Hermann J. Eberl, Univ. Guelph
 

Scientific Publications
 

H Eberl, A Khelil, P Wilderer. Construction Of Simplified Descriptions Of A Sewer System To Characterize Its Hydraulic Behaviour, Proc. 7th Int.Conf. on Urban Storm Drainage, Hannover, 1996

H Eberl, A Khelil, P Wilderer. Multiple Data Parameter Identification For Nonlinear Conceptual Models, Proc. 4th Int.Conf. Systems Analysis and Computing in Water Quality Management, WATERMATEX `97, Quebec City, 1997

A Khelil, S Achatz, H-J Anton, H Eberl, P Schaad, P Wilderer. Online Prediction of Rainfall Inflows into Drainage Systems. Modelling, Calibration, Verification in: Wilderer et al. (eds) Treatment of Solid Waste and Wastewater, BayFORREST Report Series, Nr.6, 1997

H Eberl, A Khelil, P Wilderer. Multiple Data Parameter Identification For Nonlinear Conceptual Models, Wat. Sci. & Tech., 36(5):61-68, 1997

HJ Eberl. Nichtlineare hydrologische Konzeptmodelle für den Kanalabfluß und ihre Kalibrierung, Berichte aus Wassergüte- und Abfallwirtschaft Nr.139, TUM, 171 pages, 1998

A Khelil, S Achatz, H-J Anton, H Eberl, P Wilderer, P Schaad. On-line Vorhersage der Zuflussbelastung eines Entwässerungssystems - Modellierung, Kalibrierung, Verifizierung, Korresp. Abwasser 45(8), 1998

E Morgenroth, H Eberl, M van Loosdrecht. Evaluating 3d and 1d mathematical models for mass transport in heterogenous biofilms, Wat. Sci. & Tech, 41(4/5):347-356, 2000

HJ Eberl. Power series approach to holistic sewer system modelling, ASCE J. of Hydraulic Eng., 126(3):179-184, 2000

HJ Eberl, C Picioreanu, MCM van Loosdrecht. Modeling Geometrical Heterogeneity in Biofilms,  in Andrew Pollard et al (ed), High Performance Computing Systems and Applications, Kluwer Acad. Publishers, 2000

HJ Eberl. Two Degrees of Freedom in Sample-Edgeworth-Pareto Parameter Identification for Nonlinear Lumped Urban Storm Drainage Models, Proc.  5th Int. Symposium and Systems Analysis and Computing in Water Quality Management, WATERMATEX 2000, Gent, 2000

HJ Eberl, C Picioreanu, JJ Heijnen, MCM van Loosdrecht. A Three-Dimensional Numerical Study on the Correlation of Spatial Structure, Hydrodynamic Conditions, and Mass Transfer and Conversion in Biofilms,  Chem. Eng. Sci, 55:6209-6222, 2000

HJ Eberl, DF Parker, MCM van Loosdrecht. A new Deterministic Spatio-Temporal Continuum Model For Biofilm Development, J.of Theor. Medicine, 3(3):161-175, 2001

MA Efendiev, HJ Eberl, SV Zelik. Existence and Longtime Behavior of Solutions of a Nonlinear Reaction-Diffusion System Arising in the Modeling of Biofilms, RIMS Kyoto Kokyuroko, Vol. 1258, 2002

MCM van Loosdrecht, JJ Heijnen, H Eberl, J Kreft, C Picioreanu. Mathematical Modelling of Biofilm Structures, Antonie van Leeuwenhoek - Int. J. of General and Molec. Microbiology, 81(1):245-256, 2002

HJ Eberl, MA Efendiev. A Transient Density Dependent Diffusion-Reaction Model for the Limitation of Antibiotic Penetration in Biofilms. Electr. J. Diff Equ. CS10:123-142, 2003

HJ Eberl. What do biofilm models, mechanical ducks, and artificial life have in common?, in S. Wuertz, P. Wilderer & P. Bishop (eds.), Biofilms in Wastewater Treatment: An Interdisciplinary Approach, IWA Publishing, 2003

HJ Eberl, Efendiev MA, Modeling, analysis, and simulation of biofilm formation and decay, PAMM 2(1):430-431, 2003

HJ Eberl. Simulation of Chemical Reaction Fronts In Anaerobic Digestion Of Solid Waste, LNCS 2667:503-512, 2003

Morgenroth E, Eberl HJ, Van Loosdrecht MCM, Noguera DR, Picioreanu C, Rittmann BE, Schwarz AO, Wanner O. Results from the single species benchmark problem (BM1),  Wat. Sci.& Tech., 49(11/12):145-154, 2004

