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中文摘要：
已有的理论分析表明，有序函数对网络的运行及其动态行为具有重要的影响．Post类函数是目前发现的数量最大的一种有序函数，其缺点是它仅反映了基因之间的正调控机制．本文在Post类函数的基础上，将其扩展为一种同时具有正负调控机制的函数类．仿真结果表明：扩展的Post类函数在维持网络的有序性及长程相关性方面，和原有的Post类函数以及渠化函数类似．同时与已有的Post类和渠化函数相比，新扩展的Post类函数量最多．从进化的角度，新扩展的函数更有可能成为自然进化选择的调控方式．通过对八种真实生物系统布尔网络模型函数分布的研究，也部分的支持这一结论．
英文摘要：
Theoretical analysis reveals that ordered functions play an important role in the running and dynamical be-havior of networks.Post function class has been known as the maximal ordered function.However,it only describes the posi-tive regulatory mechanism appeared in genetic regulatory networks.In this paper,we extend the Post function class so that it contains both the positive and negative regulatory mechanism.Simulation results show that the extended Post function class can present similar dynamical characters as the original Post class and Canalizing function class.It has the ability to keep or-dered behaviors and can emerge the long-range correlated dynamics.From the point of view of natural evolution,we con-clude that such abundant ordered functions are more possible to be selected as the interactions among genes.Finally,the dis-tribution of function classes on eight real systems also partially supports our conclusion.
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