We investigate the validity of the Girsanov Transformation (GT) method for parametric sensitivity analysis of stochastic models of chemical reaction networks. The validity depends on the likelihood ratio process being a martingale and the commutation of a certain derivative with expectation. We derive some exponential integrability conditions which imply both these requirements. We provide further conditions in terms of a reaction network that imply these exponential integrability conditions.

中文翻译：

---

用于随机化学反应网络敏感性分析的 Girsanov 变换方法的有效性

我们研究了用于化学反应网络随机模型参数敏感性分析的 Girsanov 变换 (GT) 方法的有效性。有效性取决于似然比过程是一个鞅和某个导数与期望的对易。我们推导出一些指数可积性条件，这意味着这两个要求。我们根据反应网络提供了进一步的条件，这意味着这些指数可积分条件。