A permeable structure forming a chamber to hold living cells, the permeable structure comprising a first permeable region surrounding at least a portion of the chamber having a conformation that, when implanted in host tissue, substantially blocks penetration of host cells into the chamber while permitting solute transport between the host and cells, a second permeable region overlying the first permeable region having a conformation that, when implanted in host tissue, forms a permeable interface with host tissue that permits solute transport between the host and cells, the first permeable region comprising an array of three dimensional strands having a first dimension larger than a second and third dimensions and, for the majority of strands, neither of the second and third dimensions exceeds about 5 .mu.m, and a third permeable region between the first and second permeable regions comprising a polymer material layer formed in place between the first and second permeable regions, the third permeable region bonding the first and second permeable regions together and having a conformation that, when implanted in host tissue, permits solute transport between the first and second permeable regions.