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This procedure is in fact not totally correct: In principle, one should treat all layers simultaneously and calculate the resulting monomer distribution by equating the monomer chemical potentials in each layer. But on a more fundamental level also the partitioning of the adsorbed PA coils into separate and not interpenetrating layers is a questionable concept, which we chose for mathematical simplicity. Building the total adsorbate layer by layer (without equating chemical potentials) is an error of the same order as the model itself. In fact, the transition to the full region is exact (within the layer model), because here we explicitly equate the chemical potentials with the chemical potential in a nonadsorbed globule.
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