메뉴 건너뛰기




Volumn 27, Issue 1, 2009, Pages 39-74

Continuum approximations of individual-based models for epithelial monolayers

Author keywords

Continuum; Epithelial; Homogenization; Individual based; Monolayer; Multicellular

Indexed keywords

BIOMECHANICS; CONTINUUM MECHANICS; CYTOLOGY; DIFFERENTIAL EQUATIONS; MONOLAYERS;

EID: 77955636456     PISSN: 14778599     EISSN: 14778602     Source Type: Journal    
DOI: 10.1093/imammb/dqp015     Document Type: Article
Times cited : (66)

References (79)
  • 2
    • 35348964624 scopus 로고    scopus 로고
    • Continuous macroscopic limit of a discrete stochastic model for interaction of living cells
    • ALBER, M., CHEN, N., LUSHNIKOV, P. M. & NEWMAN, S. A. (2007) Continuous macroscopic limit of a discrete stochastic model for interaction of living cells. Phys. Rev. Lett., 99, 168102.
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 168102
    • Alber, M.1    Chen, N.2    Lushnikov, P.M.3    Newman, S.A.4
  • 4
    • 49449118528 scopus 로고    scopus 로고
    • Stochastic dynamics of viscoelastic skeins: condensation waves and continuum limits, Math
    • ALBEVERIO, S. & ALT, W. (2008) Stochastic dynamics of viscoelastic skeins: condensation waves and continuum limits, Math. Models Methods Appl. Sci., 18, 1149-1191.
    • (2008) Models Methods Appl. Sci. , vol.18 , pp. 1149-1191
    • Albeverio S1    Alt, W.2
  • 5
    • 17144399040 scopus 로고    scopus 로고
    • Nonlinear hyperbolic systems of generalized Navier-Stokes type for interactive motion in biology
    • (S. Hildebrandt & H. Karcher eds). Heidelberg: Springer
    • ALT, W. (2002) Nonlinear hyperbolic systems of generalized Navier-Stokes type for interactive motion in biology. Geometric Analysis and Nonlinear Partial Differential Equations (S. Hildebrandt & H. Karcher eds). Heidelberg: Springer, pp. 431-461.
    • (2002) Geometric Analysis and Nonlinear Partial Differential Equations , pp. 431-461
    • Alt, W.1
  • 6
    • 58349118790 scopus 로고    scopus 로고
    • A hybrid multiscale model of tumour invasion: evolution and the microenvironment
    • (A. Anderson, M. Chaplain & K. Rejniak eds), chapter I.1. Basel: Birkhäuser
    • ANDERSON, A. R. A. (2007) A hybrid multiscale model of tumour invasion: evolution and the microenvironment. Single-cell-based Models in Biology and Medicine, Mathematics and Biosciences in Interaction (A. Anderson, M. Chaplain & K. Rejniak eds), chapter I.1. Basel: Birkhäuser, pp. 3-28.
    • (2007) Single-cell-based Models in Biology and Medicine, Mathematics and Biosciences in Interaction , pp. 3-28
    • Anderson, A.R.A.1
  • 7
    • 39749086288 scopus 로고    scopus 로고
    • Integrative mathematical oncology
    • ANDERSON, A. R. A. & QUARANTA, V. (2008) Integrative mathematical oncology. Nat. Rev. Cancer, 8, 227-234.
    • (2008) Nat. Rev. Cancer , vol.8 , pp. 227-234
    • Anderson, A.R.A.1    Quaranta, V.2
  • 8
    • 3843079723 scopus 로고    scopus 로고
    • A history of the study of solid tumour growth: the contribution of mathematical modelling
    • ARAUJO, R. P. & MCELWAIN, D. L. S. (2002) A history of the study of solid tumour growth: the contribution of mathematical modelling, Bull. Math. Biol., 66, 1039-1091.
    • (2002) Bull. Math. Biol. , vol.66 , pp. 1039-1091
    • Araujo, R.P.1    Mcelwain, D.L.S.2
  • 9
    • 36248938881 scopus 로고
    • Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata)
    • BARENBLATT, G. I., ZHELTOV, I. P. & KOCHINA, I. N. (1960) Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata). J. Appl. Math. Mech., 24, 1286-1303.
