标题： 最简单基因开关的拓扑结构 显示英文标题

标题： Topology of the simplest gene switch

摘要： 复杂的基因调控网络通常表现出涌现的简单行为。 有时这种简单性可以归因于几乎等效的能量景观，但并非总是如此。 在这里，我们展示了随机和生化网络的拓扑理论如何预测动力学模式之间的相变，其中最简单的景观范式失效。 我们证明了这种拓扑方法在简单基因网络中的实用性，除了之前识别出的双稳态和单稳态相外，还揭示了一个新的振荡相。 我们展示了局部绕数如何预测双稳态和单稳态相中的稳态位置，并且通量分析可以预测稳态峰的相应强度。 显示英文摘要

摘要： Complex gene regulatory networks often display emergent simple behavior. Sometimes this simplicity can be traced to a nearly equivalent energy landscape, but not always. Here we show how topological theory for stochastic and biochemical networks can predict phase transitions between dynamical regimes, where the simplest landscape paradigm fails. We demonstrate the utility of this topological approach for a simple gene network, revealing a new oscillatory regime in addition to previously recognized bistable and monostable phases. We show how local winding numbers predict the steady-state locations in the bistable and monostable phases, and a flux analysis predicts the respective strengths of steady-state peaks.