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ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Recurrent Solutions to Dynamics Inverse Problems: A Validation of MP Regression

Vincenzo Manca* and Luca Marchetti

University of Verona, Verona, Italy

*Corresponding Author:
Vincenzo Manca
University of Verona, Verona, Italy
Tel: 390458027981
E-mail: [email protected]

Received June 05, 2014; Accepted July 18, 2014; Published July 24, 2014

Citation: Manca V, Marchetti L (2014) Recurrent Solutions to Dynamics Inverse Problems: A Validation of MP Regression. J Appl Computat Math 3: 176. doi: 10.4172/2168-9679.1000176

Copyright: © 2014 Manca V, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

The paper is focused on a new perspective in solving dynamics inverse problems, by considering recurrent equations based on Metabolic P (MP) grammars. MP grammars are a particular type of multiset rewriting grammars, introduced in 2004 for modeling metabolic systems, which express dynamics in terms of finite difference equations. Regression algorithms, based on MP grammars, were introduced since 2008 for algorithmically solving dynamics inverse problems in the context of biological phenomena. This paper shows that, when MP regression is applied to time series of circular functions (where time is replaced by rotation angle), the dynamics that is found turns out to coincide with recurrent equations derivable from classical analytical definitions of these functions. This validates the MP regression as a general methodology to discover deep logics underlying observed dynamics. At the end of the paper some applications are also discussed, which exploit the regression capabilities of the MP framework for the analysis of periodical signals and for the implementation of sequential circuits providing periodical oscillators.

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