论文标题
自催化系统和重组：反应网络视角
Autocatalytic systems and recombination: a reaction network perspective
论文作者
论文摘要
自催化系统经常被纳入“生命的起源”模型中，这一联系已在Manfred Eigen引入的经典超单周期内进行了分析。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，我们考虑了与这些网络中相对种群相对应的动力学，并表明可以通过研究精心选择的自主多项式动力学系统来分析它们。此外，我们发现可以使用反应网络理论的结果来证明称为自催化重组网络的几种类型的双分子自催化系统的持久性和永久性。
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.
