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Volumn 4, Issue 1, 2008, Pages 72-101

Phase-field models for biofilms II. 2-D numerical simulations of biofilm-flow interaction

Author keywords

Biofilm; Cahn Hilliard equation; Finite difference method; Multiphase flow; Phase filed

Indexed keywords


EID: 50049125083     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (92)

References (28)
  • 1
    • 50049128021 scopus 로고    scopus 로고
    • A Multidimensional Multispecies Continuum Model for Heterogeneous Biofilm
    • Preprint
    • E. Alpkvist and I. Klapper, A Multidimensional Multispecies Continuum Model for Heterogeneous Biofilm Development, Preprint, 2005.
    • (2005) Development
    • Alpkvist, E.1    Klapper, I.2
  • 4
    • 33746012315 scopus 로고
    • Free energy of a nonuniform system. I: Interfacial free energy
    • J. W. Cahn and J. E. Hilliard, Free energy of a nonuniform system. I: Interfacial free energy, J. Chem. Phys., 28 (1958), 258-267.
    • (1958) J. Chem. Phys , vol.28 , pp. 258-267
    • Cahn, J.W.1    Hilliard, J.E.2
  • 5
    • 0013356201 scopus 로고
    • Free energy of a nonuniform system. III. Nucleation in a two-component incompressible fluid
    • J. W. Cahn and J. E. Hilliard, Free energy of a nonuniform system. III. Nucleation in a two-component incompressible fluid, J. Chem. Phys., 31 (1959), 688-699.
    • (1959) J. Chem. Phys , vol.31 , pp. 688-699
    • Cahn, J.W.1    Hilliard, J.E.2
  • 6
    • 3042785070 scopus 로고    scopus 로고
    • The role of biofilm matrix in structural development
    • N. Cogan and J. Keener, The role of biofilm matrix in structural development, Math. Med. Biol., 21(2) (2004), 147-166.
    • (2004) Math. Med. Biol , vol.21 , Issue.2 , pp. 147-166
    • Cogan, N.1    Keener, J.2
  • 7
    • 29144517798 scopus 로고    scopus 로고
    • Channel formation in gels
    • N. G. Cogan and J. Keener, Channel formation in gels, SIAM J. Appl. Math., 65(6) (2005), 1839-1854.
    • (2005) SIAM J. Appl. Math , vol.65 , Issue.6 , pp. 1839-1854
    • Cogan, N.G.1    Keener, J.2
  • 9
    • 0036302101 scopus 로고    scopus 로고
    • Finger formation in biofilm layers
    • J. Dockery and I. Mapper, Finger formation in biofilm layers, SIAM J. Appl. Math., 62 (2002), 853-869.
    • (2002) SIAM J. Appl. Math , vol.62 , pp. 853-869
    • Dockery, J.1    Mapper, I.2
  • 13
    • 33746140897 scopus 로고    scopus 로고
    • An overview of projection methods for incompressible flows
    • J. L. Guermond, P. Minev and J. Shen, An overview of projection methods for incompressible flows, Comput. Method. Appl. Mech. Engrg., 195 (2006), 6011-6045.
    • (2006) Comput. Method. Appl. Mech. Engrg , vol.195 , pp. 6011-6045
    • Guermond, J.L.1    Minev, P.2    Shen, J.3
  • 14
    • 0346847532 scopus 로고    scopus 로고
    • Bacterial biofilms of importance to medicine and bioterrorism: Proteomic techniques to identify novel vaccine components and drug targets
    • D. J. Hassett, P. A. Limbach, R. F. Hennigan, K. E. Klose, R. E. Hancock, M. D. Platt and D. F. Hunt, Bacterial biofilms of importance to medicine and bioterrorism: Proteomic techniques to identify novel vaccine components and drug targets, Expert Opin. Biol. Ther., 3(8) 2003, 1201-7.
