-
1
-
-
34249703402
-
Description of mechanical response including detachment using a novel particle model of biofilm/flow interaction
-
Alpkvist E, Klapper I. 2007a. Description of mechanical response including detachment using a novel particle model of biofilm/flow interaction. Water Sci Technol 55 (8-9):265-273.
-
(2007)
Water Sci Technol
, vol.55
, Issue.8-9
, pp. 265-273
-
-
Alpkvist, E.1
Klapper, I.2
-
2
-
-
33847334391
-
A multidimensional multispecies continuum model for heterogeneous biofilm development
-
Alpkvist E, Klapper I. 2007b. A multidimensional multispecies continuum model for heterogeneous biofilm development. Bull Math Biol 69(2):765-789.
-
(2007)
Bull Math Biol
, vol.69
, Issue.2
, pp. 765-789
-
-
Alpkvist, E.1
Klapper, I.2
-
3
-
-
4344644821
-
A new mathematical model for chemotactic bacterial colony growth
-
Alpkvist E, Overgaard NC, Gustafsson S, Heyden A. 2004a. A new mathematical model for chemotactic bacterial colony growth. Water Sci Technol 49(11-12):187-192.
-
(2004)
Water Sci Technol
, vol.49
, Issue.11-12
, pp. 187-192
-
-
Alpkvist, E.1
Overgaard, N.C.2
Gustafsson, S.3
Heyden, A.4
-
4
-
-
33847287353
-
3-d simulations and structural parameters for a continuum biofilm model
-
Alpkvist E, Overgaard NC, Heyden A. 2004b. 3-d simulations and structural parameters for a continuum biofilm model. Proceedings Biofilms 2004, Las Vegas, USA, p 231-236.
-
(2004)
Proceedings Biofilms 2004, Las Vegas, USA
, pp. 231-236
-
-
Alpkvist, E.1
Overgaard, N.C.2
Heyden, A.3
-
5
-
-
33746883976
-
Three-dimensional biofilm model with individual cells and continuum EPS matrix
-
Alpkvist E, Picioreanu C, van Loosdrecht MCM, Heyden A. 2006. Three-dimensional biofilm model with individual cells and continuum EPS matrix. Biotechnol Bioeng 94(5):961-979.
-
(2006)
Biotechnol Bioeng
, vol.94
, Issue.5
, pp. 961-979
-
-
Alpkvist, E.1
Picioreanu, C.2
Van Loosdrecht, M.C.M.3
Heyden, A.4
-
7
-
-
0002437983
-
Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
-
Barth TJ, Sethian JA. 1998. Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. J Comp Phys 145(1):1-40.
-
(1998)
J Comp Phys
, vol.145
, Issue.1
, pp. 1-40
-
-
Barth, T.J.1
Sethian, J.A.2
-
8
-
-
0035118934
-
Arbitrary discontinuities in finite elements
-
Belytschko T, Moës N, Usui S, Parimi C. 2001. Arbitrary discontinuities in finite elements. Int J Numerical Methods Eng 50(4):993-1013.
-
(2001)
Int J Numerical Methods Eng
, vol.50
, Issue.4
, pp. 993-1013
-
-
Belytschko, T.1
Moës, N.2
Usui, S.3
Parimi, C.4
-
10
-
-
85053968612
-
Modeling biofilm accumulation
-
Bazin MJ, Prosser JI, eds. Boca Raton, FL: CRC Press
-
Bryers JD. 1988. Modeling biofilm accumulation. In: Bazin MJ, Prosser JI, eds. Physiological models in microbiology, Vol.2. Boca Raton, FL: CRC Press. p 109-144.
-
(1988)
Physiological Models in Microbiology
, vol.2
, pp. 109-144
-
-
Bryers, J.D.1
-
11
-
-
0036210688
-
Some improvements of the fast marching method
-
Chopp DL. 2001. Some improvements of the fast marching method. SIAM J Sci Comput 23(1):230-244.
