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A validation of the quadriphasic mixture theory for intervertebral disc tissue

机译:椎间盘组织四相混合理论的验证

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The swelling and shrinking behaviour of soft biological tissues is described by a quadriphasic mixture model. In this model four phases are distinguished: a charged solid, a fluid, cations and anions. A description of the set of coupled differential equations of this quadriphasic mixture model is given. These equations are solved by the finite element method using a weighted residual approach. The resulting non-linear integral equations are linearized and solved by the Newton-Raphson iteration procedure. We performed some confined swelling and compression experiments on intervertebral disc tissue. These experiments are simulated by a one-dimensional finite element implementation of this quadriphasic mixture model. In contrast to a triphasic mixture model, physically realistic diffusion coefficients can be used to fit the experiments when the fixed charge density is relatively large, because in the quadriphasic mixture model electrical phenomena are not neglected.
机译:柔软的生物组织的膨胀和收缩行为由四相混合物模型描述。在该模型中,区分了四个阶段:带电的固体,流体,阳离子和阴离子。给出了该四相混合模型的耦合微分方程组的描述。这些方程通过使用加权残差法的有限元法求解。所得的非线性积分方程被牛顿-拉夫森迭代程序线性化并求解。我们对椎间盘组织进行了一些有限的肿胀和压缩实验。这些实验是通过此四相混合模型的一维有限元实现来模拟的。与三相混合模型相反,当固定电荷密度相对较大时,可以使用物理逼真的扩散系数来拟合实验,因为在四相混合模型中不会忽略电现象。

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