{"id":"https://openalex.org/W2046306171","doi":"https://doi.org/10.1371/journal.pcbi.1001137","title":"A Toolbox Model of Evolution of Metabolic Pathways on Networks of Arbitrary Topology","display_name":"A Toolbox Model of Evolution of Metabolic Pathways on Networks of Arbitrary Topology","publication_year":2011,"publication_date":"2011-05-19","ids":{"openalex":"https://openalex.org/W2046306171","doi":"https://doi.org/10.1371/journal.pcbi.1001137","mag":"2046306171","pmid":"https://pubmed.ncbi.nlm.nih.gov/21625566"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1001137","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1001137","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1001137&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.1001137&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050586219","display_name":"Tin Yau Pang","orcid":"https://orcid.org/0000-0003-4738-4032"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]},{"id":"https://openalex.org/I200870766","display_name":"Brookhaven National Laboratory","ror":"https://ror.org/02ex6cf31","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I200870766","https://openalex.org/I39565521","https://openalex.org/I4210142672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tin Yau Pang","raw_affiliation_strings":["Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York, United States of America","Department of Condensed Matter Physics and#N#                    Materials Science, Brookhaven National Laboratory, Upton, New York, United#N#                    States of America","Department of Physics and Astronomy, Stony#N#                    Brook University, Stony Brook, New York, United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York, United States of America","institution_ids":[]},{"raw_affiliation_string":"Department of Condensed Matter Physics and#N#                    Materials Science, Brookhaven National Laboratory, Upton, New York, United#N#                    States of America","institution_ids":["https://openalex.org/I200870766"]},{"raw_affiliation_string":"Department of Physics and Astronomy, Stony#N#                    Brook University, Stony Brook, New York, United States of America","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017591427","display_name":"Sergei Maslov","orcid":"https://orcid.org/0000-0002-3701-492X"},"institutions":[{"id":"https://openalex.org/I200870766","display_name":"Brookhaven National Laboratory","ror":"https://ror.org/02ex6cf31","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I200870766","https://openalex.org/I39565521","https://openalex.org/I4210142672"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergei Maslov","raw_affiliation_strings":["Department of Condensed Matter Physics and","Materials Science, Brookhaven National Laboratory, Upton, New York, United","States of America","Department of Condensed Matter Physics and#N#                    Materials Science, Brookhaven National Laboratory, Upton, New York, United#N#                    States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Condensed Matter Physics and","institution_ids":[]},{"raw_affiliation_string":"Materials Science, Brookhaven National Laboratory, Upton, New York, United","institution_ids":["https://openalex.org/I200870766"]},{"raw_affiliation_string":"States of America","institution_ids":[]},{"raw_affiliation_string":"Department of Condensed Matter Physics and#N#                    Materials Science, Brookhaven National Laboratory, Upton, New York, United#N#                    States of America","institution_ids":["https://openalex.org/I200870766"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017591427"],"corresponding_institution_ids":["https://openalex.org/I200870766"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":1.3302,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.79475229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"7","issue":"5","first_page":"e1001137","last_page":"e1001137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9994999766349792,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.9994999766349792,"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":0.9994000196456909,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9962000250816345,"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/metabolic-network","display_name":"Metabolic network","score":0.7332409620285034},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6570799946784973},{"id":"https://openalex.org/keywords/metabolic-pathway","display_name":"Metabolic pathway","score":0.5818206071853638},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5654728412628174},{"id":"https://openalex.org/keywords/toolbox","display_name":"Toolbox","score":0.52857905626297},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.520707905292511},{"id":"https://openalex.org/keywords/kegg","display_name":"KEGG","score":0.5091742873191833},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.501408576965332},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4770992398262024},{"id":"https://openalex.org/keywords/systems-biology","display_name":"Systems biology","score":0.4233616590499878},{"id":"https://openalex.org/keywords/biological-network","display_name":"Biological network","score":0.41105732321739197},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3632250428199768},{"id":"https://openalex.org/keywords/computational-biology","display_name":"Computational