Hughes, Jack M.; Eberl, Hermann J.; Sonner, Stefanie A mathematical model of discrete attachment to a cellulolytic biofilm using random DEs. (English) Zbl 1508.92155 Math. Biosci. Eng. 19, No. 7, 6582-6619 (2022). MSC: 92C70 34F05 35C07 65M08 PDFBibTeX XMLCite \textit{J. M. Hughes} et al., Math. Biosci. Eng. 19, No. 7, 6582--6619 (2022; Zbl 1508.92155) Full Text: DOI
Rohanizadegan, Yousef; Sonner, Stefanie; Eberl, Hermann J. Discrete attachment to a cellulolytic biofilm modeled by an Itô stochastic differential equation. (English) Zbl 1470.92199 Math. Biosci. Eng. 17, No. 3, 2236-2271 (2020). MSC: 92C75 60H15 35Q92 PDFBibTeX XMLCite \textit{Y. Rohanizadegan} et al., Math. Biosci. Eng. 17, No. 3, 2236--2271 (2020; Zbl 1470.92199) Full Text: DOI
Emerenini, Blessing O.; Sonner, Stefanie; Eberl, Hermann J. Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects. (English) Zbl 1358.35203 Math. Biosci. Eng. 14, No. 3, 625-653 (2017). MSC: 35Q92 35K65 92D25 35A01 35A02 PDFBibTeX XMLCite \textit{B. O. Emerenini} et al., Math. Biosci. Eng. 14, No. 3, 625--653 (2017; Zbl 1358.35203) Full Text: DOI
Mašić, Alma; Eberl, Hermann J. On optimization of substrate removal in a bioreactor with wall attached and suspended bacteria. (English) Zbl 1333.92010 Math. Biosci. Eng. 11, No. 5, 1139-1166 (2014). MSC: 92B99 49N90 PDFBibTeX XMLCite \textit{A. Mašić} and \textit{H. J. Eberl}, Math. Biosci. Eng. 11, No. 5, 1139--1166 (2014; Zbl 1333.92010) Full Text: DOI
Abbas, Fazal; Sudarsan, Rangarajan; Eberl, Hermann J. Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates. (English) Zbl 1260.92008 Math. Biosci. Eng. 9, No. 2, 215-239 (2012). MSC: 92C05 34C60 92C35 PDFBibTeX XMLCite \textit{F. Abbas} et al., Math. Biosci. Eng. 9, No. 2, 215--239 (2012; Zbl 1260.92008) Full Text: DOI