Andrade M A, García-Tejedor A J, Montero F
Departamento de Bioquímica y Biologia Molecular I, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040 Madrid, Spain.
Biophys Chem. 1991 Apr;40(1):43-57. doi: 10.1016/0301-4622(91)85028-o.
Asymmetry within both the amplification factor values (Ak) and cross-catalytic hypercyclic constant (Kjk) and its influence on the stability of a two-membered error-prone hypercycle has been exhaustively studied from a deterministic point of view and the bifurcation diagram as a function of the quality factor (Q) has been obtained. In the more general case, several Q critical values appear, changing their relative position in the diagram depending on the Ak and Kjk values. The order of the Q critical values affects both the general properties of the system and the stability of the hypercyclic organization. The importance of this asymmetry in the selective and evolutionary properties of the hypercycle is also discussed.
从确定性角度深入研究了放大因子值（Ak）和交叉催化超循环常数（Kjk）中的不对称性及其对二元易错超循环稳定性的影响，并获得了作为品质因数（Q）函数的分岔图。在更一般的情况下，会出现几个Q临界值，它们在图中的相对位置会根据Ak和Kjk值而变化。Q临界值的顺序既影响系统的一般性质，也影响超循环组织的稳定性。还讨论了这种不对称性在超循环的选择性和进化性质中的重要性。