biology","score":0.3574194312095642},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2794329524040222},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.2713405191898346},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.23506656289100647},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.1326267421245575}],"concepts":[{"id":"https://openalex.org/C101810790","wikidata":"https://www.wikidata.org/wiki/Q2263094","display_name":"Metabolic network","level":2,"score":0.7332409620285034},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6570799946784973},{"id":"https://openalex.org/C192989942","wikidata":"https://www.wikidata.org/wiki/Q68685","display_name":"Metabolic pathway","level":3,"score":0.5818206071853638},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5654728412628174},{"id":"https://openalex.org/C2777655017","wikidata":"https://www.wikidata.org/wiki/Q1501161","display_name":"Toolbox","level":2,"score":0.52857905626297},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.520707905292511},{"id":"https://openalex.org/C152724338","wikidata":"https://www.wikidata.org/wiki/Q909442","display_name":"KEGG","level":5,"score":0.5091742873191833},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.501408576965332},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4770992398262024},{"id":"https://openalex.org/C152662350","wikidata":"https://www.wikidata.org/wiki/Q815297","display_name":"Systems biology","level":2,"score":0.4233616590499878},{"id":"https://openalex.org/C28225019","wikidata":"https://www.wikidata.org/wiki/Q4915005","display_name":"Biological network","level":2,"score":0.41105732321739197},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3632250428199768},{"id":"https://openalex.org/C70721500","wikidata":"https://www.wikidata.org/wiki/Q177005","display_name":"Computational biology","level":1,"score":0.3574194312095642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2794329524040222},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.2713405191898346},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.23506656289100647},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.1326267421245575},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C162317418","wikidata":"https://www.wikidata.org/wiki/Q252857","display_name":"Transcriptome","level":4,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[{"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":"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":"D011387","descriptor_name":"Prokaryotic Cells","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D011387","descriptor_name":"Prokaryotic Cells","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D011387","descriptor_name":"Prokaryotic Cells","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D018085","descriptor_name":"Regulon","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D018085","descriptor_name":"Regulon","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D018085","descriptor_name":"Regulon","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019143","descriptor_name":"Evolution, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019143","descriptor_name":"Evolution, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D019143","descriptor_name":"Evolution, Molecular","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D053858","descriptor_name":"Metabolic Networks and Pathways","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D053858","descriptor_name":"Metabolic Networks and Pathways","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D053858","descriptor_name":"Metabolic Networks and Pathways","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":5,"locations":[{"id":"doi:10.1371/journal.pcbi.1001137","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1001137","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1001137&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:21625566","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21625566","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:osti.gov:1627212","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1627212","pdf_url":"https://www.osti.gov/servlets/purl/1627212","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"pmh:oai:doaj.org/article:99fb7da5e68040e5913fbcfb6e32b3a0","is_oa":true,"landing_page_url":"https://doaj.org/article/99fb7da5e68040e5913fbcfb6e32b3a0","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 7, Iss 5, p e1001137 (2011)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:3098196","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3098196","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.1001137","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1001137","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1001137&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/G2542161959","display_name":null,"funder_award_id":"DE-AC02-98CH10886","funder_id":"https://openalex.org/F4320338289","funder_display_name":"Brookhaven National Laboratory"},{"id":"https://openalex.org/G3243759740","display_name":null,"funder_award_id":"DE-AC02-98CH10886","funder_id":"https://openalex.org/F4320337509","funder_display_name":"Biological and Environmental Research"},{"id":"https://openalex.org/G3850726219","display_name":null,"funder_award_id":"AC02-98CH10886","funder_id":"https://openalex.org/F4320338289","funder_display_name":"Brookhaven