{"id":"https://openalex.org/W2069709246","doi":"https://doi.org/10.1103/physreve.81.052901","title":"Self-sustained biochemical oscillations and waves with a feedback determined only by boundary conditions","display_name":"Self-sustained biochemical oscillations and waves with a feedback determined only by boundary conditions","publication_year":2010,"publication_date":"2010-05-17","ids":{"openalex":"https://openalex.org/W2069709246","doi":"https://doi.org/10.1103/physreve.81.052901","mag":"2069709246","pmid":"https://pubmed.ncbi.nlm.nih.gov/20866284"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.81.052901","doi":"https://doi.org/10.1103/physreve.81.052901","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.81.052901","pdf_url":null,"source":{"id":"https://openalex.org/S35412551","display_name":"Physical Review E","issn_l":"1539-3755","issn":["1539-3755","1550-2376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5090954731","display_name":"Eugene B. Postnikov","orcid":"https://orcid.org/0000-0001-7904-1881","observed_orcids":["https://orcid.org/0000-0001-7904-1881"]},"institutions":[{"id":"https://openalex.org/I140141371","display_name":"Kursk State University","ror":"https://ror.org/05yjqdn82","country_code":"RU","type":"education","lineage":["https://openalex.org/I140141371"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"E. B. Postnikov","raw_affiliation_strings":["Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia. postnicov@gmail.com","Department of Theoretical Physics, Kursk State University, Radishcheva Street, 33, 305000 Kursk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia. postnicov@gmail.com","institution_ids":["https://openalex.org/I140141371"]},{"raw_affiliation_string":"Department of Theoretical Physics, Kursk State University, Radishcheva Street, 33, 305000 Kursk, Russia","institution_ids":["https://openalex.org/I140141371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011948017","display_name":"Andrey Yu. Verisokin","orcid":"https://orcid.org/0000-0002-3655-7682","observed_orcids":["https://orcid.org/0000-0002-3655-7682"]},"institutions":[{"id":"https://openalex.org/I140141371","display_name":"Kursk State University","ror":"https://ror.org/05yjqdn82","country_code":"RU","type":"education","lineage":["https://openalex.org/I140141371"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A. Yu. Verisokin","raw_affiliation_strings":["Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia","institution_ids":["https://openalex.org/I140141371"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062724880","display_name":"\u0412\u0435\u0440\u0432\u0435\u0439\u043a\u043e \u0414\u0430\u0440\u044c\u044f \u0412\u044f\u0447\u0435\u0441\u043b\u0430\u0432\u043e\u0432\u043d\u0430","orcid":"https://orcid.org/0000-0003-3661-3928","observed_orcids":["https://orcid.org/0000-0003-3661-3928"]},"institutions":[{"id":"https://openalex.org/I140141371","display_name":"Kursk State University","ror":"https://ror.org/05yjqdn82","country_code":"RU","type":"education","lineage":["https://openalex.org/I140141371"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"D. V. Verveyko","raw_affiliation_strings":["Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia","institution_ids":["https://openalex.org/I140141371"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048942945","display_name":"Anastasia I. Lavrova","orcid":"https://orcid.org/0000-0002-8969-535X","observed_orcids":["https://orcid.org/0000-0002-8969-535X"]},"institutions":[{"id":"https://openalex.org/I140141371","display_name":"Kursk State University","ror":"https://ror.org/05yjqdn82","country_code":"RU","type":"education","lineage":["https://openalex.org/I140141371"]},{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE","RU"],"is_corresponding":true,"raw_author_name":"A. I. Lavrova","raw_affiliation_strings":["Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia","Institute of Physics, Humboldt-University at Berlin, Newtonstr. 15, 12489 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia","institution_ids":["https://openalex.org/I140141371"]},{"raw_affiliation_string":"Institute of Physics, Humboldt-University at Berlin, Newtonstr. 