{"id":"https://openalex.org/W4414980428","doi":"https://doi.org/10.3390/sym17101689","title":"Research on Safety of Pipelines with Defects in Frozen Soil Regions Based on PDE","display_name":"Research on Safety of Pipelines with Defects in Frozen Soil Regions Based on PDE","publication_year":2025,"publication_date":"2025-10-09","ids":{"openalex":"https://openalex.org/W4414980428","doi":"https://doi.org/10.3390/sym17101689"},"language":"en","primary_location":{"id":"doi:10.3390/sym17101689","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17101689","pdf_url":"https://www.mdpi.com/2073-8994/17/10/1689/pdf?version=1759993248","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/10/1689/pdf?version=1759993248","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101951714","display_name":"Yuan Li","orcid":"https://orcid.org/0000-0002-1835-9332"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]},{"id":"https://openalex.org/I98227222","display_name":"China National Petroleum Corporation (China)","ror":"https://ror.org/05269d038","country_code":"CN","type":"company","lineage":["https://openalex.org/I98227222"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Li","raw_affiliation_strings":["Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China","School of Energy and Power Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China","institution_ids":["https://openalex.org/I98227222"]},{"raw_affiliation_string":"School of Energy and Power Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100627504","display_name":"Jun Liu","orcid":"https://orcid.org/0000-0002-3163-3420"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]},{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Liu","raw_affiliation_strings":["School of Aerospace Engineering, XiaMen University, Xiamen 361000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, XiaMen University, Xiamen 361000, China","institution_ids":["https://openalex.org/I191208505","https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014590049","display_name":"Haiyang Wang","orcid":"https://orcid.org/0000-0001-5612-908X"},"institutions":[{"id":"https://openalex.org/I98227222","display_name":"China National Petroleum Corporation (China)","ror":"https://ror.org/05269d038","country_code":"CN","type":"company","lineage":["https://openalex.org/I98227222"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyang Wang","raw_affiliation_strings":["Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China","institution_ids":["https://openalex.org/I98227222"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024968299","display_name":"Ling Fan","orcid":"https://orcid.org/0000-0002-4813-3895"},"institutions":[{"id":"https://openalex.org/I98227222","display_name":"China National Petroleum Corporation (China)","ror":"https://ror.org/05269d038","country_code":"CN","type":"company","lineage":["https://openalex.org/I98227222"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Fan","raw_affiliation_strings":["Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China","institution_ids":["https://openalex.org/I98227222"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072122276","display_name":"Wangqiang Xiao","orcid":"https://orcid.org/0000-0002-3835-7908"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]},{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wangqiang Xiao","raw_affiliation_strings":["School of Aerospace Engineering, XiaMen University, Xiamen 361000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, XiaMen University, Xiamen 361000, China","institution_ids":["https://openalex.org/I191208505","https://openalex.org/I75867142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100771494","display_name":"Yanbin Li","orcid":"https://orcid.org/0000-0001-6939-1634"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]},{"id":"https://openalex.org/I98227222","display_name":"China National Petroleum Corporation (China)","ror":"https://ror.org/05269d038","country_code":"CN","type":"company","lineage":["https://openalex.org/I98227222"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanbin Li","raw_affiliation_strings":["Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China","School of Energy and Power Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China","institution_ids":["https://openalex.org/I98227222"]},{"raw_affiliation_string":"School of Energy and Power Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111721328","display_name":"Jiayong Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I98227222","display_name":"China National Petroleum Corporation (China)","ror":"https://ror.org/05269d038","country_code":"CN","type":"company","lineage":["https://openalex.org/I98227222"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiayong Wu","raw_affiliation_strings":["Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China","institution_ids":["https://openalex.org/I98227222"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100322694","display_name":"Yan Wang","orcid":"https://orcid.org/0000-0002-4482-6387"},"institutions":[{"id":"https://openalex.org/I98227222","display_name":"China