-
(2001)
SIAM J Sci Comput
, vol.23
, Issue.1
, pp. 230-244
-
-
Chopp, D.L.1
-
13
-
-
0036951064
-
A mathematical model of quorum sensing in a growing biofilm
-
Chopp DL, Kirisits MJ, Moran B, Parsek MR. 2002. A mathematical model of quorum sensing in a growing biofilm. J Ind Microbiol Biotech 29(6):339-346.
-
(2002)
J Ind Microbiol Biotech
, vol.29
, Issue.6
, pp. 339-346
-
-
Chopp, D.L.1
Kirisits, M.J.2
Moran, B.3
Parsek, M.R.4
-
14
-
-
0344962437
-
The dependence of quorum sensing on the depth of a growing biofilm
-
Chopp DL, Kirisits MJ, Moran B, Parsek MR. 2003. The dependence of quorum sensing on the depth of a growing biofilm. Bull Math Biol 65(6):1053-1079.
-
(2003)
Bull Math Biol
, vol.65
, Issue.6
, pp. 1053-1079
-
-
Chopp, D.L.1
Kirisits, M.J.2
Moran, B.3
Parsek, M.R.4
-
15
-
-
0034968039
-
A mathematical model for quorum sensing in Pseudomonas aeruginosa
-
Dockery JD, Keener JP. 2001. A mathematical model for quorum sensing in Pseudomonas aeruginosa. Bull Math Biol 63(1):95-116.
-
(2001)
Bull Math Biol
, vol.63
, Issue.1
, pp. 95-116
-
-
Dockery, J.D.1
Keener, J.P.2
-
16
-
-
0036302101
-
Finger formation in biofilm layers
-
Dockery JD, Klapper J. 2001. Finger formation in biofilm layers. SIAM J Appl Math 62(3):853-869.
-
(2001)
SIAM J Appl Math
, vol.62
, Issue.3
, pp. 853-869
-
-
Dockery, J.D.1
Klapper, J.2
-
17
-
-
42949133525
-
A combined extended finite element and level set method for biofilm growth
-
Duddu R, Bordas S, Chopp DL, Moran B. 2007. A combined extended finite element and level set method for biofilm growth. Int J Numerical Methods Eng 74(5):848-870.
-
(2007)
Int J Numerical Methods Eng
, vol.74
, Issue.5
, pp. 848-870
-
-
Duddu, R.1
Bordas, S.2
Chopp, D.L.3
Moran, B.4
-
18
-
-
47849108516
-
Exposure of biofilms to slow flow fields: The convective contribution to growth and disinfection
-
Eberl HJ, Sudarsan R. 2008. Exposure of biofilms to slow flow fields: The convective contribution to growth and disinfection. J Theor Biol 253(4):788-807.
-
(2008)
J Theor Biol
, vol.253
, Issue.4
, pp. 788-807
-
-
Eberl, H.J.1
Sudarsan, R.2
-
19
-
-
0034351961
-
A three-dimensional numerical study on the correlation of spatial structure, hydrodynamic conditions, and mass transfer and conversion in biofilms
-
Eberl HJ, Picioreanu C, Heijnen JJ, Van Loosdrecht MCM. 2000. A three-dimensional numerical study on the correlation of spatial structure, hydrodynamic conditions, and mass transfer and conversion in biofilms. Chem Eng Sci 55(24):6209-6222.
-
(2000)
Chem Eng Sci
, vol.55
, Issue.24
, pp. 6209-6222
-
-
Eberl, H.J.1
Picioreanu, C.2
Heijnen, J.J.3
Van Loosdrecht, M.C.M.4
-
20
-
-
0035738988
-
A new deterministic spatio-temporal continuum model for biofilm development
-
Eberl HJ, Parker DF, van Loosdrecht MCM. 2001. A new deterministic spatio-temporal continuum model for biofilm development. J Theor Med 3(3):161-175.
