Symmetries of \(S\)-systems

DOI10.1016/0025-5564(92)90050-7zbMath0765.92003OpenAlexW2094558275WikidataQ44799339 ScholiaQ44799339MaRDI QIDQ1193121

Eberhard O. (Editor-in-Chief) Voit

Publication date: 27 September 1992

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(92)90050-7

zbMATH Keywords

boundary value problemsinitial value problemstransformation groups\(S\)-systemsfirst-order nonlinear differential equationsproducts of power-law functions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) General biology and biomathematics (92B05)

Related Items

Lotka-Volterra representation of general nonlinear systems ⋮ Biochemical systems theory: a review ⋮ Renormalization group approach to power-law modeling of complex metabolic networks ⋮ Recent developments in parameter estimation and structure identification of biochemical and genomic systems ⋮ Controllability of non-linear biochemical systems

Uses Software

• SPDE
• ESSYNS

Cites Work

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• S-system modelling of endemic infections
• Equivalence between S-systems and Volterra systems
• Analytical solutions to a generalized growth equation
• Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
• Growth equations: A general equation and a survey of special cases
• Evaluation of the Noncentral t Distribution with S-Systems
• Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-system Canonical Form
• Symmetries of Differential Equations: From Sophus Lie to Computer Algebra
• A Suprasystem of Probability Distributions
• Growth of complex systems can be related to the properties of their underlying determinants