부산대학교 도서관

This paper uses the method of high-dimensional model representation (HDMR) to present a global sensitivity analysis and simulations of a perfusion bioreactor operation. This method enables the analysis of the input–output relationships of a complex model containing a high dimensional input space focusing on the parameters that could be used in the control of a perfusion bioreactor process. The model used in this work is a comprehensive mathematical model for diffusion and convection for a perfusion bioreactor, which is combined with cell growth kinetics that describes the spatio-temporal glucose concentration, oxygen concentration, lactate concentration and cell density evolution in a 3D polymeric scaffold. To investigate the important features of the perfusion bioreactor process as well as possible factors underlying qualitative discrepancies a quantitative analysis of the complex kinetic mechanisms using recent development of advanced mathematical approaches to global sensitivity and uncertainty analysis through HDMR is used. Assessing the effect of the model inputs on the model’s predicted outputs is an important step especially when trying to develop control strategies