Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks

Matthew England, Hassan Errami, Dima Grigoriev, Ovidiu Radulescu, Thomas Sturm, Andreas Weber

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

10 Citations (Scopus)
8 Downloads (Pure)

Abstract

We investigate models of the mitogenactivated protein kinases (MAPK) network, with the aim of determining where in parameter space there exist multiple positive steady states. We build on recent progress which combines various symbolic computation methods for mixed systems of equalities and inequalities. We demonstrate that those techniques benefit tremendously from a newly implemented graph theoretical symbolic preprocessing method. We compare computation times and quality of results of numerical continuation methods with our symbolic approach before and after the application of our preprocessing.
Original languageEnglish
Title of host publicationProceedings of the the 19th International Workshop on Computer Algebra in Scientific Computing
Subtitle of host publicationCASC '17
EditorsVladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov
PublisherSpringer
Pages93-108
Number of pages16
Edition1
ISBN (Electronic)978-3-319-66320-3
ISBN (Print)978-3-319-66319-7
DOIs
Publication statusPublished - 2017
Event19th International Workshop on Computer Algebra in Scientific Computing - Beijing, China
Duration: 18 Sep 201722 Sep 2017
http://www.casc.cs.uni-bonn.de/2017/

Conference

Conference19th International Workshop on Computer Algebra in Scientific Computing
Abbreviated titleCASC '17
CountryChina
CityBeijing
Period18/09/1722/09/17
Internet address

Bibliographical note

The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-66320-3


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    England, M., Errami, H., Grigoriev, D., Radulescu, O., Sturm, T., & Weber, A. (2017). Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks. In V. P. Gerdt, W. Koepf, W. M. Seiler, & E. V. Vorozhtsov (Eds.), Proceedings of the the 19th International Workshop on Computer Algebra in Scientific Computing: CASC '17 (1 ed., pp. 93-108). Springer. https://doi.org/10.1007/978-3-319-66320-3