-
(2001)
J Theor Med
, vol.3
, Issue.3
, pp. 161-175
-
-
Eberl, H.J.1
Parker, D.F.2
Van Loosdrecht, M.C.M.3
-
22
-
-
0035131741
-
A simple 2d biofilm model yields a variety of morphological features
-
Hermanowicz SW. 2001. A simple 2d biofilm model yields a variety of morphological features. Math Biosci 169(1):1-14.
-
(2001)
Math Biosci
, vol.169
, Issue.1
, pp. 1-14
-
-
Hermanowicz, S.W.1
-
23
-
-
36549075625
-
Influence of the hydrodynamic environment on quorum sensing in pseudomonas aeruginosa biofilms
-
Kirisits MJ, Margolis JJ, Purevdorj-Gage BL, Vaughan B, Chopp DL, Stoodley P, Parsek MR. 2007. Influence of the hydrodynamic environment on quorum sensing in pseudomonas aeruginosa biofilms. J Bacteriol 189(22):8357-8360.
-
(2007)
J Bacteriol
, vol.189
, Issue.22
, pp. 8357-8360
-
-
Kirisits, M.J.1
Margolis, J.J.2
Purevdorj-Gage, B.L.3
Vaughan, B.4
Chopp, D.L.5
Stoodley, P.6
Parsek, M.R.7
-
24
-
-
0037027377
-
Viscoelastic fluid description of bacterial biofilm material properties
-
Klapper I, Rupp C, Cargo R, Purvedorj B, Stoodley P. 2001. Viscoelastic fluid description of bacterial biofilm material properties. Biotechnol Bioeng 80(3):289-296.
-
(2001)
Biotechnol Bioeng
, vol.80
, Issue.3
, pp. 289-296
-
-
Klapper, I.1
Rupp, C.2
Cargo, R.3
Purvedorj, B.4
Stoodley, P.5
-
25
-
-
0032436318
-
Bacsim, a simulator for individual-based modelling of bacterial colony growth
-
Kreft J-U, Booth G, Wimpenny JWT. 1998. Bacsim, a simulator for individual-based modelling of bacterial colony growth. Microbiology 144:3275-3287.
-
(1998)
Microbiology
, vol.144
, pp. 3275-3287
-
-
Kreft, J.-U.1
Booth, G.2
Wimpenny, J.W.T.3
-
26
-
-
0035987710
-
A unified theory for extracellular polymeric substances, soluble microbial products, and active and inert biomass
-
Laspidou CS, Rittmann BE. 2002a. A unified theory for extracellular polymeric substances, soluble microbial products, and active and inert biomass. Water Res 36(11):2711-2720.
-
(2002)
Water Res
, vol.36
, Issue.11
, pp. 2711-2720
-
-
Laspidou, C.S.1
Rittmann, B.E.2
-
27
-
-
0036234375
-
Non-steady state modeling of microbial products and active and inert biomass
-
Laspidou CS, Rittmann BE. 2002b. Non-steady state modeling of microbial products and active and inert biomass. Water Res 36(8):1983-1992.
-
(2002)
Water Res
, vol.36
, Issue.8
, pp. 1983-1992
-
-
Laspidou, C.S.1
Rittmann, B.E.2
-
28
-
-
3343015930
-
Evaluation trends in biofilm density using the UMCCA model
-
Laspidou CS, Rittmann BE. 2004. Evaluation trends in biofilm density using the UMCCA model. Water Res 38(14-15):3362-3372.
-
(2004)
Water Res
, vol.38
, Issue.14-15
, pp. 3362-3372
-
-
Laspidou, C.S.1
Rittmann, B.E.2
-
29
-
-
28244481782
-
Finite element modelling to expand the UMCCA model to describe biofilm mechanical behavior
-
Laspidou CS, Rittmann BE, Karamanos SA. 2005. Finite element modelling to expand the UMCCA model to describe biofilm mechanical behavior. Water Sci Technol 52(7):161-166.
