Leukocyte deformability

Finite element modeling of large viscoelastic deformation

Cheng Dong, Richard Skalak

Research output: Contribution to journalArticle

60 Citations (Scopus)

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 nonlinear, 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.

Original languageEnglish (US)
JournalJournal of Theoretical Biology
Volume158
Issue number2
DOIs
StatePublished - Sep 21 1992

Fingerprint

Leukocytes
Large Strain
Finite Element Modeling
Formability
leukocytes
Shell
Interior
Experimental Data
Maxwell Fluid
Thin Shells
Deformation Theory
Cell
Constitutive Relations
Hematologic Tests
Blood
Blood Flow
Constitutive Equation
Incompressible Fluid
Numerical Scheme
Mechanical Properties

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

@article{3962b85c5c85454b8ccad678e025c9a3,
title = "Leukocyte deformability: Finite element modeling of large viscoelastic deformation",
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 nonlinear, 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.",
author = "Cheng Dong and Richard Skalak",
year = "1992",
month = "9",
day = "21",
doi = "10.1016/S0022-5193(05)80716-7",
language = "English (US)",
volume = "158",
journal = "Journal of Theoretical Biology",
issn = "0022-5193",
publisher = "Academic Press Inc.",
number = "2",

}

Leukocyte deformability : Finite element modeling of large viscoelastic deformation. / Dong, Cheng; Skalak, Richard.

In: Journal of Theoretical Biology, Vol. 158, No. 2, 21.09.1992.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Leukocyte deformability

T2 - Finite element modeling of large viscoelastic deformation

AU - Dong, Cheng

AU - Skalak, Richard

PY - 1992/9/21

Y1 - 1992/9/21

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 nonlinear, 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.

AB - 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 nonlinear, 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.

UR - http://www.scopus.com/inward/record.url?scp=0026785864&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026785864&partnerID=8YFLogxK

U2 - 10.1016/S0022-5193(05)80716-7

DO - 10.1016/S0022-5193(05)80716-7

M3 - Article

VL - 158

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

SN - 0022-5193

IS - 2

ER -