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

Fractional derivative models;Viscoelasticity

Coussot, Cecile ; Insana ; Michael F.

关键词: Fractional derivative models;    Viscoelasticity;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/5160/Thesis040908.pdf?sequence=2&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

The Viscoelastic response of hydropolymers, which include gelatin phantom and glandular breasttissue, may be accurately characterized with as few as three parameters using the Kelvin-Voigt FractionalDerivative (KVFD) modeling approach. We propose to image these parameters for simulatedand experimental imaging phantoms and to estimate them for normal and cancerous in-vivo breasttissues. 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 theKVFD parameters can separate the biphasic mechanical properties of hydropolymers that describethe response of its solid and fluidic components and present the effects of pH and concentrationchanges in gelatin phantoms. We then interpret average results observed in normal and cancerousbreast tissues and show that this modeling approach may be applied to tumor differentiation.