2014
DOI: 10.1038/srep04819
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Transittability of complex networks and its applications to regulatory biomolecular networks

Abstract: We have often observed unexpected state transitions of complex systems. We are thus interested in how to steer a complex system from an unexpected state to a desired state. Here we introduce the concept of transittability of complex networks, and derive a new sufficient and necessary condition for state transittability which can be efficiently verified. We define the steering kernel as a minimal set of steering nodes to which control signals must directly be applied for transition between two specific states o… Show more

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Cited by 52 publications
(52 citation statements)
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“…The past few years have witnessed great progress toward understanding the linear controllability of complex networks12345678910111213141516171819202122232425262728. Given a linear and time-invariant dynamical system, the traditional approach to assessing its controllability is through the Kalman rank condition29.…”
mentioning
confidence: 99%
“…The past few years have witnessed great progress toward understanding the linear controllability of complex networks12345678910111213141516171819202122232425262728. Given a linear and time-invariant dynamical system, the traditional approach to assessing its controllability is through the Kalman rank condition29.…”
mentioning
confidence: 99%
“…Particularly for biological complex networks, structural control has been widely applied and discovered many interesting properties of biological systems. However, the existing control methods Gao et al 2014;Wu et al 2014b;Guo et al 2017;Guo et al 2018d) cannot be directly applied to the above constructed personalized transition state gene networks with a nonlinear and undirected dynamic because they are focused on linear dynamic directed networks. Therefore, an effective nonlinear network control strategy is required to characterize personalized transition state gene networks, and support selecting specific KCGs based on phenotypic changes.…”
Section: Identifying Personalized Kcgs Based On Phenotypic Transitionmentioning
confidence: 99%
“…To solve this problem, we introduced network control theory to model the control role of drugs (as controllers) on the transition state of gene co-expression networks from tumor state to normal state. Network control theory considers how to choose key network elements as drivers, the activation of which may drive the entire network towards a desired control objective or state based on proper control signals Gao et al 2014;Ruths and Ruths 2014;Wu et al 2014a;Guo et al 2017;Guo et al 2018d). Recent studies on network controllability have offered powerful mathematical frameworks to understand diverse biological systems at a network level (Jgt et al 2017;Guo et al 2018c;Li et al 2018).…”
Section: Introductionmentioning
confidence: 99%
“…When the number of component is too great to handle, researchers apply discrete model such as Boolean networks and write full truth table for individual interactions or establish Boolean equations for each component's input condition [4]. After modeling the system, they apply complicated control methods [5][6] [7] [8], which usually have non-polynomial computational cost.…”
Section: Introductionmentioning
confidence: 99%