Eberl HJ, Van Loosdrecht MCM, Morgenroth E, Noguera DR, Perez J, Picioreanu C, Rittmann BE, Schwarz A, Wanner O. Modelling a spatially heterogeneous biofilm and the bulk fluid- selected results from the fluid flow benchmark problem (BM2), Wat. Sci. & Tech., 49(11/12):155-162, 2004

Rittmann BE, Schwarz AO, Eberl HJ, Morgenroth E, Perez J, Van Loosdrecht MCM, Wanner O. Results from the multi-species benchmark problem using one-dimensional models (BM3), Wat.Sci. & Tech., 49(11/12):163-168, 2004

Nguyen VT, Eberl H. A Complete CFD Tool For Flood Forecasting, Proc. CFD Soc. of Canada, 2004

Eberl HJ. A deterministic continuum model for the formation of EPS in heterogeneous biofilm architectures,  Proc. Biofilms 2004, Las Vegas, 2004

Nguyen VT, Morgenroth E, Eberl HJ, A mesoscale model for hydrodynamics in biofilms that takes microscopic flow effects into account, Wat. Sci. & Tech., 52(7):167-172, 2005

Sudarsan R, Milferstedt K, Morgenroth E, Eberl HJ. Quantification of detachment forces on rigid biofiln colonies in a roto torque reactor using computational fluid dynamics tools, Wat. Sci. & Tech. 52(7):149-154. 2005

Eberl HJ. Spatio-Temporal Effects In Anaerobic Digestion Of Solid Waste, Nonlinear Analysis, 63(5):1497-1505, 2005

Duvnjak A, Eberl HJ, Time-discretization of a Degenerated Reaction-Diffusion Equation Arising In Biofilm Modeling, Electr. Trans. Num. Analysis, 23, 2006

Khassehkhan H, Eberl HJ, Interface tracking for a non-linear degenerated diffusion-reaction equation describing biofilm formation, Dyn. Cont. Disc. Imp. Sys. A, 13SA:131-144, 2006

Wanner O. Eberl H, Morgenroth E, Noguera D, Picioreanu C, Rittmann B, van Loosdrecht MCM, Mathematical Modeling of Biofilms, 178pp., IWA Publishing, London, 2006 (Research Monograph)

Wanner O, Eberl HJ, Morgenroth E, Noguera DR, Picioreanu C, Rittmann BE, van Loosdrecht MCM, Deciphering biofilms, Water 21, June, 2006

Efendiev MA, Eberl HJ, On positivity of solutions of semi-linear convection-diffusion-reaction systems, with applications in ecology and environmental engineering, RIMS Kyoto Kokyuroko, 1542:92-101, 2007

Eberl HJ, Schraft H, A diffusion-reaction model of a mixed culture biofilm arising in food safety studies, in A. Deutsch et al (eds), Mathematical Modeling of Biological Systems, Vol. II, Birkhaeuser, 2007

Khassehkhan H, Eberl HJ, Modeling and simulation of a bacterial biofilm that is controlled by pH and protonated lactic acids, Comp. Math. Meth. Med., 9(1):47-67, 2008

Demaret L, Eberl H, Efendiev M, Lasser R. Analysis and Simulation of a Meso-scale Model of Diffusive Resistance of Bacterial Biofilms to Penetration of Antibiotics, Adv. Math. Sci. Appls, 18(1):269-304, 2008

Fgaier, H, Feher, B, McKellar RC, Eberl HJ, Predictive Modeling of Siderphore Production by Pseudomonas fluorescens Under Iron Limitation, J. Theor. Biology, 251(2):348-362, 2008

Eberl HJ, Muhammad N, Sudarsan R, Computing Intensive Simulations in Biofilm Modeling, Proc. 22nd Int. High Performance Computing Systems and Applications (HPCS2008), Quebec City, pp. 132-138, IEEE Proceedings, 2008

Xu J, Sudarsan R, Darlington GA, Eberl HJ, A computational study of external shear forces in biofilm clusters, Proc 22nd Int. High Performance Computing Systems and Applications (HPCS2008), Quebec City, pp. 139-145, IEEE Proceedings, 2008

Eberl HJ, Sudarsan R. Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfection, J. Theoretical Biology, 253(4):788-807, 2008

Efendiev MA, Zelik SV, Eberl HJ, Existence and longtime behavior of a biofilm model, Comm. Pure and Appl. Analysis, 8(2):509-531, 2009

Demaret L, Eberl HJ, Efendiev MA, Maloszewski P, An extension of biobarrier formation and bio-clogging models that accounts for spatial spreading of bacteria in a saturated porous medium, Electr. J. Diff Eqs. CS 17:51-69, 2009

