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Mathematical Tool Helps Predict the Occurrence of Migraines in Concussion Patients

By MedImaging International staff writers
Posted on 03 Feb 2016

Researchers have developed a mathematical tool to help find which concussion patients are most likely to suffer migraines.

The study results were published online in the journal Radiology. Patients with concussion injuries commonly suffer from post-traumatic migraine headaches. To investigate the relationship between headaches and concussion-related damage to the brain, researchers normally use a Magnetic Resonance Imaging (MRI) technique called Diffusion Tensor Imaging (DTI). Researchers create histograms of the whole brain, and then a mean Fractional Anistropy (FA). There are shortcomings with the FA technique however.

Instead of using the FA technique, the researchers analyzed the MRI scan results using Shannon entropy, an information theory model that that reveals areas of entropy, in the brain. The researchers then assessed the performance of Shannon entropy for use as a diagnostic tool for concussion patients with and without post-traumatic migraines. The study included 74 concussion patients – 57 with post-traumatic migraines and 17 without, 22 healthy control patients, and 20 control patients with migraine headaches. Mean FA and Shannon entropy results were calculated from the total brain FA histograms and compared between concussion patients and the control patients, and between those patients with, and those without post-traumatic migraine.

The results showed that using Shannon entropy analysis of FA histograms was more successful than mean FA as a diagnostic test to differentiate between concussion patients and controls. In addition, Shannon entropy was better in determining which concussion patients would develop post-traumatic migraines. The results also suggested that Shannon entropy could provide a reproducible biomarker that can be calculated automatically and can help triage patients after initial injury, and predict which patients are more likely to have severe symptoms.

Study author Lea M. Alhilali, MD, from the University of Pittsburgh Medical Center (UPMC; Pittsburgh, PA, USA), said, “Mean FA represents an average. If someone has a higher FA to begin with and they lose white matter integrity from trauma, they still might average out to have a normal mean FA. A healthy brain has high entropy, but people with injuries to the white matter from trauma may lose some of that complexity and have less entropy. This approach requires just one histogram for the entire brain. If it continues to show promise, then it could be added to the regular brain MRI as part of the study. Additional research is needed to study other potential applications of Shannon entropy, such as predicting future cognitive performance in concussion patients.”

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64 (36.954879760742): select jos_twitters.link from jos_twitters where cat=10

65 (30.040740966797): select jos_facebook.link from jos_facebook where cat=10

66 (29.802322387695): select jos_google_plus.link from jos_google_plus where cat=10

67 (27.894973754883): select jos_linkedin.link from jos_linkedin where cat=10

68 (31.948089599609): SELECT fid FROM jos_deeppockets WHERE id=294762581 AND published='1' union SELECT fid FROM jos_deeppockets_archive WHERE id=294762581 AND published='1' LIMIT 1

69 (30.994415283203): SELECT id,name,sponsor_text FROM jos_deeppockets dp left outer join jos_channel_sponsor cs on dp.id=cs.fid WHERE cat=10 AND TYPE='file_folder' AND published=1 AND id=212 ORDER BY `ordering`

70 (338.07754516602): SELECT fid FROM jos_deeppockets WHERE cat=10 AND id=294762581 AND (type='deeppockets_item' OR type='deeppockets_item_link') AND published='1' LIMIT 1

71 (272.98927307129): SELECT fid FROM jos_deeppockets_archive WHERE cat=10 AND id=294762581 AND (type='deeppockets_item' OR type='deeppockets_item_link') AND published='1' LIMIT 1

72 (51.021575927734): SELECT id,name,title FROM jos_deeppockets WHERE cat=10 AND TYPE='file_folder' AND published=1 AND id != 294743300 AND id != 294743301 AND id != 294743302 AND id != 294743303 AND id != 294743304 AND id != 294743305 AND id != 294743306 AND id != 294743307 AND id != 294743308 AND id != 294743309 AND id != 294743310 AND metakey != 'aacc' ORDER BY `ordering`

