{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,15]],"date-time":"2026-10-15T18:10:41Z","timestamp":1792087841000,"version":"4.4.0"},"reference-count":52,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2026,8,4]],"date-time":"2026-08-04T00:00:00Z","timestamp":1785801600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T00:00:00Z","timestamp":1788307200000},"content-version":"vor","delay-in-days":29,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Nat Commun"],"DOI":"10.1038\/s41467-026-76322-9","type":"journal-article","created":{"date-parts":[[2026,8,4]],"date-time":"2026-08-04T12:53:15Z","timestamp":1785847995000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Biomimetic diffusion metamaterials enabled by physical-geometric duality"],"prefix":"10.1038","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-5892-118X","authenticated-orcid":false,"given":"Fubao","family":"Yang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuhong","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gaole","family":"Dai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6605-500X","authenticated-orcid":false,"given":"Cheng-Wei","family":"Qiu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3617-3275","authenticated-orcid":false,"given":"Jiping","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1823-6778","authenticated-orcid":false,"given":"Liujun","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,8,4]]},"reference":[{"key":"76322_CR1","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1038\/nmat2743","volume":"9","author":"H Chen","year":"2010","unstructured":"Chen, H., Chan, C. T. & Sheng, P. Transformation optics and metamaterials. Nat. Mater. 9, 387\u2013396 (2010).","journal-title":"Nat. Mater."},{"key":"76322_CR2","doi-asserted-by":"publisher","first-page":"917","DOI":"10.1038\/nmat3431","volume":"11","author":"NI Zheludev","year":"2012","unstructured":"Zheludev, N. I. & Kivshar, Y. S. From metamaterials to metadevices. Nat. Mater. 11, 917\u2013924 (2012).","journal-title":"Nat. Mater."},{"key":"76322_CR3","doi-asserted-by":"publisher","first-page":"939","DOI":"10.1126\/science.1246545","volume":"342","author":"M Wegener","year":"2013","unstructured":"Wegener, M. Metamaterials beyond optics. Science 342, 939\u2013940 (2013).","journal-title":"Science"},{"key":"76322_CR4","doi-asserted-by":"publisher","first-page":"126501","DOI":"10.1088\/0034-4885\/76\/12\/126501","volume":"76","author":"M Kadic","year":"2013","unstructured":"Kadic, M., B\u00fcckmann, T., Schittny, R. & Wegener, M. Metamaterials beyond electromagnetism. Rep. Prog. Phys. 76, 126501 (2013).","journal-title":"Rep. Prog. Phys."},{"key":"76322_CR5","doi-asserted-by":"publisher","first-page":"945","DOI":"10.1038\/s41563-025-02219-5","volume":"24","author":"JU Surjadi","year":"2025","unstructured":"Surjadi, J. U., Aymon, B. G. G., Carton, M. & Portela, C. M. Double-network-inspired mechanical metamaterials. Nat. Mater. 24, 945\u2013954 (2025).","journal-title":"Nat. Mater."},{"key":"76322_CR6","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1103\/RevModPhys.81.387","volume":"81","author":"P H\u00e4nggi","year":"2009","unstructured":"H\u00e4nggi, P. & Marchesoni, F. Artificial Brownian motors: controlling transport on the nanoscale. Rev. Mod. Phys. 81, 387\u2013442 (2009).","journal-title":"Rev. Mod. Phys."},{"key":"76322_CR7","doi-asserted-by":"publisher","first-page":"015901","DOI":"10.1103\/PhysRevLett.128.015901","volume":"128","author":"Z Zhang","year":"2022","unstructured":"Zhang, Z. et al. Heat conduction theory including phonon coherence. Phys. Rev. Lett. 128, 015901 (2022).","journal-title":"Phys. Rev. Lett."},{"key":"76322_CR8","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-023-37380-5","volume":"14","author":"X Huang","year":"2023","unstructured":"Huang, X. et al. Observation of phonon Poiseuille flow in isotopically purified graphite ribbons. Nat. Commun. 