Handling Biological Complexity Using Kron ReductionJayawardhana, 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 proceeding › Chapter › Academic
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.
|Title of host publication||Mathematical Control Theory I|
|Subtitle of host publication||Nonlinear and Hybrid Control Systems|
|Editors||Kanat Camlibel, Agung Julius, Ramkrishna Pasumarthy, Jacquelien Scherpen|
|Place of Publication||Switzerland|
|Number of pages||22|
|Publication status||Published - 1-Jul-2015|
- Chemical Reaction Networks, Model Order Reduction, Systems Biology