Animal-free and mechanism-based understanding of human body responses is the ultimate goal of alternative to animal experiments. To achieve this goal, integration of advanced cell-based assays using iPS/ES cell technologies with various numerical methods are required. In this review, from the standpoint of tissue engineering, we focused first on the enhancement of physiological relevance of tissue culture models by overcoming the problem between 3D cellular organization and oxygen/nutrient supply. Second, we summarized the concept and actual systems of microfluidic-based body/organ on-a-chip systems, also called as microphysiological system, MPS, particularly for liver on-a-chip systems. Finally, remaining issues were discussed to realize better physiological relevance in vitro.