-
(2005)
Water Sci Technol
, vol.52
, Issue.7
, pp. 161-166
-
-
Laspidou, C.S.1
Rittmann, B.E.2
Karamanos, S.A.3
-
31
-
-
0033055006
-
Simulation of multispecies biofilm development in three dimensions
-
Noguera DR, Pizarro G, Stahl DA, Rittmann BE. 1999. Simulation of multispecies biofilm development in three dimensions. Water Sci Technol 39(7):123-130.
-
(1999)
Water Sci Technol
, vol.39
, Issue.7
, pp. 123-130
-
-
Noguera, D.R.1
Pizarro, G.2
Stahl, D.A.3
Rittmann, B.E.4
-
32
-
-
0028171719
-
Adhesion strength of biofilm developed in an attached-growth reactor
-
Ohashi A, Harada H. 1994. Adhesion strength of biofilm developed in an attached-growth reactor. Water Sci Technol 29(10-11):281-288.
-
(1994)
Water Sci Technol
, vol.29
, Issue.10-11
, pp. 281-288
-
-
Ohashi, A.1
Harada, H.2
-
33
-
-
44749084234
-
Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
-
Osher S, Sethian JA. 1988. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations. J Comp Phys 79:12-49.
-
(1988)
J Comp Phys
, vol.79
, pp. 12-49
-
-
Osher, S.1
Sethian, J.A.2
-
34
-
-
0027572073
-
A statistical analysis of the effect of substrate utilization and shear stress on the kinetics of biofilm detachment
-
Peyton BM, Characklis WG. 1993. A statistical analysis of the effect of substrate utilization and shear stress on the kinetics of biofilm detachment. Biotechnol Bioeng 41(7):728-735.
-
(1993)
Biotechnol Bioeng
, vol.41
, Issue.7
, pp. 728-735
-
-
Peyton, B.M.1
Characklis, W.G.2
-
35
-
-
0032549541
-
A new combined differential-discrete cellular automaton approach for biofilm modeling: Application for growth in gel beads
-
Picioreanu C, van Loosdrecht MCM, Heijnen JI. 1998. A new combined differential-discrete cellular automaton approach for biofilm modeling: Application for growth in gel beads. Bull Math Biol 57(6):718-731.
-
(1998)
Bull Math Biol
, vol.57
, Issue.6
, pp. 718-731
-
-
Picioreanu, C.1
Van Loosdrecht, M.C.M.2
Heijnen, J.I.3
-
36
-
-
0034609601
-
Effect of diffusive and convective substrate transport on biofilm structure formation: A two-dimensional modeling study
-
Picioreanu C, van Loosdrecht MCM, Heijnen JJ. 2000a. Effect of diffusive and convective substrate transport on biofilm structure formation: A two-dimensional modeling study. Biotechnol Bioeng 69(5):504-515.
-
(2000)
Biotechnol Bioeng
, vol.69
, Issue.5
, pp. 504-515
-
-
Picioreanu, C.1
Van Loosdrecht, M.C.M.2
Heijnen, J.J.3
-
38
-
-
0034690578
-
A theoretical study on the effect of surface roughness on mass transport and transformation in biofilms
-
Picioreanu C, Van Loosdrecht MCM, Heijnen JJ. 2000c. A theoretical study on the effect of surface roughness on mass transport and transformation in biofilms. Biotechnol Bioeng 68(4):355-369.
-
(2000)
Biotechnol Bioeng
, vol.68
, Issue.4
, pp. 355-369
-
-
Picioreanu, C.1
Van Loosdrecht, M.C.M.2
Heijnen, J.J.3
-
39
-
-
0035819412
-
Two-dimensional model of biofilm detachment caused by internal stress from liquid flow
-
Picioreanu C, van Loosdrecht MCM, Heijnen JJ. 2001. Two-dimensional model of biofilm detachment caused by internal stress from liquid flow. Biotechnol Bioeng 72(2):205-218.
