INDIGO Home University of Illinois at Urbana-Champaign logo uic building uic pavilion uic student center

A Stochastic Simulation Method Using Constraints for the Modeling of Blood Rheology

Show full item record

Bookmark or cite this item: http://hdl.handle.net/10027/19835

Files in this item

File Description Format
PDF Kim_KyungHyo.pdf (2MB) (no description provided) PDF
Title: A Stochastic Simulation Method Using Constraints for the Modeling of Blood Rheology
Author(s): Kim, Kyung Hyo
Advisor(s): Wedgewood, Lewis E.
Contributor(s): Nitsche, Ludwig C.; Akpa, Belinda S.; Liu, Ying; Berbaum, Michael L.
Department / Program: Chemical Engineering
Graduate Major: Chemical Engineering
Degree Granting Institution: University of Illinois at Chicago
Degree: PhD, Doctor of Philosophy
Genre: Doctoral
Subject(s): Rheology Fluid dynamics Brownian Dynamics Material Property Biological Fluid Hemodynamics Computational Method
Abstract: In this dissertation, I present Brownian Dynamic simulation technique with constraint method to predict the movement of biological cells specifically focused on rheology of blood. Blood is often treated as continuum fluid or an empirical constitutive equation is used to study a blood flow. However, it would be impossible to observe neither the deformation nor the elasticity of the cell. The proposed method based on kinetic theory where the stress tensor and the stochastic differential equation (SDE) of motion depend on the configuration of the microstructure of the fluid will allow observing the movement as well as the material properties. In addition, the constraint method using Lagrange multiplier describes the effect of the biological cell conserving its overall size throughout the motion of flow while allowing the shape to deform. In this study, blood is considered as suspension of deformable red blood cells (RBCs) in a dilute solution of fluid. A discrete model of bead-spring RBC is constructed with linear Hookean spring to give flexibility to deform. To demonstrate the capability of the method, the minimalist bead-spring model to represent the RBC was simulated. Contraints used in this research are geometrical holonomic constraints. The RBC models are tested under shear and shear free flow. An assumption was made that the friction tensor is isotropic. The rheological material properties are obtained through simulations. A comparison is then made between predicted viscosity and experimental observations followed by discussion of the effects of constraint on each RBC models that are developed.
Issue Date: 2015-10-21
Genre: thesis
URI: http://hdl.handle.net/10027/19835
Date Available in INDIGO: 2017-10-22
Date Deposited: 2015-08
 

This item appears in the following Collection(s)

Show full item record

Statistics

Country Code Views
United States of America 215
China 63
Russian Federation 30
Ukraine 7
Germany 6

Browse

My Account

Information

Access Key