{"id":"https://openalex.org/W2125106797","doi":"https://doi.org/10.1371/journal.pcbi.1002474","title":"Geometric Theory Predicts Bifurcations in Minimal Wiring Cost Trees in Biology Are Flat","display_name":"Geometric Theory Predicts Bifurcations in Minimal Wiring Cost Trees in Biology Are Flat","publication_year":2012,"publication_date":"2012-04-12","ids":{"openalex":"https://openalex.org/W2125106797","doi":"https://doi.org/10.1371/journal.pcbi.1002474","mag":"2125106797","pmid":"https://pubmed.ncbi.nlm.nih.gov/22557937"},"language":"en","primary_location":{"id":"doi:10.1371/journal.pcbi.1002474","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1002474","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002474&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.1002474&type=printable","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024452133","display_name":"Yihwa Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I142637625","display_name":"Okinawa Institute of Science and Technology Graduate University","ror":"https://ror.org/02qg15b79","country_code":"JP","type":"education","lineage":["https://openalex.org/I142637625"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yihwa Kim","raw_affiliation_strings":["Computational Neuroscience Unit, Okinawa Institute of Science and Technology, Okinawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Neuroscience Unit, Okinawa Institute of Science and Technology, Okinawa, Japan","institution_ids":["https://openalex.org/I142637625"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071082834","display_name":"Robert Sinclair","orcid":"https://orcid.org/0000-0002-9646-4322"},"institutions":[{"id":"https://openalex.org/I142637625","display_name":"Okinawa Institute of Science and Technology Graduate University","ror":"https://ror.org/02qg15b79","country_code":"JP","type":"education","lineage":["https://openalex.org/I142637625"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Robert Sinclair","raw_affiliation_strings":["Mathematical Biology Unit, Okinawa Institute of Science and Technology, Okinawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Biology Unit, Okinawa Institute of Science and Technology, Okinawa, Japan","institution_ids":["https://openalex.org/I142637625"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061231769","display_name":"Nol Chindapol","orcid":null},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Nol Chindapol","raw_affiliation_strings":["Section Computational Science, Faculty of Science, University of Amsterdam, Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section Computational Science, Faculty of Science, University of Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091729787","display_name":"Jaap A. Kaandorp","orcid":"https://orcid.org/0000-0003-4558-7135"},"institutions":[{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jaap A. Kaandorp","raw_affiliation_strings":["Section Computational Science, Faculty of Science, University of Amsterdam, Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Section Computational Science, Faculty of Science, University of Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089780814","display_name":"Erik De Schutter","orcid":"https://orcid.org/0000-0001-8618-5138"},"institutions":[{"id":"https://openalex.org/I142637625","display_name":"Okinawa Institute of Science and Technology Graduate University","ror":"https://ror.org/02qg15b79","country_code":"JP","type":"education","lineage":["https://openalex.org/I142637625"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Erik De Schutter","raw_affiliation_strings":["Computational Neuroscience Unit, Okinawa Institute of Science and Technology, Okinawa, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Neuroscience Unit, Okinawa Institute of Science and Technology, Okinawa, Japan","institution_ids":["https://openalex.org/I142637625"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089780814"],"corresponding_institution_ids":["https://openalex.org/I142637625"],"apc_list":{"value":2655,"currency":"USD","value_usd":2655},"apc_paid":{"value":2655,"currency":"USD","value_usd":2655},"fwci":0.8402,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.83211923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"8","issue":"4","first_page":"e1002474","last_page":"e1002474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10540","display_name":"Advanced Fluorescence Microscopy Techniques","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"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/T10540","display_name":"Advanced Fluorescence Microscopy Techniques","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"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/T12859","display_name":"Cell Image Analysis Techniques","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9907000064849854,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.6256405115127563},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.623037576675415},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5645326972007751},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5512102246284485},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.5108187198638916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48406949639320374},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4745160937309265},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4545241892337799},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4480651617050171},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38983413577079773},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35439446568489075},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3017587661743164},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2711713910102844},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