73 (52.928924560547): SELECT show_live FROM jos_com_show_setting LIMIT 1

74 (29.802322387695): SELECT show_live FROM jos_com_show_setting LIMIT 1

75 (28.133392333984): SELECT show_live FROM jos_com_show_setting LIMIT 1

76 (28.133392333984): SELECT show_live FROM jos_com_show_setting LIMIT 1

77 (25.98762512207): SELECT show_live FROM jos_com_show_setting LIMIT 1

78 (28.133392333984): SELECT show_live FROM jos_com_show_setting LIMIT 1

79 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

80 (27.894973754883): SELECT show_live FROM jos_com_show_setting LIMIT 1

81 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

82 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

83 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

84 (27.894973754883): SELECT show_live FROM jos_com_show_setting LIMIT 1

85 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

86 (27.894973754883): SELECT show_live FROM jos_com_show_setting LIMIT 1

87 (64.849853515625): SELECT fid FROM jos_deeppockets WHERE cat=10 AND id=294762581 AND (type='deeppockets_item' OR type='deeppockets_item_link') AND published='1' LIMIT 1

88 (39.100646972656): SELECT fid FROM jos_deeppockets_archive WHERE cat=10 AND id=294762581 AND (type='deeppockets_item' OR type='deeppockets_item_link') AND published='1' LIMIT 1

89 (34.093856811523): SELECT id,name,title FROM jos_deeppockets WHERE cat=10 AND TYPE='file_folder' AND published=1 AND id != 294743300 AND id != 294743301 AND id != 294743302 AND id != 294743303 AND id != 294743304 AND id != 294743305 AND id != 294743306 AND id != 294743307 AND id != 294743308 AND id != 294743309 AND id != 294743310 AND metakey != 'aacc' ORDER BY `ordering`

90 (61.988830566406): SELECT show_live FROM jos_com_show_setting LIMIT 1

91 (56.982040405273): SELECT show_live FROM jos_com_show_setting LIMIT 1

92 (37.908554077148): SELECT show_live FROM jos_com_show_setting LIMIT 1

93 (29.087066650391): SELECT show_live FROM jos_com_show_setting LIMIT 1

94 (37.908554077148): SELECT show_live FROM jos_com_show_setting LIMIT 1

95 (29.087066650391): SELECT show_live FROM jos_com_show_setting LIMIT 1

96 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

97 (27.894973754883): SELECT show_live FROM jos_com_show_setting LIMIT 1

98 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

99 (27.894973754883): SELECT show_live FROM jos_com_show_setting LIMIT 1

100 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

101 (27.894973754883): SELECT show_live FROM jos_com_show_setting LIMIT 1

102 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

103 (26.941299438477): SELECT show_live FROM jos_com_show_setting LIMIT 1

104 (73.19450378418): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

105 (50.067901611328): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

106 (64.849853515625): SELECT dp.*, ch.title as channel, exp.name as author_name, exp.specialization as author_specialization, exp.images as author_photo FROM jos_deeppockets as dp LEFT JOIN jos_experts as exp ON exp.id = dp.author LEFT JOIN jos_deeppockets as ch ON dp.fid = ch.id WHERE 1=1 AND dp.cat=10 AND dp.id=294762581 AND (dp.type='deeppockets_item' OR dp.type='deeppockets_item_link') AND dp.published='1' LIMIT 1

107 (46.968460083008): SELECT dp.*, ch.title as channel, exp.name as author_name, exp.specialization as author_specialization, exp.images as author_photo FROM jos_deeppockets_archive as dp LEFT JOIN jos_experts as exp ON exp.id = dp.author LEFT JOIN jos_deeppockets as ch ON dp.fid = ch.id WHERE 1=1 AND dp.cat=10 AND dp.id=294762581 AND (dp.type='deeppockets_item' OR dp.type='deeppockets_item_link') AND dp.published='1' LIMIT 1

