N. .. Du and N. , 123 4.3.4 Vers l'échelle macroscopique : pertinence de l'hypothèse d'équilibre de masse local, p.126
URL : https://hal.archives-ouvertes.fr/hal-01133610

M. Abriola, Modeling multiphase migration of organic chemicals in groundwater systems-a review and assessment, Environmental Health Perspectives, vol.83, pp.143-148, 1989.

A. Ahmadi, E. M. Aigueperse, and . Quintard, Calculation of the effective properties describing active dispersion in porous media: from simple to complex unit cells, Advances in Water Resources, vol.24, issue.3-4, pp.423-438, 2001.
DOI : 10.1016/S0309-1708(00)00065-8

D. Bader, M. Kansour, R. Rayan, and E. S. Radwan, Biofilm comprising phototrophic, diazotrophic, and hydrocarbon-utilizing bacteria: a promising consortium in the bioremediation of aquatic hydrocarbon pollutants, Environmental Science and Pollution Research, vol.18, issue.2, pp.3252-3262
DOI : 10.1016/j.copbio.2007.04.006

D. G. Allison, D. J. Evans, M. R. Brown, and E. P. Gilbert, Possible involvement of the division cycle in dispersal of Escherichia coli from biofilms., Journal of Bacteriology, vol.172, issue.3, pp.1667-1669, 1990.
DOI : 10.1128/jb.172.3.1667-1669.1990

E. Alpkvist and I. Klapper, A Multidimensional Multispecies Continuum Model for Heterogeneous Biofilm Development, Bulletin of Mathematical Biology, vol.69, issue.7, pp.765-789, 2007.
DOI : 10.1007/s11538-007-9212-2

E. Alpkvist, C. Picioreanu, M. C. Van-loosdrecht, and E. A. Heyden, Three-dimensional biofilm model with individual cells and continuum EPS matrix, Biotechnology and Bioengineering, vol.91, issue.5, pp.961-979, 2006.
DOI : 10.1099/00221287-147-11-2897

R. T. Armstrong and D. Wildenschild, Investigating the pore-scale mechanisms of microbial enhanced oil recovery, Journal of Petroleum Science and Engineering, vol.94, issue.95, pp.155-164, 2012.
DOI : 10.1016/j.petrol.2012.06.031

T. B. Bahar, Influence d'une phase microbienne sur le comportement d'un polluant en conditions multiphasiques, Thèse de doctorat, pp.126-135, 2015.

I. M. Banat, S. R. Makkar, and S. S. Cameotra, Potential commercial applications of microbial surfactants, Applied Microbiology and Biotechnology, vol.53, issue.5, pp.495-508, 2000.
DOI : 10.1007/s002530051648

A. Barak, Control of development of biofilms in industrial process water, Juillet US Patent, vol.3, 2006.

N. B. Basu, A. D. Fure, and J. W. Jawitz, Predicting dense nonaqueous phase liquid dissolution using a simplified source depletion model parameterized with partitioning tracers, Water Resources Research, vol.72, issue.5, p.7414, 2008.
DOI : 10.1016/j.jconhyd.2003.11.002

D. J. Batstone, C. Picioreanu, and M. C. Van-loosdrecht, Multidimensional modelling to investigate interspecies hydrogen transfer in anaerobic biofilms, Water Research, vol.40, issue.16, pp.3099-3108, 2006.
DOI : 10.1016/j.watres.2006.06.014

E. Ben-jacob, O. Schochet, A. Tenenbaum, I. Cohen, A. Czirok et al., Generic modelling of cooperative growth patterns in bacterial colonies, Nature, vol.368, issue.6466, pp.46-49, 1994.
DOI : 10.1038/368046a0

M. Böl, R. B. Möhle, M. Haesner, T. R. Neu, H. Horn et al., 3D finite element model of biofilm detachment using real biofilm structures from CLSM data, Biotechnology and Bioengineering, vol.91, issue.1, pp.177-186, 2009.
DOI : 10.1002/bit.22235

D. G. Bourne, L. Hoj, N. S. Webster, J. Swan, and M. R. Hall, Biofilm development within a larval rearing tank of the tropical rock lobster, Panulirus ornatus, Aquaculture, vol.260, issue.1-4, pp.27-38, 2006.
DOI : 10.1016/j.aquaculture.2006.06.023

G. Brackman, U. Hillaert, S. Van-calenbergh, H. J. Nelis, and E. T. Coenye, Use of quorum sensing inhibitors to interfere with biofilm formation and development in Burkholderia multivorans and Burkholderia cenocepacia, Research in Microbiology, vol.160, issue.2, pp.144-151, 2009.
DOI : 10.1016/j.resmic.2008.12.003

S. A. Bradford, T. J. Phelan, and L. M. Abriola, Dissolution of residual tetrachloroethylene in fractional wettability porous media: correlation development and application, Journal of Contaminant Hydrology, vol.45, issue.1-2, pp.35-61, 2000.
DOI : 10.1016/S0169-7722(00)00118-2

M. L. Brusseau, G. Schnaar, S. Peng, and M. S. Costanza-robinson, Relationships among air-water interfacial area, capillary pressure, and water saturation for a sandy porous medium, Water Resources Research, vol.267, issue.10, pp.3501-3511, 2006.
DOI : 10.1016/S0022-1694(02)00157-9

J. D. Bryers, Biofilm formation and persistence, 2000.

C. R. Bunt, D. S. Jones, and I. G. Tucker, The effects of pH, ionic strength and organic phase on the bacterial adhesion to hydrocarbons (BATH) test, International Journal of Pharmaceutics, vol.99, issue.2-3, pp.93-98, 1993.
DOI : 10.1016/0378-5173(93)90350-O

B. Carpentier and O. Cerf, Biofilms and their consequences, with particular reference to hygiene in the food industry, Journal of Applied Bacteriology, vol.46, issue.6, pp.499-511, 1993.
DOI : 10.1080/08927019209378252

H. T. Chang, B. E. Rittmann, D. Amar, R. Heim, O. Ehlinger et al., Biofilm detachment mechanisms in a liquid-fluidized bed, Biotechnology and Bioengineering, vol.62, issue.5, pp.499-506, 1991.
DOI : 10.1002/bit.260380508

W. G. Characklis, Attached microbial growths???II. Frictional resistance due to microbial slimes, Water Research, vol.7, issue.9, pp.1249-1258, 1973.
DOI : 10.1016/0043-1354(73)90002-X

R. Chesnaux, Analytical closed-form solutions for assessing pumping cycles, times, and costs required for NAPL remediation, Environmental Geology, vol.24, issue.10, pp.1381-1388, 2008.
DOI : 10.1111/j.1745-6592.1997.tb01285.x

R. A. Chmielewski and J. F. Frank, Biofilm Formation and Control in Food Processing Facilities, Comprehensive Reviews in Food Science and Food Safety, vol.29, issue.7, pp.22-32, 2003.
DOI : 10.1111/j.1574-6976.2000.tb00565.x

Y. C. Choi and E. Morgenroth, Monitoring biofilm detachment under dynamic changes in shear stress using laser-based particle size analysis and mass fractionation, Water Science, vol.47, pp.69-76, 2003.

