{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,27]],"date-time":"2026-04-27T05:42:17Z","timestamp":1777268537340,"version":"3.51.4"},"reference-count":82,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2024,4,10]],"date-time":"2024-04-10T00:00:00Z","timestamp":1712707200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004543","name":"China Scholarship Council","doi-asserted-by":"publisher","award":["202006260125"],"award-info":[{"award-number":["202006260125"]}],"id":[{"id":"10.13039\/501100004543","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["advanced.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Advanced Intelligent Systems"],"published-print":{"date-parts":[[2024,6]]},"abstract":"<jats:p>Smooth and curved microstructural topologies found in nature\u2014from soap films to trabecular bone\u2014have inspired several mimetic design spaces for architected metamaterials and bio\u2010scaffolds. However, the design approaches so far are ad\u2009hoc, raising the challenge: how to systematically and efficiently inverse design such artificial microstructures with targeted topological features? Herein, surface curvature is explored as a design modality and a deep learning framework is presented to produce topologies with as\u2010desired curvature profiles. The inverse design framework can generalize to diverse topological features such as tubular, membranous, and particulate features. Moreover, successful generalization beyond both the design and data space is demonstrated by inverse designing topologies that mimic the curvature profile of trabecular bone, spinodoid topologies, and periodic nodal surfaces for application in bio\u2010scaffolds and implants. Lastly, curvature and mechanics are bridged by showing how topological curvature can be designed to promote mechanically beneficial stretching\u2010dominated deformation over bending\u2010dominated deformation.<\/jats:p>","DOI":"10.1002\/aisy.202300789","type":"journal-article","created":{"date-parts":[[2024,4,10]],"date-time":"2024-04-10T04:06:04Z","timestamp":1712721964000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Inverse Designing Surface Curvatures by Deep Learning"],"prefix":"10.1002","volume":"6","author":[{"given":"Yaqi","family":"Guo","sequence":"first","affiliation":[{"name":"Department of Materials Science and Engineering Delft University of Technology  Mekelweg 2 2628CD Delft Netherlands"},{"name":"School of Aerospace Engineering and Applied Mechanics Tongji University  Shanghai 200092 China"}]},{"given":"Saurav","family":"Sharma","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering Delft University of Technology  Mekelweg 2 2628CD Delft Netherlands"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1602-8641","authenticated-orcid":false,"given":"Siddhant","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Materials Science and Engineering Delft University of Technology  Mekelweg 2 2628CD Delft Netherlands"}]}],"member":"311","published-online":{"date-parts":[[2024,4,10]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.2307\/1970949"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1038\/scientificamerican0776-82"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1952.0012"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2016.11.003"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.actbio.2021.06.013"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1038\/nrrheum.2009.107"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1091\/mbc.e10-12-0950"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/5046953"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1242\/dev.136861"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1038\/35068529"},{"key":"e_1_2_8_12_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1916817117"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.1021\/acs.macromol.9b01545"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1039\/C9NR04038B"},{"key":"e_1_2_8_15_1","doi-asserted-by":"publisher","DOI":"10.1021\/acsami.8b05247"},{"key":"e_1_2_8_16_1","first-page":"125984","volume":"397","author":"Castillo P.","year":"2021","journal-title":"Appl. Math. Comput."},{"key":"e_1_2_8_17_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2021.113806"},{"key":"e_1_2_8_18_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.103.094408"},{"key":"e_1_2_8_19_1","doi-asserted-by":"publisher","DOI":"10.1002\/adts.202100433"},{"key":"e_1_2_8_20_1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2020.0318"},{"key":"e_1_2_8_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.actamat.2018.01.005"},{"key":"e_1_2_8_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2019.01.002"},{"key":"e_1_2_8_23_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41524-020-0341-6"},{"key":"e_1_2_8_24_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.matdes.2021.109838"},{"key":"e_1_2_8_25_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2021.113894"},{"key":"e_1_2_8_26_1","doi-asserted-by":"publisher","DOI":"10.1002\/smll.201903834"},{"key":"e_1_2_8_27_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-022-21451-6"},{"key":"e_1_2_8_28_1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.130.108401"},{"key":"e_1_2_8_29_1","first-page":"600347","volume":"4","author":"Werner M.","year":"2016","journal-title":"Adv. Sci."