{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T15:20:40Z","timestamp":1786980040548,"version":"3.56.0"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T00:00:00Z","timestamp":1681084800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T00:00:00Z","timestamp":1681084800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s00366-023-01813-y","type":"journal-article","created":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T04:03:03Z","timestamp":1681099383000},"page":"661-675","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Data-driven multiscale finite-element method using deep neural network combined with proper orthogonal decomposition"],"prefix":"10.1007","volume":"40","author":[{"given":"Suhan","family":"Kim","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hyunseong","family":"Shin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,4,10]]},"reference":[{"issue":"7","key":"1813_CR1","doi-asserted-by":"crossref","first-page":"1763","DOI":"10.1039\/C4CS00348A","volume":"44","author":"CY Yam","year":"2015","unstructured":"Yam CY, Meng L, Zhang Y, Chen GH (2015) A multiscale quantum mechanics\/electromagnetics method for device simulations. Chem Soc Rev 44(7):1763\u20131776","journal-title":"Chem Soc Rev"},{"issue":"10","key":"1813_CR2","doi-asserted-by":"crossref","first-page":"4934","DOI":"10.1021\/acs.jctc.6b00663","volume":"12","author":"L Shen","year":"2016","unstructured":"Shen L, Wu J, Yang W (2016) Multiscale quantum mechanics\/molecular mechanics simulations with neural networks. J Chem Theory Comput 12(10):4934\u20134946","journal-title":"J Chem Theory Comput"},{"key":"1813_CR3","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.polymer.2016.02.041","volume":"89","author":"J Choi","year":"2016","unstructured":"Choi J, Shin H, Cho M (2016) A multiscale mechanical model for the effective interphase of SWNT\/epoxy nanocomposite. Polymer 89:159\u2013171","journal-title":"Polymer"},{"issue":"7","key":"1813_CR4","doi-asserted-by":"crossref","first-page":"2469","DOI":"10.1021\/jp044629q","volume":"109","author":"S Izvekov","year":"2005","unstructured":"Izvekov S, Voth GA (2005) A multiscale coarse-graining method for biomolecular systems. J Phys Chem B 109(7):2469\u20132473","journal-title":"J Phys Chem B"},{"issue":"24","key":"1813_CR5","volume":"128","author":"WG Noid","year":"2008","unstructured":"Noid WG, Chu JW et al (2008) The multiscale coarse-graining method. I. A rigorous bridge between atomistic and coarse-grained models. J Chem Phys 128(24):244114","journal-title":"J Chem Phys"},{"issue":"31-34","key":"1813_CR6","doi-asserted-by":"crossref","first-page":"3475","DOI":"10.1080\/14786430310001607388","volume":"83","author":"NM Ghoniem","year":"2003","unstructured":"Ghoniem NM, Busso EP, Kioussis N et al (2003) Multiscale modelling of nanomechanics and micromechanics: an overview. Philos Mag 83(31\u201334):3475\u20133528","journal-title":"Philos Mag"},{"issue":"4","key":"1813_CR7","doi-asserted-by":"crossref","first-page":"1391","DOI":"10.1007\/s00707-013-1057-1","volume":"225","author":"D Zhang","year":"2014","unstructured":"Zhang D, Waas AM (2014) A micromechanics based multiscale model for nonlinear composites. Acta Mech 225(4):1391\u20131417","journal-title":"Acta Mech"},{"key":"1813_CR8","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1016\/j.polymer.2004.11.022","volume":"46","author":"GM Odegard","year":"2005","unstructured":"Odegard GM, Clancy TC, Gates TS (2005) Modeling of the mechanical properties of nanoparticle\/polymer composites. Polymer 46:553\u2013562","journal-title":"Polymer"},{"key":"1813_CR9","volume":"93","author":"S Yang","year":"2008","unstructured":"Yang S, Cho M (2008) Scale bridging method to characterize mechanical properties of nanoparticle\/polymer nanocomposites. Appl Phys Lett 93:043111","journal-title":"Appl Phys Lett"},{"key":"1813_CR10","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1016\/j.polymer.2008.11.054","volume":"50","author":"S Yu","year":"2009","unstructured":"Yu S, Yang S, Cho M (2009) Multi-scale modeling of cross-linked epoxy