论文标题
具有随时间变化速率的广义核糖体流模型的持久性和稳定性
Persistence and stability of generalized ribosome flow models with time-varying transition rates
论文作者
论文摘要
在本文中，研究了所谓的广义核糖体流模型的定性动力学特性。通过允许隔室之间的任意定向网络结构，通过假设描述隔室过渡的一般时间变化的速率函数，通过允许任意定向网络结构来概括核糖体流模型。使用系统的化学反应网络（CRN）表示动态的持久性。我们显示了不同隔室结构的稳定性，包括具有熵样的对数Lyapunov函数的紧密连接的结构。在具有同一时期的周期性反应率的情况下，还研究了解决方案的L1合同。还表明，根据反应速率的分解，可以将不同的Lyapunov函数分配给同一模型。
In this paper the qualitative dynamical properties of so-called generalized ribosome flow models are studied. Ribosome flow models known from the literature are generalized by allowing an arbitrary directed network structure between the compartments and secondly, by assuming a general time-varying rate function describing the compartmental transitions. Persistence of the dynamics is shown using the chemical reaction network (CRN) representation of the system. We show the stability of different compartmental structures including strongly connected ones with an entropy-like logarithmic Lyapunov function. The L1 contractivity of solutions is also studied in the case of periodic reaction rates having the same period. It is also shown that different Lyapunov functions may be assigned to the same model depending on the factorization of the reaction rates.
