The response of a macromolecule near a tiled substrate

Abstract

We analyze response of a macromolecule near to a substrate; the substrate is tiled in the sequential and specific manner so that repeat units of the macromolecule may have different response on its adsorption in different directions onto the substrate. The lattice model of random walk has been used to analyze the adsorption-desorption behavior of an infinitely long homo-polymer molecule on a sequentially tiled substrate in three dimensions. The lattice model for the Gaussian chain and directed self-avoiding chain has been solved analytically. It has been emphasized on the basis of analytical estimates that a suitable coating may modify affinity of the macromolecule on the living surfaces and on the non living substrates in the complex manner which may be suitable means to control growth and also a route to restrict the spread of the deadly microbes.