J. A. Christ, C. A. Ramsburg, K. D. Pennell, and L. M. Abriola, Estimating mass discharge from dense nonaqueous phase liquid source zones using upscaled mass transfer coefficients: An evaluation using multiphase numerical simulations, Water Resources Research, vol.72, issue.3, 2006.
DOI : 10.1016/j.jconhyd.2003.11.002

M. Chu, P. K. Kitanidis, and P. L. Mccarty, Possible factors controlling the effectiveness of bioenhanced dissolution of non-aqueous phase tetrachloroethene Advances in Water Ressources, pp.601-615, 2004.

C. L. Chun, J. J. Lee, and J. W. Park, Solubilization of PAH mixtures by three different anionic surfactants, Environmental Pollution, vol.118, issue.3, pp.307-313, 2002.
DOI : 10.1016/S0269-7491(01)00304-9

S. E. Coetser and T. E. Cloete, Biofouling and Biocorrosion in Industrial Water Systems, Critical Reviews in Microbiology, vol.131, issue.3, pp.213-232, 2005.
DOI : 10.1007/BF00411187

N. G. Cogan and J. P. Keener, The role of the biofilm matrix in structural development, Mathematical Medicine and Biology, vol.21, issue.2, pp.147-166, 2004.
DOI : 10.1093/imammb/21.2.147

R. L. Colasanti, Cellular automata models of microbial colonies. Binary, computing in microbiology, pp.191-193, 1992.

J. W. Costerton, G. G. Geesey, and K. Cheng, How Bacteria Stick, Scientific American, vol.238, issue.1, pp.86-95, 1978.
DOI : 10.1038/scientificamerican0178-86

J. W. Costerton, D. E. Caldwell, D. R. Korber, and H. M. Lappin-scott, Microbial Biofilms, Annual Review of Microbiology, vol.49, issue.1, pp.711-745, 1994.
DOI : 10.1146/annurev.mi.49.100195.003431

J. W. Costerton, R. T. Irvin, and K. J. Cheng, The Bacterial Glycocalyx in Nature and Disease, Annual Review of Microbiology, vol.35, issue.1, pp.299-324, 1981.
DOI : 10.1146/annurev.mi.35.100181.001503

M. M. Cowan, T. M. Warren, and E. M. Fletcher, Mixed???species colonization of solid surfaces in laboratory biofilms, Biofouling, vol.54, issue.1, pp.23-34, 1991.
DOI : 10.3109/10408418209113562

K. A. Culligan, D. Wildenschild, B. S. Christensen, M. L. Rivers, W. G. Gray et al., Interfacial area measurements for unsaturated flow through a porous medium, Water Resources Research, vol.53, issue.10, pp.12413-12423, 2004.
DOI : 10.1103/PhysRevE.53.1516

K. A. Culligan, D. Wildenschild, B. S. Christensen, M. L. Rivers, W. G. Gray et al., Pore-scale characteristics of multiphase flow in porous media: A comparison of air???water and oil???water experiments, Advances in Water Resources, vol.29, issue.2, pp.227-238, 2006.
DOI : 10.1016/j.advwatres.2005.03.021

J. Cuny, Etude du couplage hydrodynamique/croissance des biofilms, pp.26-64, 2014.

D. G. Davies, M. R. Parsek, J. P. Pearson, B. H. Iglewski, J. W. Costerton et al., The Involvement of Cell-to-Cell Signals in the Development of a Bacterial Biofilm, Science, vol.280, issue.5361, pp.280295-298, 1998.
DOI : 10.1126/science.280.5361.295

Y. Davit, G. Iltis, G. Debenest, S. Veran-tissoires, D. Wildenschild et al., Imaging biofilm in porous media using X-ray computed microtomography, Journal of Microscopy, vol.11, issue.3, pp.15-25
DOI : 10.1117/1.2209962

D. De-beer, P. Stoodly, F. Roe, and E. Z. Lewandowski, Effects of biofilm structures on oxygen distribution and mass transport, Biotechnology and Bioengineering, vol.36, issue.11, pp.1131-1138, 1994.
DOI : 10.1103/PhysRev.111.1201

A. W. Decho, Microbial biofilms in intertidal systems: an overview, Continental Shelf Research, vol.20, issue.10-11, pp.10-111257, 2000.
DOI : 10.1016/S0278-4343(00)00022-4

W. Deng, M. B. Cardenas, M. F. Kirk, S. J. Altman, and P. C. Bennett, Effect of Permeable Biofilm on Micro- And Macro-Scale Flow and Transport in Bioclogged Pores, Environmental Science & Technology, vol.47, issue.19, pp.4711092-11098
DOI : 10.1021/es402596v

N. Derlon, I. Coufort-saudejaud, E. E. Queinnec, and . Paul, Growth limiting conditions and denitrification govern extent and frequency of volume detachment of biofilms, Chemical Engineering Journal, vol.218, pp.368-375, 2013.
DOI : 10.1016/j.cej.2012.11.061

URL : https://hal.archives-ouvertes.fr/hal-00875873

N. Derlon, A. Masse, R. Escudié, N. Bernet, and E. E. Paul, Stratification in the cohesion of biofilms grown under various environmental conditions, Water Research, vol.42, issue.8-9, pp.2102-2110, 2008.
DOI : 10.1016/j.watres.2007.11.016

J. D. Desai and I. M. Banat, Microbial production of surfactants and their commercial potential, Microbiology and Molecular Biology Reviews, vol.91, pp.47-64, 1997.

L. A. Dillard and M. J. Blunt, Development of a pore network simulation model to study nonaqueous phase liquid dissolution, Water Resources Research, vol.29, issue.10, pp.439-454, 2000.
DOI : 10.1023/A:1006501308769

J. Dockery and I. Klapper, Finger formation in biofilm layers, SIAM Journal on Applied Mathematics, vol.62, issue.17, pp.853-869, 2001.

