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Computation of the posterior entropy in a Bayesian framework for parameter estimation in biological networks

机译:生物网络参数估计中贝叶斯框架后熵的计算

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In this paper we consider the problem of parameter estimation for intracellular network models with statistical Bayesian approaches. We use systems of nonlinear differential equations in order to describe the dynamics of those networks. In this setting, the posterior distribution has to be investigated via Markov chain Monte Carlo sampling. Art estimation of summary statistics of the posterior from these samples requires appropriate density estimation methods. We focus in this study particularly on the influence of kernel density estimators on the expected information content of the posterior. A new method for the calculation of this information content is introduced that uses directly the unnormalized posterior values at the sample points. We exemplarily show its superiority to kernel estimators on a model of secretory pathway control at the trans-Golgi network in mammalian cells.
机译:在本文中,我们考虑了统计贝叶斯方法的细胞内网络模型参数估计问题。我们使用非线性微分方程的系统来描述这些网络的动态。在这种环境中,必须通过马尔可夫链蒙特卡罗采样来研究后部分布。从这些样品的后后统计的艺术估计需要适当的密度估计方法。我们专注于本研究,特别是核密度估计对后后核的影响。引入了计算该信息内容的新方法,其直接在采样点处直接使用非正规化后值。我们示例性地表明其在哺乳动物细胞中的Trans-Golgi网络的分泌途径控制模型上的优越性。

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