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Every baby boomer in America knows who that masked man was. He was mysterious and mythic at the same time, the epitome of the American hero: compassionate, honest, patriotic, inventive, an unswerving champion of justice and fair play.

This text is written for applied mathematicians, physicists, biomathematics researchers, and engineers interested in deterministic models in relation to stochastic models and their interactions. It covers two major types of modelling and inverse problems: where one assumes that there is a precise mathematical model without a modelling error given by a dynamical system and where the mathematical model itself is a major source of uncertainty and this uncertainty is propagated in time.