-
(2001)
Biotechnol Bioeng
, vol.72
, Issue.2
, pp. 205-218
-
-
Picioreanu, C.1
Van Loosdrecht, M.C.M.2
Heijnen, J.J.3
-
40
-
-
34249707773
-
Microbial motility involvement in biofilm structure formation - A 3-d modelling study
-
Picioreanu C, Kreft J-U, Klausen M, Haagensen JAJ, Tolker-Nielsen T, Molin S. 2007. Microbial motility involvement in biofilm structure formation - A 3-d modelling study. Water Sci Technol 55(8-9):337-343.
-
(2007)
Water Sci Technol
, vol.55
, Issue.8-9
, pp. 337-343
-
-
Picioreanu, C.1
Kreft, J.-U.2
Klausen, M.3
Haagensen, J.A.J.4
Tolker-Nielsen, T.5
Molin, S.6
-
41
-
-
84988120968
-
The effect of shear stress on biofilm loss rate
-
Rittman BE. 1982. The effect of shear stress on biofilm loss rate. Biotechnol Bioeng 24(2):501-506.
-
(1982)
Biotechnol Bioeng
, vol.24
, Issue.2
, pp. 501-506
-
-
Rittman, B.E.1
-
44
-
-
33750582837
-
The impact of quorum sensing and swarming motility on pseudomonas aeruginosa biofilm formation is nutritionally conditional
-
Shrout JD, Chopp DL, Nessler R, Just CL, Parsek MR. 2006. The impact of quorum sensing and swarming motility on pseudomonas aeruginosa biofilm formation is nutritionally conditional. Mol Microbiol 62(5):1264-1277.
-
(2006)
Mol Microbiol
, vol.62
, Issue.5
, pp. 1264-1277
-
-
Shrout, J.D.1
Chopp, D.L.2
Nessler, R.3
Just, C.L.4
Parsek, M.R.5
-
45
-
-
42949119417
-
The extended finite element method for boundary layer problems in biofilm growth
-
Smith BG, Vaughan BL, Jr., Chopp DL. 2007. The extended finite element method for boundary layer problems in biofilm growth. Comm Appl Math Comp Sci 2(1):35-56.
-
(2007)
Comm Appl Math Comp Sci
, vol.2
, Issue.1
, pp. 35-56
-
-
Smith, B.G.1
Vaughan Jr., B.L.2
Chopp, D.L.3
-
46
-
-
0027908937
-
A model of biofilm detachment
-
Stewart PS. 1993. A model of biofilm detachment. Biotechnol Bioeng 41(1):111-117.
-
(1993)
Biotechnol Bioeng
, vol.41
, Issue.1
, pp. 111-117
-
-
Stewart, P.S.1
-
47
-
-
0028335183
-
Biofilm accumulation model that predicts antibiotic resistance of pseudomonas aeruginosa biofilms
-
Stewart PS. 1997. Biofilm accumulation model that predicts antibiotic resistance of pseudomonas aeruginosa biofilms. Antimicrob Agents Chemother 38(5):1052-1058.
-
(1997)
Antimicrob Agents Chemother
, vol.38
, Issue.5
, pp. 1052-1058
-
-
Stewart, P.S.1
-
48
-
-
33846902541
-
A model of biofilm-biofilm interaction using a burger material law
-
Towler BW, Cunningham A, Stoodley P, McKittrick L. 2007. A model of biofilm-biofilm interaction using a burger material law. Biotechnol Bioeng 96(2):259-271.
-
(2007)
Biotechnol Bioeng
, vol.96
, Issue.2
, pp. 259-271
-
-
Towler, B.W.1
Cunningham, A.2
Stoodley, P.3
McKittrick, L.4
-
49
-
-
0029549362
-
Biofilm structures
-
Van Loosdrecht MCM, Eikelboom D, Gjaltema A, Mulder A, Tijhuis L, Heijnen JJ. 1995. Biofilm structures. Water Sci Technol 32(8):35-43.
