遗传电路指数平衡的熵方法
Exponential equilibration of genetic circuits using entropy methods
摘要：
我们分析了遗传电路的连续模型，该模型基于Friedman，Cai \& Xie（2006）最初提出的作为化学主方程近似的偏积分微分方程。我们使用熵的方法来显示指数快速收敛到这个模型的平衡明确的界限。多个基因的多维情况下的渐近平衡也得到适当的假设下的平衡平稳状态。通过数值模拟研究了含有一个和多个基因的网络的渐近平衡性质。
英文摘要：
We analyse a continuum model for genetic circuits based on a partial integro-differential equation initially proposed in Friedman, Cai \& Xie (2006) as an approximation of a chemical master equation. We use entropy methods to show exponentially fast convergence to equilibrium for this model with explicit bounds. The asymptotic equilibration for the multidimensional case of more than one gene is also obtained under suitable assumptions on the equilibrium stationary states. The asymptotic equilibration property for networks involving one and more than one gene is investigated via numerical simulations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
