Pt. Leung et al., MODELING OF PARTICLE-ENHANCED SENSITIVITY OF THE SURFACE-PLASMON-RESONANCE BIOSENSOR, Sensors and actuators. B, Chemical, 22(3), 1994, pp. 175-180
A theoretical model is presented for a surface-plasmon-resonance (SPR)
biosensor, used to sense particle-enhanced antigen-antibody binding.
The particles used in this technique, such as colloidal gold, are gene
rally of high optical refractive index. We propose a two-dimensional f
ractal-cluster model to study the effect of coalescence of these parti
cles and compare our results with those obtained from the Maxwell-Garn
ett model. This latter model ignores coalescence and assumes that the
particles disperse randomly throughout the binding layer. Our results
show that the comparison depends critically on the fractal dimension,
which is a measure of the clustering among the particles. The conclusi
on is that for colloidal gold, clustering among particles will likely
lead to greater signal enhancement, while for other particles, such as
polystyrene and titanium dioxide, the enhancement is less certain due
to their smaller refractive indices as well as the uncertainty in the
ir fractal dimensions. In addition, our results indicate that analysis
of the SPR signal using the Maxwell-Garnett model could lead to an ov
erestimate of the binding in this technique.