{"id":"https://openalex.org/W2953356910","doi":"https://doi.org/10.1137/15m1013110","title":"Mesoscopic Modeling of Stochastic Reaction-Diffusion Kinetics in the Subdiffusive Regime","display_name":"Mesoscopic Modeling of Stochastic Reaction-Diffusion Kinetics in the Subdiffusive Regime","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2953356910","doi":"https://doi.org/10.1137/15m1013110","mag":"2953356910","pmid":"https://pubmed.ncbi.nlm.nih.gov/29046618"},"language":"en","primary_location":{"id":"doi:10.1137/15m1013110","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1013110","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1503.07009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Emilie Blanc","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Emilie Blanc","raw_affiliation_strings":["Division of Scientific Computing, Department of Information Technology, Uppsala University, P. O. Box 337, SE-75105 Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Scientific Computing, Department of Information Technology, Uppsala University, P. O. Box 337, SE-75105 Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Stefan Engblom","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Stefan Engblom","raw_affiliation_strings":["Division of Scientific Computing, Department of Information Technology, Uppsala University, P. O. Box 337, SE-75105 Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Scientific Computing, Department of Information Technology, Uppsala University, P. O. Box 337, SE-75105 Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Andreas Hellander","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Andreas Hellander","raw_affiliation_strings":["Division of Scientific Computing, Department of Information Technology, Uppsala University, P. O. Box 337, SE-75105 Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Scientific Computing, Department of Information Technology, Uppsala University, P. O. Box 337, SE-75105 Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]},{"author_position":"last","author":{"id":null,"display_name":"Per L\u00f6tstedt","orcid":null},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Per L\u00f6tstedt","raw_affiliation_strings":["Division of Scientific Computing, Department of Information Technology, Uppsala University, P. O. Box 337, SE-75105 Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Scientific Computing, Department of Information Technology, Uppsala University, P. O. Box 337, SE-75105 Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":null,"apc_paid":null,"fwci":1.6418,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.84725537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"2","first_page":"668","last_page":"707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.2281000018119812,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.2281000018119812,"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":0.20080000162124634,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.12929999828338623,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mesoscopic-physics","display_name":"Mesoscopic physics","score":0.9484000205993652},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6446999907493591},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5317999720573425},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5090000033378601},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.46149998903274536},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"Anomalous diffusion","score":0.39250001311302185},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.38359999656677246},{"id":"https://openalex.org/keywords/kinetic-energy","display_name":"Kinetic energy","score":0.37070000171661377},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.3677999973297119}],"concepts":[{"id":"https://openalex.org/C177731217","wikidata":"https://www.wikidata.org/wiki/Q2622244","display_name":"Mesoscopic physics","level":2,"score":0.9484000205993652},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6845999956130981},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6446999907493591},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5317999720573425},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5090000033378601},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.46149998903274536},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40529999136924744},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.39250001311302185},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.38359999656677246},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.37070000171661377},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35420000553131104},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.34599998593330383},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3375999927520752},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3203999996185303},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.31119999289512634},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C2993277463","wikidata":"https://www.wikidata.org/wiki/Q209082","display_name":"Chemical