-
(1995)
Water Sci Technol
, vol.32
, Issue.8
, pp. 35-43
-
-
Van Loosdrecht, M.C.M.1
Eikelboom, D.2
Gjaltema, A.3
Mulder, A.4
Tijhuis, L.5
Heijnen, J.J.6
-
52
-
-
84971355798
-
A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources
-
Vaughan BL, Smith BG, Chopp DL. 2006. A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Comm Appl Math Comp Sci 1(1):207-228.
-
(2006)
Comm Appl Math Comp Sci
, vol.1
, Issue.1
, pp. 207-228
-
-
Vaughan, B.L.1
Smith, B.G.2
Chopp, D.L.3
-
53
-
-
0022678081
-
A multispecies biofilm model
-
Wanner O, Gujer W. 1986. A multispecies biofilm model. Biotechnol Bioeng 28(3):314-328.
-
(1986)
Biotechnol Bioeng
, vol.28
, Issue.3
, pp. 314-328
-
-
Wanner, O.1
Gujer, W.2
-
54
-
-
0016923620
-
Verification studies of biofilm model for bacterial substrate utilization
-
Williamson KJ, McCarty PL. 1976. Verification studies of biofilm model for bacterial substrate utilization. J Water Pollut Control Fed 48(2):281-296.
-
(1976)
J Water Pollut Control Fed
, vol.48
, Issue.2
, pp. 281-296
-
-
Williamson, K.J.1
McCarty, P.L.2
-
55
-
-
0031031474
-
A unifying hypothesis for the structure of microbial biofilms based on cellular automaton models
-
Wimpenny JWT, Colasanti R. 1997. A unifying hypothesis for the structure of microbial biofilms based on cellular automaton models. FEMS Microbiol Ecol 22(1):1-16.
-
(1997)
FEMS Microbiol Ecol
, vol.22
, Issue.1
, pp. 1-16
-
-
Wimpenny, J.W.T.1
Colasanti, R.2
-
56
-
-
24644511094
-
A general description of detachment for multidimensional modelling of biofilms
-
Xavier JD, Picioreanu C, van Loosdrecht MCM. 2005a. A general description of detachment for multidimensional modelling of biofilms. Biotechnol Bioeng 91(6):651-669.
-
(2005)
Biotechnol Bioeng
, vol.91
, Issue.6
, pp. 651-669
-
-
Xavier, J.D.1
Picioreanu, C.2
Van Loosdrecht, M.C.M.3
-
57
-
-
22744458324
-
A framework for multidimensional modelling of activity and structure of multispecies biofilms
-
Xavier JD, Picioreanu C, van Loosdrecht MCM. 2005b. A framework for multidimensional modelling of activity and structure of multispecies biofilms. Environ Microbiol 7(8):1085-1103.
-
(2005)
Environ Microbiol
, vol.7
, Issue.8
, pp. 1085-1103
-
-
Xavier, J.D.1
Picioreanu, C.2
Van Loosdrecht, M.C.M.3
-
58
-
-
50049125083
-
Phase-field models for biofilms II.2-d numerical simulations of biofilm-flow interaction
-
Zhang T, Cogan N, Wang Q. 2008. Phase-field models for biofilms II.2-d numerical simulations of biofilm-flow interaction. Commun Comput Phys 4(1):72-101.
-
(2008)
Commun Comput Phys
, vol.4
, Issue.1
, pp. 72-101
-
-
Zhang, T.1
Cogan, N.2
Wang, Q.3
-
59
-
-
34547566899
-
Numerical modelling of tectonic plates subduction using x-fem
-
Zlotnik S, Diez P, Fernandez M, Verges J. 2007. Numerical modelling of tectonic plates subduction using x-fem. Comp Methods Appl Mech Eng 196(41-44):4283-4293.
-
(2007)
Comp Methods Appl Mech Eng
, vol.196
, Issue.41-44
, pp. 4283-4293
-
-
Zlotnik, S.1
Diez, P.2
Fernandez, M.3
Verges, J.4
|