Algebraic tools in the study of Multistationarity of Chemical Reaction Networks
Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
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Algebraic tools in the study of Multistationarity of Chemical Reaction Networks. / Sadeghi Manesh, Amirhossein.
Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2018.Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
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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://soeg.kb.dk/permalink/45KBDK_KGL/fbp0ps/alma99122118150305763
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 -
ID: 210784817