nanocomposites. Polymer 50:945\u2013952","journal-title":"Polymer"},{"key":"1813_CR11","doi-asserted-by":"crossref","first-page":"5197","DOI":"10.1016\/j.polymer.2011.09.019","volume":"52","author":"J Choi","year":"2011","unstructured":"Choi J, Yu S, Yang S, Cho M (2011) The glass transition and thermoelastic behavior of epoxy based nanocomposites: a molecular dynamics study. Polymer 52:5197\u20135203","journal-title":"Polymer"},{"key":"1813_CR12","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/j.compstruct.2014.09.014","volume":"119","author":"J Choi","year":"2015","unstructured":"Choi J, Shin H, Yang S, Cho M (2015) The influence of nanoparticle size on the mechanical properties of polymer nanocomposites and the associated interphase region: a multiscale approach. Compos Struct 119:365\u2013376","journal-title":"Compos Struct"},{"key":"1813_CR13","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.compositesa.2013.01.006","volume":"48","author":"H Shin","year":"2013","unstructured":"Shin H, Cho M (2013) Multiscale model to predict fatigue crack propagation behavior of thermoset polymeric nanocomposites. Compos Part A Appl Sci Manuf 48:144\u2013152","journal-title":"Compos Part A Appl Sci Manuf"},{"key":"1813_CR14","doi-asserted-by":"crossref","first-page":"1683","DOI":"10.1016\/j.compscitech.2012.07.010","volume":"72","author":"M Zappalorto","year":"2012","unstructured":"Zappalorto M, Salviato M, Quaresimin M (2012) A multiscale model to describe nano-composite fracture toughness enhancement by the plastic yielding of nanovoids. Compos Sci Technol 72:1683\u20131691","journal-title":"Compos Sci Technol"},{"key":"1813_CR15","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.compositesa.2013.01.006","volume":"48","author":"M Salviato","year":"2013","unstructured":"Salviato M, Zappalorto M, Quaresimin M (2013) Plastic shear bands and fracture toughness improvements of nanoparticle filled polymers: a multiscale analytical model. Compos Part A Appl Sci Manuf 48:144\u2013152","journal-title":"Compos Part A Appl Sci Manuf"},{"key":"1813_CR16","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.compscitech.2013.11.015","volume":"91","author":"M Quaresimin","year":"2014","unstructured":"Quaresimin M, Salviato M, Zappalorto M (2014) A multi-scale and multi-mechanism approach for the fracture toughness assessment of polymer nanocomposites. Compos Sci Technol 91:16\u201321","journal-title":"Compos Sci Technol"},{"key":"1813_CR17","doi-asserted-by":"crossref","first-page":"4792","DOI":"10.1021\/am301144z","volume":"4","author":"S Yang","year":"2012","unstructured":"Yang S, Choi J, Cho M (2012) Elastic stiffness and filler size effect of covalently grafted nanosilica polyimide composites: molecular dynamics study. ACS Appl Mater Interfaces 4:4792\u20134799","journal-title":"ACS Appl Mater Interfaces"},{"key":"1813_CR18","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.compscitech.2019.03.015","volume":"175","author":"H Shin","year":"2019","unstructured":"Shin H, Choi J, Cho M (2019) An efficient multiscale homogenization modeling approach to describe hyperelastic behavior of polymer nanocomposites. Compos Sci Technol 175:128\u2013134","journal-title":"Compos Sci Technol"},{"key":"1813_CR19","doi-asserted-by":"crossref","DOI":"10.1016\/j.engfracmech.2022.108261","volume":"261","author":"H Wang","year":"2022","unstructured":"Wang H, Shin H (2022) Influence of nanoparticulate diameter on fracture toughness improvement of polymer nanocomposites by a nanoparticle debonding mechanism: a multiscale study. Eng Fract Mech 261:108261","journal-title":"Eng Fract Mech"},{"key":"1813_CR20","doi-asserted-by":"crossref","DOI":"10.1016\/j.compstruct.2021.114236","volume":"272","author":"H Shin","year":"2021","unstructured":"Shin H (2021) Multiscale model to predict fracture toughness of CNT\/epoxy nanocomposites. Compos Struct 272:114236","journal-title":"Compos Struct"},{"issue":"7","key":"1813_CR21","doi-asserted-by":"crossref","first-page":"2175","DOI":"10.1016\/j.cam.2009.08.077","volume":"234","author":"MGD Geers","year":"2010","unstructured":"Geers