Mathematical Modeling of Biofilm Structures Using COMSTAT Data

<div>Biofilm growth models: simulation. (a) Biofilm growth according to the Gompertz (solid line) and Logistic (dashed line) models. (b) Corresponding time derivatives. (c) Corresponding biofilm doubling time. (d) Corresponding BIC. Parameter values: <span class="nowrap"><svg height="11.927pt" id="M103" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 55.7751 11.927" width="55.7751pt" 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="M578 512C578 619 494 650 387 650H140L134 622C219 615 223 609 210 542L127 119C112 40 104 34 23 28L17 0H235C317 0 387 7 444 33C515 65 564 122 564 195C564 289 495 335 412 352V354C505 373 578 422 578 512ZM486 510C486 422 423 367 314 367H257L294 565C299 591 305 602 315 608C324 614 339 617 362 617C421 617 486 595 486 510ZM466 200C466 100 393 35 296 35C222 35 198 51 212 127L250 333H303C388 333 466 303 466 200Z" id="g113-67"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.748,3.132)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 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34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z" id="g113-50"></path></g></svg>.</span> (Biofilm and time are in arbitrary units.)</div>

Computational and Mathematical Methods in Medicine

Mathematical Modeling of Biofilm Structures Using COMSTAT Data

Figure 1