Publication

Handling Biological Complexity Using Kron Reduction

Jayawardhana, B., Rao, S., Sikkema, W. & Bakker, B., 1-Jul-2015, Mathematical Control Theory I: Nonlinear and Hybrid Control Systems. Camlibel, K., Julius, A., Pasumarthy, R. & Scherpen, J. (eds.). Switzerland: Springer, p. 73-94 22 p.

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

We revisit a model reduction method for detailed-balanced chemical reaction networks based on Kron reduction on the graph of complexes. The resulting reduced model preserves a number of important properties of the original model, such as, the kinetics law and identity of the chemical species. For determining the set of chemical complexes for the deletion, we propose two alternative methods to the computation of error integral which requires numerical integration of the state equations. The first one is based on the spectral clustering method and the second one is based on the eigenvalue interlacing property of Kron reduction on the graph. The efficacy of the proposed methods is evaluated on two biological models.
Original languageEnglish
Title of host publicationMathematical Control Theory I
Subtitle of host publicationNonlinear and Hybrid Control Systems
EditorsKanat Camlibel, Agung Julius, Ramkrishna Pasumarthy, Jacquelien Scherpen
Place of PublicationSwitzerland
PublisherSpringer
Pages73-94
Number of pages22
ISBN (Print)9783319209876
Publication statusPublished - 1-Jul-2015

    Keywords

  • Chemical Reaction Networks, Model Order Reduction, Systems Biology

ID: 22537539