MGD, Kouznetsova VG, Brekelmans W (2010) Multi-scale computational homogenization: Trends and challenges. J Comput Appl Math 234(7):2175\u20132182","journal-title":"J Comput Appl Math"},{"key":"1813_CR22","doi-asserted-by":"crossref","first-page":"5427","DOI":"10.1016\/S0045-7825(01)00179-7","volume":"190","author":"K Terada","year":"2001","unstructured":"Terada K, Kikuchi N (2001) A class of general algorithms for multi-scale analyses of heterogeneous media. Comput Methods Appl Mech Eng 190:5427\u20135464","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1813_CR23","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1016\/j.compstruc.2004.01.004","volume":"82","author":"K Matsui","year":"2004","unstructured":"Matsui K, Terada K, Yuge K (2004) Two-scale finite element analysis of heterogeneous solids with periodic microstructures. Comput Struct 82:593\u2013606","journal-title":"Comput Struct"},{"key":"1813_CR24","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/0045-7825(90)90148-F","volume":"83","author":"JM Guedes","year":"1990","unstructured":"Guedes JM, Kikuchi N (1990) Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Comput Methods Appl Mech Eng 83:143\u2013198","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1813_CR25","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/s00466-002-0334-y","volume":"29","author":"Q Yu","year":"2002","unstructured":"Yu Q, Fish J (2002) Temporal homogenization of viscoelastic and viscoplastic solids subjected to locally periodic loading. Comput Mech 29:199\u2013211","journal-title":"Comput Mech"},{"key":"1813_CR26","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1016\/j.cma.2018.11.014","volume":"345","author":"IBCM Rocha","year":"2019","unstructured":"Rocha IBCM, van der Meer FP, Sluys LJ (2019) Efficient micromechanical analysis of fiber-reinforced composites subjected to cyclic loading through time homogenization and reduced-order modeling. Comput Methods Appl Mech Eng 345:644\u2013670","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1813_CR27","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/j.ijplas.2015.03.005","volume":"70","author":"S Haouala","year":"2015","unstructured":"Haouala S, Doghri I (2015) Modeling and algorithms for two-scale time homogenization of viscoelastic-viscoplastic solids under large numbers of cycles. Int J Plast 70:98\u2013125","journal-title":"Int J Plast"},{"key":"1813_CR28","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1002\/nme.1069","volume":"61","author":"C Oskay","year":"2004","unstructured":"Oskay C, Fish J (2004) Fatigue life prediction using 2-scale temporal asymptotic homogenization. Int J Numer Methods Eng 61:329\u2013359","journal-title":"Int J Numer Methods Eng"},{"key":"1813_CR29","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1115\/1.1357165","volume":"68","author":"W Chen","year":"2001","unstructured":"Chen W, Fish J (2001) A dispersive model for wave propagation in periodic composites based on homogenization with multiple spatial and temporal scales. J Appl Mech 68:153\u2013161","journal-title":"J Appl Mech"},{"key":"1813_CR30","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ijsolstr.2020.03.026","volume":"196","author":"H Shin","year":"2020","unstructured":"Shin H (2020) Temporal homogenization formulation on general linear viscoelastic materials subjected to locally periodic loading. Int J Solids Struct 196:1\u20139","journal-title":"Int J Solids Struct"},{"key":"1813_CR31","doi-asserted-by":"crossref","first-page":"2975","DOI":"10.3390\/ma14112975","volume":"14","author":"X Lu","year":"2021","unstructured":"Lu X, Yvonnet J, Papadopoulos L, Kalogeris I, Papadopoulos V (2021) A stochastic FE2 data-driven method for nonlinear multiscale modeling. Materials 14:2975","journal-title":"Materials"},{"key":"1813_CR32","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1016\/S0927-0256(99)00077-4","volume":"16","author":"F Feyel","year":"1999","unstructured":"Feyel F (1999) Multiscale FE2 elastoviscoplastic analysis of composite structure. Comput Mater Sci 16:433\u2013454","journal-title":"Comput