{"id":"https://openalex.org/W2004073264","doi":"https://doi.org/10.1007/s00180-012-0324-2","title":"Attractors in Boolean networks: a tutorial","display_name":"Attractors in Boolean networks: a tutorial","publication_year":2012,"publication_date":"2012-04-08","ids":{"openalex":"https://openalex.org/W2004073264","doi":"https://doi.org/10.1007/s00180-012-0324-2","mag":"2004073264"},"language":"en","primary_location":{"id":"doi:10.1007/s00180-012-0324-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00180-012-0324-2","pdf_url":null,"source":{"id":"https://openalex.org/S8500805","display_name":"Computational Statistics","issn_l":"0943-4062","issn":["0943-4062","1613-9658"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048466051","display_name":"Martin Hopfensitz","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Hopfensitz","raw_affiliation_strings":["Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, 89069, Ulm, Germany","Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, Ulm, Germany 89069#TAB#"],"affiliations":[{"raw_affiliation_string":"Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, 89069, Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]},{"raw_affiliation_string":"Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, Ulm, Germany 89069#TAB#","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033625762","display_name":"Christoph M\u00fcssel","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph M\u00fcssel","raw_affiliation_strings":["Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, 89069, Ulm, Germany","Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, Ulm, Germany 89069#TAB#"],"affiliations":[{"raw_affiliation_string":"Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, 89069, Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]},{"raw_affiliation_string":"Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, Ulm, Germany 89069#TAB#","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003152928","display_name":"Markus Maucher","orcid":null},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Markus Maucher","raw_affiliation_strings":["Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, 89069, Ulm, Germany","Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, Ulm, Germany 89069#TAB#"],"affiliations":[{"raw_affiliation_string":"Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, 89069, Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]},{"raw_affiliation_string":"Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, Ulm, Germany 89069#TAB#","institution_ids":["https://openalex.org/I196349391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023316486","display_name":"Hans A. Kestler","orcid":"https://orcid.org/0000-0002-4759-5254"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans A. Kestler","raw_affiliation_strings":["Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, 89069, Ulm, Germany","Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, Ulm, Germany 89069#TAB#"],"affiliations":[{"raw_affiliation_string":"Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, 89069, Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]},{"raw_affiliation_string":"Research Group Bioinformatics and Systems Biology, Institute of Neural Information Processing, University of Ulm, Ulm, Germany 89069#TAB#","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048466051"],"corresponding_institution_ids":["https://openalex.org/I196349391"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":1.2065,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.77338825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"28","issue":"1","first_page":"19","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10932","display_name":"Microbial Metabolic Engineering and Bioproduction","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.8324732780456543},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.7170155644416809},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6545439958572388},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6296985149383545},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.6057418584823608},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5993316769599915},{"id":"https://openalex.org/keywords/gene-regulatory-network","display_name":"Gene regulatory network","score":0.547304093837738},{"id":"https://openalex.org/keywords/standard-boolean-model","display_name":"Standard Boolean model","score":0.5400939583778381},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5359730124473572},{"id":"https://openalex.org/keywords/biological-network","display_name":"Biological network","score":0.5237836241722107},{"id":"https://openalex.org/keywords/and-inverter-graph","display_name":"And-inverter graph","score":0.504653811454773},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4859124720096588},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.47737476229667664},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4691582918167114},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4648887515068054},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.45714759826660156},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.4512360692024231},{"id":"https://openalex.org/keywords/boolean-model","display_name":"Boolean model","score":0.4298762083053589},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3092880845069885},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25467997789382935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24020010232925415},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23644289374351501},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.16514912247657776},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.12213501334190369},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11439737677574158},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.07332906126976013}],"concepts":[{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.8324732780456543},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.7170155644416809},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6545439958572388},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6296985149383545},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.6057418584823608},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5993316769599915},{"id":"https://openalex.org/C67339327","wikidata":"https://www.wikidata.org/wiki/Q1502576","display_name":"Gene regulatory network","level":4,"score":0.547304093837738},{"id":"https://openalex.org/C68481662","wikidata":"https://www.wikidata.org/wiki/Q176197","display_name":"Standard Boolean model","level":5,"score":0.5400939583778381},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5359730124473572},{"id":"https://openalex.org/C28225019","wikidata":"https://www.wikidata.org/wiki/Q4915005","display_name":"Biological network","level":2,"score":0.5237836241722107},{"id":"https://openalex.org/C196836630","wikidata":"https://www.wikidata.org/wiki/Q4753279","display_name":"And-inverter graph","level":4,"score":0.504653811454773},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4859124720096588},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.47737476229667664},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4691582918167114},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4648887515068054},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.45714759826660156},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.4512360692024231},{"id":"https://openalex.org/C67499762","wikidata":"https://www.wikidata.org/wiki/Q4943358","display_name":"Boolean model","level":2,"score":0.4298762083053589},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3092880845069885},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25467997789382935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24020010232925415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23644289374351501},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.16514912247657776},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.12213501334190369},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11439737677574158},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.07332906126976013},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C150194340","wikidata":"https://www.wikidata.org/wiki/Q26972","display_name":"Gene expression","level":3,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00180-012-0324-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00180-012-0324-2","pdf_url":null,"source":{"id":"https://openalex.org/S8500805","display_name":"Computational Statistics","issn_l":"0943-4062","issn":["0943-4062","1613-9658"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320336772","display_name":"International Graduate School in Molecular Medicine Ulm","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W569716420","https://openalex.org/W1481919380","https://openalex.org/W1600339875","https://openalex.org/W1677575702","https://openalex.org/W1756428283","https://openalex.org/W1970441315","https://openalex.org/W1971224531","https://openalex.org/W1985351346","https://openalex.org/W1989284002","https://openalex.org/W2018659462","https://openalex.org/W2027048638","https://openalex.org/W2031369606","https://openalex.org/W2042459594","https://openalex.org/W2049047355","https://openalex.org/W2053961182","https://openalex.org/W2058221907","https://openalex.org/W2095433609","https://openalex.org/W2097263107","https://openalex.org/W2103454055","https://openalex.org/W2108020239","https://openalex.org/W2112540303","https://openalex.org/W2114518254","https://openalex.org/W2122902176","https://openalex.org/W2132935366","https://openalex.org/W2134978629","https://openalex.org/W2140094325","https://openalex.org/W2142400903","https://openalex.org/W2152563826","https://openalex.org/W2160533336","https://openalex.org/W2240341673","https://openalex.org/W2342981961","https://openalex.org/W2944782266","https://openalex.org/W4388252848"],"related_works":["https://openalex.org/W2770822254","https://openalex.org/W4383066791","https://openalex.org/W2108419456","https://openalex.org/W4322827077","https://openalex.org/W4243221174","https://openalex.org/W67752311","https://openalex.org/W2134315848","https://openalex.org/W2131164334","https://openalex.org/W2995617542","https://openalex.org/W4231391991"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