108 (85.115432739258): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

109 (60.081481933594): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

110 (51.021575927734): SELECT dp.*, ch.title as channel, exp.name as author_name, exp.specialization as author_specialization, exp.images as author_photo FROM jos_deeppockets as dp LEFT JOIN jos_experts as exp ON exp.id = dp.author LEFT JOIN jos_deeppockets as ch ON dp.fid = ch.id WHERE 1=1 AND dp.id=294762581 AND (dp.type='deeppockets_item' OR dp.type='deeppockets_item_link') AND dp.published='1' LIMIT 1

111 (560.04524230957): SELECT dp.*, ch.title as channel, exp.name as author_name, exp.specialization as author_specialization, exp.images as author_photo FROM jos_deeppockets_archive as dp LEFT JOIN jos_experts as exp ON exp.id = dp.author LEFT JOIN jos_deeppockets as ch ON dp.fid = ch.id WHERE 1=1 AND dp.id=294762581 AND (dp.type='deeppockets_item' OR dp.type='deeppockets_item_link') AND dp.published='1' LIMIT 1

112 (688.07601928711): SELECT dp.name, dp.id, dp2.name as channel, ex.name as author_name, ex.specialization, ex.images FROM jos_deeppockets as dp LEFT JOIN jos_experts as ex ON ex.id = dp.author LEFT JOIN jos_deeppockets as dp2 ON dp2.id = dp.fid WHERE dp.author != 0 AND dp.cat = 10 AND dp.published = 1 AND ( (dp.fid = 294743300) OR (dp.fid = 294743301) OR (dp.fid = 294743302) OR (dp.fid = 294743303) OR (dp.fid = 294743304) OR (dp.fid = 294743305) OR (dp.fid = 294743306) OR (dp.fid = 294743307) OR (dp.fid = 294743308) OR (dp.fid = 294743309) OR (dp.fid = 294743310) ) ORDER BY RAND() LIMIT 1

113 (410.07995605469): SELECT dp.name, dp.id, dp2.name as channel, ex.name as author_name, ex.specialization, ex.images FROM jos_deeppockets as dp LEFT JOIN jos_experts as ex ON ex.id = dp.author LEFT JOIN jos_deeppockets as dp2 ON dp2.id = dp.fid WHERE dp.author != 0 AND dp.cat = 10 AND dp.published = 1 AND ( (dp.fid = 294743300) OR (dp.fid = 294743301) OR (dp.fid = 294743302) OR (dp.fid = 294743303) OR (dp.fid = 294743304) OR (dp.fid = 294743305) OR (dp.fid = 294743306) OR (dp.fid = 294743307) OR (dp.fid = 294743308) OR (dp.fid = 294743309) OR (dp.fid = 294743310) ) ORDER BY RAND() LIMIT 1

114 (108.00361633301): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

115 (65.088272094727): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

116 (104.90417480469): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

117 (46.968460083008): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

118 (43.869018554688): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

119 (36.954879760742): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

120 (37.908554077148): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

121 (36.001205444336): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

122 (268.93615722656): SELECT * FROM trending_articles WHERE `journal_id` = 10 AND `timestamp` <= NOW() + INTERVAL 7 DAY ORDER BY `order`

123 (!!!!! 19731.044769287): SELECT * FROM jos_deeppockets WHERE jos_deeppockets.cat = 10 AND jos_deeppockets.type = 'deeppockets_item' AND jos_deeppockets.published = 1 AND jos_deeppockets.created + INTERVAL 14 DAY >= NOW() ORDER BY jos_deeppockets.hits DESC LIMIT 7

124 (521.89826965332): SELECT fid FROM jos_deeppockets WHERE cat=10 AND id=294762581 AND type='deeppockets_item' AND published='1' union SELECT fid FROM jos_deeppockets_archive WHERE cat=10 AND id=294762581 AND type='deeppockets_item' AND published='1' LIMIT 1

