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222 J. Hao et al.
References
[ASS80] J. Adams, P. Swarztrauber, and R. Sweet. FISHPAK: A package of
Fortran subprograms for the solution of separable elliptic partial differential
equations. The National Center for Atmospheric Research,
Boulder, CO, 1980.
[BGP87] M. O. Bristeau, R. Glowinski, and J. Periaux. Numerical methods for
the Navier–Stokes equations. Applications to the simulation of compressible
and incompressible viscous flow. Comput. Phys. Reports,
6:73–187, 1987.
[CH96] K. Chang and D. Hammer. Influence of direction and type of applied
force on the detachment of macromolecularly-bound particles from surfaces.
Langmuir, 12:2271–2282, 1996.
[CHMM78] A. J. Chorin, T. J. R. Hughes, J. E. Marsden, and M. McCracken.
Product formulas and numerical algorithms. Comm. Pure Appl. Math.,
31:205–256, 1978.
[CKGA03] M. Cohen, E. Klein, B. Geiger, and L. Addadi. Organization and
adhesive properties of the hyaluronan pericellular coat of chondrocytes
and epithelial cells. Biophys. J., 85:1996–2005, 2003.
[DG97] E. J. Dean and R. Glowinski. A wave equation approach to the numerical
solution of the Navier–Stokes equations for incompressible viscous
flow. C. R. Acad. Sci. Paris Sér. I Math., 325(7):783–791, 1997.
[GHR04] U. R. Goessler, K. Hörmann, and F. Riedel. Tissue engineering with
chondrocytes and function of the extracellular matrix (review). Int. J.
Mol. Med., 13:505–513, 2004.
[GPH + 01] R. Glowinski, T.-W. Pan, T. I. Hesla, D. D. Joseph, and J. Périaux.
A fictitious domain approach to the direct numerical simulation of incompressible
viscous flow past moving rigid bodies: Application to particulate
flow. J. Comput. Phys., 169(2):363–426, 2001.
[GPHJ99] R. Glowinski, T.-W. Pan, T. Hesla, and D. D. Joseph. A distributed
Lagrange multiplier/fictitious domain method for particulate flows. Int.
J. Multiph. Flow, 25(5):755–794, 1999.
[GPP98] R. Glowinski, T.-W. Pan, and J. Périaux. Distributed Lagrange multiplier
methods for incompressible flow around moving rigid bodies.
Comput. Methods Appl. Mech. Engrg., 151(1–2):181–194, 1998.
[JGP02] L. H. Juarez, R. Glowinski, and T.-W. Pan. Numerical simulation of
the sedimentation of rigid bodies in an incompressible viscous fluid
by Lagrange multiplier/fictitious domain methods combined with the
Taylor–Hood finite element approximation. J. Sci. Comput., 17:683–
694, 2002.
[KH01] M. R. King and D. A. Hammer. Multiparticle adhesive dynamics.
interactions between stably rolling cells. Biophys. J., 81:799–813, 2001.
[KS06] C. Korn and U. S. Schwarz. Efficiency of initiating cell adhesion in
hydrodynamic flow. Phys. Rev. Lett., 97, 2006. 138103.
[Loe93] R. F. Loeser. Integrin-mediated attachment of articular chondrocytes
to extracellular matrix proteins. Arthritis Rheum., 36:1103–1110, 1993.
[PG02] T.-W. Pan and R. Glowinski. Direct simulation of the motion of neutrally
buoyant circular cylinders in plane Poiseuille flow. J. Comput.
Phys., 181:260–279, 2002.