The present invention provides a method for surface modifying a substrate, such as an implant, to provide the substrate with anticoagulant activity and resistance to the deposition of plasma proteins; and the resulting substrate. The surface of the substrate is modified by first depositing a film of a plasma polymer such as plasma polymerized N-vinyl-2-pyrrolidone or allyl alochol on the surface of the substrate. Optionally, a neutral hydrophilic spacer molecule is attached to the plasma polymer. An anticoagulant, such as heparin, is attatched either directly to the substrate or indirectly to the substrate via attatchment to the spacer molecule, when such spacer molecule is present.
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