Optimal design of bio-hybrid systems with a hollow fiber scaffold: model analysis of oxygen diffusion/consumption

The oxygen distribution in various bio-hybrid systems composed of cellular tissue on an artificial scaffold was estimated by mathematically modeling the oxygen consumption and diffusion. Mathematical models were established for practical systems such as bio-hybrid artificial liver (BAL) and bio-hybrid blood vessels, and the calculated results were compared with corresponding experimental data. Analysis of a spherical organoid (“spheroid”) composed of hepatic cells suggested that the oxygen consumption rate in hepatocyte spheroids incubated in a BAL is one or two orders of magnitude larger than the total average value that had been calculated for various organs. A model was established for a BAL system on a scaffold of commercially available hollow fiber (typical inner and outer radii of 150 and 200 μm) to determine the optimal conditions under which the hepatocytes can be packed as closely as possible into the hollow fiber lumen while still maintaining viability without falling into oxygen deficiency. A model of bio-hybrid blood vessels formed by vascular endothelial cells incubated on the inner wall of a hollow fiber scaffold was used to estimate the maximum thickness of viable endothelial tissue under various conditions of outer partial oxygen pressure and different sizes and permeabilities of the hollow fiber scaffold. The model suggested that the oxygen supply becomes quite restricted when the hollow fiber membrane is thicker than 100 μm; the thickness of the endothelium in a 500 μm-thick hollow fiber membrane was estimated to be 7 μm at most, even when the membrane permeability was as large as that of the culture medium.