Authors :
Debopam Ghosh
Volume/Issue :
Volume 9 - 2024, Issue 5 - May
Google Scholar :
https://tinyurl.com/5ev9ebd2
Scribd :
https://tinyurl.com/38uzwmc5
DOI :
https://doi.org/10.38124/ijisrt/IJISRT24MAY964
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
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.
Keywords :
Stoichiometric Matrix, Chemical Reaction Networks, Fundamental Subspaces of a Matrix, Stoichiometric Subspaces, Chemical Factor Analysis.
References :
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- Bjὂrnbom, P.H., The independent reactions in calculations of complex chemical equilibria, Ind. Engng Chem. Fundam. Vol 14, pp. 102-106 (1975)
- Bonvin, D., and Rippin, D.W.T., Target Factor Analysis for the Identification of Stoichiometric Models, Chemical Engineering Science, Vol 45, No. 12, pp. 3417-3426 (1990)
- Feinberg, Martin, Foundations of Chemical Reaction Network Theory, Springer Maarleveld, Timo R., Khandelwal, Ruchir A., Olivier, Brett G., Teusink, Bas, Bruggeman, Frank J., Basic concepts and principles of Stoichiometric modeling of metabolic networks, Biotechnology Journal, Vol 8(9), pp. 997-1008 (2013)
- Malinowski, Edmund. R., Factor Analysis in Chemistry, Third Edition, John Wiley and Sons Inc.
- Meyer, Carl. D., Matrix Analysis and Applied Linear Algebra, SIAM
- Nakhleh, Luay, Bioinformatics: Network Analysis-Analyzing Stoichiometric Matrices (Lecture Slides, Department of Computer Science, Rice University) (2013)
- Palsson, Bernhard, Representing Reconstructed Networks Mathematically: The Stoichiometric Matrix (Lecture Slides, Department of Bioengineering, University of California, San Diego) (2003)
- Rawlings, James. B., Stoichiometry of Chemical Reactions, (Lecture notes, Department of Chemical and Biological Engineering, University of Wisconsin-Madison) (2014)
- Rawlings, J. B., and Ekerdt, J. G., Chemical Reactor Analysis and Design Fundamentals, Second Edition, Nob Hill Publishing Strang, Gilbert, Linear Algebra and its Applications, Fourth Edition, Cengage Learning.
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.
Keywords :
Stoichiometric Matrix, Chemical Reaction Networks, Fundamental Subspaces of a Matrix, Stoichiometric Subspaces, Chemical Factor Analysis.