Abstract: Based on the analysis of gas-liquid mass transfer and liquid flow in the reactor of bioartificial liver support system, and comprehensive consideration of the configuration and the actual needs of the reactor, the mathematic mechanism model of dynamic distribution of dissolved oxygen concentrations in the reactor was build up based on one-dimensional axial diffusion model. The equations set was solved by finite difference method and the effects of conditions, such as flow rate, oxygen mass transfer coefficient and oxygen consumption rate on distributions of dissolved oxygen concentration were investigated. The results show that the optimal parameters in the reactor are liquid flow rate 0.55 mm/s, mass transfer coefficient 0.31 s-1, and diffusion coefficient 0.02 mm2/s. Based on the experimental data, the model is proved and the average calculation error can be limited in ±5%. The results are of reference to the optimum design of the reactor in bioartificial liver support system, and this model provides a reliable theoretical basis.

Key words: bio-reactor, model, dissolved oxygen concentration, hepatocyte culture, bioartificial liver support system

摘要： 研究了人工肝生物反应器的结构特点，并在对反应器内部液体流动与气液传质规律进行分析的基础上，结合反应器的实际需要，建立了基于一维轴向扩散模型的人工肝专用生物反应器溶解氧浓度动态分布的数学机理模型. 利用有限差分方法对模型离散化求解，得到了流动速度、氧传质系数及细胞耗氧速率对反应器内部溶解氧浓度分布的影响规律. 通过对模型数值解的分析得到了特定条件下反应器内的优化参数为液体流速0.55 mm/s，传质系数0.31 s-1，扩散系数0.02 mm2/s. 最后，通过仿真数据与实测实验的对比验证了该模型的正确性，其平均误差在±5%以内. 本模型的建立在理论上验证了该专用生物反应器可以提供稳定且均匀的溶解氧浓度分布，同时也为下一代新型反应器的优化设计提供了参考数据和理论依据.

关键词: 生物反应器, 模型, 溶解氧浓度, 肝细胞培养, 生物人工肝支持系统