Analysis of Fractional Order Mathematical Model of<i> Hematopoietic Stem Cell</i> Gene-Based Therapy

<table class="fixed-width table-group" id="tab3"><tr><td><table class="table"><colgroup><col style="width:5.40em"/><col style="width:8.48em"/></colgroup><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Parameter</td><td class="align_center">Sensitivity indices</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"><span style="width: 7.68094ptpx;"><svg height="12.7178pt" id="M242" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 7.68094 12.7178" width="7.68094pt" 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="M558 587C558 666 497 712 432 712C379 712 330 691 284 650C212 586 178 508 148 348L71 -65C49 -185 35 -229 23 -235L27 -261C49 -259 101 -251 124 -224C131 -216 138 -178 159 -24C171 66 197 200 227 356C264 550 295 668 393 668C443 668 479 632 479 575C479 516 446 458 383 418C361 404 344 398 318 397L296 350C395 338 460 281 460 192C460 110 411 40 300 40C258 40 215 55 192 69L181 51C191 18 222 -16 266 -16C308 -16 351 1 397 26C471 67 545 142 545 221C545 315 486 365 401 395C469 437 558 498 558 587Z" id="g113-224"></path></g></svg></span></td><td class="align_center">0.945</td></tr><tr><td class="align_left"><span style="width: 9.05107ptpx;"><svg height="8.68572pt" id="M243" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 9.05107 8.68572" width="9.05107pt" 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="M671 0V28C608 36 593 47 562 130C495 309 432 486 368 665L336 656C270 481 202 311 134 139C98 47 84 39 20 28V0H241V28C167 38 156 47 178 115C217 236 276 383 327 530H329C375 398 437 223 484 92C499 47 489 37 424 28V0H671Z" id="g113-140"></path></g></svg></span></td><td class="align_center">1</td></tr><tr><td class="align_left"><span style="width: 6.7023ptpx;"><svg height="6.1673pt" id="M244" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 6.7023 6.1673" width="6.7023pt" 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="M483 97L471 123C436 91 401 65 392 65C388 65 384 74 390 106C414 239 444 378 457 429L455 433C444 433 429 436 416 439C392 444 368 448 344 448C281 448 204 415 152 376C71 315 23 205 23 103C23 21 57 -12 85 -12C114 -12 149 6 185 34C231 70 285 119 329 183H331L309 81C292 0 308 -12 326 -12C350 -12 421 24 483 97ZM374 387C370 363 356 291 345 261C315 193 181 50 139 50C124 50 110 71 110 118C110 224 153 331 218 379C238 394 271 402 301 402C329 402 359 394 374 387Z" id="g113-98"></path></g></svg></span></td><td class="align_center">-0.994</td></tr><tr><td class="align_left"><span style="width: 6.59789ptpx;"><svg height="9.49473pt" id="M245" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.59789 9.49473" width="6.59789pt" 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="M475 507C475 612 440 712 326 712C139 712 23 420 23 215C23 96 58 -12 180 -12C369 -12 475 293 475 507ZM391 522C391 486 387 448 379 394H126C155 538 222 677 310 677C386 677 391 571 391 522ZM373 346C344 193 283 22 189 22C126 22 106 114 106 196C106 243 111 293 118 346H373Z" id="g113-230"></path></g></svg></span></td><td class="align_center">-1</td></tr><tr><td class="align_left"><span style="width: 10.0568ptpx;"><svg height="12.4698pt" id="M246" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 10.0568 12.4698" width="10.0568pt" 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="M452 333C452 398 425 448 375 448C329 448 235 404 140 292H138L229 683C233 701 234 712 225 712C208 712 149 686 66 677L64 652H97C135 652 140 651 129 598L38 167C23 96 29 57 44 33C60 7 98 -12 132 -12C169 -12 232 3 290 41C383 