Fractional derivative models and their use in the characterization of hydropolymer and in-vivo breast tissue viscoelasticity

The Viscoelastic response of hydropolymers, which include gelatin phantom and glandular breast tissue, may be accurately characterized with as few as three parameters using the Kelvin-Voigt Fractional Derivative (KVFD) modeling approach. We propose to image these parameters for simulated and experimental imaging phantoms and to estimate them for normal and cancerous in-vivo breast tissues. After a detailed presentation of the processing algorithm and discussion of its performances, we analyze the KVFD parameter values in simulated and experimental hydrogels. We show that the KVFD parameters can separate the biphasic mechanical properties of hydropolymers that describe the response of its solid and fluidic components and present the effects of pH and concentration changes in gelatin phantoms. We then interpret average results observed in normal and cancerous breast tissues and show that this modeling approach may be applied to tumor differentiation.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Bioengineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2008

Author dc:creator

• Coussot, Cecile

Contributors dc:contributor

• Insana, Michael F.

• Fractional derivative models
• Viscoelasticity

Statement dc:rights

• Copyright 2008 Cecile Coussot. Portions reprinted, with permission, from C Coussot, S Kalyanam, R D Yapp and M F Insana, Fractional derivative models for ultrasonic characterization of polymer and breast tissue viscoelasticity, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, in press, 2008.

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/5160

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/5160