{"id":"https://openalex.org/W3003838742","doi":"https://doi.org/10.1137/18m1227421","title":"Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion","display_name":"Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3003838742","doi":"https://doi.org/10.1137/18m1227421","mag":"3003838742"},"language":"en","primary_location":{"id":"doi:10.1137/18m1227421","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1227421","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","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/A5108256376","display_name":"Messoud Efendiev","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Messoud A. Efendiev","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053883774","display_name":"Mitsuharu \u00d4tani","orcid":"https://orcid.org/0000-0002-4784-6236"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mitsuharu Otani","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5075835719","display_name":"Hermann J. Eberl","orcid":"https://orcid.org/0000-0001-5558-0872"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hermann J. Eberl","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108256376"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9304,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.72429668,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"52","issue":"1","first_page":"543","last_page":"569"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9923999905586243,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9923999905586243,"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":0.991599977016449,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9715999960899353,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/swelling","display_name":"Swelling","score":0.8514759540557861},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7759846448898315},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.676183819770813},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6751512289047241},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.6316986083984375},{"id":"https://openalex.org/keywords/calcium","display_name":"Calcium","score":0.6112983226776123},{"id":"https://openalex.org/keywords/ion","display_name":"Ion","score":0.4654088318347931},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.44039615988731384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4396350383758545},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.41890421509742737},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39382365345954895},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.30884456634521484},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27241021394729614},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.2466733455657959},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2401886284351349},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.07958972454071045}],"concepts":[{"id":"https://openalex.org/C2778540859","wikidata":"https://www.wikidata.org/wiki/Q152234","display_name":"Swelling","level":2,"score":0.8514759540557861},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7759846448898315},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.676183819770813},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6751512289047241},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.6316986083984375},{"id":"https://openalex.org/C519063684","wikidata":"https://www.wikidata.org/wiki/Q706","display_name":"Calcium","level":2,"score":0.6112983226776123},{"id":"https://openalex.org/C145148216","wikidata":"https://www.wikidata.org/wiki/Q36496","display_name":"Ion","level":2,"score":0.4654088318347931},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.44039615988731384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4396350383758545},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.41890421509742737},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39382365345954895},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.30884456634521484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27241021394729614},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2466733455657959},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2401886284351349},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.07958972454071045},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m1227421","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1227421","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"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 Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:push-zb.helmholtz-munich.de:59070","is_oa":false,"landing_page_url":"https://push-zb.helmholtz-munich.de/frontdoor.php?source_opus=59070","pdf_url":null,"source":{"id":"https://openalex.org/S7407055352","display_name":"PuSH - Publication Server of Helmholtz Zentrum M\u00fcnchen","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM J. Math. Anal. 52, 543-569 (2020)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2928937601","display_name":null,"funder_award_id":"18K03382","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G4234382712","display_name":null,"funder_award_id":"15K13451","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1973359775","https://openalex.org/W2019655782","https://openalex.org/W2085713178","https://openalex.org/W2328707731","https://openalex.org/W2594164725","https://openalex.org/W2606693186","https://openalex.org/W2615697992","https://openalex.org/W2789396960","https://openalex.org/W3168272843"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W2048742619","https://openalex.org/W2371502604","https://openalex.org/W2384641672","https://openalex.org/W2742179975"],"abstract_inverted_index":{"The":[0],"model":[1,78,93],"that":[2,62],"we":[3],"investigate":[4],"here":[5],"is":[6,22],"motivated":[7],"by":[8,14,24],"the":[9,17,29,32,73,76,84,99,111,126,130,135,145],"mitochondrial":[10],"swelling":[11,71,86,149],"process":[12],"controlled":[13],"calcium":[15,104,131],"ions,":[16],"spatial":[18],"dynamics":[19],"of":[20,35,43,53],"which":[21],"described":[23],"degenerate":[25],"diffusion.":[26,96],"We":[27,60],"analyze":[28],"well-posedness":[30],"and":[31,48,51,57],"long-term":[33],"behavior":[34],"this":[36],"PDE-ODE":[37],"coupled":[38],"system":[39],"using":[40],"a":[41,92],"combination":[42],"variational":[44],"methods":[45],"with":[46,94],"super-":[47],"subsolution":[49],"arguments":[50],"properties":[52],"sublinear":[54],"elliptic":[55],"equations,":[56],"Lusin's":[58],"theorem.":[59],"find":[61],"in":[63,72,110,144],"order":[64],"to":[65,68],"be":[66,118],"able":[67],"capture":[69],"partial":[70],"long":[74,112],"term":[75,113],"new":[77],"requires":[79],"fewer":[80],"structural":[81],"assumptions":[82],"on":[83],"nonlinear":[85,100,136],"rates":[87],"than":[88],"were":[89],"required":[90],"for":[91,103],"linear":[95],"Furthermore,":[97],"if":[98,129],"diffusion":[101,137],"effects":[102],"ions":[105],"dominate":[106],"over":[107],"their":[108],"production,":[109],"all":[114],"mitochondria":[115],"will":[116,141],"either":[117],"still":[119],"intact":[120],"or":[121],"have":[122],"completed":[123],"swelling.":[124],"On":[125],"other":[127],"hand,":[128],"ion":[132],"production":[133],"dominates":[134],"effects,":[138],"some":[139],"mitochodria":[140],"also":[142],"remain":[143],"intermediate":[146],"state":[147],"where":[148],"has":[150],"been":[151],"initiated":[152],"but":[153],"not":[154],"completed.":[155]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}