Biochemical reaction systems – system theory and decomposition

• Autorzy: Nemcová J. , van Schuppen J. H.
• Języki publikacji: EN

Abstrakty

EN

Biochemical reaction networks may be modeled as biochemical reaction systems consisting of differential equations with rational functions. Biochemical reaction systems are defined as rational positive dynamic systems with inputs and outputs, and illustrated by examples. This formulation makes available the results from algebraic system theory for rational systems and a relation with computer algebra. It is shown how to decompose networks into subsystems and how to relate them to graphs. The realization problem for this class of systems is briefly discussed. Finally, control problems for biochemical reaction networks are formulated.

Słowa kluczowe

EN

biochemical reaction systems; rational systems; realization; decomposition; interconnection; algebra of positive real polynomials

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2013
• Tom: Vol. 42, no. 1
• Strony: 183--215
• Opis fizyczny: Bibliogr. 62 poz., il.

Twórcy

autor

Nemcová J.

• Department of Mathematics, Institute of Chemical Technology Prague, Techniká 5, 166 28 Prague 6, Czech Republic

autor

van Schuppen J. H.

• CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands

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