2004
DOI: 10.1093/bioinformatics/bth201
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Network-based regulatory pathways analysis

Abstract: We have established Kirchhoff's first law in genetic networks and introduced a concept of gene flows using matrix decomposition method. The Kirchhoff's first law provides the theoretical foundations for mathematical framework for development defining network-based regulatory pathways, and applying convex analysis in decomposing the genetic networks into regulatory extreme pathways. We presented a new approach to characterize the extreme pathway and developed a new algorithm for identifying a set of extreme pat… Show more

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Cited by 20 publications
(13 citation statements)
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“…For this purpose, we consider ten gene regulatory networks as shown in Fig. 1 [13], Fig. 2 [23], Fig.…”
Section: Resultsmentioning
confidence: 99%
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“…For this purpose, we consider ten gene regulatory networks as shown in Fig. 1 [13], Fig. 2 [23], Fig.…”
Section: Resultsmentioning
confidence: 99%
“…S6 [28]. The results have been compared with that of the existing extreme pathway analysis [12], [13]. Biological validation of the results is also included.…”
Section: Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…,Özögür et al (2005),Xiong et al (2004). If there are N reactions, if v i (E) is the rate of the ith gene in the reaction network (i =…”
mentioning
confidence: 99%