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

APA

Jayawardhana, B., Rao, S., Sikkema, W., & Bakker, B. (2015). Handling Biological Complexity Using Kron Reduction. In K. Camlibel, A. Julius, R. Pasumarthy, & J. Scherpen (Eds.), Mathematical Control Theory I: Nonlinear and Hybrid Control Systems (pp. 73-94). Switzerland: Springer. https://doi.org/10.1007/978-3-319-20988-3_5

Author

Jayawardhana, Bayu ; Rao, Shodhan ; Sikkema, Ward ; Bakker, Barbara. / Handling Biological Complexity Using Kron Reduction. Mathematical Control Theory I: Nonlinear and Hybrid Control Systems. editor / Kanat Camlibel ; Agung Julius ; Ramkrishna Pasumarthy ; Jacquelien Scherpen. Switzerland : Springer, 2015. pp. 73-94

Harvard

Jayawardhana, B, Rao, S, Sikkema, W & Bakker, B 2015, Handling Biological Complexity Using Kron Reduction. in K Camlibel, A Julius, R Pasumarthy & J Scherpen (eds), Mathematical Control Theory I: Nonlinear and Hybrid Control Systems. Springer, Switzerland, pp. 73-94. https://doi.org/10.1007/978-3-319-20988-3_5

Standard

Handling Biological Complexity Using Kron Reduction. / Jayawardhana, Bayu; Rao, Shodhan; Sikkema, Ward; Bakker, Barbara.

Mathematical Control Theory I: Nonlinear and Hybrid Control Systems. ed. / Kanat Camlibel; Agung Julius; Ramkrishna Pasumarthy; Jacquelien Scherpen. Switzerland : Springer, 2015. p. 73-94.

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Vancouver

Jayawardhana B, Rao S, Sikkema W, Bakker B. Handling Biological Complexity Using Kron Reduction. In Camlibel K, Julius A, Pasumarthy R, Scherpen J, editors, Mathematical Control Theory I: Nonlinear and Hybrid Control Systems. Switzerland: Springer. 2015. p. 73-94 https://doi.org/10.1007/978-3-319-20988-3_5


BibTeX

@inbook{5524639d51b54aae8b860b2c2597d226,
title = "Handling Biological Complexity Using Kron Reduction",
abstract = "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.",
keywords = "Chemical Reaction Networks, Model Order Reduction, Systems Biology",
author = "Bayu Jayawardhana and Shodhan Rao and Ward Sikkema and Barbara Bakker",
year = "2015",
month = "7",
day = "1",
doi = "10.1007/978-3-319-20988-3_5",
language = "English",
isbn = "9783319209876",
pages = "73--94",
editor = "Kanat Camlibel and Agung Julius and Ramkrishna Pasumarthy and Jacquelien Scherpen",
booktitle = "Mathematical Control Theory I",
publisher = "Springer",

}

RIS

TY - CHAP

T1 - Handling Biological Complexity Using Kron Reduction

AU - Jayawardhana, Bayu

AU - Rao, Shodhan

AU - Sikkema, Ward

AU - Bakker, Barbara

PY - 2015/7/1

Y1 - 2015/7/1

N2 - 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.

AB - 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.

KW - Chemical Reaction Networks

KW - Model Order Reduction

KW - Systems Biology

UR - http://dx.doi.org/10.1007/978-3-319-20988-3_5

U2 - 10.1007/978-3-319-20988-3_5

DO - 10.1007/978-3-319-20988-3_5

M3 - Chapter

SN - 9783319209876

SP - 73

EP - 94

BT - Mathematical Control Theory I

A2 - Camlibel, Kanat

A2 - Julius, Agung

A2 - Pasumarthy, Ramkrishna

A2 - Scherpen, Jacquelien

PB - Springer

CY - Switzerland

ER -

ID: 22537539