Dynamics Analysis and Biomass Productivity Optimisation of a Microbial Cultivation Process through Substrate Regulation

<div>Verification of Theorem <a href="https://static.hindawi.com/articles/ddns/volume-2016/3685941/figures/#thm3.1">7</a>. The phase diagrams for different initial biomass concentrations on <svg height="11.8174pt" id="M345" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 29.1027 11.8174" width="29.1027pt" 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="M822 650H589L583 622C660 617 677 607 674 561C672 534 664 481 647 390L600 137H596L273 650H126L120 622C176 620 194 615 207 594C221 571 225 557 214 504L161 257C141 166 129 112 121 85C108 42 83 30 29 28L23 0H260L266 28C193 33 173 42 176 89C178 122 186 172 202 255L256 527H259L583 -8H612L690 390C708 481 720 535 728 558C744 603 756 619 816 622L822 650Z" id="g113-79"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="839" vert-adv-y="839"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,10.062,3.132)"><path d="M46 650V618C122 613 130 611 130 522V128C130 46 123 40 40 32V0H319V32C227 40 217 42 217 128V279L292 260C303 259 322 258 338 261C436 272 534 337 534 467C534 534 508 580 469 609C428 640 371 650 299 650H46ZM217 558C217 585 220 596 228 603C235 610 256 615 284 615C367 615 435 571 435 463C435 339 358 304 291 304C256 304 229 310 217 317V558Z" id="g58-78"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="573" vert-adv-y="573"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,15.276,3.132)"><path d="M738 650H471V617C551 612 559 606 559 524V368H218V524C218 606 227 612 305 617V650H38V617C123 612 131 606 131 524V126C131 44 124 38 41 33V0H310V33C226 38 218 44 218 126V321H559V126C559 44 551 38 463 33V0H737V33C654 38 646 44 646 126V524C646 606 654 612 738 617V650Z" id="g58-70"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="777" vert-adv-y="777"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,22,3.132)"><path d="M682 0V33C615 38 603 49 571 134C507 305 441 494 378 665L343 655L136 136C101 48 86 41 22 33V0H246V33C170 41 161 50 183 112C196 152 209 192 224 232H441C461 176 478 126 493 87C504 49 499 41 433 33V0H682ZM425 279H242C273 363 303 448 335 533H337L425 279Z" id="g58-63"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="703" vert-adv-y="703"></glyph.data></g></svg>.</div>

Discrete Dynamics in Nature and Society

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Figure 8

Figure 8: Dynamics Analysis and Biomass Productivity Optimisation of a Microbial Cultivation Process through Substrate Regulation 