Modified Kelvin-Voigt fractional derivative model for viscoelasticity measurement in optical coherence elastography  

作　　者：Chenming Yang Zhongliang Li Nan Nan Teng Liu Yaoli Luo Xiangzhao Wang 杨晨铭;李中梁;南楠;刘腾;罗耀丽;王向朝

机构地区：[1]Advanced Light Source and System R&D Center,Department of Advanced Optical and Microelectronic Equipment,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,China [2]Center of Materials Science and Optoelectronics Engineering,University of Chinese Academy of Sciences,Beijing 100049,China [3]School of Optical-Electrical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China [4]State Key Laboratory of Extreme Photonics and Instrumentation,College of Optical Science and Engineering,Zhejiang University,Hangzhou 310027,China

出　　处：《Chinese Optics Letters》2025年第1期93-101,共9页中国光学快报(英文版)

基　　金：supported by the National Natural Science Foundation of China(No.81927801);the Youth Innovation Promotion Association of the Chinese Academy of Sciences。

摘　　要：Optical coherence elastography(OCE)can quantitatively obtain the viscoelasticity of tissues using rheological models and is widely applied to the clinical diagnosis of diseases.However,commonly used rheological models in OCE do not account for the distinctive dependence of high-frequency storage and loss moduli on frequency in tissues,which results in the rheological models failing to accurately measure the viscoelastic properties of tissues.In this paper,a modified Kelvin-Voigt fractional derivative model is presented based on the power-law behavior of soft tissues and the dependence of high-frequency complex shear modulus on frequency in living cells.In the rheometer and OCE tests,the modified model can provide the prediction of the power-law relationship between the low-frequency shear viscosity and frequency;compared with the Kelvin-Voigt and Kelvin-Voigt fractional derivative models,the modified model has a higher goodness-of-fit(accuracy>96%)for the high-frequency storage moduli of gelatin phantoms.Furthermore,the proposed model can reduce the root mean square error of fit by approximately 83%for the high-frequency(1–128 kHz)storage modulus of the polydimethylsiloxane phantoms obtained from publicly available data.Overall,the modified model accurately predicts the mechanical properties of biomimetic materials over a wide frequency range,with the potential to more accurately reflect pathological changes in tissues.

关 键 词：optical coherence tomography optical coherence elastography VISCOELASTICITY rheological model 

分 类 号：O436[机械工程—光学工程]