{"id":"https://openalex.org/W7213398806","doi":"https://doi.org/10.3390/biom16111585","title":"Molecular Decomposition of the Area Compressibility Modulus of Lipid Membranes","display_name":"Molecular Decomposition of the Area Compressibility Modulus of Lipid Membranes","publication_year":2026,"publication_date":"2026-11-01","ids":{"openalex":"https://openalex.org/W7213398806","doi":"https://doi.org/10.3390/biom16111585"},"language":"en","primary_location":{"id":"doi:10.3390/biom16111585","doi":"https://doi.org/10.3390/biom16111585","is_oa":true,"landing_page_url":"https://doi.org/10.3390/biom16111585","pdf_url":null,"source":{"id":"https://openalex.org/S4210236520","display_name":"Biomolecules","issn_l":"2218-273X","issn":["2218-273X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biomolecules","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/biom16111585","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046545725","display_name":"Konstantin V. Pinigin","orcid":"https://orcid.org/0000-0001-5123-7786","observed_orcids":["https://orcid.org/0000-0001-5123-7786"]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210085913","display_name":"Frumkin Institute of Physical Chemistry and Electrochemistry Russian Academy of Sciences","ror":"https://ror.org/004dzkd51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210085913","https://openalex.org/I4210145551"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Konstantin V. Pinigin","raw_affiliation_strings":["Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, 31-4, Leninsky prospect, 119071 Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0001-5123-7786","affiliations":[{"raw_affiliation_string":"Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, 31-4, Leninsky prospect, 119071 Moscow, Russia","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210085913"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046545725"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210085913"],"apc_list":{"value":2700,"currency":"CHF","value_usd":3258},"apc_paid":{"value":2700,"currency":"CHF","value_usd":3258},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.56266135,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"11","first_page":"1585","last_page":"1585"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10407","display_name":"Lipid Membrane Structure and Behavior","score":1.0,"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/T10407","display_name":"Lipid Membrane Structure and Behavior","score":1.0,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.0,"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/T12044","display_name":"Advanced Physical and Chemical Molecular Interactions","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/area-compressibility-modulus","display_name":"area compressibility modulus","score":0.9750000238418579},{"id":"https://openalex.org/keywords/popc-bilayer","display_name":"POPC bilayer","score":0.9020000100135803},{"id":"https://openalex.org/keywords/membrane-elasticity","display_name":"membrane elasticity","score":0.5040000081062317},{"id":"https://openalex.org/keywords/martini-3-force-field","display_name":"Martini 3 force field","score":0.8270000219345093},{"id":"https://openalex.org/keywords/membrane-stiffness","display_name":"membrane rigidity","score":0.38199999928474426}],"concepts":[{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7631000280380249},{"id":"https://openalex.org/C85145957","wikidata":"https://www.wikidata.org/wiki/Q12246850","display_name":"Lipid bilayer mechanics","level":5,"score":0.6146000027656555},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.5870000123977661},{"id":"https://openalex.org/C39944091","wikidata":"https://www.wikidata.org/wiki/Q423279","display_name":"Lipid bilayer","level":3,"score":0.5849999785423279},{"id":"https://openalex.org/C192157962","wikidata":"https://www.wikidata.org/wiki/Q4087243","display_name":"Bilayer","level":3,"score":0.5817999839782715},{"id":"https://openalex.org/C43486711","wikidata":"https://www.wikidata.org/wiki/Q192005","display_name":"Elastic modulus","level":2,"score":0.5697000026702881},{"id":"https://openalex.org/C41625074","wikidata":"https://www.wikidata.org/wiki/Q176088","display_name":"Membrane","level":2,"score":0.5663999915122986},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5478000044822693},{"id":"https://openalex.org/C94406020","wikidata":"https://www.wikidata.org/wiki/Q900371","display_name":"Bulk modulus","level":2,"score":0.5180000066757202},{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.5008000135421753},{"id":"https://openalex.org/C59593255","wikidata":"https://www.wikidata.org/wiki/Q901663","display_name":"Molecular dynamics","level":2,"score":0.4787999987602234},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.44350001215934753},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.4424000084400177},{"id":"https://openalex.org/C2780943371","wikidata":"https://www.wikidata.org/wiki/Q10860475","display_name":"POPC","level":4,"score":0.424699991941452},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.4023999869823456},{"id":"https://openalex.org/C10803110","wikidata":"https://www.wikidata.org/wiki/Q1341441","display_name":"Force field (fiction)","level":2,"score":0.37779998779296875},{"id":"https://openalex.org/C196029304","wikidata":"https://www.wikidata.org/wiki/Q2091584","display_name":"Young's