National Petroleum Corporation (China)","ror":"https://ror.org/05269d038","country_code":"CN","type":"company","lineage":["https://openalex.org/I98227222"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Wang","raw_affiliation_strings":["Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Construction Project Management Branch of National Petroleum and Natural Gas Pipe Network Group Co., Ltd., Langfang 065001, China","institution_ids":["https://openalex.org/I98227222"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001305425","display_name":"Zhiqin Cai","orcid":"https://orcid.org/0000-0002-1840-2476"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]},{"id":"https://openalex.org/I75867142","display_name":"Xiamen University of Technology","ror":"https://ror.org/01285e189","country_code":"CN","type":"education","lineage":["https://openalex.org/I75867142"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiqin Cai","raw_affiliation_strings":["School of Aerospace Engineering, XiaMen University, Xiamen 361000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, XiaMen University, Xiamen 361000, China","institution_ids":["https://openalex.org/I191208505","https://openalex.org/I75867142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5001305425","https://openalex.org/A5072122276"],"corresponding_institution_ids":["https://openalex.org/I191208505","https://openalex.org/I75867142"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26770938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"10","first_page":"1689","last_page":"1689"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12233","display_name":"Geotechnical Engineering and Underground Structures","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11333","display_name":"Climate change and permafrost","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13862","display_name":"Soil, Finite Element Methods","score":0.9189000129699707,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pipeline-transport","display_name":"Pipeline transport","score":0.842199981212616},{"id":"https://openalex.org/keywords/permafrost","display_name":"Permafrost","score":0.7802000045776367},{"id":"https://openalex.org/keywords/moisture","display_name":"Moisture","score":0.5719000101089478},{"id":"https://openalex.org/keywords/latent-heat","display_name":"Latent heat","score":0.4465000033378601},{"id":"https://openalex.org/keywords/water-content","display_name":"Water content","score":0.4284000098705292},{"id":"https://openalex.org/keywords/leakage","display_name":"Leakage (economics)","score":0.42669999599456787},{"id":"https://openalex.org/keywords/stress","display_name":"Stress (linguistics)","score":0.42559999227523804},{"id":"https://openalex.org/keywords/computer-simulation","display_name":"Computer simulation","score":0.4092999994754791},{"id":"https://openalex.org/keywords/stress-field","display_name":"Stress field","score":0.3970000147819519}],"concepts":[{"id":"https://openalex.org/C175309249","wikidata":"https://www.wikidata.org/wiki/Q725864","display_name":"Pipeline transport","level":2,"score":0.842199981212616},{"id":"https://openalex.org/C15098985","wikidata":"https://www.wikidata.org/wiki/Q179918","display_name":"Permafrost","level":2,"score":0.7802000045776367},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.626800000667572},{"id":"https://openalex.org/C176864760","wikidata":"https://www.wikidata.org/wiki/Q217651","display_name":"Moisture","level":2,"score":0.5719000101089478},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.483599990606308},{"id":"https://openalex.org/C58024561","wikidata":"https://www.wikidata.org/wiki/Q207721","display_name":"Latent heat","level":2,"score":0.4465000033378601},{"id":"https://openalex.org/C24939127","wikidata":"https://www.wikidata.org/wiki/Q373499","display_name":"Water content","level":2,"score":0.4284000098705292},{"id":"https://openalex.org/C2777042071","wikidata":"https://www.wikidata.org/wiki/Q6509304","display_name":"Leakage (economics)","level":2,"score":0.42669999599456787},{"id":"https://openalex.org/C21036866","wikidata":"https://www.wikidata.org/wiki/Q181767","display_name":"Stress (linguistics)","level":2,"score":0.42559999227523804},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.4092999994754791},{"id":"https://openalex.org/C2778414698","wikidata":"https://www.wikidata.org/wiki/Q7623438","display_name":"Stress field","level":3,"score":0.3970000147819519},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.38850000500679016},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3603000044822693},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3580999970436096},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.35589998960494995},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3513999879360199},{"id":"https://openalex.org/C133256868","wikidata":"https://www.wikidata.org/wiki/Q7180940","display_name":"Phase