14, 2044 (2023).","journal-title":"Nat. Commun."},{"key":"76322_CR9","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1038\/s42254-018-0018-y","volume":"1","author":"M Kadic","year":"2019","unstructured":"Kadic, M., Milton, G. W., van Hecke, M. & Wegener, M. 3D metamaterials. Nat. Rev. Phys. 1, 198\u2013210 (2019).","journal-title":"Nat. Rev. Phys."},{"key":"76322_CR10","doi-asserted-by":"publisher","first-page":"218","DOI":"10.1038\/s42254-023-00565-4","volume":"5","author":"ZR Zhang","year":"2023","unstructured":"Zhang, Z. R. et al. Diffusion metamaterials. Nat. Rev. Phys. 5, 218\u2013235 (2023).","journal-title":"Nat. Rev. Phys."},{"key":"76322_CR11","doi-asserted-by":"publisher","first-page":"015002","DOI":"10.1103\/RevModPhys.96.015002","volume":"96","author":"FB Yang","year":"2024","unstructured":"Yang, F. B. et al. Controlling mass and energy diffusion with metamaterials. Rev. Mod. Phys. 96, 015002 (2024).","journal-title":"Rev. Mod. Phys."},{"key":"76322_CR12","doi-asserted-by":"publisher","first-page":"488","DOI":"10.1038\/s41578-021-00283-2","volume":"6","author":"Y Li","year":"2021","unstructured":"Li, Y. et al. Transforming heat transfer with thermal metamaterials and devices. Nat. Rev. Mater. 6, 488\u2013507 (2021).","journal-title":"Nat. Rev. Mater."},{"key":"76322_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2020.12.006","volume":"908","author":"S Yang","year":"2021","unstructured":"Yang, S., Wang, J., Dai, G. L., Yang, F. B. & Huang, J. P. Controlling macroscopic heat transfer with thermal metamaterials: theory, experiment and application. Phys. Rep. 908, 1\u201365 (2021).","journal-title":"Phys. Rep."},{"key":"76322_CR14","doi-asserted-by":"publisher","first-page":"251907","DOI":"10.1063\/1.2951600","volume":"92","author":"C Fan","year":"2008","unstructured":"Fan, C., Gao, Y. & Huang, J. P. Shaped graded materials with an apparent negative thermal conductivity. Appl. Phys. Lett. 92, 251907 (2008).","journal-title":"Appl. Phys. Lett."},{"key":"76322_CR15","doi-asserted-by":"publisher","first-page":"195901","DOI":"10.1103\/PhysRevLett.110.195901","volume":"110","author":"R Schittny","year":"2013","unstructured":"Schittny, R., Kadic, M., Guenneau, S. & Wegener, M. Experiments on transformation thermodynamics: molding the flow of heat. Phys. Rev. Lett. 110, 195901 (2013).","journal-title":"Phys. Rev. Lett."},{"key":"76322_CR16","doi-asserted-by":"publisher","first-page":"054301","DOI":"10.1103\/PhysRevLett.112.054301","volume":"112","author":"H Xu","year":"2014","unstructured":"Xu, H., Shi, X., Gao, F., Sun, H. & Zhang, B. Ultrathin three-dimensional thermal cloak. Phys. Rev. Lett. 112, 054301 (2014).","journal-title":"Phys. Rev. Lett."},{"key":"76322_CR17","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1038\/s41563-018-0239-6","volume":"18","author":"Y Li","year":"2019","unstructured":"Li, Y. et al. Thermal meta-device in analogue of zero-index photonics. Nat. Mater. 18, 48\u201354 (2019).","journal-title":"Nat. Mater."},{"key":"76322_CR18","doi-asserted-by":"publisher","first-page":"214303","DOI":"10.1103\/PhysRevLett.108.214303","volume":"108","author":"S Narayana","year":"2012","unstructured":"Narayana, S. & Sato, Y. Heat flux manipulation with engineered thermal materials. Phys. Rev. Lett. 108, 214303 (2012).","journal-title":"Phys. Rev. Lett."},{"key":"76322_CR19","doi-asserted-by":"publisher","first-page":"8207","DOI":"10.1364\/OE.20.008207","volume":"20","author":"S Guenneau","year":"2012","unstructured":"Guenneau, S., Amra, C. & Veynante, D. Transformation thermodynamics: Cloaking and concentrating heat flux. Opt. Express 20, 8207\u20138218 (2012).","journal-title":"Opt. Express"},{"key":"76322_CR20","doi-asserted-by":"publisher","first-page":"759","DOI":"10.1016\/j.physleta.2018.11.041","volume":"383","author":"L Zhou","year":"2019","unstructured":"Zhou, L., Huang, S., Wang, M., Hu, R. & Luo, X. While rotating while cloaking. Phys. Lett. A 383, 759\u2013763 (2019).","journal-title":"Phys. Lett. A"},{"key":"76322_CR21","doi-asserted-by":"publisher","first-page":"054024","DOI":"10.1103\/PhysRevApplied.14.054024","volume":"14","author":"FB Yang","year":"2020","unstructured":"Yang, F. B., Tian, B. Y., Xu, L. J. & Huang, J. P. Experimental demonstration of thermal chameleonlike rotators with transformation-invariant metamaterials. Phys. Rev. Appl. 14, 054024 (2020).","journal-title":"Phys. Rev. Appl."