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Complex and detailed balancing of chemical reaction networks revisited

Arjan van der Schaft, Shodhan Rao (UGent) and Bayu Jayawardhana
(2015) JOURNAL OF MATHEMATICAL CHEMISTRY. 53(6). p.1445-1458
Author
Organization
Abstract
The characterization of the notions of complex and detailed balancing for mass action kinetics chemical reaction networks is revisited from the perspective of algebraic graph theory, in particular Kirchhoff's Matrix Tree theorem for directed weighted graphs. This yields an elucidation of previously obtained results, in particular with respect to the Wegscheider conditions, and a new necessary and sufficient condition for complex balancing, which can be verified constructively.
Keywords
Reaction networks, Mass action kinetics, Complex balancing, Detailed balancing, Stability, Wegscheider conditions, DYNAMICS, SUFFICIENT CONDITIONS, MODEL-REDUCTION, STEADY-STATES, SYSTEMS

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MLA
van der Schaft, Arjan, et al. “Complex and Detailed Balancing of Chemical Reaction Networks Revisited.” JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 53, no. 6, 2015, pp. 1445–58, doi:10.1007/s10910-015-0498-2.
APA
van der Schaft, A., Rao, S., & Jayawardhana, B. (2015). Complex and detailed balancing of chemical reaction networks revisited. JOURNAL OF MATHEMATICAL CHEMISTRY, 53(6), 1445–1458. https://doi.org/10.1007/s10910-015-0498-2
Chicago author-date
Schaft, Arjan van der, Shodhan Rao, and Bayu Jayawardhana. 2015. “Complex and Detailed Balancing of Chemical Reaction Networks Revisited.” JOURNAL OF MATHEMATICAL CHEMISTRY 53 (6): 1445–58. https://doi.org/10.1007/s10910-015-0498-2.
Chicago author-date (all authors)
van der Schaft, Arjan, Shodhan Rao, and Bayu Jayawardhana. 2015. “Complex and Detailed Balancing of Chemical Reaction Networks Revisited.” JOURNAL OF MATHEMATICAL CHEMISTRY 53 (6): 1445–1458. doi:10.1007/s10910-015-0498-2.
Vancouver
1.
van der Schaft A, Rao S, Jayawardhana B. Complex and detailed balancing of chemical reaction networks revisited. JOURNAL OF MATHEMATICAL CHEMISTRY. 2015;53(6):1445–58.
IEEE
[1]
A. van der Schaft, S. Rao, and B. Jayawardhana, “Complex and detailed balancing of chemical reaction networks revisited,” JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 53, no. 6, pp. 1445–1458, 2015.
@article{6859014,
  abstract     = {{The characterization of the notions of complex and detailed balancing for mass action kinetics chemical reaction networks is revisited from the perspective of algebraic graph theory, in particular Kirchhoff's Matrix Tree theorem for directed weighted graphs. This yields an elucidation of previously obtained results, in particular with respect to the Wegscheider conditions, and a new necessary and sufficient condition for complex balancing, which can be verified constructively.}},
  author       = {{van der Schaft, Arjan and Rao, Shodhan and Jayawardhana, Bayu}},
  issn         = {{0259-9791}},
  journal      = {{JOURNAL OF MATHEMATICAL CHEMISTRY}},
  keywords     = {{Reaction networks,Mass action kinetics,Complex balancing,Detailed balancing,Stability,Wegscheider conditions,DYNAMICS,SUFFICIENT CONDITIONS,MODEL-REDUCTION,STEADY-STATES,SYSTEMS}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{1445--1458}},
  title        = {{Complex and detailed balancing of chemical reaction networks revisited}},
  url          = {{http://doi.org/10.1007/s10910-015-0498-2}},
  volume       = {{53}},
  year         = {{2015}},
}
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