Abstract

We derive the evolution equation for a lipid vesicle in the presence of an adhering wall, under the assumption that the vesicle9s membrane is permeable to the surrounding fluid that is permanently at rest. For vesicles in two dimensions, we study the asymptotic decay to a circle and the incipient adhesion to a flat wall with a piecewise adhesion potential. We illustrate several computer animations driven by the evolution equation obtained here. They are available in full at http://smmm.unipv.it/vesicles.html.

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