NURBS-based numerical proxies for red blood cells and circulating tumor cells in microscale blood flow

被引：25

作者：

Casquero, Hugo ^{[1
]}

Bona-Casas, Caries ^{[2
]}

Gomez, Hector ^{[1
]}

机构：

[1] Univ A Coruna, Dept Metodos Matemat, Campus A Coruna, La Coruna 15071, Spain

[2] Univ Illes Balears, Dept Fis, Palma De Mallorca 07122, Spain

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2017年 / 316卷

基金：

欧洲研究理事会;

关键词：

Isogeometric analysis; Immersed fluid structure interaction; Hyperelastic compound capsules; Tank-treading motion; Tumbling motion; Fahmus-Lindqvist effect; NAVIER-STOKES EQUATIONS; FINITE-ELEMENTS; T-SPLINES; FLUID; DEFORMATION; DYNAMICS; SIMULATION; VISCOSITY; VESICLES; ERYTHROCYTES;

D O I：

10.1016/j.cma.2016.09.031

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We explore the use of NURBS-based immersed fluid structure interaction algorithms to model the dynamics and rheology of red blood cells (RBCs) and nucleated cells. Prime examples of cells with nucleus that are relevant to this study are white blood cells (WBCs) and circulating tumor cells (CTCs). In this work, RBCs are modeled as thin solid membranes called capsules. To model cells with nucleus we introduce the concept of compound capsule which explicitly takes into account the nucleus as a bulky deformable solid. Our results indicate that to reproduce the behavior of RBCs in shear and parabolic flows, it is crucial to accurately solve the mass conservation equation near the fluid solid interface. We show results of hyperelastic capsules and compound capsules in two- and three-dimensional settings. Finally, taking advantage of the geometric flexibility of our method, we simulate how a CTC passes through a narrowing. This is a feature of CTCs that has recently triggered excitement in the experimental community. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：646 / 667

页数：22

共 79 条

[11] Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows [J].

Bazilevs, Y. ;

Calo, V. M. ;

Cottrell, J. A. ;

Hughes, T. J. R. ;

Reali, A. ;

Scovazzi, G. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 197 (1-4) :173-201

[12] Isogeometric analysis of hyperelastic materials using PetIGA [J].

Bernal, L. M. ;

Calo, V. M. ;

Collier, N. ;

Espinosa, G. A. ;

Fuentes, F. ;

Mahecha, J. C. .

2013 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, 2013, 18 :1604-1613

[13]

BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129

[14] Composing Scalable Nonlinear Algebraic Solvers [J].

Brune, Peter R. ;

Knepley, Matthew G. ;

Smith, Barry F. ;

Tu, Xuemin .

SIAM REVIEW, 2015, 57 (04) :535-565

[15] Lift force and dynamical unbinding of adhering vesicles under shear flow [J].

Cantat, I ;

Misbah, C .

PHYSICAL REVIEW LETTERS, 1999, 83 (04) :880-883

[16]

Casquero H., 2016, COMPUT AIDED DES

[17] A hybrid variational-collocation immersed method for fluid-structure interaction using unstructured T-splines [J].

Casquero, Hugo ;

Liu, Lei ;

Bona-Casas, Carles ;

Zhang, Yongjie ;

Gomez, Hector .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2016, 105 (11) :855-880

[18] Isogeometric collocation using analysis-suitable T-splines of arbitrary degree [J].

Casquero, Hugo ;

Liu, Lei ;

Zhang, Yongjie ;

Reali, Alessandro ;

Gomez, Hector .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2016, 301 :164-186

[19] A NURBS-based immersed methodology for fluid-structure interaction [J].

Casquero, Hugo ;

Bona-Casas, Carles ;

Gomez, Hector .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 284 :943-970

[20]

Chien S., 1984, HDB PHYSL, VIV, P217

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