modulus","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.3596999943256378},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.34779998660087585},{"id":"https://openalex.org/C76564549","wikidata":"https://www.wikidata.org/wiki/Q17154515","display_name":"Lipid bilayer phase behavior","level":4,"score":0.30809998512268066},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.27320000529289246},{"id":"https://openalex.org/C126061179","wikidata":"https://www.wikidata.org/wiki/Q189627","display_name":"van der Waals force","level":3,"score":0.26409998536109924},{"id":"https://openalex.org/C147597530","wikidata":"https://www.wikidata.org/wiki/Q369472","display_name":"Computational chemistry","level":1,"score":0.26159998774528503},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.2612999975681305},{"id":"https://openalex.org/C2777207669","wikidata":"https://www.wikidata.org/wiki/Q43648","display_name":"Hydrocarbon","level":2,"score":0.2567000091075897},{"id":"https://openalex.org/C202974441","wikidata":"https://www.wikidata.org/wiki/Q2576844","display_name":"Stress relaxation","level":3,"score":0.2535000145435333},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.25049999356269836},{"id":"https://openalex.org/C166950319","wikidata":"https://www.wikidata.org/wiki/Q245031","display_name":"Intermolecular force","level":3,"score":0.25049999356269836}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/biom16111585","doi":"https://doi.org/10.3390/biom16111585","is_oa":true,"landing_page_url":"https://doi.org/10.3390/biom16111585","pdf_url":null,"source":{"id":"https://openalex.org/S4210236520","display_name":"Biomolecules","issn_l":"2218-273X","issn":["2218-273X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biomolecules","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2609.17514","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17514","pdf_url":"https://arxiv.org/pdf/2609.17514","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2609.17514","doi":"https://doi.org/10.48550/arxiv.2609.17514","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.17514","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.3390/biom16111585","doi":"https://doi.org/10.3390/biom16111585","is_oa":true,"landing_page_url":"https://doi.org/10.3390/biom16111585","pdf_url":null,"source":{"id":"https://openalex.org/S4210236520","display_name":"Biomolecules","issn_l":"2218-273X","issn":["2218-273X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","medline","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Biomolecules","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327494","display_name":"Ministry of Science and Higher Education of the Russian Federation","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213398806.pdf","grobid_xml":"https://content.openalex.org/works/W7213398806.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2584909185","https://openalex.org/W2002924341","https://openalex.org/W7123579111","https://openalex.org/W4414559157","https://openalex.org/W2155816463","https://openalex.org/W1971976500","https://openalex.org/W1486869057","https://openalex.org/W4232772234","https://openalex.org/W1994215475","https://openalex.org/W2005638969"],"abstract_inverted_index":{"The":[0,159],"area":[1,53,73,91,197],"compressibility":[2,54,92],"modulus":[3,26,55],"is":[4],"a":[5,33,191],"key":[6],"descriptor":[7],"of":[8,32,71,105,128,145,155,161,168,194],"lipid":[9,195],"membrane":[10,72,186],"mechanics,":[11],"but":[12,131],"the":[13,24,38,52,79,86,90,97,106,120,122,146,156,174],"molecular":[14,29,59],"interactions":[15,111,140,175],"that":[16,167,173],"determine":[17],"this":[18],"elasticity":[19],"are":[20,181],"not":[21,182],"evident":[22],"from":[23,58,166],"total":[25,107,147],"alone.":[27],"Here,":[28],"dynamics":[30],"simulations":[31],"POPC":[34],"bilayer":[35,196],"described":[36],"by":[37],"coarse-grained":[39],"Martini":[40],"3":[41],"force":[42],"field":[43],"were":[44,67,82,127],"combined":[45],"with":[46],"virial":[47],"stress":[48,179],"analysis":[49],"to":[50,84,89],"decompose":[51],"into":[56],"contributions":[57,88,126,163],"groups":[60],"and":[61,75,124,135],"their":[62,76],"interactions.":[63,118],"Partial":[64],"lateral":[65],"tensions":[66],"evaluated":[68],"as":[69],"functions":[70],"strain,":[74],"derivatives":[77],"at":[78],"equilibrium":[80,169],"state":[81],"used":[83],"obtain":[85],"corresponding":[87],"modulus.":[93],"Hydrocarbon":[94],"chains":[95],"provided":[96],"dominant":[98],"positive":[99],"contribution,":[100],"accounting":[101],"for":[102,177],"approximately":[103,113],"70%":[104],"modulus,":[108,148],"whereas":[109],"water\u2013lipid":[110],"contributed":[112,141],"30%,":[114],"predominantly":[115],"through":[116],"water\u2013headgroup":[117],"Within":[119],"bilayer,":[121],"headgroup":[123],"headgroup\u2013chain":[125],"similar":[129],"magnitude":[130],"opposite":[132],"in":[133],"sign":[134],"nearly":[136],"canceled.":[137],"Direct":[138],"intermonolayer":[139],"only":[142],"about":[143],"2%":[144],"indicating":[149],"an":[150],"almost":[151],"additive":[152],"elastic":[153,162],"response":[154],"two":[157],"monolayers.":[158],"hierarchy":[160],"differed":[164],"markedly":[165],"partial":[170],"tensions,":[171],"showing":[172],"responsible":[176],"static":[178],"balance":[180],"necessarily":[183],"those":[184],"governing":[185],"stiffness.":[187],"This":[188],"decomposition":[189],"provides":[190],"microscopic":[192],"interpretation":[193],"elasticity.":[198]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-09-17T00:00:00"}