W. D. Donachie and A. C. Robinson, Cell division : parameter values and the process, Escherichia coli and Salmonella typhimurium, 1996.

R. Duddu, D. L. Chopp, and E. B. Moran, A two-dimensional continuum model of biofilm growth incorporating fluid flow and shear stress based detachment, Biotechnology and Bioengineering, vol.196, issue.41-44, pp.92-104, 2009.
DOI : 10.2140/camcos.2006.1.207

J. P. Eberhard, R. E. Ewing, and E. A. Cunningham, Coupled Cellular Models for Biofilm Growth and Hydrodynamic Flow in a Pipe, International Journal for Multiscale Computational Engineering, vol.3, issue.4, pp.499-516, 2005.
DOI : 10.1615/IntJMultCompEng.v3.i4.70

H. J. Eberl, D. F. Parker, and M. C. Van-loosdrecht, A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development, Journal of Theoretical Medicine, vol.3, issue.3, pp.161-175, 2001.
DOI : 10.1080/10273660108833072

H. J. Eberl, C. Picioreanu, J. J. Heijnen, and M. C. Van-loosdrecht, A three-dimensional numerical study on the correlation of spatial structure, hydrodynamic conditions, and mass transfer and conversion in biofilms, Chemical Engineering Science, vol.55, issue.24, pp.6209-6222, 2000.
DOI : 10.1016/S0009-2509(00)00169-X

A. Ebigbo, F. Golfier, and E. M. Quintard, A coupled, pore-scale model for methanogenic microbial activity in underground hydrogen storage, Advances in Water Resources, vol.61, pp.74-85, 2013.
DOI : 10.1016/j.advwatres.2013.09.004

URL : https://hal.archives-ouvertes.fr/hal-01301169

C. Ebrahimi, J. B. Picioreanu, R. Xavier, M. Kleerebezem, F. Kreutzer et al., Biofilm growth pattern in honeycomb monolith packings: Effect of shear rate and substrate transport limitations, Catalysis Today, vol.105, issue.3-4, pp.448-454, 2005.
DOI : 10.1016/j.cattod.2005.06.051

D. Elenter, K. Milferstedt, W. Zhang, M. Hausner, and E. E. Morgenroth, Influence of detachment on substrate removal and microbial ecology in a heterotrophic/autotrophic biofilm, Water Research, vol.41, issue.20, pp.4657-4671, 2007.
DOI : 10.1016/j.watres.2007.06.050

C. S. Laspidou and B. E. Rittmann, Modeling the development of biofilm density including active bacteria, inert biomass, and extracellular polymeric substances, Water Research, vol.38, issue.14-15, pp.3349-3361, 2004.
DOI : 10.1016/j.watres.2004.04.037

P. Fischer, Modélisation de la biodégradation des NAPLs dans les eaux souterraines, pp.2014-102

H. Fujikawa, Diversity of the growth patterns of Bacillus subtilis colonies on agar plates, FEMS Microbiology Ecology, vol.12, issue.3, pp.159-168, 1994.
DOI : 10.1007/978-1-4684-7609-5_10

W. C. Fuqua, S. C. Winans, and E. P. Greenberg, Quorum sensing in bacteria: the LuxR-LuxI family of cell density-responsive transcriptional regulators., Journal of Bacteriology, vol.176, issue.2, pp.269-275, 1994.
DOI : 10.1128/jb.176.2.269-275.1994

M. Garcia-junco, C. Gomez-lahoz, J. L. Niqui-arroyo, and E. J. Ortega-calvo, Biosurfactant- and Biodegradation-Enhanced Partitioning of Polycyclic Aromatic Hydrocarbons from Nonaqueous-Phase Liquids, Environmental Science & Technology, vol.37, issue.13, pp.2988-2996, 2003.
DOI : 10.1021/es020197q

K. Garny, T. R. Neu, and E. H. Horn, Sloughing and limited substrate conditions trigger filamentous growth in heterotrophic biofilms???Measurements in flow-through tube reactor, Chemical Engineering Science, vol.64, issue.11, pp.2723-2732, 2009.
DOI : 10.1016/j.ces.2009.03.009

J. T. Geller and J. R. Hunt, Mass transfer from nonaqueous phase organic liquids in water-saturated porous media, Water Resources Research, vol.29, issue.1, pp.833-845, 1993.
DOI : 10.1016/0169-7722(91)90013-Q

F. Golfier, B. D. Wood, L. Orgogozo, M. Quintard, and M. A. Buès, Biofilms in porous media: Development of macroscopic transport equations via volume averaging with closure for local mass equilibrium conditions, Advances in Water Resources, vol.32, issue.3, pp.463-485, 2009.
DOI : 10.1016/j.advwatres.2008.11.012

F. Golfier, C. Zarcone, B. Bazin, R. Lenormand, D. Lasseux et al., On the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium, Journal of Fluid Mechanics, vol.457, issue.88, pp.213-254, 2002.
DOI : 10.1017/S0022112002007735

F. L. Hellweger and V. Bucci, A bunch of tiny individuals???Individual-based modeling for microbes, Ecological Modelling, vol.220, issue.1, pp.8-22, 2009.
DOI : 10.1016/j.ecolmodel.2008.09.004

A. T. Henrici, Studies of freshwater bacteria. A direct microscopic technique, Journal of Bacteriology, vol.25, pp.277-287, 1933.

S. W. Hermanowicz, A model of two-dimensional biofilm morphology, Water Science and Technology, vol.37, pp.219-222, 1998.

S. W. Hermanowicz, A simple 2D biofilm model yields a variety of morphological features, Mathematical Biosciences, vol.169, issue.1, pp.1-14, 2001.
DOI : 10.1016/S0025-5564(00)00049-3

H. Heukelekian and A. Heller, Relation between food concentration and surface for bacterial growth, Journal of Bacteriology, vol.40, pp.547-558, 1940.

