{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,7]],"date-time":"2026-08-07T15:33:27Z","timestamp":1786116807960,"version":"build-2736575974"},"reference-count":48,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100004607","name":"Guangxi Natural Science Foundation","doi-asserted-by":"publisher","award":["2025GXNSFBA069292"],"award-info":[{"award-number":["2025GXNSFBA069292"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Guangxi Natural Science Foundation","doi-asserted-by":"publisher","award":["2022GXNSFFA035028"],"award-info":[{"award-number":["2022GXNSFFA035028"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.cnsns.2026.110513","type":"journal-article","created":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T23:29:37Z","timestamp":1783034977000},"page":"110513","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P1","title":["A minimal driver set-based algorithm for targeted control of random Boolean networks"],"prefix":"10.1016","volume":"163","author":[{"given":"Junxiu","family":"Liu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lingxi","family":"Ma","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3498-5915","authenticated-orcid":false,"given":"Qiang","family":"Fu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuling","family":"Luo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sheng","family":"Qin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xue","family":"Ouyang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"4","key":"10.1016\/j.cnsns.2026.110513_bib0001","doi-asserted-by":"crossref","first-page":"692","DOI":"10.1038\/s12276-023-00969-3","article-title":"Critical transition and reversion of tumorigenesis","volume":"55","author":"Shin","year":"2023","journal-title":"Exp Mol Med"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110513_bib0002","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s00180-012-0324-2","article-title":"Attractors in Boolean networks: a tutorial","volume":"28","author":"Hopfensitz","year":"2013","journal-title":"Comput Stat"},{"issue":"5","key":"10.1016\/j.cnsns.2026.110513_bib0003","first-page":"1","article-title":"Stable and unstable attractors in Boolean networks","volume":"72","author":"Klemm","year":"2005","journal-title":"Phys Rev Stat Nonlinear Soft Matter Phys"},{"issue":"12","key":"10.1016\/j.cnsns.2026.110513_bib0004","first-page":"137","article-title":"From cell states to cell fates: control of cell state transitions","volume":"2745","author":"Masa","year":"2024","journal-title":"Methods Mol Biol"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110513_bib0005","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1038\/s42254-023-00566-3","article-title":"Controlling complex networks with complex nodes","volume":"5","author":"D\u2019Souza","year":"2023","journal-title":"Nat Rev Phys"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110513_bib0006","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1103\/RevModPhys.88.035006","article-title":"Control principles of complex systems","volume":"88","author":"Liu","year":"2016","journal-title":"Rev Mod Phys"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110513_bib0007","doi-asserted-by":"crossref","DOI":"10.1038\/s41598-025-97684-y","article-title":"Global stabilization of Boolean networks with applications to biomolecular network control","volume":"15","author":"Rafimanzelat","year":"2025","journal-title":"Sci Rep"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110513_bib0008","doi-asserted-by":"crossref","first-page":"670","DOI":"10.1016\/j.jtbi.2006.09.023","article-title":"Control of Boolean networks: hardness results and algorithms for tree structured networks","volume":"244","author":"Akutsu","year":"2007","journal-title":"J Theor Biol"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110513_bib0009","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevResearch.5.033009","article-title":"Structure-based approach to identify driver nodes in ensembles of biologically inspired Boolean networks","volume":"5","author":"Newby","year":"2023","journal-title":"Phys Rev Res"},{"issue":"4\u20135","key":"10.1016\/j.cnsns.2026.110513_bib0010","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.physrep.2005.10.009","article-title":"Complex networks: structure and dynamics","volume":"424","author":"Boccaletti","year":"2006","journal-title":"Phys Rep"},{"issue":"8","key":"10.1016\/j.cnsns.2026.110513_bib0011","doi-asserted-by":"crossref","first-page":"949","DOI":"10.1016\/j.neucom.2022.05.095","article-title":"Finding complete minimum driver node set with guaranteed control capacity","volume":"500","author":"Jia","year":"2022","journal-title":"Neurocomputing"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110513_bib0012","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1109\/TCBBIO.2024.3517636","article-title":"Enhancing the robustness of random Boolean networks by epigenetic regulation","volume":"22","author":"Liu","year":"2025","journal-title":"IEEE Trans Comput Biol Bioinform"},{"issue":"6","key":"10.1016\/j.cnsns.2026.110513_bib0013","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1038\/s41592-024-02266-x","article-title":"Spatial transition tensor of single cells","volume":"21","author":"Zhou","year":"2024","journal-title":"Nat Methods"},{"issue":"6","key":"10.1016\/j.cnsns.2026.110513_bib0014","doi-asserted-by":"crossref","first-page":"1367","DOI":"10.1002\/stem.1627","article-title":"Concise review: A population shift view of cellular reprogramming","volume":"32","author":"Del