A Dynamic Model for the Attachment of a Brownian Particle Mediated by Discrete Macromolecular Bonds
✍ Scribed by Richard B. Dickinson
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 219 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0021-9797
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✦ Synopsis
binding molecules influence the rate of particle attachment, A model is presented for the attachment of a Brownian particle which accounts for both discrete and non-discrete interacto a surface mediated by both the conservative colloidal forces and tions, such as London-van der Waals, electrostatic, and stethe formation of macromolecular bonds. By considering Brownian ric forces. The goal of this manuscript is to develop a theoretmotion and bond formation as coupled stochastic processes, the ical framework for predicting particle attachment rate to a model derives a governing equation for the time-dependent probasurface as a function of the physical and chemical properties bility density of having a given number of bonds and separation of the binding macromolecules. We examine the specific distance from the surface. The model predicts the deposition rate case of the steady-state flux of non-interacting particles over of particles to a surface as a function of the physicochemical paa boundary layer from suspension, a problem considered rameters of the binding molecules, including the density, interaction length, stiffness, and formation and dissociation kinetic rate previously for the case in the absence of macromolecular constants. Furthermore, two limiting simplifications of the full bonds (13, 12, 2). The problem here is analogous: first, model are explored which correspond to particle attachment rate the interaction energy of the particle-surface interface is limited by the rate of Brownian motion or by the rate of bond determined as a function of particle-surface separation disformation. ᭧ 1997 Academic Press tance; then, on the basis of this energy, the probability flux Key Words: particle attachment; colloidal deposition; interaction is solved for a particle with fluctuating position moving from potential; macromolecular bonds. the ''free'' state to an ''attached'' state. However, in the presence of binding macromolecules, the interaction energy and thus the particle dynamics also depends on the fluctuat-