Novel Model for Cascading Failure Based on Degree Strength and Its Application in Directed Gene Logic Networks

<table class="fixed-width table-group" id="tab2"><tr><td><table class="table"><colgroup><col style="width:9.08em"/><col style="width:9.08em"/><col style="width:6.85em"/><col style="width:6.85em"/><col style="width:6.85em"/><col style="width:4.62em"/></colgroup><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td class="align_left">Type</td><td class="align_center">Group</td><td class="align_center">Platform</td><td class="align_center">Database</td><td class="align_center">Value type</td><td class="align_center">Sample size</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td class="align_left" rowspan="2">Adenocarcinoma of lung</td><td class="align_center">Control group I</td><td class="align_center" rowspan="2">GPL96</td><td class="align_center" rowspan="2">GSE12667</td><td class="align_center" rowspan="2">Value, <svg height="10.2124pt" id="M169" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -6.78297 7.83752 10.2124" width="7.83752pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z" id="g113-113"></path></g></svg> value<br/><svg height="8.68572pt" id="M170" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 39.4677 8.68572" width="39.4677pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" id="g113-81"></path></g><g transform="matrix(.013,0,0,-0.013,8.026,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path></g><g transform="matrix(.013,0,0,-0.013,12.672,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z" id="g113-78"></path></g><g transform="matrix(.013,0,0,-0.013,25.479,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path></g><g transform="matrix(.013,0,0,-0.013,30.124,0)"><path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z" id="g113-66"></path></g></svg></td><td class="align_center">73</td></tr><tr><td class="align_center">Experimental group I</td><td class="align_center">68</td></tr><tr><td class="align_left" colspan="6"><hr/></td></tr><tr><td class="align_left" rowspan="2">Prostate cancer</td><td class="align_center">Control group II</td><td class="align_center" rowspan="2">GPL8300</td><td class="align_center" rowspan="2">GSE6919</td><td class="align_center" rowspan="2">Value, <svg height="10.2124pt" id="M171" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -6.78297 7.83752 10.2124" width="7.83752pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z" id="g113-113"></path></g></svg> value<br/><svg height="8.68572pt" id="M172" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 39.4677 8.68572" width="39.4677pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" id="g113-81"></path></g><g transform="matrix(.013,0,0,-0.013,8.026,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path></g><g transform="matrix(.013,0,0,-0.013,12.672,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z" id="g113-78"></path></g><g transform="matrix(.013,0,0,-0.013,25.479,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path></g><g transform="matrix(.013,0,0,-0.013,30.124,0)"><path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z" id="g113-66"></path></g></svg></td><td class="align_center">50</td></tr><tr><td class="align_center">Experimental group II</td><td class="align_center">43</td></tr><tr><td class="align_left" colspan="6"><hr/></td></tr><tr><td class="align_left" rowspan="2">Colon cancer</td><td class="align_center">Control group III</td><td class="align_center" rowspan="2">GPL570</td><td class="align_center">GDS3630</td><td class="align_center" rowspan="2">Value, <svg height="10.2124pt" id="M173" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -6.78297 7.83752 10.2124" width="7.83752pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z" id="g113-113"></path></g></svg> value<br/><svg height="8.68572pt" id="M174" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 39.4677 8.68572" width="39.4677pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" id="g113-81"></path></g><g transform="matrix(.013,0,0,-0.013,8.026,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path></g><g transform="matrix(.013,0,0,-0.013,12.672,0)"><path d="M962 650H795L470 145L347 650H176L170 622C268 613 275 606 244 503L190 322C150 188 132 126 118 91C102 50 80 33 18 28L12 0H245L251 28C175 35 170 48 174 93C177 128 191 180 220 284L292 542H294C331 392 383 150 409 4H432L774 555H776L714 137C700 40 694 34 612 28L606 0H868L874 28C793 34 784 37 797 137L849 533C859 612 863 616 956 622L962 650Z" id="g113-78"></path></g><g transform="matrix(.013,0,0,-0.013,25.479,0)"><path d="M300 253H71L57 198H286L300 253Z" id="g190-46"></path></g><g transform="matrix(.013,0,0,-0.013,30.124,0)"><path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z" id="g113-66"></path></g></svg></td><td class="align_center">40</td></tr><tr><td class="align_center">Experimental group III</td><td class="align_center">GSE2109</td><td class="align_center">39</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Computational and Mathematical Methods in Medicine

tab2

Table 2

Table 2: Novel Model for Cascading Failure Based on Degree Strength and Its Application in Directed Gene Logic Networks 