15, 12489 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048942945","https://openalex.org/A5090954731"],"corresponding_institution_ids":["https://openalex.org/I140141371","https://openalex.org/I39343248"],"apc_list":null,"apc_paid":null,"fwci":0.4029,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.54475221,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"81","issue":"5","first_page":"052901","last_page":"052901"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.0,"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/self-excited-vibration","display_name":"self-excited vibration","score":0.9440000057220459},{"id":"https://openalex.org/keywords/traveling-waves","display_name":"traveling waves","score":0.765999972820282},{"id":"https://openalex.org/keywords/reaction-diffusion-systems","display_name":"reaction-diffusion systems","score":0.7639999985694885},{"id":"https://openalex.org/keywords/boundary-conditions","display_name":"boundary conditions","score":0.875},{"id":"https://openalex.org/keywords/biochemical-oscillations","display_name":"biochemical oscillations","score":0.5609999895095825}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5756751298904419},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.5749106407165527},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.568561315536499},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5221326947212219},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4950096011161804},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4689435660839081},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.43453699350357056},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.4184323251247406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37598657608032227},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33804619312286377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3293510675430298},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.12423673272132874},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.11772945523262024},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000255","descriptor_name":"Adenosine Triphosphate","qualifier_ui":"Q000737","qualifier_name":"chemistry","is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","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":"D001671","descriptor_name":"Biochemistry","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D001703","descriptor_name":"Biophysics","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003600","descriptor_name":"Cytosol","qualifier_ui":"Q000378","qualifier_name":"metabolism","is_major_topic":false},{"descriptor_ui":"D004058","descriptor_name":"Diffusion","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006019","descriptor_name":"Glycolysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","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":false},{"descriptor_ui":"D008962","descriptor_name":"Models, Theoretical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009991","descriptor_name":"Oscillometry","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D015398","descriptor_name":"Signal Transduction","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D025461","descriptor_name":"Feedback, Physiological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1103/physreve.81.052901","doi":"https://doi.org/10.1103/physreve.81.052901","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.81.052901","pdf_url":null,"source":{"id":"https://openalex.org/S35412551","display_name":"Physical Review E","issn_l":"1539-3755","issn":["1539-3755","1550-2376"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:20866284","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/20866284","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,"listed_in":[],"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":"Physical review. E, Statistical, nonlinear, and soft matter physics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1609328604","https://openalex.org/W1938657618","https://openalex.org/W1987933467","https://openalex.org/W1995186451","https://openalex.org/W2002039436","https://openalex.org/W2010008279","https://openalex.org/W2010977350","https://openalex.org/W2090510565","https://openalex.org/W2091752698","https://openalex.org/W2105783771","https://openalex.org/W2143489502","https://openalex.org/W2155020128"],"related_works":["https://openalex.org/W126363715","https://openalex.org/W2737159515","https://openalex.org/W2049683270","https://openalex.org/W883644","https://openalex.org/W1973942753","https://openalex.org/W2769053677","https://openalex.org/W3014158122","https://openalex.org/W591134361","https://openalex.org/W2022104378","https://openalex.org/W2083376695"],"abstract_inverted_index":{"We":[0,37,53],"discuss":[1,54],"the":[2,18,27,45,50,55],"biochemical":[3],"three-dimensional":[4],"reaction-diffusion":[5],"model,":[6],"which":[7,60],"does":[8],"not":[9],"provide":[10],"temporal":[11],"self-sustained":[12,19],"oscillations":[13,20],"via":[14],"reaction":[15],"terms.":[16],"However,":[17],"and":[21],"waves":[22],"could":[23],"be":[24],"obtained":[25],"using":[26],"proper":[28],"boundary":[29],"conditions":[30],"for":[31,59],"systems":[32],"with":[33],"a":[34],"finite":[35],"thickness.":[36],"have":[38],"carried":[39],"out":[40],"in":[41],"our":[42,61],"numerical":[43],"simulation":[44],"results":[46],"quite":[47],"corresponding":[48],"to":[49],"experimental":[51],"ones.":[52],"range":[56],"of":[57],"models":[58],"approach":[62],"is":[63],"applicable.":[64]},"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2016-06-24T00:00:00"}
