自催化系统和重组：反应网络观点
Autocatalytic systems and recombination: a reaction network perspective
摘要：
自催化系统经常被纳入“生命起源”模型，曼弗雷德·艾根（Manfred Eigen）在经典超循环的背景下分析了这种联系。我们研究了某些称为双分子自催化系统的网络的动力学。特别是，我们认为在这些网络中的相对人口的动态，并表明，他们可以通过研究精心选择的自治多项式动力系统进行分析。此外，我们发现，可以使用反应网络理论的结果来证明持久性和持久性的几种类型的双分子自催化系统称为自催化重组网络。
英文摘要：
Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manfred Eigen. We investigate the dynamics of certain networks called bimolecular autocatalytic systems. In particular, we consider the dynamics corresponding to the relative populations in these networks, and show that they can be analyzed by studying well-chosen autonomous polynomial dynamical systems. Moreover, we find that one can use results from reaction network theory to prove persistence and permanence of several types of bimolecular autocatalytic systems called autocatalytic recombination networks.
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