{"id":"https://openalex.org/W2507812725","doi":"https://doi.org/10.1137/16m1065458","title":"A PDE-DDE Model for Cell Polarization in Fission Yeast","display_name":"A PDE-DDE Model for Cell Polarization in Fission Yeast","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2507812725","doi":"https://doi.org/10.1137/16m1065458","mag":"2507812725"},"language":"en","primary_location":{"id":"doi:10.1137/16m1065458","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1065458","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/A5074532635","display_name":"Bin Xu","orcid":"https://orcid.org/0000-0002-0490-9540"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bin Xu","raw_affiliation_strings":["Department of Mathematics, University of Utah, Salt Lake City, UT 84112"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Utah, Salt Lake City, UT 84112","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013056878","display_name":"Paul C. Bressloff","orcid":"https://orcid.org/0000-0002-7714-9853"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul C. Bressloff","raw_affiliation_strings":["Department of Mathematics, University of Utah, Salt Lake City, UT 84112"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Utah, Salt Lake City, UT 84112","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074532635"],"corresponding_institution_ids":["https://openalex.org/I223532165"],"apc_list":null,"apc_paid":null,"fwci":0.8703,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.76737619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"76","issue":"5","first_page":"1844","last_page":"1870"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10497","display_name":"Fungal and yeast genetics research","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10497","display_name":"Fungal and yeast genetics research","score":0.9973999857902527,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9968000054359436,"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"}},{"id":"https://openalex.org/T11764","display_name":"Evolution and Genetic Dynamics","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cdc42","display_name":"CDC42","score":0.5909106135368347},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5906920433044434},{"id":"https://openalex.org/keywords/cytoplasm","display_name":"Cytoplasm","score":0.5753799676895142},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.49339309334754944},{"id":"https://openalex.org/keywords/fission","display_name":"Fission","score":0.46870988607406616},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.4666101336479187},{"id":"https://openalex.org/keywords/yeast","display_name":"Yeast","score":0.43518877029418945},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3809422254562378},{"id":"https://openalex.org/keywords/biophysics","display_name":"Biophysics","score":0.37119850516319275},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.352367639541626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2676653563976288},{"id":"https://openalex.org/keywords/cell","display_name":"Cell","score":0.2487674355506897},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17924952507019043},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.1645394265651703}],"concepts":[{"id":"https://openalex.org/C2780040266","wikidata":"https://www.wikidata.org/wiki/Q15311701","display_name":"CDC42","level":3,"score":0.5909106135368347},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5906920433044434},{"id":"https://openalex.org/C190062978","wikidata":"https://www.wikidata.org/wiki/Q79899","display_name":"Cytoplasm","level":2,"score":0.5753799676895142},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.49339309334754944},{"id":"https://openalex.org/C12294094","wikidata":"https://www.wikidata.org/wiki/Q929080","display_name":"Fission","level":3,"score":0.46870988607406616},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.4666101336479187},{"id":"https://openalex.org/C2779222958","wikidata":"https://www.wikidata.org/wiki/Q45422","display_name":"Yeast","level":2,"score":0.43518877029418945},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3809422254562378},{"id":"https://openalex.org/C12554922","wikidata":"https://www.wikidata.org/wiki/Q7100","display_name":"Biophysics","level":1,"score":0.37119850516319275},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.352367639541626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2676653563976288},{"id":"https://openalex.org/C1491633281","wikidata":"https://www.wikidata.org/wiki/Q7868","display_name":"Cell","level":2,"score":0.2487674355506897},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17924952507019043},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.1645394265651703},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C152568617","wikidata":"https://www.wikidata.org/wiki/Q2348","display_name":"Neutron","level":2,"score":0.0},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/16m1065458","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1065458","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"},{"id":"pmh:oai:spiral.imperial.ac.uk:10044/1/106872","is_oa":false,"landing_page_url":"http://hdl.handle.net/10044/1/106872","pdf_url":null,"source":{"id":"https://openalex.org/S4306401396","display_name":"Spiral (Imperial College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I47508984","host_organization_name":"Imperial College London","host_organization_lineage":["https://openalex.org/I47508984"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"1870","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7025181038","display_name":null,"funder_award_id":"DMS-1120327","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1991325491","https://openalex.org/W2029535120","https://openalex.org/W2030945597","https://openalex.org/W2047588459","https://openalex.org/W2061683828","https://openalex.org/W2068864323","https://openalex.org/W2069846572","https://openalex.org/W2070653053","https://openalex.org/W2076191528","https://openalex.org/W2094269474","https://openalex.org/W2156736509","https://openalex.org/W2188979715","https://openalex.org/W2212463370","https://openalex.org/W2313159296"],"related_works":["https://openalex.org/W2060189946","https://openalex.org/W4234936269","https://openalex.org/W2036703824","https://openalex.org/W189992433","https://openalex.org/W2132057466","https://openalex.org/W2910443949","https://openalex.org/W2184307764","https://openalex.org/W4302362910","https://openalex.org/W185927089","https://openalex.org/W2027350373"],"abstract_inverted_index":{"We":[0,124,175,198,228],"consider":[1],"a":[2,13,40,145,188,205,234],"one-dimensional":[3],"model":[4,22],"of":[5,12,26,42,49,60,76,102,136,147,185,218,249],"cell":[6,51,64,146,225,243,267],"polarization":[7],"in":[8,33,154,251],"fission":[9,252],"yeast":[10],"consisting":[11],"hybrid":[14],"partial":[15],"differential":[16,18,44],"equation--delay":[17],"equation":[19,203],"system.":[20],"The":[21,55,73,269],"describes":[23],"bulk":[24],"diffusion":[25,194,202],"the":[27,34,47,50,58,63,69,77,81,85,98,106,115,134,141,156,168,178,183,193,201,209,213,219,224,231,242,258,266,273,280],"signaling":[28,220],"molecule":[29,221],"Rho":[30],"GTPase":[31],"Cdc42":[32,61],"cytoplasm,":[35],"which":[36,155],"is":[37,109,118,159],"coupled":[38],"to":[39,62,95,132,238,257,262],"pair":[41],"delay":[43,181],"equations":[45],"at":[46,90,140,161,171],"ends":[48,163],"via":[52,71,187],"boundary":[53],"conditions.":[54],"latter":[56,255],"represent":[57],"binding":[59,86],"membrane":[65,100],"and":[66,87,114,129,164,279],"rerelease":[67],"into":[68],"cytoplasm":[70],"unbinding.":[72],"nontrivial":[74],"nature":[75],"dynamics":[78],"arises":[79],"from":[80,236,260],"fact":[82],"that":[83,177,212,230],"both":[84,162],"unbinding":[88],"rates":[89],"each":[91],"end":[92,142,173],"are":[93],"taken":[94],"depend":[96],"on":[97,204,277],"local":[99],"concentration":[101,158,170],"Cdc42.":[103],"In":[104],"particular,":[105],"association":[107],"rate":[108,117],"regulated":[110,119],"by":[111,120],"positive":[112],"feedback":[113],"dissociation":[116],"delayed":[121],"negative":[122],"feedback.":[123],"use":[125],"linear":[126],"stability":[127],"analysis":[128],"numerical":[130],"simulations":[131],"investigate":[133],"onset":[135,184],"limit":[137],"cycle":[138],"oscillations":[139,186,240],"compartments":[143],"for":[144,182],"fixed":[148],"length,":[149],"distinguishing":[150],"between":[151],"symmetric":[152,239],"solutions":[153,166],"mean":[157,169],"identical":[160],"asymmetric":[165,237],"where":[167,272],"one":[172],"dominates.":[174],"find":[176],"critical":[179,270],"time":[180],"Hopf":[189],"bifurcation":[190],"increases":[191,222],"as":[192,223,241,265],"coefficient":[195],"$D$":[196,278],"decreases.":[197],"then":[199],"solve":[200],"growing":[206],"domain":[207],"under":[208],"additional":[210],"assumption":[211],"total":[214],"amount":[215],"$C_{\\rm":[216],"tot}$":[217],"length":[226,271],"increases.":[227],"show":[229],"system":[232],"undergoes":[233],"transition":[235],"grows,":[244],"consistent":[245],"with":[246],"experimental":[247],"findings":[248],"\u201cnew-end-take-off\u201d":[250],"yeast.":[253],"(The":[254],"refers":[256],"switch":[259,274],"monopolar":[261],"bipolar":[263],"growth":[264,281],"grows.)":[268],"occurs":[275],"depends":[276],"rate.":[282]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}