메뉴 건너뛰기




Volumn 58, Issue 3, 2009, Pages 395-427

A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion

Author keywords

Cell to cell adhesion; Continuous and discrete models of cell motility; Ill posed problems; Modified equations; Nonlinear diffusion equations

Indexed keywords

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; CELL ADHESION; CELL AGGREGATION; CELL MOTION; MATHEMATICAL COMPUTING; PHYSIOLOGY;

EID: 58149280080     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-008-0197-8     Document Type: Article
Times cited : (88)

References (16)
  • 1
    • 33749069471 scopus 로고    scopus 로고
    • A continuum approach to modelling cell-cell adhesion
    • 1
    • N. Armstrong K. Painter J. Sherratt 2006 A continuum approach to modelling cell-cell adhesion J. Theor. Biol. 243 1 98 113
    • (2006) J. Theor. Biol. , vol.243 , pp. 98-113
    • Armstrong, N.1    Painter, K.2    Sherratt, J.3
  • 2
    • 15944404246 scopus 로고    scopus 로고
    • VE-cadherin is not required for the formation of nascent blood vessels but acts to prevent their disassembly
    • 7
    • C. Crosby P. Fleming S. Argraves M. Corada L. Zanetta E. Dejana C. Drake 2005 VE-cadherin is not required for the formation of nascent blood vessels but acts to prevent their disassembly Blood. 105 7 2771 2776
    • (2005) Blood. , vol.105 , pp. 2771-2776
    • Crosby, C.1    Fleming, P.2    Argraves, S.3    Corada, M.4    Zanetta, L.5    Dejana, E.6    Drake, C.7
  • 3
    • 33644610345 scopus 로고    scopus 로고
    • The Keller-Segel model with logistic sensitivity function and small diffusivity
    • 1
    • Y. Dolak C. Schmeiser 2005 The Keller-Segel model with logistic sensitivity function and small diffusivity SIAM J. Appl. Math. 66 1 286 308
    • (2005) SIAM J. Appl. Math. , vol.66 , pp. 286-308
    • Dolak, Y.1    Schmeiser, C.2
  • 4
    • 0035916868 scopus 로고    scopus 로고
    • Dynamics of spheroid self-assembly in liquid-overlay culture of du 145 human prostate-cancer cells
    • 6
    • R. Enmon K. O'Connor D. Lacks D. Schwartz R. Dotson 2001 Dynamics of spheroid self-assembly in liquid-overlay culture of DU 145 human prostate-cancer cells Biotechnol. Bioeng. 72 6 579 591
    • (2001) Biotechnol. Bioeng. , vol.72 , pp. 579-591
    • Enmon, R.1    O'Connor, K.2    Lacks, D.3    Schwartz, D.4    Dotson, R.5
  • 5
    • 0000825469 scopus 로고
    • Simulation of the differential-adhesion driven rearrangement of biological cells
    • 3
    • J. Glazier F. Graner 1993 Simulation of the differential-adhesion driven rearrangement of biological cells Phys. Rev. E. 47 3 2128 2154
    • (1993) Phys. Rev. E. , vol.47 , pp. 2128-2154
    • Glazier, J.1    Graner, F.2
  • 6
    • 0025173903 scopus 로고
    • The neural cell-adhesion molecule N-CAM enhances L1-dependent cell-cell interactions
    • G. Kadmon A. Kowitz P. Altevogt M. Schachner 1990 The neural cell-adhesion molecule N-CAM enhances L1-dependent cell-cell interactions J. Cell. Biol. 110 193 208
    • (1990) J. Cell. Biol. , vol.110 , pp. 193-208
    • Kadmon, G.1    Kowitz, A.2    Altevogt, P.3    Schachner, M.4
  • 8
    • 0031019846 scopus 로고    scopus 로고
    • A model for the kinetics of homotypic cellular aggregation under static conditions
    • 1
    • S. Neelamegham L. Munn K. Zygourakis 1997 A model for the kinetics of homotypic cellular aggregation under static conditions Biophys J. 72 1 5164
    • (1997) Biophys J. , vol.72 , pp. 5164
    • Neelamegham, S.1    Munn, L.2    Zygourakis, K.3
  • 9
    • 0031207030 scopus 로고    scopus 로고
    • Aggregation, blowup, and collapse: The ABC's of taxis in reinforced random walks
    • 4
    • H. Othmer A. Stevens 1997 Aggregation, blowup, and collapse: the ABC's of taxis in reinforced random walks SIAM J. Appl. Math. 57 4 1044 1081
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1044-1081
    • Othmer, H.1    Stevens, A.2
  • 10
    • 4944248574 scopus 로고    scopus 로고
    • Volume-filling and quorum-sensing in models for chemosensitive movement
    • 4
    • K. Painter T. Hillen 2002 Volume-filling and quorum-sensing in models for chemosensitive movement Can. Appl. Math. Quart. 10 4 501 543
    • (2002) Can. Appl. Math. Quart. , vol.10 , pp. 501-543
    • Painter, K.1    Hillen, T.2
  • 11
    • 21244493212 scopus 로고    scopus 로고
    • Metastability in chemotaxis models
    • 2
    • A. Potapov T. Hillen 2005 Metastability in chemotaxis models J. Dynam. Diff. Eq. 17 2 293 330
    • (2005) J. Dynam. Diff. Eq. , vol.17 , pp. 293-330
    • Potapov, A.1    Hillen, T.2
  • 13
    • 0039596502 scopus 로고    scopus 로고
    • The dynamics and coarsening of interfaces for the viscous Cahn-Hilliard equation in one spatial dimension
    • X. Sun M. Ward 2000 The dynamics and coarsening of interfaces for the viscous Cahn-Hilliard equation in one spatial dimension Stud. Appl. Math. 105 203 234
    • (2000) Stud. Appl. Math. , vol.105 , pp. 203-234
    • Sun, X.1    Ward, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.