125 (!!!!! 7513.0462646484): ( SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets AS dp WHERE dp.video != '' AND dp.video_source != '' AND dp.cat = 10 AND dp.published = 1 AND dp.type != 'deeppockets_item_link' ORDER BY created DESC LIMIT 3 ) UNION ( SELECT dpa.id, dpa.name, dpa.title, dpa.video, dpa.video_source, dpa.created FROM jos_deeppockets_archive AS dpa WHERE dpa.video != '' AND dpa.video_source != '' AND dpa.cat = 10 AND dpa.published = 1 AND dpa.type != 'deeppockets_item_link' ORDER BY created DESC LIMIT 3 ) ORDER BY created DESC LIMIT 3

126 (96.797943115234): ( SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets AS dp WHERE dp.video != '' AND dp.video_source != '' AND dp.cat = 10 AND dp.published = 1 AND dp.type != 'deeppockets_item_link' ORDER BY created DESC LIMIT 3 ) UNION ( SELECT dpa.id, dpa.name, dpa.title, dpa.video, dpa.video_source, dpa.created FROM jos_deeppockets_archive AS dpa WHERE dpa.video != '' AND dpa.video_source != '' AND dpa.cat = 10 AND dpa.published = 1 AND dpa.type != 'deeppockets_item_link' ORDER BY created DESC LIMIT 3 ) ORDER BY created DESC LIMIT 3

127 (40.054321289062): SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets AS dp WHERE dp.id = 294803337 LIMIT 1

128 (30.040740966797): SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets AS dp WHERE dp.id = 294803337 LIMIT 1

129 (35.04753112793): SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets AS dp WHERE dp.id = 294803276 LIMIT 1

130 (28.848648071289): SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets AS dp WHERE dp.id = 294803276 LIMIT 1

131 (399.11270141602): SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets_archive AS dp WHERE dp.id = 294803276 LIMIT 1

132 (53.882598876953): SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets_archive AS dp WHERE dp.id = 294803276 LIMIT 1

133 (34.093856811523): SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets AS dp WHERE dp.id = 294802958 LIMIT 1

134 (30.040740966797): SELECT dp.id, dp.name, dp.title, dp.video, dp.video_source, dp.created FROM jos_deeppockets AS dp WHERE dp.id = 294802958 LIMIT 1

135 (513.79203796387): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND (type='deeppockets_item' OR type='deeppockets_item_link') AND published='1' LIMIT 1

136 (376.93977355957): SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND (type='deeppockets_item' OR type='deeppockets_item_link') AND published='1' LIMIT 1

137 (41.007995605469): SELECT name FROM jos_deeppockets WHERE id=212

138 (27.894973754883): SELECT name FROM jos_deeppockets WHERE id=212

139 (565.0520324707): SELECT *, DATE_FORMAT(publish_up,'%d %b %Y') AS date_publish_up, DATE_FORMAT(publish_down,'%d %b %Y') AS date_publish_down FROM jos_events WHERE state=1 AND publish_up > NOW() and extra_info REGEXP '((;)|(^))212((;)|($))' AND catid IN (0,110) ORDER BY publish_up ASC LIMIT 3

140 (523.80561828613): SELECT *, DATE_FORMAT(publish_up,'%d %b %Y') AS date_publish_up, DATE_FORMAT(publish_down,'%d %b %Y') AS date_publish_down FROM jos_events WHERE state=1 AND publish_up > NOW() and extra_info REGEXP '((;)|(^))212((;)|($))' AND catid IN (0,110) ORDER BY publish_up ASC LIMIT 3

