• 作者： Li, Hsing-Ya
• 中文摘要： 應用缺陷度一演算法(deficiency one algorithm),物種-複合體-連結圖法(species-complex-linkage graph theory)及子網路引理(subnetwork corollary)來判定,連續流動攪拌反應槽(CSTR)內均相(homogeneous)恆溫之森林狀(forest-like)的化學反應網路(chemical reaction network),可發生多重穩定狀態(multiple steady states)的現象。當化學反應網路具有多重穩定狀態之子網路時,子網路引理可有效地判定原化學反應網路發生多重穩定狀態的可能性。例中計算了化學反應速率常數及相對應的兩個穩定狀態,並以數值方法決定其安定性(stability)。
• 英文摘要： The aim of this article is to determine the capacity of multiple positive steady states in several forest-like reaction networks, which involve complex isothermal homogeneous (mass action) reactions in continuous flow stirred tank reactors (CSTRs). Analysis is based on the deficiency one algorithm, the species-complex-linkage (SCL) graph theory and the subnetwork corollary. The subnetwork corollary is an efficient tool in the determination of multiple positive steady states in a complex reaction network which contains a subnetwork admitting steady-state multiplicity. A set of rate constants and two corresponding positive steady states are constructed for each example. The stability of steady states is valued numerically.
• 中文關鍵字： 反應網路; 多重穩定態; 均相; 定溫; 連續攪拌反應器
• 英文關鍵字： Reaction Network; Multiple Steady State; Homogeneous; Isothermal; Continuous Stirred Tank Reactor