Algebraic Systems Biology: A Case Study for the Wnt Pathway.
Algebraic Systems Biology: A Case Study for the Wnt Pathway.
复制标题
代数系统生物学：Wnt 通路的案例研究。
DOI：
10.1007/s11538-015-0125-1
复制
发表时间：
2016
影响因子：
3.5
通讯作者：
Gross E
中科院分区：
文献类型：
--
作者：
Gross E
生物网络动力系统的稳态分析产生了高维空间中的代数簇，其研究本身就很有趣。我们证明了这一点的Wnt信号通路的穿梭模型。在这里，品种是由一个多项式系统在19个未知数和36个参数。它在参数空间上的次数为9。本案例研究探讨了多平稳性，模型比较，动态区域内的状态空间，可识别性和参数估计，从几何的角度来看。我们采用当前的方法，从计算代数几何，多面体几何，组合。
Steady-state analysis of dynamical systems for biological networks gives rise to algebraic varieties in high-dimensional spaces whose study is of interest in their own right. We demonstrate this for the shuttle model of the Wnt signaling pathway. Here, the variety is described by a polynomial system in 19 unknowns and 36 parameters. It has degree 9 over the parameter space. This case study explores multistationarity, model comparison, dynamics within regions of the state space, identifiability, and parameter estimation, from a geometric point of view. We employ current methods from computational algebraic geometry, polyhedral geometry, and combinatorics.