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The population balance modeling is a statistical approach for achieving accurate counts of any populations. It is an efficient way of counting traffic on roadways as well as to bacteria in lakes. In the biomedical world, it is used to count cell populations for the creation of biomaterials. Despite their undisputed accuracy, they have been underutilized for design and control purposes due to two main reasons: a) they are hard to solve and b) the functions that describe single-cell mechanisms and appear as parameters in these models are typically unknown.