H. Horn and D. C. Hempel, Growth and decay in an auto-/heterotrophic biofilm, Water Research, vol.31, issue.9, pp.2243-2252, 1997.
DOI : 10.1016/S0043-1354(97)00081-X

H. Horn, H. Reiff, and E. E. Morgenroth, Simulation of growth and detachment in biofilm systems under defined hydrodynamic conditions, Biotechnology and Bioengineering, vol.28, issue.5, pp.607-617, 2003.
DOI : 10.1016/0043-1354(94)90042-6

G. Hua, Y. Zeng, Z. Zhao, K. Cheng, and E. G. Chen, Applying a resting operation to alleviate bioclogging in vertical flow constructed wetlands: An experimental lab evaluation, Journal of Environmental Management, vol.136, pp.47-53
DOI : 10.1016/j.jenvman.2014.01.030

T. Huang, J. Xu, and E. D. Cai, Efficiency of active barriers attaching biofilm as sediment capping to eliminate the internal nitrogen in eutrophic lake and canal, Journal of Environmental Sciences, vol.23, issue.5, pp.738-743
DOI : 10.1016/S1001-0742(10)60469-X

S. M. Hunt, E. M. Werner, B. Huang, M. A. Hamilton, and P. S. Stewart, Hypothesis for the Role of Nutrient Starvation in Biofilm Detachment, Applied and Environmental Microbiology, vol.70, issue.12, pp.7418-7425, 2004.
DOI : 10.1128/AEM.70.12.7418-7425.2004

P. T. Imhoff, P. R. Jaffé, G. F. Et, and . Pinder, An experimental study of complete dissolution of a nonaqueous phase liquid in saturated porous media, Water Resources Research, vol.5, issue.1, pp.307-320, 1994.
DOI : 10.1021/i160017a002

V. Janakiraman, D. Englert, A. Jayaraman, and E. H. Baskaran, Modeling Growth and Quorum Sensing in Biofilms Grown in Microfluidic Chambers, Annals of Biomedical Engineering, vol.64, issue.6, pp.1206-1216, 2009.
DOI : 10.1007/s00285-002-0190-6

C. Jia, K. Shing, and Y. C. Yortsos, Visualization and simulation of non-aqueous phase liquids solubilization in pore networks, Journal of Contaminant Hydrology, vol.35, issue.4, pp.363-387, 1999.
DOI : 10.1016/S0169-7722(98)00102-8

H. C. Jones, I. L. Roth, W. M. Saunders, and I. , Electron microscopic study of a slime layer, Journal of Bacteriology, vol.99, pp.316-325, 1969.

J. T. Walker and P. D. Marsh, A review of biofilms and their role in microbial contamination of dental unit water systems (DUWS), International Biodeterioration & Biodegradation, vol.54, issue.2-3, pp.87-98, 2004.
DOI : 10.1016/j.ibiod.2004.03.012

M. L. Kalmokoff, J. W. Austin, X. Wan, G. Sanders, S. Banerjee et al., Adsorption, attachment and biofilm formation among isolates of Listeria monocytogenes using model conditions, Journal of Applied Microbiology, vol.61, issue.4, pp.725-734, 2001.
DOI : 10.4315/0362-028X-61.8.948

J. J. Kaluarachchi and J. C. Parker, Modeling multicomponent organic chemical transport in three-fluid-phase porous media, Journal of Contaminant Hydrology, vol.5, issue.4, pp.349-374, 1990.
DOI : 10.1016/0169-7722(90)90025-C

G. E. Kapellos, T. S. Alexiou, and A. C. Payatakes, Hierarchical simulator of biofilm growth and dynamics in granular porous materials, Advances in Water Resources, vol.30, issue.6-7, pp.1648-1667, 2007.
DOI : 10.1016/j.advwatres.2006.05.030

J. B. Kaplan, M. F. Meyenhofer, and D. H. Fine, Biofilm Growth and Detachment of Actinobacillus actinomycetemcomitans, Journal of Bacteriology, vol.185, issue.4, pp.1399-1404, 2003.
DOI : 10.1128/JB.185.4.1399-1404.2003

J. B. Kaplan, C. Ragunath, K. Velliyagounder, D. H. Fine, and N. Ramasubbu, Enzymatic Detachment of Staphylococcus epidermidis Biofilms, Antimicrobial Agents and Chemotherapy, vol.48, issue.7, pp.2633-2636, 2004.
DOI : 10.1128/AAC.48.7.2633-2636.2004

M. Katsikogianni and Y. F. Missirlis, Concise review of mechanisms of bacterial adhesion to biomaterials and of techniques used in estimating bacteria-material interactions, European Cells and Materials, vol.8, pp.37-57, 2004.
DOI : 10.22203/eCM.v008a05

C. A. Kennedy and W. C. Lennox, A pore-scale investigation of mass transport from dissolving DNAPL droplets, Journal of Contaminant Hydrology, vol.24, issue.3-4, pp.221-246, 1997.
DOI : 10.1016/S0169-7722(96)00011-3

B. Kent and M. G. Bianchi, REMEDIATION OF NAPL-CONTAMINATED AQUIFERS: IS THE CURE WORTH THE COST?, Journal of Environmental Science and Health, Part A, vol.31, issue.4, pp.1559-1569, 2001.
DOI : 10.1081/ESE-100105731

H. Khassehkhan, M. A. Efendiev, and H. J. , A degenerate diffusionreaction model of an amensalistic biofilm control system : existence and simulation of solutions. Discrete and Continuous Dynamical Systems, Ser. B, vol.12, pp.371-388, 2009.

C. Knutson, A. Valocchi, and E. C. Werth, Comparison of continuum and pore-scale models of nutrient biodegradation under transverse mixing conditions, Advances in Water Resources, vol.30, issue.6-7, pp.1421-1431, 2007.
DOI : 10.1016/j.advwatres.2006.05.012

C. E. Knutson, C. J. Werth, and A. J. Valocchi, Pore-scale simulation of biomass growth along the transverse mixing zone of a model twodimensional porous medium, Water Resources Research, vol.41, issue.7, p.7007, 2005.

A. Kokkinaki, D. M. O-'carroll, C. J. Werth, and B. E. Sleep, An evaluation of Sherwood???Gilland models for NAPL dissolution and their relationship to soil properties, Journal of Contaminant Hydrology, vol.155, pp.87-98
DOI : 10.1016/j.jconhyd.2013.09.007

T. Kone, F. Golfier, L. Orgogozo, C. Oltéan, E. Lefèvre et al., Impact of biofilm-induced heterogeneities on solute transport in porous media, Water Resources Research, vol.68, issue.7, pp.9103-9119
DOI : 10.1128/AEM.68.7.3597-3605.2002

URL : https://hal.archives-ouvertes.fr/hal-01301700

J. Kreft, G. Booth, and J. W. Wimpenny, BacSim, a simulator for individual-based modelling of bacterial colony growth, Microbiology, vol.144, issue.12, pp.3275-3287, 1998.
DOI : 10.1099/00221287-144-12-3275

J. Kreft, C. Picioreanu, J. W. Wimpenny, and M. C. Van-loosdrecht, Individual-based modelling of biofilms, Microbiology, vol.28, issue.11, pp.2897-2912, 2001.
DOI : 10.1016/0043-1354(94)90043-4

J. Kreft and J. W. Wimpenny, Effect of EPS on biofilm structure and function as revealed by an individual-based model of biofilm growth, Water Science and Technology, vol.43, pp.135-141, 2001.

