Goldbeter-Koshland环级联的多稳态区
Regions of multistationarity in cascades of Goldbeter-Koshland loops
摘要：
我们认为级联的酶Goldbeter-Koshland循环与任何数量n层，其中存在两层涉及相同的磷酸酶。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相关的质量作用动力学动力学系统是多稳态的明确区域。我们的计算是基于arXiv：1807.05157中我们的同伴论文的理论结果，这些结果受到Bihan，Santos和Spaenlehauer在实代数几何中的结果的启发。
英文摘要：
We consider cascades of enzymatic Goldbeter-Koshland loops 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 in arXiv:1807.05157, which are inspired by results in real algebraic geometry by Bihan, Santos and Spaenlehauer.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