    • (1960) J. Appl. Math. Mech. , vol.24 , pp. 1286-1303
    • Barenblatt, G.I.1    Zheltov, I.P.2    Kochina, I.N.3
  • 11
    • 34047105209 scopus 로고    scopus 로고
    • Sheet migration by wounded monolayers as an emergent property of single-cell dynamics
    • BINDSCHADLER, M. & MCGRATH, J. L. (2007) Sheet migration by wounded monolayers as an emergent property of single-cell dynamics. J. Cell Sci., 120, 876-884.
    • (2007) J. Cell Sci. , vol.120 , pp. 876-884
    • Bindschadler, M.1    Mcgrath, J.L.2
  • 12
    • 25444471803 scopus 로고    scopus 로고
    • Derivation of macroscopic equations for individual cell-based models: a formal approach
    • BODNAR, M. & VELAZQUEZ, J. J. L (2005) Derivation of macroscopic equations for individual cell-based models: a formal approach. Math. Models Methods Appl. Sci., 28, 1757-1779.
    • (2005) Math. Models Methods Appl. Sci. , vol.28 , pp. 1757-1779
    • Bodnar, M.1    Velazquez, J.J.L.2
  • 13
    • 0035400302 scopus 로고    scopus 로고
    • Travelling fronts and wave propagation failure in an inhomogeneous neural network
    • BRESSLOFF, P. C. (2001). Travelling fronts and wave propagation failure in an inhomogeneous neural network. Phys. D, 155, 83-100.
    • (2001) Phys. D , vol.155 , pp. 83-100
    • Bressloff, P.C.1
  • 14
    • 3142590127 scopus 로고    scopus 로고
    • Computational modeling of cell sorting, tissue engulfment, and related phenomena: a review
    • BRODLAND, G. W. (2004) Computational modeling of cell sorting, tissue engulfment, and related phenomena: a review. Appl. Mech. Rev., 57, 47-76.
    • (2004) Appl. Mech. Rev. , vol.57 , pp. 47-76
    • Brodland, G.W.1
  • 15
    • 0030431867 scopus 로고    scopus 로고
    • Modelling the role of cell-cell adhesion in the growth and development of carcinomas
    • BYRNE, H. M. & CHAPLAIN, M. A. J. (1996) Modelling the role of cell-cell adhesion in the growth and development of carcinomas. Math. Comput. Model., 24, 1-17.
    • (1996) Math. Comput. Model. , vol.24 , pp. 1-17
    • Byrne, H.M.1    Chaplain, M.A.J.2
  • 17
    • 0033804728 scopus 로고    scopus 로고
    • Cell-level finite-element studies of viscous cells in planar aggregates
    • CHEN, H. H. & BRODLAND, G. W. (2000) Cell-level finite-element studies of viscous cells in planar aggregates. J. Biomech. Eng., 122, 394-401.
    • (2000) J. Biomech. Eng. , vol.122 , pp. 394-401
    • Chen, H.H.1    Brodland, G.W.2
  • 18
    • 0343389100 scopus 로고
    • Modeling of cell and tissue movements in the developing embryo
    • CHILDRESS, S. & PERCUS, J. P. (1981) Modeling of cell and tissue movements in the developing embryo. Lect Math Life Sci., 14, 59-88.
    • (1981) Lect Math Life Sci , vol.14 , pp. 59-88
    • Childress, S.1    Percus, J.P.2
  • 19
    • 0033379389 scopus 로고    scopus 로고
    • Regulation of the insulin-like growth factor axis by increasing cell number in intestinal epithelial (IEC-6) cells
    • CORKINS, M. R., PARK, J. H. Y, DAVIS, D. V., SLENTZ, D. H. & MACDONALD, R. G. (1999) Regulation of the insulin-like growth factor axis by increasing cell number in intestinal epithelial (IEC-6) cells. Growth Horm. IGF Res., 9, 414-424.
    • (1999) Growth Horm. IGF Res. , vol.9 , pp. 414-424
    • Corkins, M.R.1    Park, J.H.Y.2    Davis, D.V.3    Slentz, D.H.4    Macdonald, R.G.5
  • 21
    • 29144486760 scopus 로고    scopus 로고
    • Coarse graining in simulated cell populations
    • DRASDO, D. (2005) Coarse graining in simulated cell populations. Adv. Complex Syst., 8, 319-363.