Sol","year":"2014","journal-title":"Stem Cells (1981)"},{"key":"10.1016\/j.cnsns.2026.110513_bib0015","series-title":"Proceedings of the 2022 IEEE 61st conference on decision and control","first-page":"4236","article-title":"Target control of Boolean networks with permanent edgetic perturbations","author":"Zeyen","year":"2022"},{"issue":"14","key":"10.1016\/j.cnsns.2026.110513_bib0016","doi-asserted-by":"crossref","first-page":"i558","DOI":"10.1093\/bioinformatics\/btz371","article-title":"Controlling large Boolean networks with single-step perturbations","volume":"35","author":"Baudin","year":"2019","journal-title":"Bioinformatics"},{"issue":"6","key":"10.1016\/j.cnsns.2026.110513_bib0017","doi-asserted-by":"crossref","first-page":"3338","DOI":"10.1109\/TCYB.2019.2930734","article-title":"Pinning controllability for a Boolean network with arbitrary disturbance inputs","volume":"51","author":"Li","year":"2021","journal-title":"IEEE Trans Cybern"},{"issue":"2223","key":"10.1016\/j.cnsns.2026.110513_bib0018","first-page":"1","article-title":"Discovery of a kernel for controlling biomolecular regulatory networks","volume":"3","author":"Kim","year":"2013","journal-title":"Sci Rep"},{"issue":"454","key":"10.1016\/j.cnsns.2026.110513_bib0019","first-page":"1","article-title":"Target control in logical models using the domain of influence of nodes","volume":"9","author":"Yang","year":"2018","journal-title":"Front Physiol"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110513_bib0020","doi-asserted-by":"crossref","DOI":"10.1063\/1.4999950","article-title":"Attractor controllability of Boolean networks by flipping a subset of their nodes","volume":"28","author":"Rafimanzelat","year":"2018","journal-title":"Chaos"},{"issue":"2274","key":"10.1016\/j.cnsns.2026.110513_bib0021","first-page":"1","article-title":"Finding influential nodes for integration in brain networks using optimal percolation theory","volume":"9","author":"Ferraro","year":"2018","journal-title":"Nat Commun"},{"issue":"9","key":"10.1016\/j.cnsns.2026.110513_bib0022","doi-asserted-by":"crossref","first-page":"5461","DOI":"10.1109\/TAC.2022.3226701","article-title":"Strong structural controllability of Boolean networks: polynomial-time criteria, minimal node control, and distributed pinning strategies","volume":"68","author":"Zhu","year":"2023","journal-title":"IEEE Trans Autom Control"},{"issue":"9","key":"10.1016\/j.cnsns.2026.110513_bib0023","doi-asserted-by":"crossref","first-page":"5711","DOI":"10.1109\/TAC.2024.3351553","article-title":"A framework of pinning control for non-periodical stable behaviors of large-scale asynchronous Boolean networks","volume":"69","author":"Zhong","year":"2024","journal-title":"IEEE Trans Autom Control"},{"issue":"C","key":"10.1016\/j.cnsns.2026.110513_bib0024","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.future.2019.12.038","article-title":"Efficient parallel algorithm for detecting influential nodes in large biological networks on the graphics processing unit","volume":"106","author":"Xiao","year":"2020","journal-title":"Future Gener Comput Syst"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110513_bib0025","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41598-021-88295-4","article-title":"Uncovering and classifying the role of driven nodes in control of complex networks","volume":"11","author":"Shinzawa","year":"2021","journal-title":"Sci Rep"},{"issue":"7346","key":"10.1016\/j.cnsns.2026.110513_bib0026","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1038\/nature10011","article-title":"Controllability of complex networks","volume":"473","author":"Liu","year":"2011","journal-title":"Nature"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110513_bib0027","doi-asserted-by":"crossref","first-page":"1217","DOI":"10.1109\/TCBB.2018.2797271","article-title":"Structural target controllability of linear networks","volume":"15","author":"Czeizler","year":"2018","journal-title":"IEEE Trans Comput Biol Bioinform"},{"key":"10.1016\/j.cnsns.2026.110513_bib0028","series-title":"Proceedings of the 11th ACM international conference on bioinformatics","first-page":"1","article-title":"A dynamics-based approach for the target control of Boolean networks","author":"Su","year":"2020"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110513_bib0029","doi-asserted-by":"crossref","first-page":"1308","DOI":"10.1038\/s41467-019-08903-w","article-title":"A comprehensive, mechanistically detailed, and executable model of the cell division cycle in Saccharomyces cerevisiae","volume":"10","author":"M\u00fcnzner","year":"2019","journal-title":"Nat Commun"},{"issue":"5215","key":"10.1016\/j.cnsns.2026.110513_bib0030","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1038\/224177a0","article-title":"Homeostasis and differentiation in random genetic control networks","volume":"224","author":"Kauffman","year":"1969","journal-title":"Nature"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110513_bib0031","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1109\/TCYB.2024.3473945","article-title":"Attractor-Transition control of complex biological networks: a constant control approach","volume":"55","author":"Yang","year":"2025","journal-title":"IEEE Trans Cybern"},{"key":"10.1016\/j.cnsns.2026.110513_bib0032","series-title":"Proceedings of the genetic and evolutionary computation conference companion","first-page":"132","article-title":"De-redundancy in a random boolean network using knockout","author":"Liu","year":"2022"},{"issue":"21","key":"10.1016\/j.cnsns.2026.110513_bib0033","doi-asserted-by":"crossref","first-page":"1685","DOI":"10.1016\/j.physd.2011.06.005","article-title":"Stochastic