{"id":"https://openalex.org/W2142685737","doi":"https://doi.org/10.1371/journal.pcbi.1000256","title":"Shape, Size, and Robustness: Feasible Regions in the Parameter Space of Biochemical Networks","display_name":"Shape, Size, and Robustness: Feasible Regions in the Parameter Space of Biochemical Networks","publication_year":2009,"publication_date":"2009-01-02","ids":{"openalex":"https://openalex.org/W2142685737","doi":"https://doi.org/10.1371/journal.pcbi.1000256","mag":"2142685737","pmid":"https://pubmed.ncbi.nlm.nih.gov/19119410"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1000256","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1000256","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1000256&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS Computational Biology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1000256&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044793261","display_name":"Adel Dayarian","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adel Dayarian","raw_affiliation_strings":["Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey, United States of America"],"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey, United States of America","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024047053","display_name":"Madalena Chaves","orcid":"https://orcid.org/0000-0003-0647-9254"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Madalena Chaves","raw_affiliation_strings":["Project COMORE, INRIA, Sophia-Antipolis, France"],"affiliations":[{"raw_affiliation_string":"Project COMORE, INRIA, Sophia-Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068753451","display_name":"Eduardo D. Sontag","orcid":"https://orcid.org/0000-0001-8020-5783"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eduardo D. Sontag","raw_affiliation_strings":["Department of Mathematics, Rutgers University, Piscataway, New Jersey, United States of America"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, Piscataway, New Jersey, United States of America","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066552315","display_name":"Anirvan M. Sengupta","orcid":"https://orcid.org/0000-0001-8485-0018"},"institutions":[{"id":"https://openalex.org/I4210098931","display_name":"Quantitative BioSciences","ror":"https://ror.org/010brsj79","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210098931"]},{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anirvan M. Sengupta","raw_affiliation_strings":["BioMaPS Institute for Quantitative Biology, Rutgers University, Piscataway, New Jersey, United States of America","Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey, United States of America"],"affiliations":[{"raw_affiliation_string":"BioMaPS Institute for Quantitative Biology, Rutgers University, Piscataway, New Jersey, United States of America","institution_ids":["https://openalex.org/I4210098931","https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey, United States of America","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5066552315"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I4210098931"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":3.9093,"has_fulltext":true,"cited_by_count":82,"citation_normalized_percentile":{"value":0.94354901,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"5","issue":"1","first_page":"e1000256","last_page":"e1000256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9968000054359436,"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/T10885","display_name":"Gene expression and cancer classification","score":0.9861999750137329,"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/robustness","display_name":"Robustness (evolution)","score":0.898905873298645},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5729066729545593},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.5706453919410706},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.5386554598808289},{"id":"https://openalex.org/keywords/biological-network","display_name":"Biological network","score":0.4795805513858795},{"id":"https://openalex.org/keywords/gene-regulatory-network","display_name":"Gene regulatory network","score":0.470564603805542},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4426884949207306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3698681592941284},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23892474174499512},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.19396966695785522},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.15481099486351013},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11904579401016235},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.09861162304878235},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08919849991798401}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.898905873298645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5729066729545593},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.5706453919410706},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5386554598808289},{"id":"https://openalex.org/C28225019","wikidata":"https://www.wikidata.org/wiki/Q4915005","display_name":"Biological network","level":2,"score":0.4795805513858795},{"id":"https://openalex.org/C67339327","wikidata":"https://www.wikidata.org/wiki/Q1502576","display_name":"Gene regulatory network","level":4,"score":0.470564603805542},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4426884949207306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3698681592941284},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23892474174499512},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.19396966695785522},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.15481099486351013},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11904579401016235},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.09861162304878235},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08919849991798401},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005240","descriptor_name":"Feasibility Studies","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005240","descriptor_name":"Feasibility Studies","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005240","descriptor_name":"Feasibility Studies","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005786","descriptor_name":"Gene Expression Regulation","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D005786","descriptor_name":"Gene Expression