Mater Sci"},{"key":"1813_CR33","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/S0045-7825(99)00224-8","volume":"183","author":"F Feyel","year":"2000","unstructured":"Feyel F, Chaboche JL (2000) FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC\/Ti composite materials. Comput Methods Appl Mech Eng 183:309\u2013330","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1813_CR34","doi-asserted-by":"crossref","first-page":"5427","DOI":"10.1016\/S0045-7825(01)00179-7","volume":"190","author":"VG Kouznetsova","year":"2001","unstructured":"Kouznetsova VG, Geers MGD, Brekelmans WAM (2001) A class of general algorithms for multi-scale analysis of heterogeneous media. Comput Methods Appl Mech Eng 190:5427\u20135464","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1813_CR35","doi-asserted-by":"crossref","first-page":"2335","DOI":"10.1016\/S0020-7683(00)00167-0","volume":"38","author":"S Ghosh","year":"2001","unstructured":"Ghosh S, Lee K, Raghavan P (2001) A multilevel computational model for multi-scale damage analysis in composite and porous media. Int J Solids Struct 38:2335\u20132385","journal-title":"Int J Solids Struct"},{"issue":"2093","key":"1813_CR36","first-page":"1181","volume":"464","author":"IV Andrianov","year":"2008","unstructured":"Andrianov IV, Bolshakov VI et al (2008) Higher order asymptotic homogenization and wave propagation in periodic composite materials. Proc Math Phys Eng Sci Proc R Soc A Math Phys 464(2093):1181\u20131201","journal-title":"Proc Math Phys Eng Sci Proc R Soc A Math Phys"},{"key":"1813_CR37","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s41939-020-00087-x","volume":"4","author":"K Raju","year":"2021","unstructured":"Raju K, Tay TE, Tan VBC (2021) Review of the FE2 method for composites. Multiscale Multidiscip Model Exp Des 4:1\u201324","journal-title":"Multiscale Multidiscip Model Exp Des"},{"issue":"10","key":"1813_CR38","doi-asserted-by":"crossref","first-page":"853","DOI":"10.1002\/nme.5188","volume":"107","author":"F Fritzen","year":"2016","unstructured":"Fritzen F, Hodapp M (2016) The finite element square reduced (FE2R) method with GPU acceleration: towards three-dimensional two-scale simulations. Int J Numer Methods Eng 107(10):853\u2013881","journal-title":"Int J Numer Methods Eng"},{"issue":"9","key":"1813_CR39","first-page":"1","volume":"92","author":"M Uchida","year":"2019","unstructured":"Uchida M, Kaneko Y (2019) Nonlocal multiscale modeling of deformation behavior of polycrystalline copper by second-order homogenization method. EPJ B 92(9):1\u201311","journal-title":"EPJ B"},{"issue":"1","key":"1813_CR40","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/j.jcp.2006.09.019","volume":"223","author":"J Yvonnet","year":"2007","unstructured":"Yvonnet J, He QC (2007) The reduced model multiscale method (R3M) for the non-linear homogenization of hyperelastic media at finite strains. J Comput Phys 223(1):341\u2013368","journal-title":"J Comput Phys"},{"issue":"12","key":"1813_CR41","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.1002\/nme.4953","volume":"104","author":"B Le","year":"2015","unstructured":"Le B, Yvonnet J, He QC (2015) Computational homogenization of nonlinear elastic materials using neural networks. Int J Numer Methods Eng 104(12):1061\u20131084","journal-title":"Int J Numer Methods Eng"},{"issue":"2","key":"1813_CR42","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/s00466-018-1643-0","volume":"64","author":"X Lu","year":"2019","unstructured":"Lu X, Giovanis DG, Yvonnet J, Papadopoulos V, Detrez F, Bai J (2019) A data-driven computational homogenization method based on neural networks for the nonlinear anisotropic electrical response of graphene\/polymer nanocomposites. Comput Mech 64(2):307\u2013321","journal-title":"Comput Mech"},{"key":"1813_CR43","volume":"363","author":"R Xu","year":"2020","unstructured":"Xu R, Yang J, Yan W et al (2020) Data-driven multiscale finite element method: From concurrence to separation. Comput Methods Appl Mech Eng 