102 452 223 452 333ZM365 316C365 199 308 87 239 49C221 39 200 35 183 35C137 35 99 70 112 163C116 191 123 215 129 233C190 316 290 392 330 392C348 392 365 372 365 316Z" id="g113-99"></path></g><g transform="matrix(.0091,0,0,-0.0091,4.992,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path></g></svg></span></td><td class="align_center">-0.049</td></tr><tr><td class="align_left"><span style="width: 6.50656ptpx;"><svg height="9.39034pt" id="M247" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 6.50656 9.39034" width="6.50656pt" 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="M474 429L457 433C435 440 389 448 367 448C348 448 323 446 309 443C266 434 195 406 148 366C78 307 23 210 23 101C23 35 55 -12 92 -12C118 -12 146 1 196 35C247 70 311 130 346 173H348L281 -148C268 -211 256 -221 208 -229L191 -232L187 -257L433 -245L437 -219L411 -216C357 -210 350 -205 362 -140L427 207C447 315 461 381 474 429ZM387 387C379 337 363 262 355 236C318 180 201 57 142 57C126 57 112 81 112 128C112 205 150 321 220 376C244 395 280 403 312 403C345 403 370 396 387 387Z" id="g113-114"></path></g></svg></span></td><td class="align_center">-0.006</td></tr><tr><td class="align_left"><span style="width: 5.39742ptpx;"><svg height="6.1673pt" id="M248" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 5.39742 6.1673" width="5.39742pt" 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="M383 397C383 424 344 448 299 448C244 448 172 409 132 375C66 319 23 227 23 146C23 42 74 -12 146 -12C208 -12 298 30 359 103L343 124C315 95 248 48 192 48C145 48 111 85 111 163C111 228 129 294 151 330C171 363 201 401 241 401C275 401 302 384 325 356C332 347 339 344 348 348C373 360 383 381 383 397Z" id="g113-100"></path></g></svg></span></td><td class="align_center">0.055</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The sensitivity indices of <span class="nowrap"><svg height="11.7574pt" id="M241" style="vertical-align:-3.291129pt" version="1.1" viewbox="-0.0498162 -8.46627 18.5502 11.7574" width="18.5502pt" 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="M668 26C646 31 631 35 610 64C593 87 572 122 543 176L484 306C568 331 646 391 646 489C646 553 620 593 575 617C533 644 471 650 409 650H139L131 613C216 609 222 604 206 520L134 135C116 53 101 42 25 37L16 0H331L338 37C261 42 249 54 264 136L291 281H318C352 281 365 267 375 235C392 185 416 130 438 87C471 25 501 -8 656 -8L668 26ZM502 485C502 431 477 379 426 347C395 329 361 323 322 323H298L343 558C347 577 351 587 357 593C368 602 384 605 403 605C454 605 502 575 502 485Z" id="g5-83"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.69,3.132)"><path d="M255 635C86 635 29 459 29 311C29 167 83 -12 254 -12S478 166 478 312C478 457 425 635 255 635ZM252 588C317 588 338 455 338 314C338 176 322 35 256 35C191 35 169 183 169 315C169 448 185 588 252 588Z" id="g14-49"></path></g><g transform="matrix(.0091,0,0,-0.0091,13.304,3.132)"><path d="M440 180C404 113 397 110 338 110H183L298 220C398 316 438 379 438 456C438 568 354 635 254 635C192 635 138 610 101 572L36 479L69 452C103 500 144 541 204 541C270 541 306 494 306 425C306 350 267 276 197 193C148 136 89 81 36 30V0H440C451 42 463 106 480 167L440 180Z" id="g14-51"></path></g></svg>.</span></div>

International Journal of Mathematics and Mathematical Sciences

tab3

Table 3

Table 3: Analysis of Fractional Order Mathematical Model of<i> Hematopoietic Stem Cell</i> Gene-Based Therapy 

International Journal of Mathematics and Mathematical Sciences

Analysis of Fractional Order Mathematical Model of Hematopoietic Stem Cell Gene-Based Therapy

Table 3