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Current Computer-Aided Drug Design

Editor-in-Chief

ISSN (Print): 1573-4099
ISSN (Online): 1875-6697

Research Article

Exploring Intrinsic Dimensionality of Chemical Spaces for Robust QSAR Model Development: A Comparison of Several Statistical Approaches

Author(s): Subhabrata Majumdar and Subhash C. Basak

Volume 12, Issue 4, 2016

Page: [294 - 301] Pages: 8

DOI: 10.2174/1573409912666160906111821

Price: $65

Abstract

Background: Computed mathematical descriptors of molecules are used for the prediction of their property/ bioactivity. In the 1970s only a few descriptors could be calculated, currently available software can calculate a large number of descriptors for molecules or biomolecules like DNA/ RNA, proteins.

Objective: When p molecular descriptors are calculated for n molecules, the data set can be viewed as n vectors in p dimensions, each chemical being represented as a point in . Because many of the descriptors are strongly correlated, the n points in will lie on a subspace of dimension lower than p. Methods like principal components analysis (PCA) can be used to characterize the intrinsic dimensionality of chemical spaces. Taking motivation from the work of Basak et al. in 1980s in using PCA of descriptors calculated for various congeneric and structurally diverse sets of chemicals relevant to new drug discovery and predictive toxicology, this paper explores the intrinsic dimensionality of chemical spaces for robust QSAR model development.

Methodology: Intrinsic dimensionality of chemical spaces was studied using three new statistical approaches and two data sets, viz. a congeneric set of 95 aromatic and heteroaromatic amine mutagens and a structurally diverse set of 508 chemical mutagens.

Results: The new outlier-robust methods applied here yield favorable prediction results compared to previous studies on same datasets.

Conclusion: We conclude that while analyzing data on large number of chemical descriptors, it is advisable to build QSAR models that are outlier-robust, and take into consideration the underlying correlations among predictors.

Keywords: Aromatic and heteroaromatic amines, chemical mutagens, hierarchical QSAR, leave one out (LOO) cross validation, principal component analysis, robustness, sufficient dimension reduction.

