Dickenstein, Alicia Families of polynomials in the study of biochemical reaction networks. (English) Zbl 1493.92021 Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 1-5 (2021). MSC: 92C45 92C42 13P25 PDFBibTeX XMLCite \textit{A. Dickenstein}, Lect. Notes Comput. Sci. 12865, 1--5 (2021; Zbl 1493.92021) Full Text: DOI
Bihan, Frédéric; Dickenstein, Alicia; Giaroli, Magalí Sign conditions for the existence of at least one positive solution of a sparse polynomial system. (English) Zbl 1456.13019 Adv. Math. 375, Article ID 107412, 28 p. (2020). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13P15 14P05 PDFBibTeX XMLCite \textit{F. Bihan} et al., Adv. Math. 375, Article ID 107412, 28 p. (2020; Zbl 1456.13019) Full Text: DOI arXiv
Bihan, Frédéric; Dickenstein, Alicia; Giaroli, Magalí Lower bounds for positive roots and regions of multistationarity in chemical reaction networks. (English) Zbl 1453.92120 J. Algebra 542, 367-411 (2020). MSC: 92C45 92C40 14P25 92E20 PDFBibTeX XMLCite \textit{F. Bihan} et al., J. Algebra 542, 367--411 (2020; Zbl 1453.92120) Full Text: DOI arXiv
Giaroli, Magalí; Rischter, Rick; Millán, Mercedes P.; Dickenstein, Alicia Parameter regions that give rise to \(2\lfloor \frac{n}{2} \rfloor +1\) positive steady states in the \(n\)-site phosphorylation system. (English) Zbl 1467.92075 Math. Biosci. Eng. 16, No. 6, 7589-7615 (2019). MSC: 92C40 PDFBibTeX XMLCite \textit{M. Giaroli} et al., Math. Biosci. Eng. 16, No. 6, 7589--7615 (2019; Zbl 1467.92075) Full Text: DOI arXiv
Dickenstein, Alicia Algebra and geometry in the study of enzymatic cascades. (English) Zbl 1436.13058 Araujo, Carolina (ed.) et al., World women in mathematics 2018. Proceedings of the first world meeting for women in mathematics (WM)\({}^2\), a satellite conference of ICM, Rio de Janeiro, Brazil, July 31, 2018. Dedicated to the memory of Maryam Mirzakhani. Cham: Springer. Assoc. Women Math. Ser. 20, 57-81 (2019). MSC: 13P25 92-08 92E10 92C40 PDFBibTeX XMLCite \textit{A. Dickenstein}, Assoc. Women Math. Ser. 20, 57--81 (2019; Zbl 1436.13058) Full Text: DOI
Dickenstein, Alicia; Millán, Mercedes Pérez; Shiu, Anne; Tang, Xiaoxian Multistationarity in structured reaction networks. (English) Zbl 1415.92083 Bull. Math. Biol. 81, No. 5, 1527-1581 (2019). MSC: 92C42 92C45 PDFBibTeX XMLCite \textit{A. Dickenstein} et al., Bull. Math. Biol. 81, No. 5, 1527--1581 (2019; Zbl 1415.92083) Full Text: DOI arXiv Link
Giaroli, Magalí; Bihan, Frédéric; Dickenstein, Alicia Regions of multistationarity in cascades of Goldbeter-Koshland loops. (English) Zbl 1409.92103 J. Math. Biol. 78, No. 4, 1115-1145 (2019). MSC: 92C45 92C42 PDFBibTeX XMLCite \textit{M. Giaroli} et al., J. Math. Biol. 78, No. 4, 1115--1145 (2019; Zbl 1409.92103) Full Text: DOI arXiv