Forskning ved Københavns Universitet - Københavns Universitet

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Algebraic tools in the study of Multistationarity of Chemical Reaction Networks

Publikation: Bog/antologi/afhandling/rapportPh.d.-afhandlingForskning

  • Amirhossein Sadeghi Manesh
This thesis consists of three articles:

In the first article, we studied how Gröbner bases and binomiality of the steady state ideal behave with respect to the addition or removal of intermediate species to a reaction network. This work is currently submitted, and available on arXiv: Sadeghimanesh and Feliu (2018a).

After gaining a knowledge about binomiality of networks with intermediates in the first article, the second article studies multistationarity of reaction networks with intermediates and that have a core binomial network. This work is also submitted, and available on arXiv: Sadeghimanesh and Feliu (2018b).

The last work concerns the use of Kac-Rice formulas to study and divide the parameter region of a reaction network according to the number of steady states. A nice implication of this work is the denition of a measure of robustness for multistationarity. A preliminary draft of this work is presented here, Sadeghimanesh and Feliu (2018c).
OriginalsprogEngelsk
ForlagDepartment of Mathematical Sciences, Faculty of Science, University of Copenhagen
StatusUdgivet - 2018

ID: 210784817