Dynamic mechanical properties of agarose gels modeled by a fractional derivative model
Dynamic mechanical properties of agarose gels modeled by a fractional derivative model
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DOI：
10.1115/1.1797991
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发表时间：
2004-10-01
影响因子：
1.7
通讯作者：
An, KN
中科院分区：
文献类型：
--
作者：
Chen, QS;Suki, B;An, KN
琼脂糖凝胶（2%至4%）的复模量（E*）和弹性模量（E '）用动态机械分析仪在0.1至20 Hz之间的频率扫描剪切夹层模式下测量。数据显示，E* 和E'根据幂律随频率增加，该幂律可由分数导数模型描述以表征凝胶的动态粘弹性。建立了模型参数储能模量系数H和幂律指数β与琼脂糖浓度之间的函数关系。分数导数模型的凝胶聚合物的应用分子基础进行了讨论。这样的方法可以是有用的组织培养研究采用动态加压或磁共振弹性成像的验证。
The complex modulus (E*) and elastic modulus (E') of agarose gels (2% to 4%) are measured with a dynamic mechanical analyzer infrequency sweep shear sandwich mode between 0.1 and 20 Hz. The data showed that E* and E' increase with frequency according to a power law which can be described by a fractional derivative model to characterize the dynamic viscoelasticity of the gel. The functions between the model parameters including storage modulus coefficient (H) and the power law exponent (beta) and the agarose concentration are established. A molecular basis for the application of the fractional derivative model to gel polymers is also discussed. Such an approach can be useful in tissue culture studies employing dynamic pressurization or for validation of magnetic resonance elastography.