On The Geometry of Equilibrium Solutions of Kinetic Systems Obeying the Mass Action Law 1

作     者：Antonio A. Alonso Gábor Szederkényi 

作者机构：(Bio)Process Engineering Group IIM-CSIC Spanish National Research Council C/Eduardo Cabello 6 36208 Vigo Spain Systems and Control Laboratory MTA SZTAKI Kende u. 13-17 H-1111 Budapest Hungary 

出 版 物：《IFAC Proceedings Volumes》 

年 卷 期：2012年第45卷第15期

页      面：469-474页

摘      要：In this contribution the problem relating dynamic behavior and parameter values for weakly reversible chemical reaction networks (CRNs) that obey the mass action law is revisited. The approach is founded on previous methods and results discussed in [15, 16] for weakly reversible CRNs. Two new research directions are however undertaken in this study, one of them exploits an alternative factorization of the Kernel of the Kirchhoff matrix A k which in a natural way links complex balance with zero deficiency. The other one intends to use the convex structure of the so-called family of solutions described in [15] on the space of reaction channels.