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

Coussot, Cecile

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https://hdl.handle.net/2142/5160 Copy

Description

Title

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

Author(s)

Coussot, Cecile

Issue Date

2008-04-20

Director of Research (if dissertation) or Advisor (if thesis)

Insana, Michael F.

Department of Study

Bioengineering

Discipline

Bioengineering

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

M.S.

Degree Level

Thesis

Keyword(s)

• Fractional derivative models
• Viscoelasticity

Language

en

Abstract

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.

Sponsor(s)/Grant Number(s)

R01CA082497

Type of Resource

text

Permalink

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

Copyright and License Information

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.

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