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The aggregation of biotin-modified phospholipid vesicles (liposomes) induced by binding the protein avidin in solution is analyzed experimentally and theoretically. Avidin has four binding sites that can recognize biotin specifically, and is able to cross-link the liposomes to form large aggregates. The aggregation kinetics were followed using quasi-elastic light scattering (QLS) to measure the mean particle size, and by measuring the solution turbidity. The rate and extent of aggregation were determined as a function of vesicle concentration, protein concentration, and the biotin density on the surface of the liposomes. A model based on Smoluchowski kinetics, fractal concepts, and Rayleigh and Mie light scattering theory was developed to analyze the experimental observations. Small aggregates (7800 A diameter) may be treated as globular; however, the fractal nature of larger particles must be taken into account. Parameters in the model are taken from molecular simulations, or fit to the experimental observations. The aggregation kinetics are primarily determined by the biotin density on the liposome surface, the stoichiometric ratio of avidin molecules to liposomes, and the liposome concentration. Good agreement is found between the model and the experimental results. |
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