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Hermann Eberl
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Mathematical modeling of biofilms
O Wanner
4252006
A new deterministic spatio-temporal continuum model for biofilm development
MCM Hermann J Eberl, David F. Parker
Journal of Theoretical Medicine 3 (3), 167-175, 2001
302*2001
Mathematical modelling of biofilm structures
MCM Van Loosdrecht, JJ Heijnen, H Eberl, J Kreft, C Picioreanu
Antonie van Leeuwenhoek 81, 245-256, 2002
2992002
A mathematical model of quorum sensing regulated EPS production in biofilm communities
MR Frederick, C Kuttler, BA Hense, HJ Eberl
Theoretical Biology and Medical Modelling 8, 1-29, 2011
2792011
A three-dimensional numerical study on the correlation of spatial structure, hydrodynamic conditions, and mass transfer and conversion in biofilms
HJ Eberl, C Picioreanu, JJ Heijnen, MCM Van Loosdrecht
Chemical Engineering Science 55 (24), 6209-6222, 2000
2102000
A finite difference scheme for a degenerated diffusion equation arising in microbial ecology
HJ Eberl, L Demaret
Electron. J. Differ. Equ 15, 77-95, 2007
1042007
A mathematical model of quorum sensing induced biofilm detachment
BO Emerenini, BA Hense, C Kuttler, HJ Eberl
PloS one 10 (7), e0132385, 2015
1002015
Mathematical modelling of biofilms
C Picioreanu, B Rittmann, M Van Loosdrecht
IWA Publishing, London, UK, 2006
99*2006
Exposure of biofilms to slow flow fields: The convective contribution to growth and disinfection
HJ Eberl, R Sudarsan
Journal of theoretical biology 253 (4), 788-807, 2008
782008
Comparing biofilm models for a single species biofilm system
E Morgenroth, HJ Eberl, MCM Van Loosdrecht, DR Noguera, GE Pizarro, ...
Water Science and Technology 49 (11-12), 145-154, 2004
592004
EXISTENCE AND LONGTIME BEHAVIOR OF SOLUTIONS OF A NONLINEAR REACTION-DIFFUSION SYSTEM ARISING IN THE MODELING OF BIOFILMS (Nonlinear Diffusive Systems and Related Topics)
MA Efendiev, HJ Eberl, SV Zelik
数理解析研究所講究録 1258, 49-71, 2002
562002
Evaluating 3-D and 1-D mathematical models for mass transport in heterogeneous biofilms
E Morgenroth, H Eberl, MC van Loosdrecht
Water Science and Technology 41 (4-5), 347-356, 2000
552000
A mixed-culture biofilm model with cross-diffusion
KA Rahman, R Sudarsan, HJ Eberl
Bulletin of mathematical biology 77, 2086-2124, 2015
522015
Importance of brood maintenance terms in simple models of the honeybee-Varroa destructor-acute bee paralysis virus complex.
HJ Eberl, MR Frederick, PG Kevan
Electronic Journal of Differential Equations (EJDE)[electronic only] 2010, 85-98, 2010
512010
Flow currents and ventilation in Langstroth beehives due to brood thermoregulation efforts of honeybees
R Sudarsan, C Thompson, PG Kevan, HJ Eberl
Journal of theoretical biology 295, 168-193, 2012
502012
A modeling and simulation study of the role of suspended microbial populations in nitrification in a biofilm reactor
A Mašić, HJ Eberl
Bulletin of mathematical biology 76, 27-58, 2014
432014
Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates
F Abbas, R Sudarsan, HJ Eberl
Mathematical Biosciences & Engineering 9 (2), 215-239, 2012
432012
A mathematical model of quorum sensing in patchy biofilm communities with slow background flow
M Frederick, C Kuttler, BA Hense, J Müller, HJ Eberl
Canadian Applied Mathematics Quarterly 18 (3), 267-298, 2010
422010
A modeling and simulation study of siderophore mediated antagonism in dual-species biofilms
HJ Eberl, S Collinson
Theoretical Biology and Medical Modelling 6, 1-16, 2009
402009
A Mathematical Model of Forager Loss in Honeybee Colonies Infested with Varroa destructor and the Acute Bee Paralysis Virus
V Ratti, PG Kevan, HJ Eberl
Bulletin of mathematical biology 79, 1218-1253, 2017
392017
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