.20327454805374146},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16783073544502258},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.09359335899353027}],"concepts":[{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.6256405115127563},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.623037576675415},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5645326972007751},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5512102246284485},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.5108187198638916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48406949639320374},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4745160937309265},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4545241892337799},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4480651617050171},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38983413577079773},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35439446568489075},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3017587661743164},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2711713910102844},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.20327454805374146},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16783073544502258},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.09359335899353027},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","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":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008953","descriptor_name":"Models, Anatomic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008953","descriptor_name":"Models, Anatomic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D008953","descriptor_name":"Models, Anatomic","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":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009024","descriptor_name":"Morphogenesis","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009024","descriptor_name":"Morphogenesis","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009024","descriptor_name":"Morphogenesis","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D037421","descriptor_name":"Anthozoa","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D037421","descriptor_name":"Anthozoa","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D037421","descriptor_name":"Anthozoa","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D037421","descriptor_name":"Anthozoa","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D037421","descriptor_name":"Anthozoa","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D037421","descriptor_name":"Anthozoa","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false}],"locations_count":11,"locations":[{"id":"doi:10.1371/journal.pcbi.1002474","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1002474","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002474&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:22557937","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22557937","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:c:irua:141312","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401849","display_name":"Institutional Repository University of Antwerp (University of Antwerp)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149213910","host_organization_name":"University of Antwerp","host_organization_lineage":["https://openalex.org/I149213910"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/9dc20f27-ced8-4311-b9e2-cb50403e88f1","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/geometric-theory-predicts-bifurcations-in-minimal-wiring-cost-trees-in-biology-are-flat(9dc20f27-ced8-4311-b9e2-cb50403e88f1).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kim, Y, Sinclair, R, Chindapol, N, Kaandorp, J A & De Schutter, E 2012, 'Geometric theory predicts bifurcations in minimal wiring cost trees in biology are flat', PLoS Computational Biology, vol. 8, no. 4, pp. e1002474. https://doi.org/10.1371/journal.pcbi.1002474","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.773.9874","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.773.9874","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.ncbi.nlm.nih.gov/pub/pmc/ed/8d/pcbi.1002474.PMC3325189.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:plo:pcbi00:1002474","is_oa":false,"landing_page_url":"https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1002474","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:dare.uva.nl:openaire/9dc20f27-ced8-4311-b9e2-cb50403e88f1","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/geometric-theory-predicts-bifurcations-in-minimal-wiring-cost-trees-in-biology-are-flat(9dc20f27-ced8-4311-b9e2-cb50403e88f1).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kim, Y, Sinclair, R, Chindapol, N, Kaandorp, J A & De Schutter, E 2012, 'Geometric theory predicts bifurcations in minimal wiring cost trees in biology are flat', PLoS Computational Biology, vol. 8, no. 4, pp. e1002474. https://doi.org/10.1371/journal.pcbi.1002474","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dare.uva.nl:publications/9dc20f27-ced8-4311-b9e2-cb50403e88f1","is_oa":true,"landing_page_url":"http://dare.uva.nl/personal/pure/en/publications/geometric-theory-predicts-bifurcations-in-minimal-wiring-cost-trees-in-biology-are-flat(9dc20f27-ced8-4311-b9e2-cb50403e88f1).