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Time dependent desorption: A memory function approach
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DOI：10.1007/BF00127102.png)
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A formalism for the adsorption kinetics of systems where the desorption rate is a function of the residence time of the adsorbed particle is presented. The adsorbed density at time t is expressed simply as a convolution of a memory kernel, Q(t), and the available surface function, phi(t). For completely irreversible adsorption, Q(t) = 1, while for a system which approaches an equilibrium state, a tends to zero at sufficiently large times. When the desorption rate, k(d), is constant, Q(t) = exp(-k(d)t). Two models for the memory kernel are considered. In the first, the molecule is assumed to interact with the surface via two ligands which bind and debind at rates lambda and mu respectively. In the second model, the adsorption is assumed to be partially reversible: molecules transform to a permanently bound state at a rate lambda and desorb at a rate mu. In both models, the adsorption kinetics and memory kernels are found analytically. Strategies for determining the memory function from experimental data are discussed.
Keyword:
protein adsorption
desorption
memory function
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