Abstract
The identification of a linear compartment model, which may describe a chemical or biological process, is a difficult task, since the available data is generally limited. In this paper we propose a method for determining the state transition matrix by minimizing a given quadratic criterion. To solve the resulting matrix equation, an assumption has to be made which constitutes a necessary condition for the identifiability of the model. Moreover when this assumption is satisfied, it is shown that the knowledge of one line or one column of the transition matrix is sufficient to define it completely.
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Bertrand, P., Le Cardinal, G. & Walter, E. Reconstitution of the transition matrix from experimental data. Bltn Mathcal Biology 40, 369–376 (1978). https://doi.org/10.1007/BF02461608
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DOI: https://doi.org/10.1007/BF02461608