Biophysical Aspects of Particle Retention

We will first summarize some of the approaches employed in studying particle adhesion to materials that exhibit elastic properties. Quesnel et al. (84) have discussed the similarity between the tendency of a fluid drop to wet a surface of a solid and the tendency to wet when solids are brought together (e.g., a glass particle and a plastic substrate). 

When a more compliant substrate of polystyrene, which contained 20% 

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The work of adhesion is an important qnantity in the semiempirical theories originally developed in 1971 by Johnson, Kendall, and Roberts (JKR theory). We refer to the articles by Rimai et al. (85) and Quesnel et al. (84) for the formulas. In the JKR theory, the contact radius is a function of particle radius, the thermodynamic work of adhesion, and the elastic moduli (Poisson ratio and Young s modulus) of the interacting particle and substrate. 

Deijaguin et al. (87,88) proposed an alternative approach from the molecular level, combining van der Waals interactions between a rigid particle and a compliant substrate with empirically determined mechanical properties of the substrate. 

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