Doke Atul M, Sadana Ajit
Chemical Engineering Department, University of Mississippi, University, MS, USA.
J Recept Signal Transduct Res. 2006;26(1-2):35-59. doi: 10.1080/10799890600567331.
A fractal analysis is used to model the binding and dissociation kinetics of connective tissue interstitial glucose, adipose tissue interstitial glucose, insulin, and other related analytes on biosensor surfaces. The analysis provides insights into diffusion-limited analyte-receptor reactions occurring on heterogeneous biosensor surfaces. Numerical values obtained for the binding and the dissociation rate coefficients are linked to the degree of heterogeneity or roughness [fractal dimension (D(f))] present on the biosensor chip surface. The binding and dissociation rate coefficients are sensitive to the degree of heterogeneity on the surface. For example, for the binding of plasma insulin, as the fractal dimension value increases by a factor of 2.47 from D(f1)=0.6827 to D(f2)=1.6852, the binding rate coefficient increases by a factor of 4.92 from k(1)=1.0232 to k(2)=5.0388. An increase in the degree of heterogeneity on the probe surface leads to an increase in the binding rate coefficient. A dual-fractal analysis is required to fit the binding kinetics in most of the cases presented. A single fractal analysis is adequate to describe the dissociation kinetics. Affinity (ratio of the binding to the dissociation rate coefficient) values are also presented. Interferents for glucose, such as uric acid and ascorbic acid, were also detected by using glucose biosensors based on carbon nanotube (CNT) nanoelectrode ensembles (NEEs) (Lin Y, Lu F, Tu Y, Ren Z).
分形分析用于模拟结缔组织间质葡萄糖、脂肪组织间质葡萄糖、胰岛素及其他相关分析物在生物传感器表面的结合和解离动力学。该分析为异质生物传感器表面发生的扩散受限分析物 - 受体反应提供了见解。结合和解离速率系数的数值与生物传感器芯片表面存在的异质性或粗糙度程度[分形维数(D(f))]相关联。结合和解离速率系数对表面异质性程度敏感。例如，对于血浆胰岛素的结合，当分形维数值从D(f1)=0.6827增加2.47倍至D(f2)=1.6852时，结合速率系数从k(1)=1.0232增加4.92倍至k(2)=5.0388。探针表面异质性程度的增加导致结合速率系数增加。在大多数呈现的情况下，需要双分形分析来拟合结合动力学。单分形分析足以描述解离动力学。还给出了亲和力(结合与解离速率系数之比)值。葡萄糖的干扰物，如尿酸和抗坏血酸，也通过基于碳纳米管(CNT)纳米电极阵列(NEEs)的葡萄糖生物传感器进行了检测(Lin Y, Lu F, Tu Y, Ren Z)。
