title: Model construction of Boolean network via observed data.
abstract: In this paper, a set of data is assumed to be obtained from an experiment that satisfies a Boolean dynamic process. For instance, the dataset can be obtained from the diagnosis of describing the diffusion process of cancer cells. With the observed datasets, several methods to construct the dynamic models for such Boolean networks are proposed. Instead of building the logical dynamics of a Boolean network directly, its algebraic form is constructed first and then is converted back to the logical form. Firstly, a general construction technique is proposed. To reduce the size of required data, the model with the known network graph is considered. Motivated by this, the least in-degree model is constructed that can reduce the size of required data set tremendously. Next, the uniform network is investigated. The number of required data points for identification of such networks is independent of the size of the network. Finally, some principles are proposed for dealing with data with errors.
authors.affiliation: Key Laboratory of Systems and Control, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100190, China. dcheng@iss.ac.cn
authors.forename: Daizhan
authors.initials: D
authors.lastname: Cheng
authors.forename: Hongsheng
authors.initials: H
authors.lastname: Qi
authors.forename: Zhiqiang
authors.initials: Z
authors.lastname: Li
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D015972:Gene Expression Regulation, Neoplastic / Q000502:physiology; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D009369:Neoplasms / Q000235:genetics / Q000378:metabolism; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics