Erratum to "Immersed finite element method and its applications to biological systems" [Comput. Methods Appl. Mech. Engrg. 195 (2006) 1722-1749] (DOI:10.1016/j.cma.2005.05.049);Immersed finite element method and its applications to biological systems

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 13-16, 2006, Pages 1722-1749

  Liu, Wing Kam ^a   Liu, Yaling ^a   Farrell, David ^a   Zhang, Lucy ^b   Wang, X Sheldon ^c   Fukui, Yoshio ^a,d   Patankar, Neelesh ^a   Zhang, Yongjie ^e   Bajaj, Chandrajit ^e   Lee, Junghoon ^f   Hong, Juhee ^f   Chen, Xinyu ^a   Hsu, Huayi ^a  

^a Northwestern University   (United States)

^b Tulane University   (United States)

^c NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^d NORTHWESTERN UNIVERSITY   (United States)

^e University of Texas at Austin   (United States)

^f Seoul National University   (South Korea)

Author keywords

Aggregation; Cardiovascular system; Cell motility; Cytoskeletal dynamics; Fluid structure interaction; Immersed finite element method; Micro circulation; Nano electro mechanical sensors; Red blood cell; Reproducing Kernel particle method; Surgical corrective procedures; Thrombosis

Indexed keywords

BIOLOGY; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLUID STRUCTURE INTERACTION; INTERPOLATION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

IMMERSED FINITE ELEMENT METHOD (IFEM); LAGRANGIAN SOLID MESH; RED BLOOD CELL (RBC); REPRODUCING KERNEL PARTILCLE METHOD (RKPM);

FINITE ELEMENT METHOD;

BIOLOGY; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLUID STRUCTURE INTERACTION; INTERPOLATION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS;

EID: 30944434458     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.01.001     Document Type: Erratum

References (57)

1. T.E. Tezduyar Stabilized finite element formulations for incompressible-flow computations Adv. Appl. Mech. 28 1992 1-44
2. T.E. Tezduyar Finite element methods for flow problems with moving boundaries and interfaces Arch. Comput. Methods Engrg. 8 2 2001 83-130
3. A. Huerta W.K. Liu Viscous flow with large free surface motion Comput. Methods Appl. Mech. Engrg. 69 1988 277-324
4. T.J.R. Hughes W.K. Liu T.K. Zimmerman Lagrangian-Eulerian finite element formulations for incompressible viscous flows Comput. Methods Appl. Mech. Engrg. 29 1981 329-349
5. W.K. Liu Finite element procedures for fluid-structure interactions and application to liquid storage tanks Nucl. Engrg. Des. 65 1981 221-238
6. W.K. Liu J. Gvildys Fluid-structure interaction of tanks with an eccentric core barrel Comput. Methods Appl. Mech. Engrg. 58 1986 51-77
7. W.K. Liu D.C. Ma Computer implementation aspects for fluid-structure interaction problems Comput. Methods Appl. Mech. Engrg. 31 1982 129-148
8. G.J. Wagner S. Ghosal W.K. Liu Particulate flow simulations using lubrication theory solution enrichment Int. J. Numer. Methods Engrg. 56 9 2003 1261-1289
9. G.J. Wagner N. Moës W.K. Liu T.B. Belytschko The extended finite element method for rigid particles in stokes flow Int. J. Numer. Methods Engrg. 51 3 2001 293-313
10. H.H. Hu N.A. Patankar M.Y. Zhu Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique J. Comput. Phys. 169 2001 427-462
11. A. Johnson T.E. Tezduyar Advanced mesh generation and update methods for 3d flow simulations Comput. Mech. 23 1999 130-143
12. C.S. Peskin Numerical analysis of blood flow in the heart J. Comput. Phys. 25 1977 220-252
13. C.S. Peskin D.M. McQueen A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid J. Comput. Phys. 81 2 1989 372-405
14. C.S. Peskin D.M. McQueen Computational biofluid dynamics Contemp. Math. 141 1993 161-186
15. D.M. McQueen C.S. Peskin Shared-memory parallel vector implementation of the immersed boundary method for the computation of blood flow in the beating mammalian heart J. Supercomput. 11 1997 213-236
16. L. Zhang A. Gerstenberger X. Wang W.K. Liu Immersed finite element method Comput. Methods Appl. Mech. Engrg. 193 21-22 2004 2051-2067
17. X. Wang W.K. Liu Extended immersed boundary method using FEM and RKPM Comput. Methods Appl. Mech. Engrg. 193 12-14 2004 1305-1321
18. T.J.R. Hughes L.P. Franca M. Balestra A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations Comput. Methods Appl. Mech. Engrg. 59 1986 85-99
19. C.S. Peskin The immersed boundary method Acta Numer. 11 2002 479-517
20. X. Wang On the discretized delta function and force calculation in the immersed boundary method K.J. Bathe Computational Fluid and Solid Mechanics 2003 Elsevier 2164-2169
21. W.K. Liu S. Jun Y.F. Zhang Reproducing Kernel particle methods Int. J. Numer. Methods Fluids 20 1995 1081-1106
22. W.K. Liu Y. Chen R.A. Uras C.T. Chang Generalized multiple scale reproducing Kernel particle methods Comput. Methods Appl. Mech. Engrg. 139 1996 91-158
23. S. Li W.K. Liu Meshfree and particle methods and their applications Appl. Mech. Rev. 55 2002 1-34
24. S. Li W.K. Liu Meshfree Particle Methods 2004 Springer-Valerg
25. Y. Saad M.H. Schultz GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems SIAM J. Sci. Stat. Comput. 7 3 1986 856-869
26. L. Zhang G.J. Wagner W.K. Liu A parallelized meshfree method with boundary enrichment for large-scale CFD J. Comput. Phys. 176 2002 483-506
27. T.B. Jones Electromechanics of Particles 1995 Cambridge University Press New York
28. Y. Solomentsev M. Bohmer J.L. Anderson Particle clustering and pattern formation during electrophoretic deposition: A hydrodynamic model Langmuir 13 1997 6058-6068
29. N. Sharma N. Patankar Direct numerical simulation of the Brownian motion of particles by using fluctuating hydrodynamic equations J. Comput. Phys. 201 2 2004 466-486
30. Y.C. Fung Biomechanics: Circulation 1996 Springer-Verlag
31. W.K. Liu, X. Chen, X. Wang, Y. Zhang, C. Bajaj, T. Hughes, A study of a three-dimensional heart model using immersed continuum method, ICES Technical Report, 2004.
32. M. Gay, L. Zhang, W.K. Liu, Stent deployment using immersed finite element method, Comput. Methods Appl. Mech. Engrg., 2005, accepted for publication.
33. Y. Liu L. Zhang X. Wang W.K. Liu Coupling of Navier-Stokes equations with protein molecular dynamics and its application to hemodynamics Int. J. Numer. Methods Fluids 46 1237-1252 2004
34. A. Fogelson A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting J. Comput. Phys. 56 1985 111-134
35. N.T. Wang A. Fogelson Computational methods for continuum models of platelet aggregation J. Comput. Phys. 151 1999 649-675
36. C.A. Taylor T.J.R. Hughes C.K. Zarins Finite element modeling of blood flow in arteries Comput. Methods Appl. Mech. Engrg. 158 1998 155-196
37. S.L. Diamond Reaction complexity of flowing human blood Biophys. J. 80 2001 1031-1032
38. B. Neu H.J. Meiselman Depletion-mediated red blood cell aggregation in polymer solutions Biophys. J. 83 November 2002 2482-2490
39. S. Yumura Y. Fukui Spatiotemporal dynamics of actin concentration during cytokinesis and locomotion in dictyostelium J. Cell Sci. 111 1998 2097-2108
40. Y. Fukui E.L. de Hostos S. Yumura T.K. Yumura S. Inoue Architectural dynamics of eupodia suggest their role for invasive locomotion in dictyostelium Exp. Cell Res. 249 1999 33-45
41. Y. Liu, H. Hsu, N. Patankar, W.K. Liu, Three dimensional simulation of cell migration, in preparation.
42. A. Mogilner G. Oster Cell motility driven by actin polymerization Biophys. J. 71 6 1996 3030-3045
43. T.J. Mitchison L.P. Cramer Actin-based cell motility and cell locomotion Cell 84 3 1996 371-379
44. M.P. Sheetz D. Felsenfeld C.G. Galbraith D. Choquet Cell migration as a five-step cycle Cell Behav.: Control Mechanism Motility 65 1999 233-243
45. M.E. Gracheva H.G. Othmer A continuum model of motility in ameboid cells Bull. Math. Biol. 66 1 2004 167-193
46. T.P. Stossel On the crawling of animal cells Science 260 5111 1993 1086-1094
47. Y. Fukui Toward a new concept of cell motility: Cytoskeletal dynamics in amoeboid movement and cell division Int. Rev. Cytol. 144 85-127 1993
48. K.C. Chang D.F.J. Tees D.A. Hammer The state diagram for cell adhesion under flow: Leukocyte rolling and firm adhesion Proc. Natl. Acad. Sci. USA 97 21 2000 11262-11267
49. M. Dembo D.C. Torney K. Saxman D. Hammer The reaction limited kinetics of membrane to surface adhesion and detachment Proc. R. Soc. London 234 1988 55-83
50. C. Dong J. Cao E.J. Struble H.W. Lipowsky Mechanics of leukocyte deformation and adhesion to endothelium in shear flow Ann. Biomed. Engrg. 27 3 1999 298-312
51. A. Ishijima T. Doi K. Sakurada T. Yanagida Sub-piconewton force fluctuations of actomyosin in vitro Nature 352 301-306 1991
52. S.K. Sastry K. Burridge Focal adhesions: A nexus for intracellular signaling and cytoskeletal dynamics Exp. Cell Res. 261 2000 25-36
53. W.K. Liu E.G. Karpov S. Zhang H.S. Park An introduction to computational nanomechanics and materials Comput. Methods Appl. Mech. Engrg. 193 17-20 2004 1529-1578
54. J.Y. Chung K.H. Lee J.H. Lee R.S. Ruoff Toward large-scale integration of carbon nanotubes Langmuir 20 8 2004 3011-3017
55. J. Chung, J. Lee, R.S. Ruoff, W.K. Liu, Nanoscale gap fabrication and integration of carbon nanotubes by micromachining. Solid-State Sensor, Actuator, and Microsystems Workshop, Hilton Head, SC, June 2-6, 2002.
56. J. Chung, J. Lee, R.S. Ruoff, W.K. Liu, Integration of single multi-walled carbon nanotube on microsystems, ASME Conference, IMECE2002-33325, New Orleans, Louisiana, November 17-22, 2002.
57. Y. Liu, J. Chung, W.K. Liu, R.S. Ruoff, 3-Dimensional simulation and experiments on dielectrophoretic assembly of nanowires, 2005, in preparation.