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A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes.
Biomech Model Mechanobiol 2011; 10(4):445-59BM

Abstract

A novel finite element approach is presented to simulate the mechanical behavior of human red blood cells (RBC, erythrocytes). As the RBC membrane comprises a phospholipid bilayer with an intervening protein network, we propose to model the membrane with two distinct layers. The fairly complex characteristics of the very thin lipid bilayer are represented by special incompressible solid shell elements and an anisotropic viscoelastic constitutive model. Properties of the protein network are modeled with an isotropic hyperelastic third-order material. The elastic behavior of the model is validated with existing optical tweezers studies with quasi-static deformations. Employing material parameters consistent with literature, simulation results are in excellent agreement with experimental data. Available models in literature neglect either the surface area conservation of the RBC membrane or realistic loading conditions of the optical tweezers experiments. The importance of these modeling assumptions, that are both included in this study, are discussed and their influence quantified. For the simulation of the dynamic motion of RBC, the model is extended to incorporate the cytoplasm. This is realized with a monolithic fully coupled fluid-structure interaction simulation, where the fluid is described by the incompressible Navier-Stokes equations in an arbitrary Lagrangian Eulerian framework. It is shown that both membrane viscosity and cytoplasm viscosity have significant influence on simulation results. Characteristic recovery times and energy dissipation for varying strain rates in dynamic laser trap experiments are calculated for the first time and are found to be comparable with experimental data.

Authors+Show Affiliations

Institute for Computational Mechanics, Technische Universität München, Boltzmannstrasse 15, Garching, Germany.No affiliation info available

Pub Type(s)

Journal Article

Language

eng

PubMed ID

20725846

Citation

Klöppel, Thomas, and Wolfgang A. Wall. "A Novel Two-layer, Coupled Finite Element Approach for Modeling the Nonlinear Elastic and Viscoelastic Behavior of Human Erythrocytes." Biomechanics and Modeling in Mechanobiology, vol. 10, no. 4, 2011, pp. 445-59.
Klöppel T, Wall WA. A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes. Biomech Model Mechanobiol. 2011;10(4):445-59.
Klöppel, T., & Wall, W. A. (2011). A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes. Biomechanics and Modeling in Mechanobiology, 10(4), pp. 445-59. doi:10.1007/s10237-010-0246-2.
Klöppel T, Wall WA. A Novel Two-layer, Coupled Finite Element Approach for Modeling the Nonlinear Elastic and Viscoelastic Behavior of Human Erythrocytes. Biomech Model Mechanobiol. 2011;10(4):445-59. PubMed PMID: 20725846.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes. AU - Klöppel,Thomas, AU - Wall,Wolfgang A, Y1 - 2010/08/20/ PY - 2010/01/18/received PY - 2010/07/23/accepted PY - 2010/8/21/entrez PY - 2010/8/21/pubmed PY - 2011/10/18/medline SP - 445 EP - 59 JF - Biomechanics and modeling in mechanobiology JO - Biomech Model Mechanobiol VL - 10 IS - 4 N2 - A novel finite element approach is presented to simulate the mechanical behavior of human red blood cells (RBC, erythrocytes). As the RBC membrane comprises a phospholipid bilayer with an intervening protein network, we propose to model the membrane with two distinct layers. The fairly complex characteristics of the very thin lipid bilayer are represented by special incompressible solid shell elements and an anisotropic viscoelastic constitutive model. Properties of the protein network are modeled with an isotropic hyperelastic third-order material. The elastic behavior of the model is validated with existing optical tweezers studies with quasi-static deformations. Employing material parameters consistent with literature, simulation results are in excellent agreement with experimental data. Available models in literature neglect either the surface area conservation of the RBC membrane or realistic loading conditions of the optical tweezers experiments. The importance of these modeling assumptions, that are both included in this study, are discussed and their influence quantified. For the simulation of the dynamic motion of RBC, the model is extended to incorporate the cytoplasm. This is realized with a monolithic fully coupled fluid-structure interaction simulation, where the fluid is described by the incompressible Navier-Stokes equations in an arbitrary Lagrangian Eulerian framework. It is shown that both membrane viscosity and cytoplasm viscosity have significant influence on simulation results. Characteristic recovery times and energy dissipation for varying strain rates in dynamic laser trap experiments are calculated for the first time and are found to be comparable with experimental data. SN - 1617-7940 UR - https://www.unboundmedicine.com/medline/citation/20725846/A_novel_two_layer_coupled_finite_element_approach_for_modeling_the_nonlinear_elastic_and_viscoelastic_behavior_of_human_erythrocytes_ L2 - https://dx.doi.org/10.1007/s10237-010-0246-2 DB - PRIME DP - Unbound Medicine ER -