},{"key":"76322_CR22","doi-asserted-by":"publisher","first-page":"1731","DOI":"10.1002\/adma.201304448","volume":"26","author":"T Han","year":"2014","unstructured":"Han, T., Bai, X., Thong, J. T. L., Li, B. & Qiu, C.-W. Full control and manipulation of heat signatures: Cloaking, camouflage and thermal metamaterials. Adv. Mater. 26, 1731\u20131734 (2014).","journal-title":"Adv. Mater."},{"key":"76322_CR23","doi-asserted-by":"publisher","first-page":"7752","DOI":"10.1002\/adma.201502513","volume":"27","author":"T Yang","year":"2015","unstructured":"Yang, T. et al. Invisible sensors: simultaneous sensing and camouflaging in multiphysical fields. Adv. Mater. 27, 7752\u20137758 (2015).","journal-title":"Adv. Mater."},{"key":"76322_CR24","doi-asserted-by":"crossref","unstructured":"Huang, J. P. Theoretical Thermotics: Transformation Thermotics and Extended Theories for Thermal Metamaterials (Springer, Singapore, 2020).","DOI":"10.1007\/978-981-15-2301-4"},{"key":"76322_CR25","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-021-27543-7","volume":"12","author":"W Sha","year":"2021","unstructured":"Sha, W. et al. Robustly printable freeform thermal metamaterials. Nat. Commun. 12, 7228 (2021).","journal-title":"Nat. Commun."},{"key":"76322_CR26","doi-asserted-by":"publisher","first-page":"125205","DOI":"10.1016\/j.ijheatmasstransfer.2024.125205","volume":"222","author":"Z Zhu","year":"2024","unstructured":"Zhu, Z. et al. Arbitrary-shape transformation multiphysics cloak by topology optimization. Int. J. Heat Mass Transf. 222, 125205 (2024).","journal-title":"Int. J. Heat Mass Transf."},{"key":"76322_CR27","doi-asserted-by":"publisher","first-page":"122716","DOI":"10.1016\/j.ijheatmasstransfer.2022.122716","volume":"189","author":"Q Ji","year":"2022","unstructured":"Ji, Q. et al. Design of thermal cloaks with isotropic materials based on machine learning. Int. J. Heat Mass Transf. 189, 122716 (2022).","journal-title":"Int. J. Heat Mass Transf."},{"key":"76322_CR28","doi-asserted-by":"publisher","first-page":"125986","DOI":"10.1016\/j.ijheatmasstransfer.2024.125986","volume":"233","author":"Q Ji","year":"2024","unstructured":"Ji, Q., Zhang, Q., Zhang, Y., Wang, C. & Kadic, M. Intelligent design of thermal metamaterials based on deep learning assisted structure optimization. Int. J. Heat Mass Transf. 233, 125986 (2024).","journal-title":"Int. J. Heat Mass Transf."},{"key":"76322_CR29","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-024-49630-1","volume":"15","author":"W Li","year":"2024","unstructured":"Li, W., Sigmund, O. & Zhang, X. S. Analytical realization of complex thermal meta-devices. Nat. Commun. 15, 5527 (2024).","journal-title":"Nat. Commun."},{"key":"76322_CR30","doi-asserted-by":"crossref","unstructured":"Li, W., Wang, Y., Sigmund, O. & Zhang, X. S. Free-form thermal cloaks in three dimensions. Nat. Commun. 17, 5739 (2026).","DOI":"10.1038\/s41467-026-73167-0"},{"key":"76322_CR31","doi-asserted-by":"publisher","first-page":"033201","DOI":"10.1103\/PhysRevE.88.033201","volume":"88","author":"X He","year":"2013","unstructured":"He, X. & Wu, L. Thermal transparency with the concept of neutral inclusion. Phys. Rev. E 88, 033201 (2013).","journal-title":"Phys. Rev. E"},{"key":"76322_CR32","doi-asserted-by":"publisher","first-page":"016623","DOI":"10.1103\/PhysRevE.72.016623","volume":"72","author":"A Al\u00f9","year":"2005","unstructured":"Al\u00f9, A. & Engheta, N. Achieving transparency with plasmonic and metamaterial coatings. Phys. Rev. E 72, 016623 (2005).","journal-title":"Phys. Rev. E"},{"key":"76322_CR33","doi-asserted-by":"publisher","first-page":"024301","DOI":"10.1103\/PhysRevLett.100.024301","volume":"100","author":"SA Cummer","year":"2008","unstructured":"Cummer, S. A. et al. Scattering theory derivation of a 3D acoustic cloaking shell. Phys. Rev. Lett. 100, 024301 (2008).","journal-title":"Phys. Rev. Lett."