Mathematical Formulation of Stoichiometric Subspaces Associated with Chemical Reaction Networks: The Linear Algebraic Foundations and Fundamentals

Abstract

The article presents a consolidated review of the mathematical framework for construction of Stoichiometric subspaces associated with Chemical Reaction Networks, based on theoretically imposed constraints, mechanistic considerations and data driven mathematical modeling; A rigorous mathematical treatment of the problem is presented and is illustrated using an appropriate numerical case study example.