Fgaier H, Eberl HJ, Parameter identification and quantitative comparison of differential equations that describe physiological adaptation of a bacterial population under iron limitation,Discrete and Continuous Dynamic Systems Supplement, pp 230-239, 2009

Khassehkhan H, Hillen T, Eberl HJ, A nonlinear master equation for a degenerate diffusion model of biofilm growth, LNCS, 5544:735-744, 2009

Khassehkhan H, Efendiev MA, Eberl HJ, Existence and simulations of solutions to a degenrate diffusion-reaction model of an amensalistic biofilm control system, Discrete and Continuous Dynamic Systems B, 12(2):371-388, 2009

Eberl HJ, Collinson S, A modeling and simulation study of siderophore mediated antagonsim in dual-species biofilms, Theor. Biol. Med. Mod., 6:30, 2009

Eberl HJ, Khassehkhan H, Demaret L, A mixed-culture model of a probiotic biofilm control system, Comp. Math. Meth. Med., 11(2):99-118, 2010

Fgaier H, Eberl HJ. A Competition Model Between Pseudomonas fluorescens and Pathogens Via Iron Chelation, J. Theor. Biol., 263(4):566-578, 2010

Semecheko A, Sudarsan R, Bester E, Wolfaardt G, Dony R, Oliver M, Eberl H. Influence of light attenuation on biofilm parameters evaluated from CLSM image data, Proc. 33rd Conf Can. Med and Biol. Eng. Soc, Vancouver, 2010

Eberl HJ, Frederick M, Kevan P. The importance of brood maintenance terms in simple models of the honeybee – Varroa destructor – acute bee paralysis virus complex, El. J. Diff. Eq CS 19:85-98, 2010

Frederick M, Kuttler C, Hense BA, Müller J, Eberl HJ. A mathematical model of quorum sensing in patchy biofilm communities with slow background flow, Can. Appl. Math. Quart, 18(3):267-298, 2010

Eberl HJ, Sudarsan R. A brief note on ecological and mechanical views in biofilm modeling, Int. J. Biomath Biostats, 1(1):33-45, 2010

Sonner S, Efendiev MA, Eberl HJ. On the Well-Posedness of a Mathematical Model of Quorum-Sensing in Patchy Biofilm Communities, Math. Meth. Appl. Sc., 34(13):1667-1684,  2011

Fgaier H, Eberl HJ. Antagonistic control of microbial pathogens under iron limitations by siderophore producing bacteria in a chemostat setup, J. Theor. Biol., 273(1):103-114, 2011

Semechko A, Sudarsan R, Bester E,  Dony R,  Eberl H. Influence of light attenuation on biofilm parameters evaluated from CLSM image data, J. Med. Biol. Eng., 31(2):135-144, 2011

Frederick MR, Kuttler C, Hense BA, Eberl HJ. A mathematical model of quorum sensing regulated EPS production in biofilms, Theor. Biol. Med. Mod., 8:8, 2011

Abbas F, Eberl HJ. Analytical flux approximation for the Monod boundary value problem, Appl. Math & Comp., 218(4):1484-1494, 2011

Muhammad N, Eberl HJ. Model parameter uncertainties in a dual-species biofilm competition model affect ecological output parameters much stronger than morphological ones. Math. Biosci., 233(1):1-18, 2011

Abbas F, Eberl HJ. Investigation of the role of mesoscale detachment rate expressions in a macroscale model of a porous medium biofilm reactor, Int. J. Biomath and Biostats, accepted [scheduled for 2(1), 2011]

Masic A, Eberl HJ. Reactor performance in a multi-species, multi-substrate mitrifying CSTR with floc forming suspended bacteria and biofilms, IWA Biofilm Conference 2011: Processes in Biofilms, Shanghai, Oct 2011

Sudarsan R, Semechko A, Eberl HJ. Effect of Intensity Attenuation (IA) correction on biofilm parameters measured from CLSM image data, IWA Biofilm Conference 2011: Processes in Biofilms, Shanghai, Oct 2011

Abbas F, Sudarsan R, Eberl HJ. Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates, Math.Biosc. Eng., 9(2), 2012

Masic A, Eberl HJ. Persistence in a single species CSTR model with suspended flocs and wall attached biofilms, Bull. Math. Biol., accepted

Sudarsan R, Thompson CG, Kevan PG, Eberl HJ. Flow currents and ventilation in Langstroth beehives due to brood thermoregulation efforts of honeybees, J. Theor. Biol., 295:168-193, 2012