A fractal analysis of binding and dissociation kinetics of glucose and related analytes on biosensor surfaces at the nanoscale level

Neeti Sadana, Tuan Vo-Dinh, Ajit Sadana

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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, Df) present on the biosensor chip surface. The binding and dissociation rate coefficients are sensitive to the degree of heterogeneity on the surface. For example, as the fractal dimension value increases by a factor of 3.31 from Df1 equal to 0.5720 to Df2 equal to 1.891, the binding rate coefficient increases by a factor of 8.88 from k1 equal to 0.0545 to k2 equal to 0.4841 for the binding of adipose tissue interstitial glucose. An increase in the degree of heterogeneity on the probe surface leads to an increase in the binding rate coefficient. A single-fractal analysis is adequate to describe the dissociation kinetics. A dual-fractal analysis is required to fit the binding kinetics in most of the cases presented. Affinity (ratio of the binding to the dissociation rate coefficient) values are also presented.

Original languageEnglish (US)
Title of host publicationNanotechnology in Biology and Medicine
Subtitle of host publicationMethods, Devices, and Applications, Second Edition
PublisherCRC Press
Pages449-467
Number of pages19
ISBN (Electronic)9781439893791
ISBN (Print)9781439893784
DOIs
StatePublished - Jan 1 2017

ASJC Scopus subject areas

  • General Biochemistry, Genetics and Molecular Biology
  • General Engineering
  • General Medicine

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