Model identification in linear transformation systems

摘要

Any attempt to establish models is meaningless unless it leads to a precise and well-founded model. To achieve this, the search for a model must be governed by an adequate theoretical framework. Delattre's theory of transformation systems has this aim. The identification of a model evidently becomes more difficult with increasing number of parameters to be evaluated, and this number in turn is governed by the quantity of information gained from the experiments. The identification may also be hampered by incompleteness of the experimental results, if these do not relate to all the experimental parameters concerned in the dynamics of the system. The identification algorithms given in this paper are based on modern methods of numerical analysis, and allow the unrestricted use of all available experimental measurements. The principles of application of the method are described with reference to the interpretation of the survival curves of irradiated micro-organisms.