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Updated: Aug 24, 2026

Monitoring Protein Adsorption with Solid-state Nanopores
Published on: December 2, 2011
Recursive approach to random sequential adsorption
1Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, United Kingdom.
Abstract:
We present a generalization of Renyi's [A. Renyi, Trans. Math. Stat. Prob. 4, 205 (1963)] classical solution to the one-dimensional random sequential adsorption (RSA) problem, to the case where particle sizes are drawn from an arbitrary distribution, a process known as competitive RSA. We formulate the process using recursive relations, and without explicitly solving the equations, we extract limiting behavior which leads to exact analytic expressions for the final coverage. Our analysis is confirmed by computer simulations.
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