National Laboratory"},{"id":"https://openalex.org/G3897559065","display_name":null,"funder_award_id":"No. DE-AC02-98CH10886","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5019921669","display_name":null,"funder_award_id":"Contract No. DE-AC02-98CH10886","funder_id":"https://openalex.org/F4320338289","funder_display_name":"Brookhaven National Laboratory"},{"id":"https://openalex.org/G5378045775","display_name":null,"funder_award_id":"AC02-98CH10886","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G719843099","display_name":null,"funder_award_id":"Contract No. DE-AC02-98CH10886","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320337509","display_name":"Biological and Environmental Research","ror":"https://ror.org/0114b2m14"},{"id":"https://openalex.org/F4320338289","display_name":"Brookhaven National Laboratory","ror":"https://ror.org/02ex6cf31"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2046306171.pdf","grobid_xml":"https://content.openalex.org/works/W2046306171.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W60554719","https://openalex.org/W1610677200","https://openalex.org/W1941122123","https://openalex.org/W1964343149","https://openalex.org/W1973993372","https://openalex.org/W1976672440","https://openalex.org/W1983202741","https://openalex.org/W2000971506","https://openalex.org/W2034993111","https://openalex.org/W2044102076","https://openalex.org/W2046577147","https://openalex.org/W2055993805","https://openalex.org/W2057389251","https://openalex.org/W2066718232","https://openalex.org/W2109449871","https://openalex.org/W2144885342","https://openalex.org/W2159482845","https://openalex.org/W2167680767","https://openalex.org/W3103786587","https://openalex.org/W4294216483","https://openalex.org/W6825872043"],"related_works":["https://openalex.org/W2977457557","https://openalex.org/W2158714033","https://openalex.org/W2072067873","https://openalex.org/W4386628104","https://openalex.org/W78967844","https://openalex.org/W2047632644","https://openalex.org/W2031492751","https://openalex.org/W3213185671","https://openalex.org/W3033588432","https://openalex.org/W2133150343"],"abstract_inverted_index":{"In":[0],"prokaryotic":[1],"genomes":[2,100],"the":[3,14,17,46,72,85,93,102,113,117,133,157,160,181,200,207,215,221,224,229,237,254,258],"number":[4,19,135,190,216,241],"of":[5,16,20,26,49,56,65,74,88,96,99,116,136,139,159,191,195,203,217,223,232,242,257,265,267,278,290,295],"transcriptional":[6],"regulators":[7],"is":[8,142,146],"known":[9],"to":[10,13,31,43,80,144,162],"be":[11,81],"proportional":[12],"square":[15],"total":[18],"protein-coding":[21],"genes.":[22],"A":[23],"toolbox":[24,103,118],"model":[25,119,161,183,198],"evolution":[27],"was":[28],"recently":[29],"proposed":[30],"explain":[32,253],"this":[33,89,108,196],"empirical":[34],"scaling":[35,94,114,213,260],"for":[36,151,261],"metabolic":[37,47,174,179,225,270,282,296],"enzymes":[38],"and":[39,149,172,220,246,252,293],"their":[40,240],"regulators.":[41],"According":[42],"its":[44,178],"rules,":[45],"network":[48,69,91,202],"an":[50],"organism":[51],"evolves":[52],"by":[53,71,110,286],"horizontal":[54],"transfer":[55],"pathways":[57,62,187,219],"from":[58],"other":[59],"species.":[60],"These":[61],"are":[63,284],"part":[64],"a":[66,140,262,287],"larger":[67],"\"universal\"":[68],"formed":[70],"union":[73],"all":[75,204],"species-specific":[76],"networks.":[77,124,271,300],"It":[78],"remained":[79],"understood,":[82],"however,":[83],"how":[84],"topological":[86],"properties":[87,115],"universal":[90,123,201,269],"influence":[92],"law":[95],"functional":[97],"content":[98],"in":[101,131,206,276,298],"model.":[104],"Here":[105],"we":[106,235],"answer":[107],"question":[109],"first":[111],"analyzing":[112],"on":[120,199],"arbitrary":[121],"tree-like":[122],"We":[125,154],"prove":[126],"that":[127],"critical":[128],"branching":[129],"topology,":[130,280],"which":[132],"average":[134],"upstream":[137],"neighbors":[138],"node":[141],"equal":[143],"one,":[145],"both":[147],"necessary":[148],"sufficient":[150],"quadratic":[152,212,259],"scaling.":[153],"further":[155],"generalize":[156],"rules":[158],"incorporate":[163],"reactions":[164,205],"with":[165,188],"multiple":[166],"substrates/products":[167],"as":[168,170],"well":[169],"branched":[171],"cyclic":[173],"pathways.":[175],"To":[176,227],"achieve":[177],"tasks,":[180],"new":[182],"employs":[184],"evolutionary":[185],"optimized":[186],"minimal":[189],"reactions.":[192],"Numerical":[193],"simulations":[194],"realistic":[197],"KEGG":[208],"database":[209],"produced":[210],"approximately":[211],"between":[214,239],"regulated":[218],"size":[222],"network.":[226],"quantify":[228],"geometrical":[230],"structure":[231],"individual":[233],"pathways,":[234],"investigated":[236],"relationship":[238],"reactions,":[243],"byproducts,":[244],"intermediate,":[245],"feedback":[247],"metabolites.":[248],"Our":[249],"results":[250],"validate":[251],"ubiquitous":[255],"appearance":[256],"broad":[263,288],"spectrum":[264],"topologies":[266],"underlying":[268],"They":[272],"also":[273],"demonstrate":[274],"why,":[275],"spite":[277],"\"small-world\"":[279],"real-life":[281],"networks":[283],"characterized":[285],"distribution":[289],"pathway":[291],"lengths":[292],"sizes":[294],"regulons":[297],"regulatory":[299]},"counts_by_year":[{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}