Kuo C D, Bai J J, Chien S
Respiratory Therapy Department, Veterans General Hospital-Taipei, Taiwan, ROC.
Biorheology. 1994 Jan-Feb;31(1):77-89. doi: 10.3233/bir-1994-31107.
The erythrocyte sedimentation test is a useful tool for studying the biophysical properties of red blood cells (RBCs) and the interactions between RBCs and bridging macromolecules in the suspending fluid. In our previous model of erythrocyte sedimentation formulated on the basis of a logistic growth equation of population dynamics (Kuo et al., 1989), the sedimentation rate constant, r, was assumed to be an intrinsic constant characteristic of the interaction between RBCs and bridging macromolecules in the suspending fluid. By analyzing the time dependence of r in that model, however, it was found that r depends on the sedimentation time, t. There is a power law relation between r(t) and t; the rate "constant" is therefore an effective kinetic rate constant rather than a true constant. The realization that r is an effective kinetic rate constant allowed the introduction of a power law function r(t) into the formalism of erythrocyte sedimentation. Doing so yielded a new model with the following capacities: (a) The skew-symmetric sedimentation curves can be modeled; (b) the experimental data can be fitted better with the new sedimentation equations; (c) a fractal dimension, D, and a new rate constant, k, can be defined; (d) the tendency for a certain amount of plasma to be trapped inside the rouleau network, xi, can be accounted for. The D, k, xi, and other parameters can be used in the analysis of RBC interactions mediated by bridging macromolecules.
红细胞沉降试验是研究红细胞（RBC）生物物理特性以及悬浮液中红细胞与桥连大分子之间相互作用的一种有用工具。在我们之前基于种群动力学逻辑增长方程建立的红细胞沉降模型中（Kuo等人，1989年），沉降速率常数r被假定为悬浮液中红细胞与桥连大分子之间相互作用的一个固有常数特征。然而，通过分析该模型中r随时间的依赖性发现，r取决于沉降时间t。r(t)与t之间存在幂律关系；因此，速率“常数”是一个有效动力学速率常数而非真正的常数。认识到r是一个有效动力学速率常数，使得幂律函数r(t)能够被引入红细胞沉降形式体系中。这样做产生了一个具有以下能力的新模型：（a）可以对不对称沉降曲线进行建模；（b）新的沉降方程能够更好地拟合实验数据；（c）可以定义一个分形维数D和一个新的速率常数k；（d）能够解释一定量血浆被困在缗钱状网络内部的趋势xi。D、k、xi以及其他参数可用于分析由桥连大分子介导的红细胞相互作用。
