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 proceedingpeer-review

    14 Citations (Scopus)
    42 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 Sept 201722 Sept 2017
    http://www.casc.cs.uni-bonn.de/2017/

    Conference

    Conference19th International Workshop on Computer Algebra in Scientific Computing
    Abbreviated titleCASC '17
    Country/TerritoryChina
    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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