Prof. Hermann Eberl
Department of Mathematics and Statistics, University of Guelph, Guelph, ON N1G2W1, Canada
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Academic Career Length
23Years (2004-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications10 April 2011 in Theoretical Biology and Medical Modelling
Journal Article
MFMallory R Frederick
Mallory R FrederickCKChristina Kuttler
Christina KuttlerBHBurkhard A. Hense
Burkhard A. HenseHermann EberlBiofilms are microbial communities encased in a layer of extracellular polymeric substances (EPS). The EPS matrix provides several functional purposes for the biofilm, such as protecting bacteria from environmental stresses, and providing mechanical stability. Quorum sensing is a cell-cell communication mechanism used by several bacterial taxa to coordinate gene expression and behaviour in groups, based on population densities.
18 November 2015 in Bulletin of Mathematical Biology
Journal Article
1 August 2008 in Journal of Theoretical Biology
Journal Article
Hermann EberlRSRangarajan Sudarsan
Rangarajan Sudarsan
1 January 2009 in Communications on Pure and Applied Analysis
Journal Article
A nonlinear, density-dependent system of diffusion-reaction equations describing development of bacterial biofilms is analyzed. It comprises two non-standard diffusion effects, degeneracy as in the porous medium equation and fast diffusion. The existence of a unique bounded solution and a global attractor is proved in dependence of the boundary conditions. This is achieved by studying a system of non-degenerate auxiliary approximation equations and the construction of a Lipschitz continuous semigroup by passing to the limit in the approximation parameter. Numerical examples are included in order to illustrate the main result.
1 August 2015 in Bulletin of Mathematical Biology
Journal Article
5 December 2013 in Bulletin of Mathematical Biology
Journal Article
AMAlma Mašić
Alma MašićHermann EberlAbout Me
Prof. Dr. Hermann J. Eberl is a Professor in the Department of Mathematics and Statistics at the University of Guelph (Canada), where he is also the Director of the Biophysics Interdepartmental Graduate Program. Prior to joining the University of Guelph, he obtained his graduate degrees (Dipl.Math., Dr.rer.nat) at the Technical University of Munich (Germany) and was a postdoctoral fellow first at the Delft University of Technology (the Netherlands), and then at the GSF National Research Center for Environment and Health in Oberschleissheim (Germany). His research is in mathematical modeling, analysis, and simulation of biological systems and their interaction with their physical environment. This encompasses dynamical systems, partial differential equations, numerical analysis, and scientific computing. The two primary strands of his research in recent years were the development and application of mathematical methods in biofilm research and the mathematical modeling of honeybee colonies and their diseases.