The attenuation or isolation of environmental parameters on a gastric lumen is described herein. Once tissue plications are formed into a gastric lumen or sleeve within a stomach, the newly formed lumen is subjected to a multitude of fluctuating stresses or pressure from food or fluids passing therethrough, from naturally-occurring contractions, and/or from changes in pH levels from caustic stomach acids and hormones. The tissue interface between these plications can be isolated from such environmental fluctuations, or the fluctuations can be attenuated, by a number of methods. One example is to place a gastric stent or sleeve within the newly formed lumen. Another example is to utilize multiple rows of anchors, clips, or sutures along the interface. Alternatively, bio-adhesives can be dispensed to buttress the tissue interface. In another variation, the tissue can be approximated in different configurations which effectively reduce or isolate the adhered tissue region.