Next Article in Journal
Ricci Curvature on Polyhedral Surfaces via Optimal Transportation
Previous Article in Journal
Increasing Personal Value Congruence in Computerized Decision Support Using System Feedback
Axioms 2014, 3(1), 109-118; doi:10.3390/axioms3010109
Article

Optimization Models for Reaction Networks: Information Divergence, Quadratic Programming and Kirchhoff’s Laws

1,*  and 2
Received: 4 November 2013; in revised form: 19 February 2014 / Accepted: 21 February 2014 / Published: 5 March 2014
Download PDF [183 KB, uploaded 5 March 2014]
Abstract: This article presents a simple derivation of optimization models for reaction networks leading to a generalized form of the mass-action law, and compares the formal structure of Minimum Information Divergence, Quadratic Programming and Kirchhoff type network models. These optimization models are used in related articles to develop and illustrate the operation of ontology alignment algorithms and to discuss closely connected issues concerning the epistemological and statistical significance of sharp or precise hypotheses in empirical science.
Keywords: affinity; conservation laws; entropy and quadratic optimization; mass-action law; ontology alignment; stoichiometry; variational principles affinity; conservation laws; entropy and quadratic optimization; mass-action law; ontology alignment; stoichiometry; variational principles
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Export to BibTeX |
EndNote


MDPI and ACS Style

Stern, J.M.; Nakano, F. Optimization Models for Reaction Networks: Information Divergence, Quadratic Programming and Kirchhoff’s Laws. Axioms 2014, 3, 109-118.

AMA Style

Stern JM, Nakano F. Optimization Models for Reaction Networks: Information Divergence, Quadratic Programming and Kirchhoff’s Laws. Axioms. 2014; 3(1):109-118.

Chicago/Turabian Style

Stern, Julio M.; Nakano, Fabio. 2014. "Optimization Models for Reaction Networks: Information Divergence, Quadratic Programming and Kirchhoff’s Laws." Axioms 3, no. 1: 109-118.


Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert