Yarmush M L, Patankar D B, Yarmush D M
The Center for Engineering in Medicine, Massachusetts General Hospital, Boston 02114, U.S.A.
Mol Immunol. 1996 Oct;33(15):1203-14. doi: 10.1016/s0161-5890(96)00075-2.
The mass-transfer processes that affect kinetic measurements of biospecific interactions between one species in a flowing solution and another species immobilized in a thin hydrogel instrument were analysed by means of convection-diffusion reaction models. The specific purpose was to identify experimental design considerations for kinetic measurements using the BIAcore instrument. Numerical solutions identified three different regimes of operation. A kinetic regime exists at low values of Damkohler number (Da), when the intrinsic kinetics are slow and the diffusion is relatively fast. This allows for the accurate determination of kinetic constants. A limiting value of Da, above which mass-transfer limitations appear, is presented as a function of Peclet number, Pe. At higher Da values, the reaction occurs in the mass-transfer-controlled regime where the reaction-rate is independent of the intrinsic kinetics. It was observed that, frequently, the reaction occured in an intermediate regime where, although the mass-transfer rate was not strictly limiting, substantial concentration gradients were present. Analysing the data in this regime by direct application of kinetic equations underestimates the association rate constant. Even when the reaction was not limited by mass-transfer in the flow channel, it may have been affected by steric hindrance to transport in the hydrogel, if a large concentration of capturing antibody or ligand was immobilized. The primary effect of the hindrance was to lower the soluble-species (analyte) concentration in the hydrogel when compared to the bulk solution. Non-uniformity of conditions within the hydrogel in the presence of steric hindrance had a significant effect on the observed reaction. The effect was most prominent at higher analyte concentration, when the rate constant showed an apparent reduction as the reaction progressed.
通过对流扩散反应模型分析了影响流动溶液中一种物质与固定在薄水凝胶仪器中的另一种物质之间生物特异性相互作用动力学测量的传质过程。具体目的是确定使用BIAcore仪器进行动力学测量的实验设计考虑因素。数值解确定了三种不同的操作模式。当达姆科勒数(Da)较低时,存在动力学模式,此时本征动力学较慢而扩散相对较快。这使得能够准确测定动力学常数。给出了Da的一个极限值,超过该值时传质限制出现,该极限值是佩克莱特数(Pe)的函数。在较高的Da值下,反应发生在传质控制模式,其中反应速率与本征动力学无关。据观察,反应经常发生在中间模式,尽管传质速率并非严格限制,但存在大量浓度梯度。在该模式下直接应用动力学方程分析数据会低估缔合速率常数。即使反应在流动通道中不受传质限制,如果固定了大量捕获抗体或配体,它也可能受到水凝胶中传输的空间位阻的影响。与本体溶液相比,这种位阻的主要影响是降低水凝胶中可溶性物质(分析物)的浓度。在存在空间位阻的情况下,水凝胶内条件的不均匀性对观察到的反应有显著影响。在较高分析物浓度下,这种影响最为显著,此时反应进行时速率常数明显降低。