    • (2005) Adv. Complex Syst. , vol.8 , pp. 319-363
    • Drasdo, D.1
  • 23
    • 34547655761 scopus 로고    scopus 로고
    • Biomechanical modelling of colorectal crypt budding and fission
    • EDWARDS, C. M. & CHAPMAN, S. J. (2007). Biomechanical modelling of colorectal crypt budding and fission. Bull. Math. Biol., 69, 1927-1942.
    • (2007) Bull. Math. Biol. , vol.69 , pp. 1927-1942
    • Edwards, C.M.1    Chapman, S.J.2
  • 24
    • 14044271408 scopus 로고    scopus 로고
    • Multiple rows of cells behind an epithelial wound edge extend cryptic lamellipodia to collectively drive cell-sheet movement
    • FAROOQUI, R. & FENTEANY, G. (2005) Multiple rows of cells behind an epithelial wound edge extend cryptic lamellipodia to collectively drive cell-sheet movement. J. Cell Sci., 118, 51-63.
    • (2005) J. Cell Sci. , vol.118 , pp. 51-63
    • Farooqui, R.1    Fenteany, G.2
  • 25
    • 11244250625 scopus 로고    scopus 로고
    • Modeling the effect of deregulated proliferation and apoptosis on the growth dynamics of epithelial cell populations in vitro
    • GALLE, J., LOEFFLER, M. & DRASDO, D. (2005) Modeling the effect of deregulated proliferation and apoptosis on the growth dynamics of epithelial cell populations in vitro. Biophys. J., 88, 62-75.
    • (2005) Biophys. J. , vol.88 , pp. 62-75
    • Galle, J.1    Loeffler, M.2    Drasdo, D.3
  • 27
    • 34447534736 scopus 로고    scopus 로고
    • Homogenization of the cell cytoplasm: the calcium bidomain equations
    • GOEL, P., SNEYD, J. & FRIEDMAN, A. (2006) Homogenization of the cell cytoplasm: the calcium bidomain equations. Multiscale Model. Simul., 5, 1045-1062.
    • (2006) Multiscale Model. Simul. , vol.5 , pp. 1045-1062
    • Goel, P.1    Sneyd, J.2    Friedman, A.3
  • 28
    • 0000135489 scopus 로고
    • Simulation of biological cell sorting using a two-dimensional extended Potts model
    • GRANER, F. & GLAZIER, J. A. (1992) Simulation of biological cell sorting using a two-dimensional extended Potts model. Phys. Rev. Lett., 69, 2013-2016.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2013-2016
    • Graner, F.1    Glazier, J.A.2
  • 29
    • 0017198676 scopus 로고
    • On the growth and stability of cell cultures and solid tumors
    • GREENSPAN, H. P. (1976) On the growth and stability of cell cultures and solid tumors. J. Theor. Biol., 56, 229-242.
    • (1976) J. Theor. Biol. , vol.56 , pp. 229-242
    • Greenspan, H.P.1
  • 30
    • 21244432037 scopus 로고    scopus 로고
    • Collective movement of epithelial cells on a collagen gel substrate
    • HAGA, H., IRAHARA, C., KOBAYSHI, R., NAKAGAKI, T. & KAWABATA, K. (2005) Collective movement of epithelial cells on a collagen gel substrate. Biophys. J., 88, 2250-2256.
    • (2005) Biophys. J. , vol.88 , pp. 2250-2256
    • Haga, H.1    Irahara, C.2    Kobayshi, R.3    Nakagaki, T.4    Kawabata, K.5
  • 31
    • 38949170737 scopus 로고    scopus 로고
    • Physical modeling of cell geometric order in an epithelial tissue
    • HILGENFELDT, S., ERIKSEN, S. & CARTHEW, R. W. (2008) Physical modeling of cell geometric order in an epithelial tissue. Proc. Natl Acad. Sci. USA, 105, 907-911.
