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A kinetic analysis using fractals of cellular analyte-receptor binding and dissociation.

Publication ,  Journal Article
Sadana, A; Vo-Dinh, T
Published in: Biotechnology and applied biochemistry
February 2001

A fractal analysis is presented for cellular analyte-receptor binding and dissociation kinetics using a biosensor. Data taken from the literature may be modelled, in the case of binding, using a single-fractal analysis or a dual-fractal analysis. The dual-fractal analysis represents a change in the binding mechanism as the reaction progresses on the surface. The predictive relationship developed for the equilibrium constant, K (affinity which is equal to k(d)/k(1or2)), as a function of the analyte concentration is of particular value since it provides a means by which the affinity may be manipulated. This should be of assistance in cell-surface reactions, drug-candidate optimization and for the design of immunodiagnostic devices. Relationships are also presented for the binding and dissociation rate coefficients as a function of their corresponding fractal dimension, D(f) or the degree of heterogeneity that exists on the surface, and the analyte concentration in solution. When analyte-receptor binding or dissociation is involved, an increase in the heterogeneity on the surface (increase in D(f) or D(fd) as the case may be) leads to an increase in the binding and the dissociation rate coefficients. It is suggested that an increase in the degree of heterogeneity on the surface leads to an increase in the turbulence on the surface owing to the irregularities on the surface. This turbulence promotes mixing, minimizes diffusional limitations and leads subsequently to an increase in the binding and the dissociation rate coefficients. The binding and dissociation rate coefficients are rather sensitive to the degree of heterogeneity, D(f) and D(fd), respectively, that exists on the biosensor surface. The heterogeneity on the surface in general affects the binding and dissociation rate coefficients differently. In general, the analyte concentration in solution has a mild affect on the fractal dimension for binding or the fractal dimension for dissociation. This is indicated by the low values of the exponent in the predictive relationships developed.

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Published In

Biotechnology and applied biochemistry

DOI

EISSN

1470-8744

ISSN

0885-4513

Publication Date

February 2001

Volume

33

Issue

1

Start / End Page

17 / 28

Related Subject Headings

  • Receptors, Cell Surface
  • Protein Binding
  • Models, Theoretical
  • Kinetics
  • Fractals
  • Biotechnology
  • 40 Engineering
  • 31 Biological sciences
  • 10 Technology
  • 09 Engineering
 

Citation

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Sadana, A., & Vo-Dinh, T. (2001). A kinetic analysis using fractals of cellular analyte-receptor binding and dissociation. Biotechnology and Applied Biochemistry, 33(1), 17–28. https://doi.org/10.1042/ba20000048
Sadana, A., and T. Vo-Dinh. “A kinetic analysis using fractals of cellular analyte-receptor binding and dissociation.Biotechnology and Applied Biochemistry 33, no. 1 (February 2001): 17–28. https://doi.org/10.1042/ba20000048.
Sadana A, Vo-Dinh T. A kinetic analysis using fractals of cellular analyte-receptor binding and dissociation. Biotechnology and applied biochemistry. 2001 Feb;33(1):17–28.
Sadana, A., and T. Vo-Dinh. “A kinetic analysis using fractals of cellular analyte-receptor binding and dissociation.Biotechnology and Applied Biochemistry, vol. 33, no. 1, Feb. 2001, pp. 17–28. Epmc, doi:10.1042/ba20000048.
Sadana A, Vo-Dinh T. A kinetic analysis using fractals of cellular analyte-receptor binding and dissociation. Biotechnology and applied biochemistry. 2001 Feb;33(1):17–28.
Journal cover image

Published In

Biotechnology and applied biochemistry

DOI

EISSN

1470-8744

ISSN

0885-4513

Publication Date

February 2001

Volume

33

Issue

1

Start / End Page

17 / 28

Related Subject Headings

  • Receptors, Cell Surface
  • Protein Binding
  • Models, Theoretical
  • Kinetics
  • Fractals
  • Biotechnology
  • 40 Engineering
  • 31 Biological sciences
  • 10 Technology
  • 09 Engineering