Regulation","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D005786","descriptor_name":"Gene Expression Regulation","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015398","descriptor_name":"Signal Transduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015398","descriptor_name":"Signal Transduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D015398","descriptor_name":"Signal Transduction","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D020543","descriptor_name":"Proteome","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D020543","descriptor_name":"Proteome","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D020543","descriptor_name":"Proteome","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D055442","descriptor_name":"Metabolome","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D055442","descriptor_name":"Metabolome","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D055442","descriptor_name":"Metabolome","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1371/journal.pcbi.1000256","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1000256","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1000256&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS Computational Biology","raw_type":"journal-article"},{"id":"pmid:19119410","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19119410","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS computational biology","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.142.9228","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.9228","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.rutgers.edu/~sontag/FTP_DIR/dayarian_chaves_sontag_sengupta_plos09.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:plo:pcbi00:1000256","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1000256","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:f00bdf9d0d4b435e9244b7db41746772","is_oa":true,"landing_page_url":"https://doaj.org/article/f00bdf9d0d4b435e9244b7db41746772","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Computational Biology, Vol 5, Iss 1, p e1000256 (2009)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:2599888","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/2599888","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PLoS Comput Biol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1371/journal.pcbi.1000256","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1000256","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1000256&type=printable","source":{"id":"https://openalex.org/S86033158","display_name":"PLoS Computational Biology","issn_l":"1553-734X","issn":["1553-734X","1553-7358"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315706","host_organization_name":"Public Library of Science","host_organization_lineage":["https://openalex.org/P4310315706"],"host_organization_lineage_names":["Public Library of Science"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PLoS Computational Biology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7945387289","display_name":"Monotone Input/Output Systems in Mathematical Biology","funder_award_id":"0614371","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2142685737.pdf","grobid_xml":"https://content.openalex.org/works/W2142685737.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1484198052","https://openalex.org/W1623155147","https://openalex.org/W1637936532","https://openalex.org/W1869366780","https://openalex.org/W1943532060","https://openalex.org/W1965612527","https://openalex.org/W1973110798","https://openalex.org/W1987366641","https://openalex.org/W2000163865","https://openalex.org/W2001141328","https://openalex.org/W2018011810","https://openalex.org/W2039331486","https://openalex.org/W2043276874","https://openalex.org/W2053186076","https://openalex.org/W2067705970","https://openalex.org/W2096518847","https://openalex.org/W2100790213","https://openalex.org/W2105437542","https://openalex.org/W2108210068","https://openalex.org/W2114518254","https://openalex.org/W2119138198","https://openalex.org/W2138058427","https://openalex.org/W2153478681","https://openalex.org/W2153530880","https://openalex.org/W2160145365","https://openalex.org/W2161304688","https://openalex.org/W2168703574","https://openalex.org/W3217399827"],"related_works":["https://openalex.org/W1422717320","https://openalex.org/W2402814600","https://openalex.org/W2794960257","https://openalex.org/W2330768201","https://openalex.org/W2108120899","https://openalex.org/W2349909726","https://openalex.org/W4319977964","https://openalex.org/W2128085946","https://openalex.org/W2063978705","https://openalex.org/W2156091616"],"abstract_inverted_index":{"The":[0,93],"concept":[1],"of":[2,4,17,25,54,66,95,119,121,134,151,170],"robustness":[3,18,62,152],"regulatory":[5],"networks":[6],"has":[7,19,57],"received":[8],"much":[9],"attention":[10],"in":[11,32,36,48,98],"the":[12,23,26,30,33,38,52,61,64,79,84,99,106,116,142],"last":[13],"decade.":[14],"One":[15],"measure":[16,150],"been":[20],"associated":[21],"with":[22,111],"volume":[24],"feasible":[27,80,107],"region,":[28],"namely,":[29],"region":[31,56,108],"parameter":[34,100,154],"space":[35,101],"which":[37,74],"system":[39],"is":[40,138,163],"functional.":[41],"In":[42,125],"this":[43,55,122],"paper,":[44],"we":[45,75,127],"show":[46],"that,":[47,129],"addition":[49],"to":[50,89,153,167],"volume,":[51],"geometry":[53],"important":[58],"consequences":[59],"for":[60],"and":[63,102],"fragility":[65],"a":[67,112,147,157],"network.":[68],"We":[69,82],"develop":[70],"an":[71,164],"approximation":[72],"within":[73],"could":[76],"algebraically":[77],"specify":[78],"region.":[81],"analyze":[83],"segment":[85],"polarity":[86],"gene":[87],"network":[88,123],"illustrate":[90],"our":[91,161],"approach.":[92],"study":[94],"random":[96],"walks":[97],"how":[103],"they":[104],"exit":[105],"provide":[109],"us":[110],"rich":[113],"perspective":[114],"on":[115],"different":[117],"modes":[118],"failure":[120],"model.":[124],"particular,":[126],"found":[128],"between":[130],"two":[131],"alternative":[132,166],"ways":[133],"activating":[135],"Wingless,":[136],"one":[137],"more":[139,148],"robust":[140],"than":[141],"other.":[143],"Our":[144],"method":[145],"provides":[146],"complete":[149],"variation.":[155],"As":[156],"general":[158],"modeling":[159],"strategy,":[160],"approach":[162],"interesting":[165],"Boolean":[168],"representation":[169],"biochemical":[171],"networks.":[172]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}