    • (2008) Proc. Natl Acad. Sci. USA , vol.105 , pp. 907-911
    • Hilgenfeldt, S.1    Eriksen, S.2    Carthew, R.W.3
  • 32
    • 0034696764 scopus 로고    scopus 로고
    • Evolving mechanisms of morphogenesis: on the interplay between differential adhesion and cell differentiation
    • HOGEWEG, P. (2000) Evolving mechanisms of morphogenesis: on the interplay between differential adhesion and cell differentiation. J. Theor. Biol., 203, 317-333.
    • (2000) J. Theor. Biol. , vol.203 , pp. 317-333
    • Hogeweg, P.1
  • 33
    • 0004260786 scopus 로고    scopus 로고
    • Hornung, U., (ed), Heidelberg: Springer
    • HORNUNG, U. (ed.) (1997) Homogenization and Porous Media. Heidelberg: Springer.
    • (1997) Homogenization and Porous Media
  • 34
    • 44349126693 scopus 로고    scopus 로고
    • Colonic crypt organization and tumorigenesis
    • HUMPHRIES, A. & WRIGHT, N. A. (2008) Colonic crypt organization and tumorigenesis. Nat. Rev. Cancer, 8, 415-424.
    • (2008) Nat. Rev. Cancer , vol.8 , pp. 415-424
    • Humphries A1    Wright, N.A.2
  • 35
    • 0000182228 scopus 로고
    • Diffusion theory of nonequilibrium dissociation and recombination
    • KECK, J. & CARRIER, G. (1965) Diffusion theory of nonequilibrium dissociation and recombination. J. Chem. Phys., 43, 2284-2298.
    • (1965) J. Chem. Phys. , vol.43 , pp. 2284-2298
    • Keck, J.1    Carrier, G.2
  • 36
    • 0346057259 scopus 로고    scopus 로고
    • Homogenization and propagation in the bistable equation
    • KEENER, J. P. (2000) Homogenization and propagation in the bistable equation. Phys. D, 136, 1-17.
    • (2000) Phys. D , vol.136 , pp. 1-17
    • Keener, J.P.1
  • 38
    • 27744538492 scopus 로고    scopus 로고
    • Planar cell polarization: an emerging model points in the right direction
    • KLEIN, T. J. & MLODZIK, M. (2005) Planar cell polarization: an emerging model points in the right direction. Annu. Rev. Cell Dev. Biol., 21, 155-176.
    • (2005) Annu. Rev. Cell Dev. Biol. , vol.21 , pp. 155-176
    • Klein, T.J.1    Mlodzik, M.2
  • 39
    • 17744372759 scopus 로고
    • Stroboscopic-perturbation procedure for treating a class of nonlinear wave equations
    • KRUSKAL, M. D. & ZABUSKY, N. J. (1964) Stroboscopic-perturbation procedure for treating a class of nonlinear wave equations. J. Math. Phys., 5, 231-244.
    • (1964) J. Math. Phys. , vol.5 , pp. 231-244
    • Kruskal, M.D.1    Zabusky, N.J.2
  • 40
    • 33645957316 scopus 로고    scopus 로고
    • Multiphase modelling of tissue growth using the theory of mixtures
    • LEMON, G., KING, J. R., BYRNE, H. M., JENSEN, O. E. & SHAKESHEFF, K. (2006) Multiphase modelling of tissue growth using the theory of mixtures. J. Math. Biol., 52, 571-594.
    • (2006) J. Math. Biol. , vol.52 , pp. 571-594
    • Lemon, G.1    King, J.R.2    Byrne, H.M.3    Jensen, O.E.4    Shakesheff, K.5
  • 41
    • 57749101104 scopus 로고    scopus 로고
    • Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact
    • LUSHNIKOV, P. M., CHEN, N. & ALBER, M. (2008) Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact. Phys. Rev. E, 78, 061904.
    • (2008) Phys. Rev. E , vol.78 , pp. 061904
    • Lushnikov, P.M.1    Chen, N.2    Alber, M.3
  • 43
    • 0030934532 scopus 로고    scopus 로고
    • Wound healing-aiming for perfect skin regeneration
    • MARTIN, P. (1997). Wound healing-aiming for perfect skin regeneration. Science, 276, 75-81.
    • (1997) Science , vol.276 , pp. 75-81
    • Martin, P.1
  • 44
    • 0034902642 scopus 로고    scopus 로고
    • Cell migration and organization in the intestinal crypt using a lattice-free model
    • MEINEKE, F. A., POTTEN, C. S. & LOEFFLER, M. (2001) Cell migration and organization in the intestinal crypt using a lattice-free model. Cell Prolif., 34, 253-266.
    • (2001) Cell Prolif , vol.34 , pp. 253-266
    • Meineke, F.A.1    Potten, C.S.2    Loeffler, M.3
  • 45
    • 17844408690 scopus 로고    scopus 로고
    • A cell-centered approach to developmental biology
    • MERKS, R. M. H. & GLAZIER, J. A. (2005) A cell-centered approach to developmental biology. Phys. A, 352, 113-130.
    • (2005) Phys. A , vol.352 , pp. 113-130
    • Merks, R.M.H.1    Glazier, J.A.2
  • 46
    • 36849055522 scopus 로고    scopus 로고
    • One-dimensional elastic continuum model of enterocyte layer migration
    • MI, Q., SWIGON, D., RIVI'E RE, B., CETIN, S., VODOVOTZ, Y. & HACKAM, D. J. (2007) One-dimensional elastic continuum model of enterocyte layer migration. Biophys. J., 93, 3745-3752.
    • (2007) Biophys. J. , vol.93 , pp. 3745-3752
    • Mi, Q.1    Swigon, D.2    Rivi'Ere, B.3    Cetin, S.4    Vodovotz, Y.5    Hackam, D.J.6
  • 49
    • 0035412834 scopus 로고    scopus 로고
    • A dynamic cell model for the formation of epithelial tissues
    • NAGAI, T. & HONDA, H. (2001) A dynamic cell model for the formation of epithelial tissues. Phil. Mag. B, 81, 699-719.
    • (2001) Phil. Mag. B , vol.81 , pp. 699-719
    • Nagai, T.1    Honda, H.2
  • 50
    • 37649030281 scopus 로고    scopus 로고
    • Many-body theory of chemotactic cell-cell interactions
    • NEWMAN, T. J. & GRIMA, R. (2004) Many-body theory of chemotactic cell-cell interactions. Phys. Rev. E, 70, 051916.
    • (2004) Phys. Rev. E , vol.70 , pp. 051916
    • Newman, T.J.1    Grima, R.2
  • 51
    • 4444349425 scopus 로고    scopus 로고
    • A model for restriction point control of the mammalian cell cycle
    • NOVÁ K, B. & TYSON, J. J. (2004) A model for restriction point control of the mammalian cell cycle. J. Theor. Biol., 230, 563-579.
    • (2004) J. Theor. Biol. , vol.230 , pp. 563-579
    • Novák, B.1    Tyson, J.J.2
  • 52
    • 0019756712 scopus 로고
    • The mechanical basis of morphogenesis. I. Epithelial folding and invagination
    • ODELL, G. M., OSTER, G., ALBERCH, P. & BURNSIDE, B. (1981) The mechanical basis of morphogenesis. I. Epithelial folding and invagination. Dev. Biol., 85, 446-462.
    • (1981) Dev. Biol. , vol.85 , pp. 446-462
    • Odell, G.M.1    Oster, G.2    Alberch, P.3    Burnside, B.4
  • 53
    • 0029584674 scopus 로고
    • A mechanichemical model for adult dermal wound contraction: on the permanence of the contracted tissue displacement profile
    • OLSEN, L., SHERRATT, J. A. & MAINI, P. K. (1995) A mechanichemical model for adult dermal wound contraction: on the permanence of the contracted tissue displacement profile. J. Theor. Biol., 177, 113-128.
    • (1995) J. Theor. Biol. , vol.177 , pp. 113-128
    • Olsen, L.1    Sherratt, J.A.2    Maini, P.K.3
  • 54
    • 0020675185 scopus 로고
    • A continuum model for coupled cells
    • OTHMER, H. G. (1983) A continuum model for coupled cells. J. Math. Biol., 17, 351-369.
    • (1983) J. Math. Biol. , vol.17 , pp. 351-369
    • Othmer, H.G.1
  • 55
    • 0033955578 scopus 로고    scopus 로고
    • Lateral induction by juxtacrine signaling is a new mechanism for pattern formation
    • OWEN, M. R., SHERRATT, J. A. & WEARING, H. J. (2000) Lateral induction by juxtacrine signaling is a new mechanism for pattern formation. Dev. Biol., 217, 54-61.
