Colloidal particles with DNA legs' that can bind reversibly to receptors on a surface can be made to walk’ if there is a gradient in receptor
concentration. We use a combination of theory and Monte Carlo simulations to
explore how controllable parameters, e.g. coating density and binding strength,
affect the dynamics of such colloids. We find that competition between
thermodynamic and kinetic trends imply that there is an optimal value for both,
the binding strength and the number of `legs’ for which transport is fastest.
Using available thermodynamic data on DNA binding, we indicate how
directionally reversible, temperature-controlled transport of colloidal walkers
can be achieved. In particular, the present results should make it possible to
design a chromatographic technique that can be used to separate colloids with
different DNA functionalization.

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