{"id":"https://openalex.org/W7215848907","doi":"https://doi.org/10.64898/2026.09.28.754880","title":"e \u22122 Threshold for Bistability in Non-equilibrium Sorting of Biomolecular Condensates","display_name":"e \u22122 Threshold for Bistability in Non-equilibrium Sorting of Biomolecular Condensates","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7215848907","doi":"https://doi.org/10.64898/2026.09.28.754880"},"language":"en","primary_location":{"id":"doi:10.64898/2026.09.28.754880","doi":"https://doi.org/10.64898/2026.09.28.754880","is_oa":true,"landing_page_url":"https://doi.org/10.64898/2026.09.28.754880","pdf_url":"https://www.biorxiv.org/content/biorxiv/early/2026/10/02/2026.09.28.754880.full.pdf","source":{"id":"https://openalex.org/S4306402567","display_name":"bioRxiv (Cold Spring Harbor Laboratory)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2750212522","host_organization_name":"Cold Spring Harbor Laboratory","host_organization_lineage":["https://openalex.org/I2750212522"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"bioRxiv","raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.biorxiv.org/content/biorxiv/early/2026/10/02/2026.09.28.754880.full.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Weifeng Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I37574244","display_name":"Sichuan Agricultural University","ror":"https://ror.org/0388c3403","country_code":"CN","type":"education","lineage":["https://openalex.org/I37574244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weifeng Chen","raw_affiliation_strings":["College of Life Sciences, Sichuan Agricultural University, Ya\u2019an 625014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Life Sciences, Sichuan Agricultural University, Ya\u2019an 625014, China","institution_ids":["https://openalex.org/I37574244"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5153210483","display_name":"Shiyuan Pei","orcid":"https://orcid.org/0009-0004-6454-3255","observed_orcids":["https://orcid.org/0009-0004-6454-3255"]},"institutions":[{"id":"https://openalex.org/I37574244","display_name":"Sichuan Agricultural University","ror":"https://ror.org/0388c3403","country_code":"CN","type":"education","lineage":["https://openalex.org/I37574244"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiyuan Pei","raw_affiliation_strings":["College of Life Sciences, Sichuan Agricultural University, Ya\u2019an 625014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Life Sciences, Sichuan Agricultural University, Ya\u2019an 625014, China","institution_ids":["https://openalex.org/I37574244"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102584539","display_name":"Guozhi Yu","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I37574244","display_name":"Sichuan Agricultural University","ror":"https://ror.org/0388c3403","country_code":"CN","type":"education","lineage":["https://openalex.org/I37574244"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guozhi Yu","raw_affiliation_strings":["College of Life Sciences, Sichuan Agricultural University, Ya\u2019an 625014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Life Sciences, Sichuan Agricultural University, Ya\u2019an 625014, China","institution_ids":["https://openalex.org/I37574244"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102584539"],"corresponding_institution_ids":["https://openalex.org/I37574244"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10934","display_name":"Heat shock proteins research","score":0.6449999809265137,"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/T10934","display_name":"Heat shock proteins research","score":0.6449999809265137,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.07360000163316727,"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":0.029200000688433647,"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/biomolecular-condensates","display_name":"biomolecular condensates","score":0.9890000224113464},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"saddle-node bifurcation","score":0.8180000185966492},{"id":"https://openalex.org/keywords/damkohler-number","display_name":"Damk\u00f6hler number","score":0.8619999885559082},{"id":"https://openalex.org/keywords/reaction-diffusion-dynamics","display_name":"reaction-diffusion dynamics","score":0.7749999761581421},{"id":"https://openalex.org/keywords/critical-slowing-down","display_name":"critical slowing down","score":0.9449999928474426},{"id":"https://openalex.org/keywords/fluorescence-correlation-spectroscopy","display_name":"fluorescence correlation spectroscopy","score":0.753000020980835},{"id":"https://openalex.org/keywords/frap-assay","display_name":"FRAP","score":0.824999988079071},{"id":"https://openalex.org/keywords/phase-separation","display_name":"phase