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kim, Y, Sinclair, R, Chindapol, N, Kaandorp, J A & De Schutter, E 2012, 'Geometric theory predicts bifurcations in minimal wiring cost trees in biology are flat', PLoS Computational Biology, vol. 8, no. 4, pp. e1002474. https://doi.org/10.1371/journal.pcbi.1002474","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:719c6a75ed5243c7a3056ce609dcd9cd","is_oa":true,"landing_page_url":"https://doaj.org/article/719c6a75ed5243c7a3056ce609dcd9cd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"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 8, Iss 4, p e1002474 (2012)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/126412","is_oa":true,"landing_page_url":"https://figshare.com/articles/dataset/Geometric_Theory_Predicts_Bifurcations_in_Minimal_Wiring_Cost_Trees_in_Biology_Are_Flat/126412","pdf_url":null,"source":{"id":"https://openalex.org/S4306402621","display_name":"INDIGO (University of Illinois at Chicago)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39422238","host_organization_name":"University of Illinois Chicago","host_organization_lineage":["https://openalex.org/I39422238"],"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":"","raw_type":"Dataset"},{"id":"pmh:oai:pubmedcentral.nih.gov:3325189","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/3325189","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.1002474","is_oa":true,"landing_page_url":"https://doi.org/10.1371/journal.pcbi.1002474","pdf_url":"https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1002474&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":[{"score":0.800000011920929,"display_name":"Life below water","id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2125106797.pdf","grobid_xml":"https://content.openalex.org/works/W2125106797.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W1525852614","https://openalex.org/W1810229463","https://openalex.org/W1965210407","https://openalex.org/W1967466601","https://openalex.org/W1968553256","https://openalex.org/W1972627216","https://openalex.org/W1974808083","https://openalex.org/W1978675926","https://openalex.org/W1979235369","https://openalex.org/W1983276997","https://openalex.org/W1986536556","https://openalex.org/W1991037805","https://openalex.org/W1994826081","https://openalex.org/W1998978018","https://openalex.org/W2004921550","https://openalex.org/W2011509403","https://openalex.org/W2017077054","https://openalex.org/W2020112047","https://openalex.org/W2021376907","https://openalex.org/W2024633374","https://openalex.org/W2044948463","https://openalex.org/W2046322851","https://openalex.org/W2047691539","https://openalex.org/W2049064952","https://openalex.org/W2051767463","https://openalex.org/W2061186544","https://openalex.org/W2065943966","https://openalex.org/W2078206416","https://openalex.org/W2080287072","https://openalex.org/W2086200882","https://openalex.org/W2086261703","https://openalex.org/W2086709935","https://openalex.org/W2090109361","https://openalex.org/W2096473624","https://openalex.org/W2098288979","https://openalex.org/W2100728233","https://openalex.org/W2107633128","https://openalex.org/W2110164713","https://openalex.org/W2115313732","https://openalex.org/W2121130930","https://openalex.org/W2124135702","https://openalex.org/W2131683071","https://openalex.org/W2144662207","https://openalex.org/W2149248122","https://openalex.org/W2149257146","https://openalex.org/W2156254858","https://openalex.org/W2156453746","https://openalex.org/W2158947594","https://openalex.org/W2159545748","https://openalex.org/W2166247014","https://openalex.org/W2171589013","https://openalex.org/W2172222998","https://openalex.org/W2315149614","https://openalex.org/W2319255637","https://openalex.org/W2493095690","https://openalex.org/W2580013064","https://openalex.org/W2800860906","https://openalex.org/W3148632216","https://openalex.org/W4243923831","https://openalex.org/W4250430377","https://openalex.org/W4285719527","https://openalex.org/W6732376980","https://openalex.org/W6766120893"],"related_works":["https://openalex.org/W2125311247","https://openalex.org/W3187836939","https://openalex.org/W1978042415","https://openalex.org/W2946992918","https://openalex.org/W2090953203","https://openalex.org/W4386614991","https://openalex.org/W4383176016","https://openalex.org/W2074881724","https://openalex.org/W1971779258","https://openalex.org/W2198005707"],"abstract_inverted_index":{"The":[0],"complex":[1],"three-dimensional":[2],"shapes":[3],"of":[4,74,79,92,122,144,151],"tree-like":[5],"structures":[6],"in":[7,35,41,54,58,110,148],"biology":[8],"are":[9,142],"constrained":[10],"by":[11],"optimization":[12,147],"principles,":[13],"but":[14],"the":[15,36,75,90,96],"actual":[16],"costs":[17],"being":[18],"minimized":[19],"can":[20],"be":[21,49,119],"difficult":[22],"to":[23,48],"discern.":[24],"We":[25,51,125,137],"show":[26],"that":[27,53,62,139],"despite":[28],"quite":[29],"variable":[30],"morphologies":[31],"and":[32,40,134],"functions,":[33],"bifurcations":[34,56,141],"scleractinian":[37],"coral":[38],"Madracis":[39],"many":[42,86,131],"different":[43,87],"mammalian":[44],"neuron":[45,135],"types":[46],"tend":[47],"planar.":[50],"prove":[52],"fact":[55],"embedded":[57],"a":[59],"spatial":[60,153],"tree":[61,154],"minimizes":[63],"wiring":[64,145],"cost":[65,93,146],"should":[66],"lie":[67],"on":[68],"planes.":[69],"This":[70],"biologically":[71],"motivated":[72],"generalization":[73],"classical":[76],"mathematical":[77],"theory":[78],"Euclidean":[80],"Steiner":[81],"trees":[82],"is":[83,128],"compatible":[84],"with":[85],"assumptions":[88],"about":[89],"type":[91,150],"function.":[94],"Since":[95],"geometric":[97],"proof":[98],"does":[99],"not":[100],"require":[101],"any":[102,149],"correlation":[103],"between":[104],"consecutive":[105,116],"planes,":[106],"we":[107],"predict":[108],"that,":[109],"an":[111],"environment":[112],"without":[113],"directional":[114],"biases,":[115],"planes":[117],"would":[118],"oriented":[120],"independently":[121],"each":[123],"other.":[124],"confirm":[126],"this":[127],"true":[129],"for":[130],"branching":[132],"corals":[133],"types.":[136],"conclude":[138],"planar":[140],"characteristic":[143],"biological":[152],"structure.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}