메뉴 건너뛰기




Volumn 2, Issue 2, 2007, Pages 333-357

Modeling cell movement in anisotropic and heterogeneous network tissues

Author keywords

Cell motion; Fiber network; Mathematical model

Indexed keywords

ANISOTROPY; CYTOLOGY; FIBERS; HETEROGENEOUS NETWORKS; MATHEMATICAL MODELS;

EID: 55649108765     PISSN: 15561801     EISSN: 1556181X     Source Type: Journal    
DOI: 10.3934/nhm.2007.2.333     Document Type: Article
Times cited : (83)

References (29)
  • 1
    • 0003135551 scopus 로고
    • Singular perturbation of differential integral equations describing biased random walks
    • W. Alt, Singular perturbation of differential integral equations describing biased random walks, J. reine angew. Math., 322 (1981), 15-41.
    • (1981) J. reine angew. Math , vol.322 , pp. 15-41
    • Alt, W.1
  • 2
    • 33845528960 scopus 로고    scopus 로고
    • Cellular traction as an inverse problem
    • D. Ambrosi, Cellular traction as an inverse problem, SIAM J. Appl. Math., 66 (2006), 2049-2060.
    • (2006) SIAM J. Appl. Math , vol.66 , pp. 2049-2060
    • Ambrosi, D.1
  • 7
    • 3042580676 scopus 로고    scopus 로고
    • Kinetics models for chemotaxis and their drift-diffusion limits
    • F. A. C. C. Chalub, P. A. Markowich, B. Perthame and C. Schmeiser, Kinetics models for chemotaxis and their drift-diffusion limits, Monatsh. Math., 142 (2004), 123-141.
    • (2004) Monatsh. Math , vol.142 , pp. 123-141
    • Chalub, F.A.C.C.1    Markowich, P.A.2    Perthame, B.3    Schmeiser, C.4
  • 9
    • 0033066120 scopus 로고    scopus 로고
    • Stresses at the cell-to-substrate interface during locomotion of fibroblasts
    • M. Dembo and Y. L. Wang, Stresses at the cell-to-substrate interface during locomotion of fibroblasts, Biophysical J., 76 (1999), 2307-2316.
    • (1999) Biophysical J , vol.76 , pp. 2307-2316
    • Dembo, M.1    Wang, Y.L.2
  • 10
    • 33747088671 scopus 로고    scopus 로고
    • A model for cell migration by contact guidance
    • eds: W. Alt, A. Deutsch and G. Dunn, Basel, Birkhauser
    • R. B. Dickinson, A model for cell migration by contact guidance, in "Dynamics of Cell and Tissue Motion" (eds: W. Alt, A. Deutsch and G. Dunn), Basel, Birkhauser, (1997), 149-158.
    • (1997) Dynamics of Cell and Tissue Motion , pp. 149-158
    • Dickinson, R.B.1
  • 11
    • 0034138011 scopus 로고    scopus 로고
    • A generalized transport model for biased cell migration in an anisotropic environment
    • R. B. Dickinson, A generalized transport model for biased cell migration in an anisotropic environment, J. Math. Biol., 40 (2000), 97-135.
    • (2000) J. Math. Biol , vol.40 , pp. 97-135
    • Dickinson, R.B.1
  • 13
    • 0027342528 scopus 로고
    • A stochastic model for cell random motility and haptotaxis based on adhesion receptor fluctuations
    • R. B. Dickinson and R. T. Tranquillo, A stochastic model for cell random motility and haptotaxis based on adhesion receptor fluctuations, J. Math. Biol., 31 (1993), 563-600.
    • (1993) J. Math. Biol , vol.31 , pp. 563-600
    • Dickinson, R.B.1    Tranquillo, R.T.2
  • 14
    • 0029391714 scopus 로고
    • Transport equations and cell movement indices based on single cell properties
    • R. B. Dickinson and R. T. Tranquillo, Transport equations and cell movement indices based on single cell properties, SIAM J. Appl. Math., 55 (1995), 1419-1454.
    • (1995) SIAM J. Appl. Math , vol.55 , pp. 1419-1454
    • Dickinson, R.B.1    Tranquillo, R.T.2
  • 15
    • 13844271463 scopus 로고    scopus 로고
    • Derivation of hyperbolic models for chemosensitive movement
    • F. Filbet, P. Laurençot and B. Perthame, Derivation of hyperbolic models for chemosensitive movement, J. Math. Biol., 50 (2005), 189-207.
