Freeze-Concentrated Phase and State Transition Temperatures of Mixtures of Low and High Molecular Weight Cryoprotectants

<div>Response surface plots showing the variation of the experimental and predicted values of <svg height="16.924pt" id="M167" style="vertical-align:-5.4879pt" version="1.1" viewbox="-0.0498162 -11.4361 15.9714 16.924" width="15.9714pt" 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="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.176,3.132)"><path d="M472 439C432 432 382 428 334 425C303 442 271 451 236 451H235C158 451 54 398 54 285C54 216 97 171 140 152C124 133 93 105 53 90C52 81 55 63 64 48C77 27 102 5 137 -6C115 -22 77 -53 57 -73C40 -88 32 -107 32 -130C32 -189 96 -253 208 -253C340 -253 461 -159 461 -56C461 44 378 63 314 63C281 63 246 62 207 62C163 62 145 80 145 99C145 114 160 130 175 141C191 138 210 136 226 136C314 136 405 188 405 294C405 329 393 359 376 382L433 378C448 387 469 415 477 430L472 439ZM226 417C282 417 320 364 320 288S281 172 236 171C180 171 142 224 142 300S182 417 226 417ZM248 -9C291 -9 319 -11 346 -22S390 -57 390 -90C390 -151 339 -199 246 -199C171 -199 114 -159 114 -106C114 -79 132 -53 159 -30C178 -15 200 -9 248 -9Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.076,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g></svg> for different cryoprotectant solutions: (a) <svg height="11.8631pt" id="M168" style="vertical-align:-3.227201pt" version="1.1" viewbox="-0.0498162 -8.6359 19.5393 11.8631" width="19.5393pt" 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="M748 650H522L515 622L546 617C580 611 587 604 565 575C518 513 469 451 419 393C376 474 349 534 330 580C318 609 325 612 361 618L383 622L392 650H151L144 622C214 616 224 612 257 543L360 327C270 218 187 124 159 95C106 40 92 34 26 28L17 0H252L259 28L236 31C189 37 188 47 209 78C249 136 308 210 377 294L478 79C494 44 487 37 449 32L418 28L409 0H673L680 28C596 34 591 39 554 116L436 361C526 469 574 521 604 553C659 612 669 614 739 622L748 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.88,3.132)"><path d="M969 650H746V617C823 609 825 598 814 540C798 470 743 278 700 144H698C638 319 581 476 525 641H491C440 478 384 317 329 145H327C283 286 245 418 205 553C192 601 192 609 267 617V650H20V617C80 609 98 602 122 522C177 343 233 172 285 -9H321C372 152 428 309 485 485H487C542 330 604 151 660 -9H696C779 269 841 460 862 521C891 599 900 609 969 617V650Z"></path></g></svg> = 0.4 and (b) <svg height="11.8631pt" id="M169" style="vertical-align:-3.227201pt" version="1.1" viewbox="-0.0498162 -8.6359 19.5393 11.8631" width="19.5393pt" 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="M748 650H522L515 622L546 617C580 611 587 604 565 575C518 513 469 451 419 393C376 474 349 534 330 580C318 609 325 612 361 618L383 622L392 650H151L144 622C214 616 224 612 257 543L360 327C270 218 187 124 159 95C106 40 92 34 26 28L17 0H252L259 28L236 31C189 37 188 47 209 78C249 136 308 210 377 294L478 79C494 44 487 37 449 32L418 28L409 0H673L680 28C596 34 591 39 554 116L436 361C526 469 574 521 604 553C659 612 669 614 739 622L748 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.88,3.132)"><path d="M969 650H746V617C823 609 825 598 814 540C798 470 743 278 700 144H698C638 319 581 476 525 641H491C440 478 384 317 329 145H327C283 286 245 418 205 553C192 601 192 609 267 617V650H20V617C80 609 98 602 122 522C177 343 233 172 285 -9H321C372 152 428 309 485 485H487C542 330 604 151 660 -9H696C779 269 841 460 862 521C891 599 900 609 969 617V650Z"></path></g></svg>= 0.812. ● Experimental data.</div>

Advances in Polymer Technology

fig3

Figure 3

Figure 3: Freeze-Concentrated Phase and State Transition Temperatures of Mixtures of Low and High Molecular Weight Cryoprotectants 