    • (2003) Expert Opin. Biol. Ther , vol.3 , Issue.8 , pp. 1201-1207
    • Hassett, D.J.1    Limbach, P.A.2    Hennigan, R.F.3    Klose, K.E.4    Hancock, R.E.5    Platt, M.D.6    Hunt, D.F.7
  • 16
    • 50049135819 scopus 로고    scopus 로고
    • C. A. A. Lima, R. Ribeiro, E. Foresti and M. Zaiat, Morphological Study of Biomass During the Start-Up Period of a Fixed-Bed Anaerobic Reactor Treating Domestic Sewage, Brazilian Archives of Biology and Technology
    • C. A. A. Lima, R. Ribeiro, E. Foresti and M. Zaiat, Morphological Study of Biomass During the Start-Up Period of a Fixed-Bed Anaerobic Reactor Treating Domestic Sewage, Brazilian Archives of Biology and Technology.
  • 17
    • 3042593639 scopus 로고    scopus 로고
    • Effect of heterogeneous structure in mechanically unstressed biofilms on overall growth
    • I. Klapper, Effect of heterogeneous structure in mechanically unstressed biofilms on overall growth, B. Math. Biol., 66 (2004), 809-824.
    • (2004) B. Math. Biol , vol.66 , pp. 809-824
    • Klapper, I.1
  • 18
    • 0037027377 scopus 로고    scopus 로고
    • Viscoelastic fluid description of bacterial biofilm material properties
    • I. Klapper, C. J. Rupp, R. Cargo, B. Purvedorj and P. Stoodley, Viscoelastic fluid description of bacterial biofilm material properties, Biotechnol. Bioeng., 80(3) (2002), 289-296.
    • (2002) Biotechnol. Bioeng , vol.80 , Issue.3 , pp. 289-296
    • Klapper, I.1    Rupp, C.J.2    Cargo, R.3    Purvedorj, B.4    Stoodley, P.5
  • 19
    • 33748431397 scopus 로고    scopus 로고
    • Role of cohesion in the material description of biofilms
    • I. Mapper and J. Dockery, Role of cohesion in the material description of biofilms, Phys. Rev. E, 74 (2006), 031902.
    • (2006) Phys. Rev. E , vol.74 , pp. 031902
    • Mapper, I.1    Dockery, J.2
  • 21
    • 18844399860 scopus 로고
    • Dynamical theory of concentration fluctuations in polymer solutions under shear
    • S. T. Milner, Dynamical theory of concentration fluctuations in polymer solutions under shear, Phys. Rev. E, 48(5) 1993, 3674-3691.
    • (1993) Phys. Rev. E , vol.48 , Issue.5 , pp. 3674-3691
    • Milner, S.T.1
  • 22
    • 0032485575 scopus 로고    scopus 로고
    • Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach
    • C. Picioreanu, M. van Loosdrecht and J. Heijnen, Mathematical modeling of biofilm structure with a hybrid differential-discrete cellular automaton approach, Biotechnol. Bioeng. 58 (1998), 101-116.
    • (1998) Biotechnol. Bioeng , vol.58 , pp. 101-116
    • Picioreanu, C.1    van Loosdrecht, M.2    Heijnen, J.3
  • 26
    • 4244088958 scopus 로고    scopus 로고
    • Viscoelastic model of phase separation
    • H. Tanaka, Viscoelastic model of phase separation, Phys. Rev. E, 56(4) (1997), 4451-4462.
    • (1997) Phys. Rev. E , vol.56 , Issue.4 , pp. 4451-4462
    • Tanaka, H.1
  • 28
    • 50049125717 scopus 로고    scopus 로고
    • T. Zhang, N. Cogan and Q. Wang, Phase-Field Models for Biofilms. I. Theory and 1-D Simulations, submitted to SIAP, 2007.
    • T. Zhang, N. Cogan and Q. Wang, Phase-Field Models for Biofilms. I. Theory and 1-D Simulations, submitted to SIAP, 2007.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.