General delay dynamical systems in which uncertainty is present in the form of probability measure dependent dynamics are considered. Several motivating examples arising in biology are discussed. A functional analytic framework for investigating well-posedness (existence, uniqueness and continuous dependence of solutions), inverse problems, sensitivity analysis and approximations of the measures for computational purposes is surveyed.

中文翻译：

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具有分布相关动力学的时间延迟系统。

考虑了不确定性以依赖于概率度量的动态形式存在的一般延迟动态系统。讨论了生物学中出现的几个激励性例子。调查了用于研究适定性（解的存在性、唯一性和连续依赖性）、逆问题、敏感性分析和用于计算目的的度量近似的功能分析框架。