    • (2005) J. Math. Biol , vol.50 , pp. 189-207
    • Filbet, F.1    Laurençot, P.2    Perthame, B.3
  • 16
    • 1642282882 scopus 로고    scopus 로고
    • Prespecification and plasticity: Shifting mechanisms of cell migration
    • P. Friedl, Prespecification and plasticity: shifting mechanisms of cell migration, Curr. Opin. Cell. Biol., 16 (2004), 14-23.
    • (2004) Curr. Opin. Cell. Biol , vol.16 , pp. 14-23
    • Friedl, P.1
  • 17
    • 0033952145 scopus 로고    scopus 로고
    • The biology of cell locomotion within three dimensional extracellular matrix
    • P. Friedl and E. B. Bröcker, The biology of cell locomotion within three dimensional extracellular matrix, Cell Motility Life Sci., 57 (2000), 41-64.
    • (2000) Cell Motility Life Sci , vol.57 , pp. 41-64
    • Friedl, P.1    Bröcker, E.B.2
  • 18
    • 0038049137 scopus 로고    scopus 로고
    • Tumour-cell invasion and migration: Diversity and escape mechanisms
    • P. Friedl and K. Wolf, Tumour-cell invasion and migration: diversity and escape mechanisms, Nature Rev., 3 (2003), 362-374.
    • (2003) Nature Rev , vol.3 , pp. 362-374
    • Friedl, P.1    Wolf, K.2
  • 21
    • 33748295649 scopus 로고    scopus 로고
    • (M5) Mesoscopic and macroscopic models for mesenchymal motion
    • T. Hillen, (M5) Mesoscopic and macroscopic models for mesenchymal motion, J. Math. Biol., 53 (2006), 585-616.
    • (2006) J. Math. Biol , vol.53 , pp. 585-616
    • Hillen, T.1
  • 22
    • 0034917420 scopus 로고    scopus 로고
    • The diffusion limit of transport equations derived from velocity jump processes
    • T. Hillen and H. G. Othmer, The diffusion limit of transport equations derived from velocity jump processes, SIAM J. Appl. Math., 61 (2000), 751-775.
    • (2000) SIAM J. Appl. Math , vol.61 , pp. 751-775
    • Hillen, T.1    Othmer, H.G.2
  • 23
    • 38549145006 scopus 로고    scopus 로고
    • Exogenous control of vascular network formation in vitro: A mathematical model
    • V. Lanza, D. Ambrosi and L. Preziosi, Exogenous control of vascular network formation in vitro: A mathematical model, Networks and Heterogeneous Media, 1 (2006), 621-637.
    • (2006) Networks and Heterogeneous Media , vol.1 , pp. 621-637
    • Lanza, V.1    Ambrosi, D.2    Preziosi, L.3
  • 24
    • 4944248574 scopus 로고    scopus 로고
    • Volume-filling and quorum sensing in models for chemosensitive movement
    • K. Painter and T. Hillen, Volume-filling and quorum sensing in models for chemosensitive movement, Canadian Applied Mathematics Quarterly, 10 (2002), 501-543.
    • (2002) Canadian Applied Mathematics Quarterly , vol.10 , pp. 501-543
    • Painter, K.1    Hillen, T.2
  • 27
    • 33748681719 scopus 로고    scopus 로고
    • Mechanics and chemotaxis in the morphogenesis of vascular networks
    • A. Tosin, D. Ambrosi and L. Preziosi, Mechanics and chemotaxis in the morphogenesis of vascular networks, Bull. Math. Biol., 68 (2006), 1819-1836.
    • (2006) Bull. Math. Biol , vol.68 , pp. 1819-1836
    • Tosin, A.1    Ambrosi, D.2    Preziosi, L.3
  • 28
    • 33747149728 scopus 로고    scopus 로고
    • A continuum model for the role of fibroblast contact guidance in wound contraction
    • eds: W. Alt, A. Deutsch and G. Dunn, Basel, Birkhauser
    • R. T. Tranquillo and V. H. Barocas, A continuum model for the role of fibroblast contact guidance in wound contraction, in "Dynamics of Cell and Tissue Motion" (eds: W. Alt, A. Deutsch and G. Dunn), Basel, Birkhauser, (1997), 159-164.
    • (1997) Dynamics of Cell and Tissue Motion , pp. 159-164
    • Tranquillo, R.T.1    Barocas, V.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.