An algebraic formulation of inverse problems in MP dynamics |
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Authors: | Vincenzo Manca Luca Marchetti |
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Affiliation: | 1. Department of Computer Science , University of Verona , Strada Le Grazie 15, 37134 , Verona , Italy vincenzo.manca@univr.it;3. Department of Computer Science , University of Verona , Strada Le Grazie 15, 37134 , Verona , Italy |
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Abstract: | Metabolic P (MP) grammars are a particular class of multiset rewriting grammars introduced in the MP theory for modelling metabolic processes. In this paper, a new algebraic formulation of inverse problems, based on MP grammars and Kronecker product, is given, for further motivating the correctness of the LGSS (Log-Gain Stoichiometric Stepwise) algorithm, introduced in 2010s for solving inverse problems in the MP framework. At the end of the paper, a section is included that introduces the problem of multicollinearity, which could arise during the execution of LGSS, and that defines an algorithm, based on a hierarchical clustering technique, that solves it in a suitable way. |
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Keywords: | metabolic P systems dynamical systems inverse problems Kronecker product stepwise regression |
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