Graphical Abstract


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      • 15. app/Http/Controllers/ArticleController.php:2517
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      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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      • 16. app/Models/Subject.php:220
      • 17. app/Http/Controllers/ArticleController.php:2518
      • 18. app/Http/Controllers/ArticleController.php:2035
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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      • 11. app/Models/Issue.php:298
      • 12. app/Http/Controllers/ArticleController.php:2068
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
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      • 13. app/Models/Article.php:528
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      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select a.nid,a.publish_on, a.pmid,a.article_id,a.doi,j.journal_id,j.subtitle,v.volume_name,a.volume_id as volume_id, a.issue_id,a.title,first_page, last_page, page_count,abstract,ifnull(is_abstract,"y"),asec.title as article_section,at.type_name as article_type_name, a.article_id as ArticleID ,is_epub,epub_price,epub_type,a.created, y.year from `article` as `a` left join `article_section` as `asec` on `asec`.`art_sec_id` = `a`.`is_epub` left join `article_type` as `at` on `at`.`art_type_id` = `a`.`art_type` left join `journal` as `j` on `j`.`journal_id` = `a`.`journal_id` inner join `volume` as `v` on `a`.`volume_id` = `v`.`volume_id` inner join `year` as `y` on `v`.`year_id` = `y`.`id` where a.article_status != "W" and a.is_epub = 4 and a.journal_id = 5 and a.is_uploaded = 1 group by `a`.`article_id` order by `a`.`publish_on` desc
      7.22msalphaeurekaselec_live_10_06_2022Article.php#528
      Backtrace
      • 13. app/Models/Article.php:528
      • 14. app/Http/Controllers/ArticleController.php:2071
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select pdf, html, epub, prc from `article_metrics` where `article_id` = 78220 limit 1
      270μsalphaeurekaselec_live_10_06_2022Article.php#744
      Bindings
      • 0: 78220
      Backtrace
      • 14. app/Models/Article.php:744
      • 15. app/Http/Controllers/ArticleController.php:2091
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from content_by_diseases where content_id = 78220 and content_type = 'article' order by status desc limit 1
      290μsalphaeurekaselec_live_10_06_2022Article.php#751
      Backtrace
      • 11. app/Models/Article.php:751
      • 12. app/Http/Controllers/ArticleController.php:2094
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `node_meta` where `nid` = 145372 limit 1
      230μsalphaeurekaselec_live_10_06_2022Meta.php#30
      Bindings
      • 0: 145372
      Backtrace
      • 14. app/Models/Meta.php:30
      • 15. app/Http/Controllers/ArticleController.php:2101
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select `bo`.* from `bundle_offer` as `bo` where `bo`.`bundle_status` = 'A' order by `bo`.`bundle_id` desc
      270μsalphaeurekaselec_live_10_06_2022BundleOffer.php#57
      Bindings
      • 0: A
      Backtrace
      • 13. app/Models/BundleOffer.php:57
      • 14. app/Http/Controllers/ArticleController.php:2108
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `tbl_ht_submission` as `h` where `h`.`subtitle` = 'CCADD' and (h.proposal_closing_date = 0 OR TO_DAYS(FROM_UNIXTIME(h.proposal_closing_date)) >= TO_DAYS(NOW())) order by `h`.`manuscript` asc
      310μsalphaeurekaselec_live_10_06_2022Article.php#2025
      Bindings
      • 0: CCADD
      Backtrace
      • 13. app/Models/Article.php:2025
      • 14. app/Http/Controllers/ArticleController.php:2112
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) as total_count, content_type_access_id as access_type from journal_access where content_type_id = '78220' and content_type = 'a' and ( (from_date <= CURDATE() and to_date >= CURDATE() and perpetual= 0) or (from_date is null and to_date is null and perpetual= 1) )
      460μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
      Backtrace
      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ArticleController.php:2186
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) as total_count, content_type_access_id as access_type from journal_access where content_type_id = '7333' and content_type = 'i' and ( (from_date <= CURDATE() and to_date >= CURDATE() and perpetual= 0) or (from_date is null and to_date is null and perpetual= 1) )
      440μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
      Backtrace
      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ArticleController.php:2207
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) as total_count, content_type_access_id as access_type from journal_access where content_type_id = '1783' and content_type = 'v' and ( (from_date <= CURDATE() and to_date >= CURDATE() and perpetual= 0) or (from_date is null and to_date is null and perpetual= 1) )
      440μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
      Backtrace
      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ArticleController.php:2231
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"volume" as access_level,"" as issue_id,"" as article_id from `user_access_journal_volume_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 1783) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"volume" as access_level,"" as issue_id,"" as article_id from `user_access_journal_volume_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 1783) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"volume" as access_level,"" as issue_id,"" as article_id from `user_access_journal_volume_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 1783)
      32.3msalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ArticleController.php:2272
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"issue" as access_level,j.issue_id,"" as article_id from `user_access_issue_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.issue_id = 7333) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"issue" as access_level,j.issue_id,"" as article_id from `user_access_issue_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.issue_id = 7333) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"issue" as access_level,j.issue_id,"" as article_id from `user_access_issue_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.issue_id = 7333)
      840μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ArticleController.php:2297
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"article" as access_level, j.issue_id, j.article_id from `user_access_article_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.article_id = 78220) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"article" as access_level, j.issue_id, j.article_id from `user_access_article_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.article_id = 78220) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"article" as access_level, j.issue_id, j.article_id from `user_access_article_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 309824417 and j.to_ip >=309824417 )) and ((j.from_date <= 1739835109 and j.to_date >= 1739835109 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.article_id = 78220)
      840μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ArticleController.php:2329
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `article` where `first_page` < '294' and is_uploaded = 1 and issue_id = 7333 order by cast(first_page as SIGNED) desc limit 1
      680μsalphaeurekaselec_live_10_06_2022Article.php#1819
      Bindings
      • 0: 294
      Backtrace
      • 14. app/Models/Article.php:1819
      • 15. app/Http/Controllers/ArticleController.php:2470
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `article` where `last_page` > '301' and is_uploaded = 1 and issue_id = 7333 order by cast(first_page as SIGNED) asc limit 1
      580μsalphaeurekaselec_live_10_06_2022Article.php#1831
      Bindings
      • 0: 301
      Backtrace
      • 14. app/Models/Article.php:1831
      • 15. app/Http/Controllers/ArticleController.php:2472
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select `language_id` from `multilanguage` where `short_code` = 'en'
      210μsalphaeurekaselec_live_10_06_2022ArticleController.php#2497
      Bindings
      • 0: en
      Backtrace
      • 14. app/Http/Controllers/ArticleController.php:2497
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select `source_lang_label`, `target_lang_label` from `multilanguage_labels` where `target_lang_id` = 1
      270μsalphaeurekaselec_live_10_06_2022MultiLanguage.php#23
      Bindings
      • 0: 1
      Backtrace
      • 13. app/Models/MultiLanguage.php:23
      • 14. app/Http/Controllers/ArticleController.php:2498
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select `id` from `multilanguage_article` where `article_id` = 78220 limit 1
      3.91msalphaeurekaselec_live_10_06_2022ArticleController.php#2506
      Bindings
      • 0: 78220
      Backtrace
      • 16. app/Http/Controllers/ArticleController.php:2506
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` inner join `journal` as `j` on `j`.`journal_id` = `bd`.`content_id` where `b`.`banner_journal` = 1 and `bd`.`content_type` = 'J' and `bd`.`content_id` = 5 and `b`.`banner_from_date` <= 1739835109 and `b`.`banner_to_date` >= 1739835109 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.53msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: J
      • 2: 5
      • 3: 1739835109
      • 4: 1739835109
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` inner join `journal` as `j` on `j`.`journal_id` = `bd`.`content_id` where `b`.`banner_journal` = 1 and `bd`.`content_type` = 'J' and `bd`.`content_id` = 5 and `b`.`banner_from_date` <= 1739835109 and `b`.`banner_to_date` >= 1739835109 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.18msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: J
      • 2: 5
      • 3: 1739835109
      • 4: 1739835109
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='75de22dc69250c64acdf56e197c6e179'
      220μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\MultiLanguage
    1MultiLanguage.php#?
        _token
        Nvz24pilGmoprLH7LCrcTKtIhzi8c34Y4DNxPN5y
        uc_cart_id
        75de22dc69250c64acdf56e197c6e179
        _previous
        array:1 [ "url" => "http://alpha.eurekaselect.com/article/78220" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /article/78220
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
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