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On the numerical solution of the general kinetic ``\(K\)-angle reaction system

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Publication:282184
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DOI10.1007/s10910-016-0592-0zbMath1356.92099OpenAlexW2232653848MaRDI QIDQ282184

Nikolay Kyurkchiev, Svetoslav M. Markov

Publication date: 12 May 2016

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-016-0592-0

zbMATH Keywords

\(K\)-angle reactioneigenvalues of characteristic equationsWeierstrass and Le Verrier methods


Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20)


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The two-step exponential decay reaction network: analysis of the solutions and relation to epidemiological SIR models with logistic and Gompertz type infection contact patterns, A new extension to the controlled metric type spaces endowed with a graph, K-angle


Uses Software

  • Mathematica
  • Matlab
  • Excel
  • COPASI
  • ENZPACK
  • SigrafW


Cites Work

  • Simple algebraic solutions to the kinetic problems of triangle, quadrangle and pentangle reactions
  • Oscillations in non-mass action kinetics models of biochemical reaction networks arising from pairs of subnetworks
  • Matrix and convolution methods in chemical kinetics
  • A note on the Le Verrier-Fadeev's method
  • Metabolic rate constants: some computational aspects
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