reaction kinetics","level":4,"score":0.30320000648498535},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C19979193","wikidata":"https://www.wikidata.org/wiki/Q25100325","display_name":"Kinetic theory","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C66024118","wikidata":"https://www.wikidata.org/wiki/Q1122506","display_name":"Computational model","level":2,"score":0.274399995803833},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.263700008392334},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.2572000026702881}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/15m1013110","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1013110","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"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":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmid:29046618","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/29046618","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":"Multiscale modeling & simulation : a SIAM interdisciplinary journal","raw_type":null},{"id":"pmh:oai:arXiv.org:1503.07009","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.07009","pdf_url":"https://arxiv.org/pdf/1503.07009","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:europepmc.org:4561443","is_oa":false,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5642307","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"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":"Text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1503.07009","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.07009","pdf_url":"https://arxiv.org/pdf/1503.07009","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W73560095","https://openalex.org/W1660272337","https://openalex.org/W1968771657","https://openalex.org/W1969477331","https://openalex.org/W1970119229","https://openalex.org/W1978079922","https://openalex.org/W1981690041","https://openalex.org/W1989941945","https://openalex.org/W1992487208","https://openalex.org/W1993826062","https://openalex.org/W1995167569","https://openalex.org/W2000114881","https://openalex.org/W2009256892","https://openalex.org/W2010016922","https://openalex.org/W2013596444","https://openalex.org/W2019424969","https://openalex.org/W2020038537","https://openalex.org/W2026476136","https://openalex.org/W2029483703","https://openalex.org/W2031573489","https://openalex.org/W2034401440","https://openalex.org/W2034994414","https://openalex.org/W2037153690","https://openalex.org/W2042321087","https://openalex.org/W2045403370","https://openalex.org/W2047723546","https://openalex.org/W2061279689","https://openalex.org/W2062259223","https://openalex.org/W2069803862","https://openalex.org/W2076314314","https://openalex.org/W2077346271","https://openalex.org/W2082342918","https://openalex.org/W2091464855","https://openalex.org/W2094706142","https://openalex.org/W2097240335","https://openalex.org/W2111271983","https://openalex.org/W2115364696","https://openalex.org/W2118897351","https://openalex.org/W2122087743","https://openalex.org/W2123930065","https://openalex.org/W2132898564","https://openalex.org/W2134219317","https://openalex.org/W2134542242","https://openalex.org/W2134837756","https://openalex.org/W2156426814","https://openalex.org/W2163493106","https://openalex.org/W2164565944","https://openalex.org/W2220638984","https://openalex.org/W2333898191"],"related_works":[],"abstract_inverted_index":{"Subdiffusion":[0],"has":[1],"been":[2],"proposed":[3],"as":[4,72],"an":[5,35,121],"explanation":[6],"of":[7,21,32,46,92,112],"various":[8],"kinetic":[9],"phenomena":[10],"inside":[11],"living":[12],"cells.":[13],"In":[14,58],"order":[15],"to":[16],"fascilitate":[17],"large-scale":[18],"computational":[19,40],"studies":[20],"subdiffusive":[22,95],"chemical":[23,47],"processes,":[24],"we":[25,87],"extend":[26],"a":[27,65,78,106],"recently":[28],"suggested":[29],"mesoscopic":[30,62],"model":[31],"subdiffusion":[33],"into":[34],"accurate":[36],"and":[37,51,84,115,128],"consistent":[38],"reaction-subdiffusion":[39],"framework.":[41],"Two":[42],"different":[43],"possible":[44],"models":[45,63,98],"reaction":[48,117],"are":[49,56],"revealed":[50],"some":[52],"basic":[53],"dynamic":[54],"properties":[55,100],"derived.":[57],"certain":[59],"cases":[60],"those":[61],"have":[64],"direct":[66],"interpretation":[67],"at":[68,129],"the":[69,89,110,113,116,124,132],"macroscopic":[70,90],"level":[71],"fractional":[73],"partial":[74],"differential":[75],"equations":[76],"in":[77,103,120],"bounded":[79],"time":[80,108],"interval.":[81],"Through":[82],"analysis":[83],"numerical":[85],"experiments":[86],"estimate":[88],"effects":[91],"reactions":[93],"under":[94],"mixing.":[96],"The":[97],"display":[99],"observed":[101],"also":[102],"experiments:":[104],"for":[105],"short":[107],"interval":[109,123],"behavior":[111,125,133],"diffusion":[114],"is":[118,126,134],"ordinary,":[119],"intermediate":[122],"anomalous,":[127],"long":[130],"times":[131],"ordinary":[135],"again.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2019-06-27T00:00:00"}