{"id":"https://openalex.org/W2766896253","doi":"https://doi.org/10.3233/jcm-170773","title":"Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics","display_name":"Numerical approximation of nonhomogeneous boundary conditions on networks for a hyperbolic system of chemotaxis modeling the Physarum dynamics","publication_year":2017,"publication_date":"2017-10-17","ids":{"openalex":"https://openalex.org/W2766896253","doi":"https://doi.org/10.3233/jcm-170773","mag":"2766896253"},"language":"en","primary_location":{"id":"doi:10.3233/jcm-170773","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-170773","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053278196","display_name":"Gabriella Bretti","orcid":"https://orcid.org/0000-0001-5293-2115"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Gabriella Bretti","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028629975","display_name":"Roberto Natalini","orcid":"https://orcid.org/0000-0002-5453-6383"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roberto Natalini","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053278196"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3937,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.61765403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"1","first_page":"85","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":1.0,"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"}},{"id":"https://openalex.org/T12832","display_name":"Biocrusts and Microbial Ecology","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1105","display_name":"Ecology, Evolution, Behavior and Systematics"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/physarum-polycephalum","display_name":"Physarum polycephalum","score":0.9698795080184937},{"id":"https://openalex.org/keywords/slime-mold","display_name":"Slime mold","score":0.763038158416748},{"id":"https://openalex.org/keywords/physarum","display_name":"Physarum","score":0.6447033882141113},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5192901492118835},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5017533302307129},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.49275830388069153},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4809072017669678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.475881963968277},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.47573399543762207},{"id":"https://openalex.org/keywords/chemotaxis","display_name":"Chemotaxis","score":0.4710438549518585},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4693727493286133},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.43315237760543823},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3601379990577698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3522028923034668},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33295994997024536},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26811009645462036},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1995062232017517},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.15671366453170776},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.10444828867912292},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.08239060640335083},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.07982680201530457}],"concepts":[{"id":"https://openalex.org/C2780855919","wikidata":"https://www.wikidata.org/wiki/Q134950","display_name":"Physarum polycephalum","level":2,"score":0.9698795080184937},{"id":"https://openalex.org/C33682779","wikidata":"https://www.wikidata.org/wiki/Q949817","display_name":"Slime mold","level":2,"score":0.763038158416748},{"id":"https://openalex.org/C2778153493","wikidata":"https://www.wikidata.org/wiki/Q289636","display_name":"Physarum","level":3,"score":0.6447033882141113},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5192901492118835},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5017533302307129},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.49275830388069153},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4809072017669678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.475881963968277},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.47573399543762207},{"id":"https://openalex.org/C54166955","wikidata":"https://www.wikidata.org/wiki/Q658145","display_name":"Chemotaxis","level":3,"score":0.4710438549518585},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4693727493286133},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.43315237760543823},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3601379990577698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3522028923034668},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33295994997024536},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26811009645462036},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1995062232017517},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.15671366453170776},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.10444828867912292},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.08239060640335083},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.07982680201530457},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C170493617","wikidata":"https://www.wikidata.org/wiki/Q208467","display_name":"Receptor","level":2,"score":0.0},{"id":"https://openalex.org/C95444343","wikidata":"https://www.wikidata.org/wiki/Q7141","display_name":"Cell biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jcm-170773","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-170773","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W196325668","https://openalex.org/W1534983138","https://openalex.org/W1661179413","https://openalex.org/W1964125680","https://openalex.org/W1994153815","https://openalex.org/W2003810228","https://openalex.org/W2004229867","https://openalex.org/W2008040235","https://openalex.org/W2021856295","https://openalex.org/W2025784686","https://openalex.org/W2028805717","https://openalex.org/W2042840046","https://openalex.org/W2042892258","https://openalex.org/W2075286470","https://openalex.org/W2076243987","https://openalex.org/W2100847814","https://openalex.org/W2107618142","https://openalex.org/W2125798719","https://openalex.org/W2132354178","https://openalex.org/W2152523443","https://openalex.org/W2181433035","https://openalex.org/W2257989821","https://openalex.org/W2607341597","https://openalex.org/W2962732123","https://openalex.org/W2964062621","https://openalex.org/W3102090198","https://openalex.org/W4242496272","https://openalex.org/W6631848652"],"related_works":["https://openalex.org/W132544618","https://openalex.org/W2964239299","https://openalex.org/W2769697016","https://openalex.org/W4299929983","https://openalex.org/W763136573","https://openalex.org/W2109063077","https://openalex.org/W2274750299","https://openalex.org/W2883224063","https://openalex.org/W2737068321","https://openalex.org/W2483646289"],"abstract_inverted_index":{"Many":[0],"studies":[1],"have":[2],"shown":[3],"that":[4],"Physarum":[5],"polycephalum":[6],"slime":[7],"mold":[8],"is":[9],"able":[10],"to":[11],"find":[12],"the":[13],"shortest":[14],"path":[15],"in":[16,26],"a":[17,27,30],"maze.":[18],"In":[19],"this":[20,24],"paper":[21],"we":[22],"study":[23],"behavior":[25],"network,":[28],"using":[29],"hyperbolic":[31],"model":[32],"of":[33],"chemotaxis.":[34],"Suitable":[35],"transmission":[36],"and":[37],"boundary":[38],"conditions":[39],"at":[40],"eac":[41]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}