Characterization of stress–strain behaviour of red blood cells (RBCs), part I: methodology development and application to healthy RBCs

References

• Dao M, Li J, Suresh S. Molecularly based analysis of deformation of spectrin network and human erythrocyte. Mat. Sci. Eng. C-Biomimetic Supramolecular Syst. 2006;26:1232–1244.
   Web of Science ®Google Scholar
• Suresh S. Mechanical response of human red blood cells in health and disease: some structure-property-function relationships. J. Mater. Res. 2006;21:1871–1877.10.1557/jmr.2006.0260
   Web of Science ®Google Scholar
• Shelby JP, White J, Ganesan K, Rathod PK, Chiu DT. A microfluidic model for single-cell capillary obstruction by Plasmodium falciparum infected erythrocytes. Proc. Nat. Acad. Sci. USA. 2003;100:14618–14622.10.1073/pnas.2433968100
   PubMed Web of Science ®Google Scholar
• Dao M, Lim CT, Suresh S. Mechanics of the human red blood cell deformed by optical tweezers. J. Mech. Phys. Solids. 2003;51:2259–2280.10.1016/j.jmps.2003.09.019
   Web of Science ®Google Scholar
• Mills JP, Dao M, Lim CT, Suresh S. Connections between membrane structure and single-cell mechanical response of erythrocytes infected with malaria. Biophys. J. 2005;88:265a–265a.
   Web of Science ®Google Scholar
• Hashash YMA, Marulanda C, Ghaboussi J, Jung S. Novel approach to integration of numerical modeling and field observations for deep excavations. J. Geotech. Geoenviron. Eng. 2006;132:1019–1031.10.1061/(ASCE)1090-0241(2006)132:8(1019)
   Web of Science ®Google Scholar
• Ghaboussi J, Pecknold DA, Zhang MF, Haj-Ali RM. Autoprogressive training of neural network constitutive models. Int. J. Numer. Methods Eng. 1998;42:105–126.10.1002/(ISSN)1097-0207
   Web of Science ®Google Scholar
• Kellermayer MSZ, Smith SB, Bustamante C, Granzier HL. Elastic behavior of cardiac titin characterized by manipulating single molecules with laser tweezers. Biophys. J. 1998;74:A334–A334.
   Web of Science ®Google Scholar
• Mills JP, Qie L, Dao M, Lim CT, Suresh S. Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers. Mech. Chem. Biosyst. 2004;1:169–180.
   PubMedGoogle Scholar
• Mills JP, Qie L, Dao M, Tan KSW, Lim CT, Suresh S. Continuous force-displacement relationships for the human red blood cell at different erythrocytic developmental stages of Plasmodium falciparum malaria parasite. Mater. Res. Soc. Symp. Proc. 2005;844:Y.7.8.1~Y.7.8.6.
   Google Scholar
• Lim CT, Dao M, Suresh S, Sow CH, Chew KT. Large deformation of living cells using laser traps. Acta Mater. 2004;52:4065–4066.10.1016/j.actamat.2004.05.016
   Web of Science ®Google Scholar
• Evans E, Fung YC. Improved measurements of erythrocyte geometry. Microvasc. Res. 1972;4:335–347.10.1016/0026-2862(72)90069-6
   PubMed Web of Science ®Google Scholar
• Evans EA. New membrane concept applied to analysis of fluid shear-deformed and micropipette-deformed red blood-cells. Biophys. J. 1973;13:941–954.10.1016/S0006-3495(73)86036-9
   PubMed Web of Science ®Google Scholar
• ABAQUS. ABAQUS/Standard, A General Purpose Finite Element Code. 6.2 ed. Pawtucket, RI: ABAQUS, Inc., formerly Hibbitt, Karlsson & Sorensen, Inc.; 2005.
   Google Scholar
• Gavrus A, Massoni E, Chenot JL. An inverse analysis using a finite element model for identification of rheological parameters. J. Mater. Process. Technol. 1996;60:447–454.10.1016/0924-0136(96)02369-2
   Web of Science ®Google Scholar
• Gelin JC, Ghouati O. An inverse method for determining viscoplastic properties of aluminum-alloys. J. Mater. Process. Technol. 1994;45:435–440.10.1016/0924-0136(94)90378-6
   Web of Science ®Google Scholar
• Mahnken R, Stein E. The identification of parameters for visco-plastic models via finite-element methods and gradient methods. Modell. Simul. Mater. Sci. Eng. 1994;2:597–616.10.1088/0965-0393/2/3A/013
   Web of Science ®Google Scholar
• Sidarta DE, Ghaboussi J. Constitutive modeling of geomaterials from non-uniform material tests. Int. J. Comput. Geotech. 1998;22:53–71.10.1016/S0266-352X(97)00035-9
   Web of Science ®Google Scholar
• Hashash YMA, Jung S, Ghaboussi J. Numerical implementation of a neural network based material model in finite element analysis. Int. J. Numer. Methods Eng. 2004;59:989–1005.10.1002/(ISSN)1097-0207
   Web of Science ®Google Scholar
• Tsai C-C. Seismic site response and interpretation of dynamic soil behavior from downhole array measurements [PhD dissertation]. University of Illinois at Urbana-Champaign; 2007.
   Google Scholar
• Hashash YMA, Song H, Jung S, Ghaboussi J. Extracting inelastic metal behavior through inverse analysis: a shift in focus from material models to material behavior. Inverse Prob. Sci. Eng. 2009;17:35–50.10.1080/17415970802082831
   Web of Science ®Google Scholar
• Shin HS, Pande GN. On self-learning finite element codes based on monitored response of structures. Comput. Geotech. 2000;27:161–178.10.1016/S0266-352X(00)00016-1
   Web of Science ®Google Scholar