It is essential to design bioprocesses which provide appropriate conditions for stem cell growth from low initial amounts to desirable values. For this purpose, a simple and efficient conceptual bioprocess based on a stirred tank bioreactor containing an inner tube with sequencing batch aeration system was designed, and modeled for performance prediction of mass production of suspended stem cells. Based on the bioprocess design parameters as well as cell characteristics and final cell density, overall volume of bioreactor required for both liquid and gas phases was selected equal to 400 ml including an inner tube with diameter and height of 2 cm and 10 cm, respectively. Aeration system was considered according to consumption rate of O2 and production rate of CO2 as daily replacement of total gas phase (with 1% positive pressure). Medium exchange was also considered as replacement of half of the liquid phase with a new medium every three-day. The bioprocess was then modeled after writing related mass balances and the system performance was predicted for a 10-day culture period. The designed bioreactor system predicted that the final number of cells needed by the patient can be achieved during the 10-day cultivation from small biopsy without the problems caused by shortage or critical accumulation of any materials. The conceptual bioprocess modeling and performance prediction showed a great potential to examine the culture system for suspended stem cell production.