    • (2000) Dev. Biol. , vol.217 , pp. 54-61
    • Owen, M.R.1    Sherratt, J.A.2    Wearing, H.J.3
  • 58
    • 33748556828 scopus 로고    scopus 로고
    • Direct measurement of the lamellipodial protrusive force in a migrating cell
    • PRASS, M., JACOBSON, K., MOGILNER, A. & RADMACHER, M. (2006) Direct measurement of the lamellipodial protrusive force in a migrating cell. J. Cell. Biol., 174, 767-772.
    • (2006) J. Cell. Biol. , vol.174 , pp. 767-772
    • Prass, M.1    Jacobson, K.2    Mogilner, A.3    Radmacher, M.4
  • 59
    • 0018394382 scopus 로고
    • Epithelioid cell cultures from rat small intestine. Characterization by morphologic and immunologic criteria
    • QUARONI, A., WANDS, J., TRELSTAD, R. L. & ISSELBACHER, K. J. (1979) Epithelioid cell cultures from rat small intestine. Characterization by morphologic and immunologic criteria. J. Cell. Biol., 80, 248-265.
    • (1979) J. Cell. Biol. , vol.80 , pp. 248-265
    • Quaroni, A.1    Wands, J.2    Trelstad, R.L.3    Isselbacher, K.J.4
  • 60
    • 46749151795 scopus 로고    scopus 로고
    • Modeling the influence of the E-cadherin-β-catenin pathway in cancer cell invasion: a multiscale approach
    • RAMIS-CONDE, I., DRASDO, D. ANDERSON, A. R. A. & CHAPLAIN, M. A. J. (2008) Modeling the influence of the E-cadherin-β-catenin pathway in cancer cell invasion: a multiscale approach. Biophys. J., 95, 155-165.
    • (2008) Biophys. J. , vol.95 , pp. 155-165
    • Ramis-Conde, I.1    Drasdo, D.2    Anderson, A.R.A.3    Chaplain, M.A.J.4
  • 61
    • 23244464968 scopus 로고    scopus 로고
    • The dynamics and mechanics of endothelial cell spreading
    • REINHART-KING, C. A., DEMBO, M. & HAMMER, D. A. (2005) The dynamics and mechanics of endothelial cell spreading. Biophys. J., 89, 676-689.
    • (2005) Biophys. J. , vol.89 , pp. 676-689
    • Reinhart-King, C.A.1    Dembo, M.2    Hammer, D.A.3
  • 62
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissues
    • RODRIGUEZ, E. K., HOGER, A. & MCCULLOCH, A. D. (1994) Stress-dependent finite growth in soft elastic tissues. J. Biomech., 27, 455-467.
    • (1994) J. Biomech. , vol.27 , pp. 455-467
    • Rodriguez, E.K.1    Hoger, A.2    Mcculloch, A.D.3
  • 63
    • 34249980052 scopus 로고    scopus 로고
    • Mathematical models of avascular tumor growth
    • ROOSE, T., CHAPMAN, S. J. & MAINI, P. K. (2007) Mathematical models of avascular tumor growth. SIAM Rev., 49, 179-208.
    • (2007) SIAM Rev. , vol.49 , pp. 179-208
    • Roose, T.1    Chapman, S.J.2    Maini, P.K.3
  • 64
    • 0019052223 scopus 로고
    • Cell density determines epithelial migration in culture Proc
    • ROSEN, P. & MISFELDT, D. S. (1980) Cell density determines epithelial migration in culture Proc. Natl. Acad. Sci. USA, 77, 4760-4763.
    • (1980) Natl. Acad. Sci. USA , vol.77 , pp. 4760-4763
    • Rosen, P.1    Misfeldt, D.S.2
  • 65
    • 0038699078 scopus 로고    scopus 로고
    • Control of epidermal stem cell clusters by Notch-mediated lateral induction
    • SAVILL, N. J. & SHERRATT, J. A. (2003) Control of epidermal stem cell clusters by Notch-mediated lateral induction. Dev. Biol., 258, 141-153.
