Doctoral Dissertations

Keywords and Phrases

CDFC; Cytoskeleton; Entangled Polymer; Entanglement Dynamics; Monodisperse; Polydisperse


"The study of entangled polymer rheology both in the field of medicine and polymer processing has their major importance. Mechanical properties of biomolecules are studied in order to better understand cellular behavior. Similarly, industrial processing of polymers needs thorough understanding of rheology so as to improve process techniques. Work in this dissertation has been organized into three major sections. Firstly, numerical/analytical models are reviewed for describing rheological properties and mechanical behaviors of cytoskeleton. The cytoskeleton models are classified into categories according to the length scales of the phenomena of interest. The main principles and characteristics of each model are summarized and discussed by comparison with each other, thus providing a systematic understanding of biopolymer network modeling. Secondly, a new constitutive "toy" Mead-Banerjee-Park (MBP) model is developed for monodisperse entangled polymer systems, by introducing the idea of a configuration dependent friction coefficient (CDFC) and entanglement dynamics (ED) into the MLD "toy" model. The model is tested against experimental data in steady and transient extensional and shear flows. The model simultaneously captures the monotonic thinning of the extensional flow curve of polystyrene (PS) melts and the extension hardening found in PS solutions. Thirdly, the monodisperse MBP model is accordingly modified into polydisperse MBP "toy" constitutive model to predict the nonlinear viscoelastic material properties of model polydisperse systems. The polydisperse MBP toy model accurately predicts the material properties in the forward direction for transient uniaxial extension and transient shear flow"--Abstract, page iv.


Park, Joontaek

Committee Member(s)

Neogi, P. (Partho), 1951-
Wang, Jee C.
Barua, Dipak
Samaranayake, V. A.


Chemical and Biochemical Engineering

Degree Name

Ph. D. in Chemical Engineering


Missouri University of Science and Technology. Energy Research and Development Center
Missouri University of Science and Technology. Materials Research Center


Missouri University of Science and Technology

Publication Date

Spring 2016

Journal article titles appearing in thesis/dissertation

  • Modeling and simulation of biopolymer networks: Classification of the cytoskeleton models according to multiple scales
  • A constitutive model for entangled polymers incorporating binary entanglement pair dynamics and a configuration dependent friction coefficient
  • Constitutive model for polydisperse entangled polymers incorporating binary entanglement pair dynamics and a configuration dependent friction coefficient


xix, 219 pages

Note about bibliography

Includes bibliographic references.


© 2016 Nilanjana Banerjee, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Polymers -- Rheology
Polymers -- Viscosity
High performance processors

Thesis Number

T 10904

Electronic OCLC #