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Leukocyte deformability: finite element modeling of large viscoelastic deformation.
J Theor Biol. 1992 Sep 21; 158(2):173-93.JT

Abstract

An axisymmetric deformation of a viscoelastic sphere bounded by a prestressed elastic thin shell in response to external pressure is studied by a finite element method. The research is motivated by the need for understanding the passive behavior of human leukocytes (white blood cells) and interpreting extensive experimental data in terms of the mechanical properties. The cell at rest is modeled as a sphere consisting of a cortical prestressed shell with incompressible Maxwell fluid interior. A large-strain deformation theory is developed based on the proposed model. General non-linear, large strain constitutive relations for the cortical shell are derived by neglecting the bending stiffness. A representation of the constitutive equations in the form of an integral of strain history for the incompressible Maxwell interior is used in the formulation of numerical scheme. A finite element program is developed, in which a sliding boundary condition is imposed on all contact surfaces. The mathematical model developed is applied to evaluate experimental data of pipette tests and observations of blood flow.

Authors+Show Affiliations

Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla 92093.No affiliation info available

Pub Type(s)

Journal Article
Research Support, U.S. Gov't, P.H.S.

Language

eng

PubMed ID

1474842

Citation

Dong, C, and R Skalak. "Leukocyte Deformability: Finite Element Modeling of Large Viscoelastic Deformation." Journal of Theoretical Biology, vol. 158, no. 2, 1992, pp. 173-93.
Dong C, Skalak R. Leukocyte deformability: finite element modeling of large viscoelastic deformation. J Theor Biol. 1992;158(2):173-93.
Dong, C., & Skalak, R. (1992). Leukocyte deformability: finite element modeling of large viscoelastic deformation. Journal of Theoretical Biology, 158(2), 173-93.
Dong C, Skalak R. Leukocyte Deformability: Finite Element Modeling of Large Viscoelastic Deformation. J Theor Biol. 1992 Sep 21;158(2):173-93. PubMed PMID: 1474842.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Leukocyte deformability: finite element modeling of large viscoelastic deformation. AU - Dong,C, AU - Skalak,R, PY - 1992/9/21/pubmed PY - 1992/9/21/medline PY - 1992/9/21/entrez SP - 173 EP - 93 JF - Journal of theoretical biology JO - J. Theor. Biol. VL - 158 IS - 2 N2 - An axisymmetric deformation of a viscoelastic sphere bounded by a prestressed elastic thin shell in response to external pressure is studied by a finite element method. The research is motivated by the need for understanding the passive behavior of human leukocytes (white blood cells) and interpreting extensive experimental data in terms of the mechanical properties. The cell at rest is modeled as a sphere consisting of a cortical prestressed shell with incompressible Maxwell fluid interior. A large-strain deformation theory is developed based on the proposed model. General non-linear, large strain constitutive relations for the cortical shell are derived by neglecting the bending stiffness. A representation of the constitutive equations in the form of an integral of strain history for the incompressible Maxwell interior is used in the formulation of numerical scheme. A finite element program is developed, in which a sliding boundary condition is imposed on all contact surfaces. The mathematical model developed is applied to evaluate experimental data of pipette tests and observations of blood flow. SN - 0022-5193 UR - https://www.unboundmedicine.com/medline/citation/1474842/Leukocyte_deformability:_finite_element_modeling_of_large_viscoelastic_deformation_ L2 - https://linkinghub.elsevier.com/retrieve/pii/S0022-5193(05)80716-7 DB - PRIME DP - Unbound Medicine ER -