Regions of multistationarity in cascades of Goldbeter–Koshland loops
Regions of multistationarity in cascades of Goldbeter–Koshland loops
复制标题
Goldbeter-Koshland 环级联中的多平稳性区域
DOI：
10.1007/s00285-018-1304-0
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发表时间：
2018
影响因子：
1.9
通讯作者：
A. Dickenstein
中科院分区：
文献类型：
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作者：
M. Giaroli;Frédéric Bihan;A. Dickenstein
我们考虑了具有任意数目n层的酶促Goldbeter-Koshland环的级联（Goldbeter和Koshland in Proc Natl Acad Sci 78（11）：6840-6844，1981），其中存在涉及相同磷酸酶的两层。即使变量的数目和守恒律的数目随n线性增长，我们也能在反应速率常数和总守恒常数空间中找到明确的区域，使相关的质量作用动力学动力学系统是多稳态的。我们的计算是基于我们的同伴论文（Bihan，Dickenstein和Giaroli 2018，预印本：arXiv：1807.05157）的理论结果，这些结果受到Bihan等人（SIAM J Appl Algebra Geom，2018）的真实的代数几何结果的启发。
We consider cascades of enzymatic Goldbeter–Koshland loops (Goldbeter and Koshland in Proc Natl Acad Sci 78(11):6840–6844, 1981) with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of variables and the number of conservation laws grow linearly with n, we find explicit regions in reaction rate constant and total conservation constant space for which the associated mass-action kinetics dynamical system is multistationary. Our computations are based on the theoretical results of our companion paper (Bihan, Dickenstein and Giaroli 2018, preprint: arXiv:1807.05157) which are inspired by results in real algebraic geometry by Bihan et al. (SIAM J Appl Algebra Geom, 2018).
DOI：
10.1073/pnas.78.11.6840
发表时间：
1981-01-01
期刊：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES
影响因子：
--
作者：
GOLDBETER, A;KOSHLAND, DE
通讯作者：
KOSHLAND, DE