J. Krefta, C. Picioreanu, J. W. Wimpenny, and M. C. Van-loosdrecht, Individual-based modelling of biofilms, Microbiology, vol.28, issue.11, pp.2897-2912, 2001.
DOI : 10.1016/0043-1354(94)90043-4

A. Kumar, S. Kumar, and E. S. Kumar, Biodegradation kinetics of phenol and catechol using Pseudomonas putida MTCC 1194, Biochemical Engineering Journal, vol.22, issue.2, pp.151-159, 2005.
DOI : 10.1016/j.bej.2004.09.006

C. S. Laspidou, A. Kungolos, and E. P. Samaras, Cellular-automata and individual-based approaches for the modeling of biofilm structures: Pros and cons, Desalination, vol.250, issue.1, pp.390-394, 2010.
DOI : 10.1016/j.desal.2009.09.062

C. S. Laspidou, A. Liakopoulos, and M. G. Spiliotopoulos, A 2D Cellular Automaton Biofilm Detachment Algorithm, pp.415-424, 2012.
DOI : 10.1007/978-3-642-33350-7_43

C. S. Laspidou, S. A. Rittmann, and B. E. Karaman, Finite element modeling to expand the UMCCA model to describe biofilm mechanical behavior, Water Science and Technology, vol.52, pp.161-166, 2005.

Y. Lee, T. Kwon, J. Yang, and J. Yang, Remediation of groundwater contaminated with DNAPLs by biodegradable oil emulsion, Journal of Hazardous Materials, vol.140, issue.1-2, pp.340-345, 2007.
DOI : 10.1016/j.jhazmat.2006.09.036

R. Lenormand and C. Zarcone, Invasion Percolation in an Etched Network: Measurement of a Fractal Dimension, Physical Review Letters, vol.27, issue.20, pp.2226-2229, 1985.
DOI : 10.1103/PhysRevB.27.5686

H. M. Lopez, J. Gachelin, C. Douarche, H. Auradou, and E. E. Clément, Turning Bacteria Suspensions into Superfluids, Physical Review Letters, vol.92, issue.2, pp.2015-2021
DOI : 10.1073/pnas.0910426107

T. F. Mah and G. A. O-'toole, Mechanisms of biofilm resistance to antimicrobial agents, Trends in Microbiology, vol.9, issue.1, pp.39-41, 2001.
DOI : 10.1016/S0966-842X(00)01913-2

S. Matsumoto, M. Katoku, G. Saeki, A. Terada, Y. Aoi et al., Microbial community structure in autotrophic nitrifying granules characterized by experimental and simulation analyses, Environmental Microbiology, vol.41, issue.1, pp.192-206
DOI : 10.1016/S0723-2020(00)80051-X

S. Matsumoto, A. Terada, Y. Aoi, S. Tsuneda, E. Alpkvist et al., Experimental and simulation analysis of community structure of nitrifying bacteria in a membrane-aerated biofilm, Water Science & Technology, vol.55, issue.8-9, pp.283-290, 2007.
DOI : 10.2166/wst.2007.269

R. D. Meegee, S. Kinoshita, A. G. Fredrickson, and H. M. Tsuchiya, Differentiation and product formation in molds, Biotechnology and Bioengineering, vol.9, issue.5, pp.771-801, 1970.
DOI : 10.1111/j.1365-2672.1960.tb00181.x

J. W. Mercer and R. M. Cohen, A review of immiscible fluids in the subsurface: Properties, models, characterization and remediation, Journal of Contaminant Hydrology, vol.6, issue.2, pp.107-163, 1990.
DOI : 10.1016/0169-7722(90)90043-G

B. Meyer, Approaches to prevention, removal and killing of biofilms, International Biodeterioration & Biodegradation, vol.51, issue.4, pp.249-253, 2003.
DOI : 10.1016/S0964-8305(03)00047-7

K. Milferstedt, M. Pons, and E. E. Morgenroth, Optical method for longterm and large-scale monitoring of spatial biofilm development, pp.773-782, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00284113

C. T. Miller, G. Christakos, P. T. Imhoff, J. F. Mcbride, J. A. Pedit et al., Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches, Advances in Water Resources, vol.21, issue.2, pp.77-120, 1998.
DOI : 10.1016/S0309-1708(96)00036-X

C. T. Miller, M. Poirier-mcneill, and E. A. Mayer, Dissolution of Trapped Nonaqueous Phase Liquids: Mass Transfer Characteristics, Water Resources Research, vol.7, issue.3/4, pp.2783-2796, 1990.
DOI : 10.1016/0045-7825(84)90046-X

E. Morgenroth and P. A. Wilderer, Influence of detachment mechanisms on competition in biofilms, Water Research, vol.34, issue.2, pp.417-426, 2000.
DOI : 10.1016/S0043-1354(99)00157-8

C. Mougin, Bioremediation and Phytoremediation of Industrial PAH-Polluted Soils, Polycyclic Aromatic Compounds, vol.22, issue.5, pp.1011-1043, 2002.
DOI : 10.1080/10406630214286

URL : https://hal.archives-ouvertes.fr/hal-01600280

I. M. Nambi and S. E. Powers, Mass transfer correlations for nonaqueous phase liquid dissolution from regions with high initial saturations, Water Resources Research, vol.41, issue.2, pp.1030-97, 2003.
DOI : 10.1016/S0169-7722(99)00064-9

J. C. Nickel, J. W. Costerton, R. J. Mclean, and E. M. Olson, Bacterial biofilms: Influence on the pathogenesis, diagnosis and treatment of urinary tract infections, Journal of Antimicrobial Chemotherapy, vol.33, issue.suppl A, pp.31-41, 1994.
DOI : 10.1093/jac/33.suppl_A.31

D. R. Noguera and C. Picioreanu, Results from the multi-species benchmark problem (bm3) using two-dimensional models, Water Science and Technology, vol.49, pp.169-176, 2004.

