petre, Ion

论文摘要

控制动态系统是通过合适的输入选择任意更改其配置的能力。这是一个在控制理论方面的经过深入研究的概念,在医学,生物学,社会科学,工程学中的应用广泛。我们在本文中介绍了反应系统可控性的概念,即通过适当选择上下文序列之间任何两个状态之间过渡的能力。我们表明问题是pspace-hard。我们还基于反应系统引入了致癌信号的模型,并使用它来说明反应系统可控性的复杂性。

Controlling a dynamical system is the ability of changing its configuration arbitrarily through a suitable choice of inputs. It is a very well studied concept in control theory, with wide ranging applications in medicine, biology, social sciences, engineering. We introduce in this article the concept of controllability of reaction systems as the ability of transitioning between any two states through a suitable choice of context sequences. We show that the problem is PSPACE-hard. We also introduce a model of oncogenic signalling based on reaction systems and use it to illustrate the intricacies of the controllability of reaction systems.

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