change","level":2,"score":0.32749998569488525},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3257000148296356},{"id":"https://openalex.org/C518456604","wikidata":"https://www.wikidata.org/wiki/Q899599","display_name":"Stress\u2013strain curve","level":3,"score":0.30239999294281006},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.29649999737739563},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2838999927043915},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.28060001134872437},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2773999869823456},{"id":"https://openalex.org/C85676937","wikidata":"https://www.wikidata.org/wiki/Q2251807","display_name":"Effective stress","level":2,"score":0.274399995803833},{"id":"https://openalex.org/C202787564","wikidata":"https://www.wikidata.org/wiki/Q6510488","display_name":"Heat equation","level":2,"score":0.27219998836517334}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17101689","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17101689","pdf_url":"https://www.mdpi.com/2073-8994/17/10/1689/pdf?version=1759993248","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"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":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17101689","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17101689","pdf_url":"https://www.mdpi.com/2073-8994/17/10/1689/pdf?version=1759993248","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1455796566","display_name":null,"funder_award_id":"52475070","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414980428.pdf","grobid_xml":"https://content.openalex.org/works/W4414980428.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1971049655","https://openalex.org/W2002209884","https://openalex.org/W2012559594","https://openalex.org/W2067521307","https://openalex.org/W2171816920","https://openalex.org/W2243431516","https://openalex.org/W2741864711","https://openalex.org/W2883466049","https://openalex.org/W2884974268","https://openalex.org/W2891184497","https://openalex.org/W2898825223","https://openalex.org/W2921434269","https://openalex.org/W2922631464","https://openalex.org/W3003597398","https://openalex.org/W3011618133","https://openalex.org/W3035032137","https://openalex.org/W3089192627","https://openalex.org/W3091840611","https://openalex.org/W3093056232","https://openalex.org/W3111363067","https://openalex.org/W3154037175","https://openalex.org/W3168891360","https://openalex.org/W3214501139","https://openalex.org/W4324044750","https://openalex.org/W4386026379","https://openalex.org/W4403285477","https://openalex.org/W4404552184","https://openalex.org/W4408868433","https://openalex.org/W4410881077"],"related_works":[],"abstract_inverted_index":{"Buried":[0],"pipelines":[1,127,171,180],"in":[2],"permafrost":[3],"areas":[4],"are":[5,17,152],"affected":[6],"by":[7],"harsh":[8],"environments,":[9],"especially":[10],"those":[11],"with":[12,128,150,201],"defects":[13,151],"and":[14,33,46,56,86,119,183],"damages,":[15],"which":[16],"prone":[18,154],"to":[19,30,35,102,155],"failure":[20],"or":[21],"even":[22],"leakage":[23],"accidents.":[24],"However,":[25],"current":[26],"research":[27],"is":[28,100],"limited":[29],"single-factor":[31],"analysis":[32],"fails":[34],"comprehensively":[36],"consider":[37],"the":[38,52,57,65,70,76,81,87,96,105,123,136,140,145,158,167,174,184,194],"interaction":[39],"relationships":[40],"among":[41],"temperature":[42,66],"fields,":[43,45],"moisture":[44,137],"stress":[47,89,146],"fields.":[48],"Therefore,":[49],"based":[50],"on":[51,122,144,164],"thermodynamic":[53],"equilibrium":[54],"equation":[55,68,79],"ice\u2013water":[58],"phase":[59,74],"transition":[60],"theory,":[61],"this":[62],"paper":[63],"constructs":[64],"field":[67,78,90],"including":[69],"latent":[71],"heat":[72],"of":[73,83,95,108,126,147,160,179,205],"transition,":[75],"water":[77,115],"considering":[80],"migration":[82],"unfrozen":[84],"water,":[85],"elastoplastic":[88],"equation.":[91],"A":[92],"numerical":[93,131],"model":[94],"heat\u2013water\u2013force":[97],"three-field":[98],"coupling":[99],"established":[101],"systematically":[103],"study":[104],"influence":[106,143],"laws":[107],"key":[109],"parameters":[110],"such":[111],"as":[112],"burial":[113],"depth,":[114],"content,":[116],"pipe":[117],"diameter,":[118],"wall":[120],"thickness":[121],"strain":[124,175],"distribution":[125],"defects.":[129],"The":[130],"simulation":[132,185],"results":[133],"show":[134],"that":[135,193],"content":[138],"has":[139,198],"most":[141],"significant":[142],"pipelines.":[148],"Pipelines":[149],"more":[153],"damage":[156],"under":[157],"action":[159],"freeze\u2013thaw":[161],"cycles.":[162],"Based":[163],"data":[165],"analysis,":[166],"safety":[168],"criteria":[169],"for":[170],"were":[172],"designed,":[173],"response":[176,195],"surface":[177,196],"function":[178,197],"was":[181,186,191],"constructed,":[182],"verified":[187],"through":[188],"experiments.":[189],"It":[190],"concluded":[192],"good":[199],"predictability,":[200],"a":[202],"prediction":[203],"accuracy":[204],"over":[206],"90%.":[207]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