D. R. Noguera, G. Pizarfo, D. A. Stahl, and B. E. Rittmann, Simulation of multispecies biofilm development in three dimensions, Water Science and Technology, vol.39, issue.7, pp.123-130, 1999.

I. Ofek and R. J. Doyle, Bacterial adhesion to cells and tissues, 1994.
DOI : 10.1007/978-1-4684-6435-1

J. C. Parker and E. Park, Modeling field-scale dense non-aqueous phase liquid dissolution kinetics in heterogeneous aquifers, Water Resources Research, vol.40, p.5109, 2004.

M. R. Parsek and E. P. Greenberg, Sociomicrobiology: the connections between quorum sensing and biofilms, Trends in Microbiology, vol.13, issue.1, pp.27-33, 2005.
DOI : 10.1016/j.tim.2004.11.007

E. Paul, J. C. Ochoa, Y. Pechaud, Y. Liu, and E. A. Liné, Effect of shear stress and growth conditions on detachment and physical properties of biofilms, Water Research, vol.46, issue.17, pp.5499-5508, 2012.
DOI : 10.1016/j.watres.2012.07.029

URL : https://hal.archives-ouvertes.fr/hal-00914515

J. E. Paulsen, S. Ekrann, and E. E. Oppen, Visualisation of bacterial degradation and mobilisation of oil in a porous medium, Environmental Geology, vol.38, issue.3, pp.204-208, 1989.
DOI : 10.1007/s002540050416

C. Picioreanu, D. J. Batstone, M. C. Et, and . Van-loosdrecht, Multidimensional modelling of anaerobic granules, Water Science and Technology, vol.52, pp.501-507, 2005.

C. Picioreanu, J. Kreft, and M. C. Van-loosdrecht, Particle-Based Multidimensional Multispecies Biofilm Model, Applied and Environmental Microbiology, vol.70, issue.5, pp.3024-3040, 2004.
DOI : 10.1128/AEM.70.5.3024-3040.2004

C. Picioreanu, J. J. Heijnen, and M. C. Van-loosdrecht, Modeling and predicting biofilm structure, p.2000

C. Picioreanu, M. C. Van-loosdrecht, J. J. Et, and . Heijnen, Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach, Biotechnology and Bioengineering, vol.22, issue.1, pp.101-102, 1998.
DOI : 10.1111/j.1574-6941.1997.tb00351.x

C. Picioreanu, M. C. Van-loosdrecht, J. J. Et, and . Heijnen, Effect of diffusive and convective substrate transport on biofilm structure formation: A two-dimensional modeling study, Biotechnology and Bioengineering, vol.22, issue.5, pp.504-515, 2000.
DOI : 10.1111/j.1574-6941.1997.tb00351.x

C. Picioreanu, M. C. Van-loosdrecht, and E. J. Heijnen, Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach, Biotechnology and Bioengineering, vol.22, issue.1, pp.101-106, 1998.
DOI : 10.1111/j.1574-6941.1997.tb00351.x

C. Picioreanu, M. C. Van-loosdrecht, J. J. Et, and . Heijnen, A new combined differential-discrete cellular automaton approach for biofilm modeling: Application for growth in gel beads, Biotechnology and Bioengineering, vol.38, issue.6, pp.718-731, 1998.
DOI : 10.1515/REVCE.1996.12.1-2.1

C. Picioreanu, M. C. Van-loosdrecht, J. J. Et, and . Heijnen, A theoretical study on the effect of surface roughness on mass transport and transformation in biofilms, Biotechnology and Bioengineering, vol.49, issue.4, pp.355-369, 2000.
DOI : 10.1002/(SICI)1097-0290(19960120)49:2<172::AID-BIT6>3.0.CO;2-N

C. Picioreanu, M. C. Van-loosdrecht, J. J. Et, and . Heijnen, Two-dimensional model of biofilm detachment caused by internal stress from liquid flow, Biotechnology & Bioengineering, vol.22, issue.2, pp.205-2018, 2001.
DOI : 10.1002/1097-0290(20000120)72:2<205::AID-BIT9>3.0.CO;2-L

X. J. Picioreanu, C. Et, and M. C. Van-loosdrecht, Advances in mathematical modeling of biofilm structure, Biofilms, vol.1, issue.4, pp.1-13, 2004.
DOI : 10.1017/S1479050505001572

T. R. Pintelon, D. A. Graf-von-der-schulenburg, and M. L. Johns, Towards optimum permeability reduction in porous media using biofilm growth simulations, Biotechnology and Bioengineering, vol.186, issue.2, pp.767-779, 2009.
DOI : 10.1007/b98879

T. R. Pintelon, C. Picioreanu, M. C. Van-loosdrecht, and M. L. Johns, The effect of biofilm permeability on bio-clogging of porous media, Biotechnology and Bioengineering, vol.56, issue.4, pp.1031-1042
DOI : 10.1016/S0009-2509(00)00398-5

P. Piriou, S. Dukan, Y. Levi, and P. A. Jamge, Prevention of bacterial growth in drinking water distribution systems Health-Related Water Microbiology, Selected Proceedings of the {IAWQ} 8th International Symposium on Healthrelated Water Microbiology, pp.11-12283, 1996.

G. Pizarro, D. Griffeath, and D. Noguera, Quantitative Cellular Automaton Model for Biofilms, Journal of Environmental Engineering, vol.127, issue.9, pp.782-789, 2001.
DOI : 10.1061/(ASCE)0733-9372(2001)127:9(782)

C. Potera, MICROBIOLOGY:Forging a Link Between Biofilms and Disease, Science, vol.283, issue.5409, pp.1837-1839, 1999.
DOI : 10.1126/science.283.5409.1837

S. E. Powers, L. M. Abriola, J. S. Dunkin, and W. J. Weber, Phenomenological models for transient NAPL-water mass-transfer processes, Journal of Contaminant Hydrology, vol.16, issue.1, pp.1-33, 1994.
DOI : 10.1016/0169-7722(94)90070-1

S. E. Powers, L. M. Abriola, and W. J. Weber, An experimental investigation of nonaqueous phase liquid dissolution in saturated subsurface systems: Steady state mass transfer rates, Water Resources Research, vol.5, issue.2, pp.2691-2705, 1992.
DOI : 10.1021/i160017a002

S. E. Powers, L. M. Abriola, and W. J. Weber, An experimental investigation of nonaqueous phase liquid dissolution in saturated subsurface systems: Transient mass transfer rates, Water Resources Research, vol.1, issue.16, pp.321-332, 1994.
DOI : 10.1002/aic.690010222

S. E. Powers, C. O. Loureiro, L. M. Abriola, and W. J. Weber, Theoretical study of the significance of nonequilibrium dissolution of nonaqueous phase liquids in subsurface systems, Water Resources Research, vol.5, issue.1, pp.463-477, 1991.
DOI : 10.1021/i160017a002

B. Prakash, B. M. Veeregowda, and E. G. Krishnappa, Biofilms : A survival strategy of bacteria, Journal of Current Research in Science, vol.85, pp.9-10, 2003.