},{"key":"e_1_2_8_30_1","doi-asserted-by":"publisher","DOI":"10.1039\/C4BM00291A"},{"key":"e_1_2_8_31_1","doi-asserted-by":"publisher","DOI":"10.1002\/bit.27976"},{"key":"e_1_2_8_32_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.biomaterials.2019.119739"},{"key":"e_1_2_8_33_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-023-36436-w"},{"key":"e_1_2_8_34_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-021-01049-9"},{"key":"e_1_2_8_35_1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1744102"},{"key":"e_1_2_8_36_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00158-013-0978-6"},{"key":"e_1_2_8_37_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2023.116530"},{"key":"e_1_2_8_38_1","doi-asserted-by":"publisher","DOI":"10.1186\/s10033-020-00503-w"},{"key":"e_1_2_8_39_1","volume-title":"Cellular Materials in Nature and Medicine","author":"Gibson L. J.","year":"2010"},{"key":"e_1_2_8_40_1","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms1172"},{"key":"e_1_2_8_41_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11340-007-9040-1"},{"key":"e_1_2_8_42_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2011.01.001"},{"key":"e_1_2_8_43_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.2206684119"},{"key":"e_1_2_8_44_1","doi-asserted-by":"publisher","DOI":"10.1017\/9781108348973"},{"key":"e_1_2_8_45_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-70679-1_5"},{"key":"e_1_2_8_46_1","volume-title":"Advances in Neural Information Processing Systems\u2010","author":"Goodfellow I.","year":"2014"},{"key":"e_1_2_8_47_1","doi-asserted-by":"publisher","DOI":"10.1145\/3554729"},{"key":"e_1_2_8_48_1","first-page":"1","volume":"119","author":"Bastek J.-H.","year":"2021","journal-title":"Proc. Natl. Acad. Sci."},{"key":"e_1_2_8_49_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2020.113377"},{"key":"e_1_2_8_50_1","doi-asserted-by":"publisher","DOI":"10.1002\/adma.201904845"},{"key":"e_1_2_8_51_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2023.116126"},{"key":"e_1_2_8_52_1","first-page":"17","volume":"6","author":"Mao Y.","year":"2020","journal-title":"Sci. Adv."},{"key":"e_1_2_8_53_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eml.2017.10.001"},{"key":"e_1_2_8_54_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41377-018-0060-7"},{"key":"e_1_2_8_55_1","doi-asserted-by":"publisher","DOI":"10.1002\/adma.202102703"},{"key":"e_1_2_8_56_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmat.2023.104668"},{"key":"e_1_2_8_57_1","doi-asserted-by":"publisher","DOI":"10.1201\/9780849384165"},{"key":"e_1_2_8_58_1","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2018.0535"},{"key":"e_1_2_8_59_1","doi-asserted-by":"publisher","DOI":"10.1145\/37402.37422"},{"key":"e_1_2_8_60_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2005.06.005"},{"key":"e_1_2_8_61_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmbbm.2016.12.006"},{"key":"e_1_2_8_62_1","unstructured":"S.Leoni Ph.D. Thesis ETH Zurich 1998."},{"key":"e_1_2_8_63_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0009-2614(00)01418-4"},{"key":"e_1_2_8_64_1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1996.0093"},{"key":"e_1_2_8_65_1","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.1990.39.39043"},{"key":"e_1_2_8_66_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2010.02.010"},{"key":"e_1_2_8_67_1","doi-asserted-by":"publisher","DOI":"10.1002\/1439-7641(20010716)2:7<413::AID-CPHC413>3.0.CO;2-V"},{"key":"e_1_2_8_68_1","doi-asserted-by":"publisher","DOI":"10.1021\/acssuschemeng.1c01980"},{"key":"e_1_2_8_69_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.biomaterials.2011.06.012"},{"key":"e_1_2_8_70_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmps.2018.08.022"},{"key":"e_1_2_8_71_1","doi-asserted-by":"publisher","DOI":"10.1016\/0926-2245(92)90032-I"},{"key":"e_1_2_8_72_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijmecsci.2021.106977"},{"key":"e_1_2_8_73_1","doi-asserted-by":"publisher","DOI":"10.4171\/cmh\/346"},{"key":"e_1_2_8_74_1","unstructured":"C.Rito X.Roulleau A.Sarti arXiv preprint arXiv:1609.022352016."},{"key":"e_1_2_8_75_1","doi-asserted-by":"publisher","DOI":"10.1002\/nme.1620220312"},{"key":"e_1_2_8_76_1","doi-asserted-by":"publisher","DOI":"10.1021\/acsomega.3c01631"},{"key":"e_1_2_8_77_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.polymer.2017.11.049"},{"key":"e_1_2_8_78_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijmecsci.2023.108657"},{"key":"e_1_2_8_79_1","doi-asserted-by":"publisher","DOI":"10.1002\/adma.201100562"},{"key":"e_1_2_8_80_1","unstructured":"Laboratoires Servier Spongy Bone Wikimedia Commons https:\/\/commons.wikimedia.org\/wiki\/File:Spongy_bone_\u2010_Trabecular_bone_\u2010_Normal_trabecular_bone_\u2010\u2010_Smart\u2010Servier.png(accessed: September 2023)."},{"key":"e_1_2_8_81_1","unstructured":"Blinking Spirit Photo of a Soap Bubble Creating a Catenoid Wikimedia Commons https:\/\/commons.wikimedia.org\/wiki\/File:Bulle_cat%C3%A9no%C3%AFde.png(accessed: September 2023)."},{"key":"e_1_2_8_82_1","unstructured":"Onnovisser1979 Photo of Porous Ceramic Granule Photo Shot by Michel Porro Wikimedia Commons https:\/\/commons.wikimedia.org\/wiki\/File:Cam_Bioceramics_Large_Porous_Granule.png(accessed: September 2023)."},{"key":"e_1_2_8_83_1","unstructured":"I'm in the Garden Injection Preparation; Universum Bremen Wikimedia Commons https:\/\/commons.wikimedia.org\/wiki\/File:Blutgef%C3%A4%C3%9Fe_0387.JPG(accessed: September 2023)."}],"container-title":["Advanced Intelligent Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/advanced.onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/aisy.202300789","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T23:05:51Z","timestamp":1759878351000},"score":1,"resource":{"primary":{"URL":"https:\/\/advanced.onlinelibrary.wiley.com\/doi\/10.1002\/aisy.202300789"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,10]]},"references-count":82,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["10.1002\/aisy.202300789"],"URL":"https:\/\/doi.org\/10.1002\/aisy.202300789","archive":["Portico"],"relation":{},"ISSN":["2640-4567","2640-4567"],"issn-type":[{"value":"2640-4567","type":"print"},{"value":"2640-4567","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,10]]},"assertion":[{"value":"2023-11-18","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-04-10","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"2300789"}}