},{"key":"76322_CR34","doi-asserted-by":"publisher","first-page":"061108","DOI":"10.1063\/1.5016090","volume":"112","author":"G Fujii","year":"2018","unstructured":"Fujii, G., Akimoto, Y. & Takahashi, M. Exploring optimal topology of thermal cloaks by CMA-ES. Appl. Phys. Lett. 112, 061108 (2018).","journal-title":"Appl. Phys. Lett."},{"key":"76322_CR35","doi-asserted-by":"publisher","first-page":"1312","DOI":"10.1016\/j.ijheatmasstransfer.2019.03.162","volume":"137","author":"G Fujii","year":"2019","unstructured":"Fujii, G. & Akimoto, Y. Topology-optimized thermal carpet cloak expressed by an immersed-boundary level-set method via a covariance matrix adaptation evolution strategy. Int. J. Heat Mass Transf. 137, 1312\u20131322 (2019).","journal-title":"Int. J. Heat Mass Transf."},{"key":"76322_CR36","doi-asserted-by":"publisher","first-page":"532","DOI":"10.1038\/s43588-024-00660-1","volume":"4","author":"L Xu","year":"2024","unstructured":"Xu, L. et al. Free-form and multi-physical metamaterials with forward conformality-assisted tracing. Nat. Comput. Sci. 4, 532\u2013541 (2024).","journal-title":"Nat. Comput. Sci."},{"key":"76322_CR37","unstructured":"Thompson, D. W. On Growth and Form (Cambridge University Press, Cambridge, 1917)."},{"key":"76322_CR38","doi-asserted-by":"publisher","first-page":"103834","DOI":"10.1016\/j.jmps.2019.103834","volume":"137","author":"X Chen","year":"2020","unstructured":"Chen, X. & Dai, H.-H. Stress-free configurations induced by a family of locally incompatible growth functions. J. Mech. Phys. Solids 137, 103834 (2020).","journal-title":"J. Mech. Phys. Solids"},{"key":"76322_CR39","doi-asserted-by":"publisher","first-page":"218101","DOI":"10.1103\/PhysRevLett.129.218101","volume":"129","author":"A Dai","year":"2022","unstructured":"Dai, A. & Ben Amar, M. Minimizing the elastic energy of growing leaves by conformal mapping. Phys. Rev. Lett. 129, 218101 (2022).","journal-title":"Phys. Rev. Lett."},{"key":"76322_CR40","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1038\/nphoton.2014.307","volume":"9","author":"L Xu","year":"2015","unstructured":"Xu, L. & Chen, H. Conformal transformation optics. Nat. Photonics 9, 15\u201323 (2015).","journal-title":"Nat. Photonics"},{"key":"76322_CR41","doi-asserted-by":"publisher","first-page":"2003084","DOI":"10.1002\/adma.202003084","volume":"33","author":"Y Su","year":"2021","unstructured":"Su, Y. et al. Path-dependent thermal metadevice beyond janus functionalities. Adv. Mater. 33, 2003084 (2021).","journal-title":"Adv. Mater."},{"key":"76322_CR42","doi-asserted-by":"publisher","first-page":"113849","DOI":"10.1016\/j.chaos.2023.113849","volume":"174","author":"G Dai","year":"2023","unstructured":"Dai, G., Yang, F., Wang, J., Xu, L. & Huang, J. Diffusive pseudo-conformal mapping: Anisotropy-free transformation thermal media with perfect interface matching. Chaos Solitons Fractals 174, 113849 (2023).","journal-title":"Chaos Solitons Fractals"},{"key":"76322_CR43","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2511708122","volume":"122","author":"G Dai","year":"2025","unstructured":"Dai, G. et al. Controlling transient and coupled diffusion with pseudoconformal mapping. Proc. Natl. Acad. Sci. USA. 122, e2511708122 (2025).","journal-title":"Proc. Natl. Acad. Sci. USA."},{"key":"76322_CR44","doi-asserted-by":"publisher","first-page":"4258","DOI":"10.1021\/acs.chemrev.3c00708","volume":"124","author":"C Zhu","year":"2024","unstructured":"Zhu, C., Bamidele, E. A., Shen, X., Zhu, G. & Li, B. Machine learning aided design and optimization of thermal metamaterials. Chem. Rev. 124, 4258\u20134331 (2024).","journal-title":"Chem. Rev."