Reaction networks and kinetics of biochemical systems

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• 作者：Carlene Perpetua P. Arceo^a ; ^{cayen@math.upd.edu.ph} ; Editha C. Jose^b ; ^{ecjose1@up.edu.ph} ; Angelyn R. Lao^c ; ^{angelyn.lao@dlsu.edu.ph} ; Eduardo R. Mendoza ; ^a ; ^b ; ^d ; ^e ; ^{mendoza@lmu.de}
• 关键词：Chemical reaction network ; Kinetics set ; Complex factorizable kinetics ; Power law kinetics ; Kinetic subspace ; Span surjective kinetics ; Total representation ; Total kinetic system ; Embedded representation ; Embedded kinetic system
• 刊名：Mathematical Biosciences
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：283
• 期：Complete
• 页码：13-29
• 全文大小：1211 K
• 卷排序：283

文摘

Important subsets of chemical kinetics on reaction networks have interesting algebraic properties. The results on the coincidence of the kinetic and stoichiometric subspaces of Feinberg and Horn (1977) and Feinberg (1987) are extended to complex factorizable systems with span surjective factor maps. Initial results on noncomplex factorizable kinetics are derived through the study of their span surjective subset. The branching type of a network determines which kinetics are available on the network. Analysis of fifteen BST models of biological systems reveals novel network and kinetic properties little studied in CRNT so far.