{"id":"https://openalex.org/W2072346293","doi":"https://doi.org/10.1137/130910142","title":"A Graph Partitioning Approach to Predicting Patterns in Lateral Inhibition Systems","display_name":"A Graph Partitioning Approach to Predicting Patterns in Lateral Inhibition Systems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2072346293","doi":"https://doi.org/10.1137/130910142","mag":"2072346293","pmid":"https://pubmed.ncbi.nlm.nih.gov/29225552"},"language":"en","primary_location":{"id":"doi:10.1137/130910142","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130910142","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5722231","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006399909","display_name":"Ana Sofia Rufino Ferreira","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ana S. Rufino Ferreira","raw_affiliation_strings":["Department of Electrical Engineering & Computer Sciences, University of California, Berkeley, CA","Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering & Computer Sciences, University of California, Berkeley, CA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025743742","display_name":"Murat Arcak","orcid":"https://orcid.org/0000-0001-9060-4032"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Murat Arcak","raw_affiliation_strings":["Department of Electrical Engineering & Computer Sciences, University of California, Berkeley, CA","Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering & Computer Sciences, University of California, Berkeley, CA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006399909"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.7487,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.71852279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"4","first_page":"2012","last_page":"2031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.974399983882904,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5505542755126953},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5479684472084045},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5301511883735657},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5016248226165771},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47457507252693176},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4106457233428955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4073025584220886},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3573870360851288},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2635801434516907}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5505542755126953},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5479684472084045},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5301511883735657},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5016248226165771},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47457507252693176},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4106457233428955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4073025584220886},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3573870360851288},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2635801434516907},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/130910142","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130910142","pdf_url":null,"source":{"id":"https://openalex.org/S161160597","display_name":"SIAM Journal on Applied Dynamical Systems","issn_l":"1536-0040","issn":["1536-0040"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Dynamical Systems","raw_type":"journal-article"},{"id":"pmid:29225552","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29225552","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":"SIAM journal on applied dynamical systems","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:5722231","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5722231","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J Appl Dyn Syst","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:pubmedcentral.nih.gov:5722231","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5722231","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J Appl Dyn Syst","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W4193965","https://openalex.org/W247697463","https://openalex.org/W287703190","https://openalex.org/W653604939","https://openalex.org/W1487395029","https://openalex.org/W1500921805","https://openalex.org/W1524590822","https://openalex.org/W1588998206","https://openalex.org/W1589331344","https://openalex.org/W1851248039","https://openalex.org/W1963649370","https://openalex.org/W1967342602","https://openalex.org/W1973110798","https://openalex.org/W1973330277","https://openalex.org/W1980661496","https://openalex.org/W1983410640","https://openalex.org/W2013924502","https://openalex.org/W2026769037","https://openalex.org/W2042106612","https://openalex.org/W2042727098","https://openalex.org/W2043854809","https://openalex.org/W2045425785","https://openalex.org/W2045913084","https://openalex.org/W2046451925","https://openalex.org/W2055581502","https://openalex.org/W2055993677","https://openalex.org/W2063268016","https://openalex.org/W2064608742","https://openalex.org/W2072236536","https://openalex.org/W2086707454","https://openalex.org/W2089840306","https://openalex.org/W2090248486","https://openalex.org/W2093263026","https://openalex.org/W2098941494","https://openalex.org/W2102787760","https://openalex.org/W2120204400","https://openalex.org/W2142507929","https://openalex.org/W2147741970","https://openalex.org/W2157298752","https://openalex.org/W3098026677","https://openalex.org/W3105329945","https://openalex.org/W3216747129","https://openalex.org/W4212845867"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2015634066","https://openalex.org/W2018845581","https://openalex.org/W2069654053","https://openalex.org/W3046629113","https://openalex.org/W2048339306","https://openalex.org/W2028295504","https://openalex.org/W4301046126"],"abstract_inverted_index":{"We":[0,17,59],"analyze":[1],"spatial":[2],"patterns":[3,44,72],"on":[4,103,127],"networks":[5],"of":[6,30,49,71,98,112,131,149],"cells":[7,10,33,83],"where":[8,24,35,162],"adjacent":[9],"inhibit":[11],"each":[12,25,132],"other":[13],"through":[14],"contact":[15],"signaling.":[16,40],"represent":[18,38],"the":[19,28,50,69,82,85,89,95,104,113,128,135,147,159],"network":[20],"as":[21],"a":[22,78,109,121,150],"graph":[23,36,51,105],"vertex":[26],"represents":[27],"dynamics":[29],"identical":[31],"individual":[32],"and":[34,53],"edges":[37],"cell-to-cell":[39],"To":[41,93],"predict":[42],"steady-state":[43],"we":[45,101,119,139,153],"find":[46],"equitable":[47],"partitions":[48],"vertices":[52],"assign":[54],"them":[55],"into":[56],"disjoint":[57],"classes.":[58],"then":[60],"use":[61],"results":[62],"from":[63],"monotone":[64],"systems":[65],"theory":[66],"to":[67,107,116],"prove":[68],"existence":[70],"that":[73,80,125,155],"are":[74],"structured":[75],"in":[76,84,134,143],"such":[77],"way":[79],"all":[81],"same":[86,90],"class":[87],"have":[88],"final":[91],"fate.":[92],"study":[94],"stability":[96],"properties":[97,130],"these":[99],"patterns,":[100],"rely":[102],"partition":[106],"perform":[108],"block":[110],"decomposition":[111,152],"system.":[114,137],"Then,":[115],"guarantee":[117],"stability,":[118],"provide":[120],"small-gain":[122],"type":[123],"criterion":[124],"depends":[126],"input-output":[129],"cell":[133],"reduced":[136],"Finally,":[138],"discuss":[140],"pattern":[141],"formation":[142],"stochastic":[144],"models.":[145],"With":[146],"help":[148],"modal":[151],"show":[154],"noise":[156],"can":[157],"enhance":[158],"parameter":[160],"region":[161],"patterning":[163],"occurs.":[164]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}