-
1
-
-
58149280080
-
A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
-
in press
-
Anguige, K., Schmeiser, C.: A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion. J. Math. Biol. (in press)
-
J. Math. Biol
-
-
Anguige, K.1
Schmeiser, C.2
-
2
-
-
33644941188
-
A three-dimensional computer model of four hypothetical mechanisms protecting biofilms from antimicrobials
-
Chambless, J.D., Hunt, S.M., Stewart, P.S.: A three-dimensional computer model of four hypothetical mechanisms protecting biofilms from antimicrobials. Appl. Env. Microbiol. 72(3), 2005-2013 (2006)
-
(2006)
Appl. Env. Microbiol
, vol.72
, Issue.3
, pp. 2005-2013
-
-
Chambless, J.D.1
Hunt, S.M.2
Stewart, P.S.3
-
3
-
-
0035738988
-
A new deterministic spatiotemporal continuum model for biofilm development
-
Eberl, H.J., Parker, D.F., van Loosdrecht, M.C.M.: A new deterministic spatiotemporal continuum model for biofilm development. J. Theor. Medicine 3(3), 161-175 (2001)
-
(2001)
J. Theor. Medicine
, vol.3
, Issue.3
, pp. 161-175
-
-
Eberl, H.J.1
Parker, D.F.2
van Loosdrecht, M.C.M.3
-
4
-
-
68849116763
-
-
Eberl, H.J., Demaret, L.: A finite difference scheme for a doubly degenerate diffusion-reaction equation arising in microbial ecology. El. J. Diff. Equ. CS 15, 77-95 (2007)
-
Eberl, H.J., Demaret, L.: A finite difference scheme for a doubly degenerate diffusion-reaction equation arising in microbial ecology. El. J. Diff. Equ. CS 15, 77-95 (2007)
-
-
-
-
5
-
-
47849108516
-
Exposure of biofilms to slow flow fields: The convective contribution to growth and disinfections
-
Eberl, H.J., Sudarsan, R.: Exposure of biofilms to slow flow fields: the convective contribution to growth and disinfections. J. Theor. Biol. 253(4), 788-807 (2008)
-
(2008)
J. Theor. Biol
, vol.253
, Issue.4
, pp. 788-807
-
-
Eberl, H.J.1
Sudarsan, R.2
-
6
-
-
68849121211
-
Existence and longtime behavior of a biofilm model
-
Efendiev, M.A., Zelik, S.V., Eberl, H.: Existence and longtime behavior of a biofilm model. Comm. Pure Appl. Analysis 8(2), 509-531 (2009)
-
(2009)
Comm. Pure Appl. Analysis
, vol.8
, Issue.2
, pp. 509-531
-
-
Efendiev, M.A.1
Zelik, S.V.2
Eberl, H.3
-
7
-
-
0035131741
-
A simple 2D biofilm model yields a variety of morphological features
-
Hermanowicz, S.W.: A simple 2D biofilm model yields a variety of morphological features. Math. Biosc. 169(1), 1-14 (2001)
-
(2001)
Math. Biosc
, vol.169
, Issue.1
, pp. 1-14
-
-
Hermanowicz, S.W.1
-
8
-
-
68849103732
-
-
Khassehkhan, H., Efendiev, M.A., Eberl, H.J.: A degenerate diffusion-reaction model of an amensalistic probiotic biofilm control system: Existence and simulation of solutions. Discr. Cont. Dyn. Sys. B (in press)
-
Khassehkhan, H., Efendiev, M.A., Eberl, H.J.: A degenerate diffusion-reaction model of an amensalistic probiotic biofilm control system: Existence and simulation of solutions. Discr. Cont. Dyn. Sys. B (in press)
-
-
-
-
9
-
-
0003124664
-
A spatially discrete model of aggregating populations
-
Lizana, M., Padorn, V.: A spatially discrete model of aggregating populations. J. Math. Biol. 38, 79-102 (1999)
