Algebraic tools in the study of Multistationarity of Chemical Reaction Networks

TY - BOOK

T1 - Algebraic tools in the study of Multistationarity of Chemical Reaction Networks

AU - Sadeghi Manesh, Amirhossein

PY - 2018

Y1 - 2018

N2 - 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).

AB - 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).

UR - https://rex.kb.dk/primo-explore/fulldisplay?docid=KGL01011955568&context=L&vid=NUI&search_scope=KGL&tab=default_tab&lang=da_DK

M3 - Ph.D. thesis

BT - Algebraic tools in the study of Multistationarity of Chemical Reaction Networks

PB - Department of Mathematical Sciences, Faculty of Science, University of Copenhagen

ER -