separation","score":0.5730000138282776}],"concepts":[{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.6743999719619751},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6599000096321106},{"id":"https://openalex.org/C97292510","wikidata":"https://www.wikidata.org/wiki/Q2304620","display_name":"Bistability","level":2,"score":0.6425999999046326},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5796999931335449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5284000039100647},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.5277000069618225},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.42910000681877136},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.4275999963283539},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.3912000060081482},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3889000117778778},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3815000057220459},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.36230000853538513},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3476000130176544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3149000108242035},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.3116999864578247},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3084999918937683},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.3052000105381012},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.30410000681877136},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.28630000352859497},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.26759999990463257},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.26030001044273376},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C192552737","wikidata":"https://www.wikidata.org/wiki/Q898797","display_name":"Partition coefficient","level":2,"score":0.251800000667572},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.64898/2026.09.28.754880","doi":"https://doi.org/10.64898/2026.09.28.754880","is_oa":true,"landing_page_url":"https://doi.org/10.64898/2026.09.28.754880","pdf_url":"https://www.biorxiv.org/content/biorxiv/early/2026/10/02/2026.09.28.754880.full.pdf","source":{"id":"https://openalex.org/S4306402567","display_name":"bioRxiv (Cold Spring Harbor Laboratory)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2750212522","host_organization_name":"Cold Spring Harbor Laboratory","host_organization_lineage":["https://openalex.org/I2750212522"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"bioRxiv","raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.64898/2026.09.28.754880","doi":"https://doi.org/10.64898/2026.09.28.754880","is_oa":true,"landing_page_url":"https://doi.org/10.64898/2026.09.28.754880","pdf_url":"https://www.biorxiv.org/content/biorxiv/early/2026/10/02/2026.09.28.754880.full.pdf","source":{"id":"https://openalex.org/S4306402567","display_name":"bioRxiv (Cold Spring Harbor Laboratory)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2750212522","host_organization_name":"Cold Spring Harbor Laboratory","host_organization_lineage":["https://openalex.org/I2750212522"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"bioRxiv","raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7215848907.pdf","grobid_xml":"https://content.openalex.org/works/W7215848907.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2037688024","https://openalex.org/W7164138053","https://openalex.org/W6931934836","https://openalex.org/W7127655771","https://openalex.org/W7163173921","https://openalex.org/W7202295565","https://openalex.org/W6931701188","https://openalex.org/W3043467755","https://openalex.org/W4313257028","https://openalex.org/W4408372590"],"abstract_inverted_index":{"Cells":[0],"use":[1],"ATP-driven":[2],"chaperones":[3],"to":[4,18,35],"extract":[5],"clients":[6],"from":[7],"biomolecular":[8],"condensates":[9],"selectively,":[10],"yet":[11],"no":[12],"closed-form":[13],"criterion":[14],"links":[15],"molecular":[16],"parameters":[17],"condensate":[19],"quality":[20],"control.":[21],"We":[22],"derive":[23],"a":[24,44,49,88],"minimal":[25],"non-equilibrium":[26],"sorting":[27],"reactor":[28],"model":[29,86],"that":[30,95],"reduces":[31],"the":[32,40,74,79,83,105],"reaction-diffusion":[33],"dynamics":[34],"one":[36],"algebraic":[37],"equation.":[38],"In":[39],"idealized":[41],"low-load":[42],"limit,":[43],"concentration-dependent":[45],"partition":[46],"coefficient":[47],"produces":[48],"saddle-node":[50],"bifurcation":[51,106],"between":[52],"functional":[53,90],"clearance":[54],"and":[55,70,92,112],"pathological":[56],"storage.":[57],"The":[58,85],"critical":[59],"Damk\u00f6hler":[60],"number":[61],"is":[62,71],"Da":[63],"0":[64],"c":[65],"=":[66],"e":[67],"\u2212":[68],"2":[69],"independent":[72],"of":[73],"feedback":[75],"strength.":[76],"Corrections":[77],"shift":[78],"value":[80],"but":[81],"preserve":[82],"topology.":[84],"predicts":[87],"Kramers-type":[89],"lifetime":[91],"recovery":[93],"costs":[94],"scale":[96],"as":[97],"R":[98],"3":[99],".":[100],"Critical":[101],"slowing":[102],"down":[103],"near":[104],"provides":[107],"early-warning":[108],"signatures":[109],"for":[110],"FCS":[111],"FRAP.":[113]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-10-03T00:00:00"}