141 (74.863433837891): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

142 (46.968460083008): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

143 (!!!!! 7983.2077026367): TRUNCATE TABLE jos_trademed_module

144 (132.79914855957): SELECT dp.*, ch.title as channel, exp.name as author_name, exp.specialization as author_specialization, exp.images as author_photo FROM jos_deeppockets as dp LEFT JOIN jos_experts as exp ON exp.id = dp.author LEFT JOIN jos_deeppockets as ch ON dp.fid = ch.id WHERE 1=1 AND dp.cat=10 AND dp.id=294762581 AND (dp.type='deeppockets_item' OR dp.type='deeppockets_item_link') AND dp.published='1' LIMIT 1

145 (56.982040405273): SELECT dp.*, ch.title as channel, exp.name as author_name, exp.specialization as author_specialization, exp.images as author_photo FROM jos_deeppockets_archive as dp LEFT JOIN jos_experts as exp ON exp.id = dp.author LEFT JOIN jos_deeppockets as ch ON dp.fid = ch.id WHERE 1=1 AND dp.cat=10 AND dp.id=294762581 AND (dp.type='deeppockets_item' OR dp.type='deeppockets_item_link') AND dp.published='1' LIMIT 1

146 (869.9893951416): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND (type='deeppockets_item' OR type='deeppockets_item_link') AND published='1' LIMIT 1

147 (80.108642578125): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND (type='deeppockets_item' OR type='deeppockets_item_link') AND published='1' LIMIT 1

148 (58.174133300781): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

149 (46.014785766602): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

150 (!!!!! 1119.85206604): SELECT jos_item.* FROM jos_item INNER JOIN jos_number ON jos_item.numberID=jos_number.id WHERE 1=1 AND (jos_item.imgMini<>'') AND jos_item.type='L' AND jos_item.numberID= ( SELECT jos_number.id FROM jos_number WHERE jos_number.journalID IN (10) and jos_number.id in (select distinct jos_number.id from jos_number join jos_item on jos_item.numberid=jos_number.id where jos_item.type='P') ORDER BY (CONVERT(SUBSTRING(issue,1,2),SIGNED) + (CONVERT(SUBSTRING(issue,3,2),SIGNED)*100)) DESC LIMIT 0,1 ) ORDER BY RAND() DESC LIMIT 6

151 (53.882598876953): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

152 (39.100646972656): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

153 (50.067901611328): SELECT fid FROM jos_deeppockets WHERE cat=10 AND id=294762581 AND type='deeppockets_item' AND published='1' union SELECT fid FROM jos_deeppockets_archive WHERE cat=10 AND id=294762581 AND type='deeppockets_item' AND published='1' LIMIT 1

154 (30.994415283203): select distinct links.* from jos_textlinks links join jos_textlinks_placement placement on links.id=placement.link_id where journal_id=(10) and (channel_id=212 or channel_id is null)

155 (26.941299438477): select distinct links.* from jos_textlinks links join jos_textlinks_placement placement on links.id=placement.link_id where journal_id=(10) and (channel_id=212 or channel_id is null)

156 (45.061111450195): SELECT livesite FROM jos_dp_categories WHERE id=10 AND published='1' LIMIT 1

157 (63.896179199219): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

158 (44.107437133789): SELECT * FROM jos_deeppockets WHERE 1=1 AND id=294762581 AND published='1' union SELECT * FROM jos_deeppockets_archive WHERE 1=1 AND id=294762581 AND published='1' LIMIT 1

159 (36.001205444336): select jos_twitters.link from jos_twitters where cat=10

160 (30.994415283203): select jos_facebook.link from jos_facebook where cat=10

161 (30.994415283203): select jos_google_plus.link from jos_google_plus where cat=10

162 (30.994415283203): select jos_linkedin.link from jos_linkedin where cat=10

163 (276.08871459961): update jos_bannersmanager_banner set impmade=impmade+1 where id in(14615,14202,14203)

164 (986.09924316406): insert into jos_banners_delta values (14615,'2025-06-22 03:59:50','216.73.216.120','view'),(14202,'2025-06-22 03:59:50','216.73.216.120','view'),(14203,'2025-06-22 03:59:50','216.73.216.120','view')

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