},{"key":"76322_CR45","doi-asserted-by":"publisher","DOI":"10.1002\/smtd.202500469","volume":"10","author":"Y Liu","year":"2025","unstructured":"Liu, Y. et al. Dual-functional thermal metamaterials: Decoupling heat flux and temperature fields for advanced thermal management. Small Methods 10, 2500469 (2025).","journal-title":"Small Methods"},{"key":"76322_CR46","doi-asserted-by":"crossref","unstructured":"Cao, X. et al. Programmable electrothermal quad-functional metamaterials for decoupled multi-field control. Adv. Mater. 38, e22718 (2026)","DOI":"10.1002\/adma.202522718"},{"key":"76322_CR47","doi-asserted-by":"publisher","first-page":"20130106","DOI":"10.1098\/rsif.2013.0106","volume":"10","author":"S Guenneau","year":"2013","unstructured":"Guenneau, S. & Puvirajesinghe, T. M. Fick\u2019s second law transformed: one path to cloaking in mass diffusion. J. R. Soc. Interface 10, 20130106 (2013).","journal-title":"J. R. Soc. Interface"},{"key":"76322_CR48","doi-asserted-by":"publisher","first-page":"053404","DOI":"10.1063\/1.4917492","volume":"5","author":"S Guenneau","year":"2015","unstructured":"Guenneau, S., Petiteau, D., Zerrad, M., Amra, C. & Puvirajesinghe, T. Transformed Fourier and Fick equations for the control of heat and mass diffusion. AIP Adv 5, 053404 (2015).","journal-title":"AIP Adv"},{"key":"76322_CR49","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-020-17550-5","volume":"11","author":"M Camacho","year":"2020","unstructured":"Camacho, M., Edwards, B. & Engheta, N. Achieving asymmetry and trapping in diffusion with spatiotemporal metamaterials. Nat. Commun. 11, 3733 (2020).","journal-title":"Nat. Commun."},{"key":"76322_CR50","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1126\/science.1254524","volume":"345","author":"R Schittny","year":"2014","unstructured":"Schittny, R., Kadic, M., B\u00fcckmann, T. & Wegener, M. Invisibility cloaking in a diffusive light scattering medium. Science 345, 427\u2013429 (2014).","journal-title":"Science"},{"key":"76322_CR51","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2207630119","volume":"119","author":"M Chen","year":"2022","unstructured":"Chen, M. et al. Realizing the multifunctional metamaterial for fluid flow in a porous medium. Proc. Natl. Acad. Sci. USA. 119, e2207630119 (2022).","journal-title":"Proc. Natl. Acad. Sci. USA."},{"key":"76322_CR52","doi-asserted-by":"publisher","first-page":"1466","DOI":"10.1126\/science.1218316","volume":"335","author":"F G\u00f6m\u00f6ry","year":"2012","unstructured":"G\u00f6m\u00f6ry, F. et al. Experimental realization of a magnetic cloak. Science 335, 1466\u20131468 (2012).","journal-title":"Science"}],"container-title":["Nature Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.nature.com\/articles\/s41467-026-76322-9","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41467-026-76322-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41467-026-76322-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T22:37:20Z","timestamp":1788302240000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.nature.com\/articles\/s41467-026-76322-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,8,4]]},"references-count":52,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2026,12]]}},"alternative-id":["76322"],"URL":"https:\/\/doi.org\/10.1038\/s41467-026-76322-9","relation":{},"ISSN":["2041-1723"],"issn-type":[{"value":"2041-1723","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,8,4]]},"assertion":[{"value":"8 January 2026","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 July 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 August 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The authors declared no competing interests.","order":1,"name":"Ethics","label":"Competing interests","group":{"name":"EthicsHeading","label":"Ethics"}}],"article-number":"9384"}}