Y. Z. Wang, R. Chen, X. Zhu, Y. K. Pu, D. J. Lee et al., Twodimension mathematical modeling of photosynthetic bacterial biofilm growth and formation, International Journal of Hydrogen Energy, vol.37, pp.15607-15615

S. Ray and C. A. Peters, Changes in microbiological metabolism under chemical stress, Chemosphere, vol.71, issue.3, pp.474-483, 2008.
DOI : 10.1016/j.chemosphere.2007.10.026

P. Reichert, Aquasim -a tool for simulation and data-analysis of aquatic systems, Water Science and Technology, vol.30, pp.21-30, 1994.

A. Richards, J. I. Gerhard, and E. B. Kueper, Hydraulic displacement of dense nonaqueous phase liquids for source zone stabilization, Ground Water, vol.50, pp.765-774

M. L. Rockhold, R. R. Yarwood, M. R. Niemet, P. J. Bottomley, F. J. Brockman et al., Visualization and modeling of the colonization dynamics of a bioluminescent bacterium in variably saturated, translucent quartz sand, Advances in Water Resources, vol.30, issue.6-7, pp.6-71593, 2007.
DOI : 10.1016/j.advwatres.2006.05.026

C. J. Rupp, C. A. Fux, and E. P. Stoodley, Viscoelasticity of Staphylococcus aureus Biofilms in Response to Fluid Shear Allows Resistance to Detachment and Facilitates Rolling Migration, Applied and Environmental Microbiology, vol.71, issue.4, pp.2175-2178, 2005.
DOI : 10.1128/AEM.71.4.2175-2178.2005

T. Saba and T. H. Illangasekare, Effect of groundwater flow dimensionality on mass transfer from entrapped nonaqueous phase liquid contaminants, Water Resources Research, vol.61, issue.2, pp.971-979, 2000.
DOI : 10.2136/sssaj1997.03615995006100020002x

T. Saenton and . Illangasekare, Upscaling of mass transfer rate coefficient for the numerical simulation of dense nonaqueous phase liquid dissolution in heterogeneous aquifers, Water Resources Research, vol.53, issue.1-2, p.2428, 2007.
DOI : 10.1016/S0169-7722(02)00074-8

P. Saravanan, K. Pakshirajan, and E. P. Saha, Growth kinetics of an indigenous mixed microbial consortium during phenol degradation in a batch reactor, Bioresource Technology, vol.99, issue.1, pp.205-209, 2008.
DOI : 10.1016/j.biortech.2006.11.045

K. Sauer, A. K. Camper, G. D. Ehrlich, J. W. Costerton, and D. G. Davies, Pseudomonas aeruginosa Displays Multiple Phenotypes during Development as a Biofilm, Journal of Bacteriology, vol.184, issue.4, pp.1140-1154, 2002.
DOI : 10.1128/jb.184.4.1140-1154.2002

T. R. Scheuerman, A. K. Camper, and M. A. Hamilton, Effects of Substratum Topography on Bacterial Adhesion, Journal of Colloid and Interface Science, vol.208, issue.1, pp.23-33, 1998.
DOI : 10.1006/jcis.1998.5717

J. Schindler and T. Rataj, Fractal geometry and growth models of a Bacillus subtilis colony. Binary, computing in microbiology, pp.66-72, 1992.

J. Schindler and L. Rovensky, A model of intrinsic growth of a bacillus colony, Binary, computing in microbiology, vol.6, pp.105-108, 1994.

F. Schwille, Dense chlorinated solvents in porous and fractured media -model experiments. Chelsea ; Lewis, 1988.

E. A. Seagren, B. E. Rittman, and A. J. Valocchi, A critical evaluation of the local-equilibrium assumption in modeling NAPL-pool dissolution, Journal of Contaminant Hydrology, vol.39, issue.1-2, pp.109-135, 1999.
DOI : 10.1016/S0169-7722(99)00026-1

Y. Seo, W. Lee, G. Sorial, and P. L. Bishop, The application of a mulch biofilm barrier for surfactant enhanced polycyclic aromatic hydrocarbon bioremediation, Environmental Pollution, vol.157, issue.1, pp.95-101, 2009.
DOI : 10.1016/j.envpol.2008.07.022

R. Singh and M. S. Olson, F1, Environmental Toxicology and Chemistry, vol.2, issue.1, pp.56-63, 2010.
DOI : 10.1007/978-1-4615-8222-9_3

URL : https://hal.archives-ouvertes.fr/in2p3-00952104

R. Singh, D. Paul, and R. J. Jain, Biofilms: implications in bioremediation, Trends in Microbiology, vol.14, issue.9, pp.389-397, 2006.
DOI : 10.1016/j.tim.2006.07.001

C. T. Skowlund, Effect of biofilm growth on steady-state biofilm models, Biotechnology and Bioengineering, vol.3, issue.5, pp.502-510, 1990.
DOI : 10.1002/bit.260350508

A. W. Smith, Biofilms and antibiotic therapy: Is there a role for combating bacterial resistance by the use of novel drug delivery systems?, Advanced Drug Delivery Reviews, vol.57, issue.10, pp.1539-1550, 2005.
DOI : 10.1016/j.addr.2005.04.007

P. S. Stewart, G. A. Mcfeters, and C. T. Huang, Biofilm formation and persistence, 2000.

P. Stoodley, R. Cargo, C. J. Rupp, S. Wilson, and E. I. Klapper, Biofilm material properties as related to shear-induced deformation and detachment phenomena, Journal of Industrial Microbiology and Biotechnology, vol.29, issue.6, pp.361-367, 2002.
DOI : 10.1038/sj.jim.7000282

P. Stoodley, S. Wilson, L. Hall-stoodley, J. D. Boyle, H. Lappin-scott et al., Growth and Detachment of Cell Clusters from Mature Mixed-Species Biofilms, Applied and Environmental Microbiology, vol.67, issue.12, pp.5608-5613, 2001.
DOI : 10.1128/AEM.67.12.5608-5613.2001

R. Sudarsan, K. Milferstedt, E. Morgenroth, and H. J. , Quantification of detachment forces on rigid biofilm colonies in a roto-torque reactor using computational fluid dynamics tools, Water Science & Technology, vol.52, pp.149-154, 2005.

