Discrimination Among Mechanistic Models
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TL;DR
To discriminate among these a sequential procedure is developed in which calculations made after each experiment determine the most discriminatory process conditions for use in the next experiment.
Abstract
This paper is concerned with research, the object of which is to discover the mechanism for a particular phenomenon leading to a specific mathematical model. Such investigations are distinguished from those in which the object is merely to estimate the output y of a process over a range of values of the input ∊1, ∊2, …, ∊ k . Frequently, a number of possible mechanisms are suggested from theoretical considerations leading to a number of different mathematical models. To discriminate among these a sequential procedure is developed in which calculations made after each experiment determine the most discriminatory process conditions for use in the next experiment. The method is illustrated with examples.