-
(1999)
J. Math. Biol
, vol.38
, pp. 79-102
-
-
Lizana, M.1
Padorn, V.2
-
10
-
-
0036423439
-
-
Van Loosdrecht, M.C.M., Heijnen, J.J., Eberl, H.J., Kreft, J.U., Picioreanu, C.: Mathematical modelling of biofilm structures. Ant. v. Leeuwenhoek 81, 245-256 (2002)
-
Van Loosdrecht, M.C.M., Heijnen, J.J., Eberl, H.J., Kreft, J.U., Picioreanu, C.: Mathematical modelling of biofilm structures. Ant. v. Leeuwenhoek 81, 245-256 (2002)
-
-
-
-
11
-
-
4944248574
-
Volume-Filling and Quorum Sensing in Models for Chemosensitive Movement
-
Painter, K., Hillen, T.: Volume-Filling and Quorum Sensing in Models for Chemosensitive Movement. Can. Appl. Math. Quart. 10(4), 501-543 (2002)
-
(2002)
Can. Appl. Math. Quart
, vol.10
, Issue.4
, pp. 501-543
-
-
Painter, K.1
Hillen, T.2
-
12
-
-
0032549541
-
A new combined differential-discrete cellular automaton approach for biofilm modeling: Application for growth in gel beads
-
Picioreanu, C., van Loosdrecht, M.C.M., Heijnen, J. J.: A new combined differential-discrete cellular automaton approach for biofilm modeling: Application for growth in gel beads. Biotech. Bioeng. 57(6), 718-731 (1998)
-
(1998)
Biotech. Bioeng
, vol.57
, Issue.6
, pp. 718-731
-
-
Picioreanu, C.1
van Loosdrecht, M.C.M.2
Heijnen, J.J.3
-
13
-
-
0035450553
-
Quantitative cellular automaton model for biofilms
-
Pizarro, G., Griffeath, D., Noguera, D.: Quantitative cellular automaton model for biofilms. J. Env. Eng. 127(9), 782-789 (2001)
-
(2001)
J. Env. Eng
, vol.127
, Issue.9
, pp. 782-789
-
-
Pizarro, G.1
Griffeath, D.2
Noguera, D.3
-
14
-
-
23244442896
-
Bitwise implementation of a 2D cellular automata biofilm model
-
Pizaro, G.E., Texiera, J., Sepulveda, M., Noguera, D.: Bitwise implementation of a 2D cellular automata biofilm model. J. Comp. Civ. Eng. 19(3), 258-268 (2005)
-
(2005)
J. Comp. Civ. Eng
, vol.19
, Issue.3
, pp. 258-268
-
-
Pizaro, G.E.1
Texiera, J.2
Sepulveda, M.3
Noguera, D.4
-
15
-
-
0003589034
-
-
de Gruyter, Berlin
-
Samarskii, A.A., Galaktionov, V.A., Kurdyumov, S.P., Mikhailov, A.P.: Blow-up in quasilienar parabolic equations. de Gruyter, Berlin (1995)
-
(1995)
Blow-up in quasilienar parabolic equations
-
-
Samarskii, A.A.1
Galaktionov, V.A.2
Kurdyumov, S.P.3
Mikhailov, A.P.4
-
16
-
-
38749089434
-
Lagrangian modelling of plankton motion: From deceptively simple random walks to Fokker-Planck and back again
-
Visser, A.W.: Lagrangian modelling of plankton motion: From deceptively simple random walks to Fokker-Planck and back again. J. Mar. Sys. 70(3-4), 287-299 (2008)
-
(2008)
J. Mar. Sys
, vol.70
, Issue.3-4
, pp. 287-299
-
-
Visser, A.W.1
-
17
-
-
34249731838
-
-
IWAPublishing, London
-
Wanner, O., Eberl, H., Morgenorth, O., Noguera, D., Picioreanu, D., Rittmann, B., van Loosdrecht, M.: Mathematical Modelling of Biofilms. IWAPublishing, London (2006)
-
(2006)
Mathematical Modelling of Biofilms
-
-
Wanner, O.1
Eberl, H.2
Morgenorth, O.3
Noguera, D.4
Picioreanu, D.5
Rittmann, B.6
van Loosdrecht, M.7
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