    • (2003) Dev. Biol. , vol.258 , pp. 141-153
    • Savill, N.J.1    Sherratt, J.A.2
  • 66
    • 0036439238 scopus 로고    scopus 로고
    • Molecular mechanisms of epithelial morphogenesis
    • SCHÖCK, F. & PERRIMON, N. (2002) Molecular mechanisms of epithelial morphogenesis. Annu. Rev. Cell Dev. Biol., 18, 463-93.
    • (2002) Annu. Rev. Cell Dev. Biol. , vol.18 , pp. 463-493
    • Schöck, F.1    Perrimon, N.2
  • 68
    • 0034455986 scopus 로고    scopus 로고
    • The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems
    • STEVENS, A. (2000) The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems. SIAM J. Appl. Math., 61, 183-212.
    • (2000) SIAM J. Appl. Math. , vol.61 , pp. 183-212
    • Stevens, A.1
  • 69
    • 0030824126 scopus 로고    scopus 로고
    • Time scale dependent viscoelastic and contractile regimes in fibroblasts probed by microplate manipulation
    • THOUMINE, O. & OTT, A. (1997) Time scale dependent viscoelastic and contractile regimes in fibroblasts probed by microplate manipulation. J. Cell. Sci., 110, 2109-2116.
    • (1997) J. Cell. Sci. , vol.110 , pp. 2109-2116
    • Thoumine, O.1    Ott, A.2
  • 70
    • 0003145458 scopus 로고
    • Certain non-steady flows of second-order fluids
    • TING, T. W. (1963) Certain non-steady flows of second-order fluids. Arch. Rat. Mech. Anal., 14, 1-26.
    • (1963) Arch. Rat. Mech. Anal. , vol.14 , pp. 1-26
    • Ting, T.W.1
  • 71
    • 0026799246 scopus 로고
    • Continuum model of fibroblast-driven wound contraction: inflammation-mediation
    • TRANQUILLO, R. T. & MURRAY, J. D. (1992) Continuum model of fibroblast-driven wound contraction: inflammation-mediation. J. Theor. Biol., 158, 135-172.
    • (1992) J. Theor. Biol. , vol.158 , pp. 135-172
    • Tranquillo, R.T.1    Murray, J.D.2
  • 73
    • 42749107559 scopus 로고    scopus 로고
    • From a discrete to a continuous model of biological cell movement
    • TURNER, S., SHERRATT, J. A., PAINTER, K. J. & SAVILL, N. J. (2004). From a discrete to a continuous model of biological cell movement. Phys. Rev. E, 69, 021910.
    • (2004) Phys. Rev. E , vol.69 , pp. 021910
    • Turner, S.1    Sherratt, J.A.2    Painter, K.J.3    Savill, N.J.4
  • 76
    • 0001249532 scopus 로고
    • Stress and strain in liquid and solid foams
    • WEAIRE, D. & FORTES, M. A. (1994) Stress and strain in liquid and solid foams. Adv. Phys., 43, 685-738.
    • (1994) Adv. Phys. , vol.43 , pp. 685-738
    • Weaire, D.1    Fortes, M.A.2
  • 77
    • 84928662673 scopus 로고
    • Soap, cells and statistics-random patterns in two dimensions
    • WEAIRE, D. & RIVIER, N. (1984) Soap, cells and statistics-random patterns in two dimensions. Contemp. Phys., 25, 59-99.
    • (1984) Contemp. Phys. , vol.25 , pp. 59-99
    • Weaire, D.1    Rivier, N.2
  • 78
    • 0025338402 scopus 로고
    • The mechanical basis of cell rearrangement. I. Epithelial morphogenesis during Fundulus epiboly
    • WELIKY, M. & OSTER, G. (1990) The mechanical basis of cell rearrangement. I. Epithelial morphogenesis during Fundulus epiboly. Development, 109, 373-386.
    • (1990) Development , vol.109 , pp. 373-386
    • Weliky, M.1    Oster, G.2
  • 79
    • 33846361348 scopus 로고
    • Interactions of "solitons" in a collisionless plasma and the recurrence of initial states
    • ZABUSKY, N. J. & KRUSKAL, M. D. (1965) Interactions of "solitons" in a collisionless plasma and the recurrence of initial states. Phys. Rev. Lett., 15, 240-243.
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabusky, N.J.1    Kruskal, M.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.