The functionality of biological membranes is closely tied to their structural behavior. To understand this behavior we propose to study the conformality of artificial lipid bilayers, used as a model system for biomembranes, to physically-structured tunable substrates. For this purpose, we will deposit a DPPE lipid bilayer on a thermo-responsive polymer (NIPAAm) film tethered to a diffraction grating with nanometer-size features. The NIPAAm film swells/contracts with temperature variation and changes its surface roughness while keeping the periodicity of the underlying grating. SERGIS measurements on the grating/NIPAAm/DPPE system should shed light on the response of the lipid bilayer to the underlying corrugated structures as well as to polymer surface crumpling. The results will be analyzed using a dynamical theory code that has been tested on SERGIS data on bare gratings.