climate dynamics: Random attractors and time-dependent invariant measures","volume":"240","author":"Chekroun","year":"2011","journal-title":"Phys D Nonlinear Phenom"},{"issue":"2","key":"10.1016\/j.cnsns.2026.110513_bib0034","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1158\/0008-5472.CAN-21-0621","article-title":"Network analysis identifies regulators of basal-like breast cancer reprogramming and endocrine therapy vulnerability","volume":"82","author":"Choi","year":"2022","journal-title":"Cancer Res"},{"issue":"14","key":"10.1016\/j.cnsns.2026.110513_bib0035","doi-asserted-by":"crossref","first-page":"817","DOI":"10.1016\/S0950-5849(01)00188-4","article-title":"An overview of evolutionary algorithms: practical issues and common pitfalls","volume":"43","author":"Whitley","year":"2001","journal-title":"Inf Softw Technol"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110513_bib0036","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41598-021-84684-x","article-title":"Identification of nodes influence based on global structure model in complex networks","volume":"11","author":"Ullah","year":"2021","journal-title":"Sci Rep"},{"issue":"11","key":"10.1016\/j.cnsns.2026.110513_bib0037","doi-asserted-by":"crossref","first-page":"888","DOI":"10.1038\/nphys1746","article-title":"Identification of influential spreaders in complex networks","volume":"6","author":"Kitsak","year":"2010","journal-title":"Nat Phys"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110513_bib0038","article-title":"A generalized gravity model for influential spreaders identification in complex networks","volume":"143","author":"Li","year":"2021","journal-title":"Chaos Solitons Fractals"},{"issue":"2","key":"10.1016\/j.cnsns.2026.110513_bib0039","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0001672","article-title":"Boolean network model predicts cell cycle sequence of fission yeast","volume":"3","author":"Davidich","year":"2008","journal-title":"PLoS One"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110513_bib0040","article-title":"Characterizing behavioural differentiation in gene regulatory networks with representation graphs","volume":"6","author":"Viksna","year":"2024","journal-title":"Nucleic Acids Res Genom Bioinform"},{"key":"10.1016\/j.cnsns.2026.110513_bib0041","doi-asserted-by":"crossref","unstructured":"F. Li, T. Long, Y. Lu, Q. Ouyang, and C. Tang, \u201cThe yeast cell-cycle network is robustly designed,\u201d Proceedings of the national academy of sciences. U.S.A., vol. 101, no. 14, pp. 4781-4786, 2004.","DOI":"10.1073\/pnas.0305937101"},{"issue":"11","key":"10.1016\/j.cnsns.2026.110513_bib0042","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0003626","article-title":"Floral morphogenesis: Stochastic explorations of a gene network epigenetic landscape","volume":"3","author":"\u00c1lvarez-Buylla","year":"2008","journal-title":"PLoS One"},{"issue":"13","key":"10.1016\/j.cnsns.2026.110513_bib0043","first-page":"1","article-title":"A method for the generation of standardized qualitative dynamical systems of regulatory networks","volume":"3","author":"Mendoza","year":"2006","journal-title":"Theor Biol Med Model"},{"issue":"44","key":"10.1016\/j.cnsns.2026.110513_bib0044","first-page":"1","article-title":"Boolean modeling reveals the necessity of transcriptional regulation for bistability in PC12 Cell differentiation","volume":"7","author":"Offermann","year":"2016","journal-title":"Front Genet"},{"issue":"56","key":"10.1016\/j.cnsns.2026.110513_bib0045","first-page":"1","article-title":"A methodology for the structural and functional analysis of signaling and regulatory networks","volume":"7","author":"Klamt","year":"2006","journal-title":"BMC Bioinformatics"},{"issue":"9","key":"10.1016\/j.cnsns.2026.110513_bib0046","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pcbi.1000912","article-title":"Diversity and plasticity of Th cell types predicted from regulatory network modelling","volume":"6","author":"Naldi","year":"2010","journal-title":"PLoS Comput Biol"},{"issue":"7","key":"10.1016\/j.cnsns.2026.110513_bib0047","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.1093\/bioinformatics\/btu787","article-title":"A logical model of HIV-1 interactions with the T-cell activation signalling pathway","volume":"31","author":"Oyeyemi","year":"2015","journal-title":"Bioinformatics"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110513_bib0048","doi-asserted-by":"crossref","first-page":"1794","DOI":"10.1109\/TCBB.2020.3043785","article-title":"On attractor detection and optimal control of deterministic generalized asynchronous random Boolean networks","volume":"19","author":"Van Giang","year":"2022","journal-title":"IEEE Trans Comput Biol Bioinform"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426008671?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426008671?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,8,6]],"date-time":"2026-08-06T12:22:20Z","timestamp":1786018940000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426008671"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":48,"alternative-id":["S1007570426008671"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110513","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A minimal driver set-based algorithm for targeted control of random Boolean networks","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110513","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"110513"}}