Presentation
Inverse Dynamical Problems: An Algebraic Formulation Via MP Grammars
Author/s | Manca, Vincenzo
Marchetti, Luca |
Publication Date | 2012 |
Deposit Date | 2016-02-04 |
Published in |
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ISBN/ISSN | 978-84-940056-6-4 |
Abstract | Metabolic P grammars are a particular class of multiset rewriting grammars
introduced in the MP systems' theory for modelling metabolic processes. In this paper,
a new algebraic formulation of inverse dynamical problems, ... Metabolic P grammars are a particular class of multiset rewriting grammars introduced in the MP systems' theory for modelling metabolic processes. In this paper, a new algebraic formulation of inverse dynamical 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 dynamical 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 de nes an algorithm, based on a hierarchical clustering technique, that solves it in a suitable way. |
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