{"id":"https://openalex.org/W2186184219","doi":"https://doi.org/10.1137/15100429x","title":"Chemotactic Traveling Waves by Metric of Food","display_name":"Chemotactic Traveling Waves by Metric of Food","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2186184219","doi":"https://doi.org/10.1137/15100429x","mag":"2186184219"},"language":"en","primary_location":{"id":"doi:10.1137/15100429x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15100429x","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","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/A5101914645","display_name":"Sun-Ho Choi","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sun-Ho Choi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058009844","display_name":"Yong-Jung Kim","orcid":"https://orcid.org/0000-0003-0968-4093"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yong-Jung Kim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101914645"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.494,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.685685,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"75","issue":"5","first_page":"2268","last_page":"2289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9969000220298767,"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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9860000014305115,"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/metric","display_name":"Metric (unit)","score":0.7483831644058228},{"id":"https://openalex.org/keywords/traveling-wave","display_name":"Traveling wave","score":0.6595287322998047},{"id":"https://openalex.org/keywords/chemotaxis","display_name":"Chemotaxis","score":0.6482076048851013},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5634328722953796},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.5600367188453674},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5508279800415039},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5180901885032654},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5054647922515869},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.45546257495880127},{"id":"https://openalex.org/keywords/length-scale","display_name":"Length scale","score":0.41606196761131287},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4100266098976135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3478304147720337},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34753602743148804},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.3365280032157898},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.16911235451698303},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16334769129753113},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1614736020565033},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13666948676109314},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08008638024330139}],"concepts":[{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7483831644058228},{"id":"https://openalex.org/C2988173416","wikidata":"https://www.wikidata.org/wiki/Q37172","display_name":"Traveling wave","level":2,"score":0.6595287322998047},{"id":"https://openalex.org/C54166955","wikidata":"https://www.wikidata.org/wiki/Q658145","display_name":"Chemotaxis","level":3,"score":0.6482076048851013},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5634328722953796},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.5600367188453674},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5508279800415039},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5180901885032654},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5054647922515869},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.45546257495880127},{"id":"https://openalex.org/C11135259","wikidata":"https://www.wikidata.org/wiki/Q2477027","display_name":"Length scale","level":2,"score":0.41606196761131287},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4100266098976135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3478304147720337},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34753602743148804},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.3365280032157898},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.16911235451698303},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16334769129753113},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1614736020565033},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13666948676109314},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08008638024330139},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15100429x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15100429x","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"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 Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/2","display_name":"Zero hunger"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1969861965","https://openalex.org/W1973496993","https://openalex.org/W1978941072","https://openalex.org/W1983975033","https://openalex.org/W1987347396","https://openalex.org/W1999311718","https://openalex.org/W2014026771","https://openalex.org/W2014527760","https://openalex.org/W2021117151","https://openalex.org/W2036246322","https://openalex.org/W2053439652","https://openalex.org/W2064586823","https://openalex.org/W2092050482","https://openalex.org/W2095263721","https://openalex.org/W2097456368","https://openalex.org/W2099634813","https://openalex.org/W2124227685","https://openalex.org/W2137420983","https://openalex.org/W2144848758","https://openalex.org/W2146076877","https://openalex.org/W2161029367","https://openalex.org/W3022347268"],"related_works":["https://openalex.org/W1596865785","https://openalex.org/W1993973863","https://openalex.org/W2085357479","https://openalex.org/W2417007386","https://openalex.org/W2388783242","https://openalex.org/W1135436615","https://openalex.org/W2975251372","https://openalex.org/W2313472050","https://openalex.org/W2015038634","https://openalex.org/W2147110523"],"abstract_inverted_index":{"The":[0,112],"meaningful":[1],"distance":[2,38],"to":[3],"biological":[4,40],"organisms":[5,41],"is":[6,31,42,56,67,79],"not":[7],"necessarily":[8],"one":[9,17],"measured":[10,43],"by":[11,18,44,81],"the":[12,23,37,45,71,85,95,104,115],"Euclidean":[13],"metric":[14,20],"but":[15],"possibly":[16],"a":[19,75,83,109,118],"that":[21,36,98],"counts":[22],"amount":[24,46],"of":[25,47,61,64,74,108,117],"resources":[26],"such":[27,82],"as":[28,58],"food.":[29],"It":[30,66],"assumed":[32],"in":[33],"this":[34,62],"paper":[35],"for":[39],"food":[48],"between":[49],"two":[50],"places.":[51],"A":[52],"new":[53],"chemotaxis":[54],"model":[55],"introduced":[57],"an":[59],"application":[60],"\u201cmetric":[63],"food.\u201d":[65],"shown":[68],"that,":[69],"if":[70],"walk":[72,77],"length":[73],"random":[76],"system":[78],"given":[80],"metric,":[84],"well-known":[86],"chemotactic":[87],"traveling":[88,119],"wave":[89,120],"phenomena":[90],"can":[91],"be":[92],"obtained":[93],"without":[94],"typical":[96],"assumption":[97],"microscopic":[99],"scale":[100,106],"bacteria":[101],"may":[102],"sense":[103],"macroscopic":[105],"gradient":[107],"chemical":[110],"concentration.":[111],"uniqueness":[113],"and":[114],"existence":[116],"solution":[121],"are":[122],"obtained.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"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":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