L. Talon, D. Bauer, N. Giant, S. Youssef, H. Auradou et al., Assessment of the two relaxation time Lattice-Boltzmann scheme to simulate Stokes flow in porous media, Water Resources Research, vol.75, issue.5, pp.4526-2012
DOI : 10.1190/1.3463704

Y. Tang and A. J. Valocchi, An improved cellular automaton method to model multispecies biofilms, Water Research, vol.47, issue.15, pp.5729-5742, 2013.
DOI : 10.1016/j.watres.2013.06.055

U. Telgmann, H. Horn, and E. Morgenroth, Influence of growth history on sloughing and erosion from biofilms, Water Research, vol.38, issue.17, pp.3671-3684, 2004.
DOI : 10.1016/j.watres.2004.05.020

M. Thullner, L. Mauclaire, M. H. Schroth, W. Kinzelbach, and E. J. Zeyer, Interaction between water flow and spatial distribution of microbial growth in a two-dimensional flow field in saturated porous media, Journal of Contaminant Hydrology, vol.58, issue.3-4, pp.3-4169, 2002.
DOI : 10.1016/S0169-7722(02)00033-5

L. Tijhuis, M. C. Van-loosdrecht, J. J. Et, and . Heijnen, Dynamics of biofilm detachment in biofilm airlift suspension reactors, Biotechnology and Bioengineering, vol.28, issue.6, pp.481-487, 1995.
DOI : 10.1002/bit.260450604

M. C. Van-loosdrecht, J. J. Heijnen, H. Eberl, J. Kreft, and C. Picioreanu, Mathematical modelling of biofilm structures, Antonie van Leeuwenhoek, vol.81, issue.1/4, pp.245-256, 2002.
DOI : 10.1023/A:1020527020464

C. J. Van-oss, M. K. Chaudhury, and R. J. Good, Interfacial Lifshitz-van der Waals and polar interactions in macroscopic systems, Chemical Reviews, vol.88, issue.6, pp.927-941, 1988.
DOI : 10.1021/cr00088a006

L. M. Vega, J. Mathieu, Y. Yang, B. H. Pyle, R. J. Mclean et al., Nickel and cadmium ions inhibit quorum sensing and biofilm formation without affecting viability in Burkholderia multivorans, International Biodeterioration & Biodegradation, vol.91, issue.0, pp.9182-87
DOI : 10.1016/j.ibiod.2014.03.013

D. A. Der-schulenburg, T. R. Pintelon, C. Picioreanu, M. C. Van-loosdrecht, and M. L. Johns, Three-dimensional simulations of biofilm growth in porous media, AIChE Journal, vol.93, issue.4, pp.494-504, 2009.
DOI : 10.1099/00221287-147-11-2897

M. Walter, A. Safari, A. Ivankovic, and E. E. Casey, Detachment characteristics of a mixed culture biofilm using particle size analysis, Chemical Engineering Journal, vol.228, issue.0, pp.1140-1147
DOI : 10.1016/j.cej.2013.05.071

Q. Wang and T. Zhang, Review of mathematical models for biofilms, Solid State Communications, vol.150, issue.21-22, pp.21-221009, 2010.
DOI : 10.1016/j.ssc.2010.01.021

O. Wanner and W. Gujer, A multispecies biofilm model, Biotechnology and Bioengineering, vol.10, issue.3, pp.314-328, 1986.
DOI : 10.1002/bit.260280304

S. Whitaker, The Method of Volume Averaging, 1999.
DOI : 10.1007/978-94-017-3389-2

J. W. Wimpenny and R. Colasanti, A unifying hypothesis for the structure of microbial biofilms based on cellular automaton models, FEMS Microbiology Ecology, vol.5, issue.1, pp.1-16, 1997.
DOI : 10.1007/978-1-4684-7609-5_10

J. Wingender, T. R. Neu, and H. Flemming, What are bacterial extracellular polymeric substances ? Dans Jost Wingender, ThomasR. Neu, et Hans-Curt Flemming, éditeurs, Microbial Extracellular Polymeric Substances, pp.1-19, 1999.

B. D. Wood, K. Radakovich, and E. F. Golfier, Effective reaction at a fluid???solid interface: Applications to biotransformation in porous media, Advances in Water Resources, vol.30, issue.6-7, pp.1630-1647, 2007.
DOI : 10.1016/j.advwatres.2006.05.032

B. D. Wood and S. Whitaker, Diffusion and reaction in biofilms, Chemical Engineering Science, vol.53, issue.3, pp.397-425, 1998.
DOI : 10.1016/S0009-2509(97)00319-9

J. Xavier, M. K. De-kreuk, C. Picioreanu, and M. C. Van-loosdrecht, Multi-Scale Individual-Based Model of Microbial and Bioconversion Dynamics in Aerobic Granular Sludge, Environmental Science & Technology, vol.41, issue.18, pp.6410-6417, 2007.
DOI : 10.1021/es070264m

J. B. Xavier, C. Picioreanu, S. A. Rani, M. C. Van-loosdrecht, and P. Stewart, Biofilm-control strategies based on enzymic disruption of the extracellular polymeric substance matrix - a modelling study, Microbiology, vol.151, issue.12, pp.3817-3832, 2005.
DOI : 10.1099/mic.0.28165-0

. B. Jde, C. Xavier, M. C. Picioreanu, and . Van-loosdrecht, A general description of detachment for multidimensional modelling of biofilms, Biotechnol Bioeng, vol.91, pp.651-669, 2005.

Y. Xiong and Y. Liu, Biological control of microbial attachment: a promising alternative for mitigating membrane biofouling, Applied Microbiology and Biotechnology, vol.160, issue.3, pp.825-837
DOI : 10.1371/journal.pcbi.0010055

T. Yamamoto and S. Ueda, Numerical simulation of biofilm growth in flow channels using a cellular automaton approach coupled with a macro flow computation, Biorheology, vol.50, pp.203-216