363:112893","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1813_CR44","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.cma.2016.02.001","volume":"304","author":"T Kirchdoerfer","year":"2016","unstructured":"Kirchdoerfer T, Ortiz M (2016) Data-driven computational mechanics. Comput Methods Appl Mech Eng 304:81\u2013101","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1813_CR45","doi-asserted-by":"crossref","first-page":"622","DOI":"10.1016\/j.cma.2017.07.039","volume":"326","author":"T Kirchdoerfer","year":"2017","unstructured":"Kirchdoerfer T, Ortiz M (2017) Data driven computing with noisy material data sets. Comput Methods Appl Mech Eng 326:622\u2013641","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1813_CR46","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.compstruc.2017.07.031","volume":"194","author":"LTK Nguyen","year":"2018","unstructured":"Nguyen LTK, Keip M-A (2018) A data-driven approach to nonlinear elasticity. Comput Struct 194:97\u2013115","journal-title":"Comput Struct"},{"issue":"11","key":"1813_CR47","doi-asserted-by":"crossref","first-page":"1697","DOI":"10.1002\/nme.5716","volume":"113","author":"T Kirchdoerfer","year":"2018","unstructured":"Kirchdoerfer T, Ortiz M (2018) Data-driven computing in dynamics. Int J Numer Methods Eng 113(11):1697\u20131710","journal-title":"Int J Numer Methods Eng"},{"key":"1813_CR48","doi-asserted-by":"crossref","first-page":"446","DOI":"10.1016\/j.compstruct.2019.02.064","volume":"215","author":"J Yang","year":"2019","unstructured":"Yang J, Xu R, Hu H, Huang Q, Huang W (2019) Structural-genome-driven computing for composite structures. Compos Struct 215:446\u2013453","journal-title":"Compos Struct"},{"key":"1813_CR49","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.cma.2019.02.016","volume":"350","author":"R Eggersmann","year":"2019","unstructured":"Eggersmann R, Kirchdoerfer T, Reese S, Stainier L, Ortiz M (2019) Model-free data-driven inelasticity. Comput Methods Appl Mech Eng 350:81\u201399","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"12","key":"1813_CR50","doi-asserted-by":"crossref","first-page":"6007","DOI":"10.3390\/app12126007","volume":"12","author":"Y Huang","year":"2022","unstructured":"Huang Y, Deng Y (2022) A hybrid model utilizing principal component analysis and artificial neural networks for driving drowsiness detection. Appl Sci 12(12):6007","journal-title":"Appl Sci"},{"key":"1813_CR51","first-page":"1","volume":"30","author":"H Shin","year":"2017","unstructured":"Shin H, Lee JK, Kim J, Kim J (2017) Continual learning with deep generative replay. Adv Neural Inf Process Syst 30:1\u201310","journal-title":"Adv Neural Inf Process Syst"},{"key":"1813_CR52","first-page":"1","volume":"30","author":"D Lopez-Paz","year":"2017","unstructured":"Lopez-Paz D, Ranzato MA (2017) Gradient episodic memory for continual learning. Adv Neural Inf Process Syst 30:1\u201310","journal-title":"Adv Neural Inf Process Syst"},{"issue":"13","key":"1813_CR53","doi-asserted-by":"crossref","first-page":"3521","DOI":"10.1073\/pnas.1611835114","volume":"114","author":"J Kirkpatrick","year":"2017","unstructured":"Kirkpatrick J, Pascanu R et al (2017) Overcoming catastrophic forgetting in neural networks. Proc Natl Acad Sci USA 114(13):3521\u20133526","journal-title":"Proc Natl Acad Sci USA"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-023-01813-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00366-023-01813-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-023-01813-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,31]],"date-time":"2024-01-31T21:10:45Z","timestamp":1706735445000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00366-023-01813-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,4,10]]},"references-count":53,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["1813"],"URL":"https:\/\/doi.org\/10.1007\/s00366-023-01813-y","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,4,10]]},"assertion":[{"value":"5 September 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 March 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 April 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}