New time-scale criteria for model simplification of bio-reaction systems

Background: Quasi-steady state approximation (QSSA) based on time-scale analysis is known to be an effective method for simplifying metabolic reaction system, but the conventional analysis becomes time-consuming and tedious when the system is large. Although there are automatic methods, they are based on eigenvalue calculations of the Jacobian matrix and on linear transformations, which have a high computation cost. A more efficient estimation approach is necessary for complex systems. Results: This work derived new time-scale factor by focusing on the problem structure. By mathematically reasoning the balancing behavior of fast species, new time-scale criteria were derived with a simple expression that uses the Jacobian matrix directly. The algorithm requires no linear transformation or decomposition of the Jacobian matrix, which has been an essential part for previous automatic time-scaling methods. Furthermore, the proposed scale factor is estimated locally. Therefore, an iterative...

• Type: Journal
• Year: 2008
• Where: BMCBI
• Authors: Junwon Choi, Kyung-won Yang, Tai-yong Lee, Sang Yup Lee
• Keywords: BMCBI 2008, Jacobian Matrix, Multiple Boundary Layers, Time-scale Criteria