Bistability in one equation or fewer.
Bistability in one equation or fewer.
复制标题
DOI：
10.1007/978-1-61779-833-7_4
复制
发表时间：
2012-01-01
期刊：
影响因子：
--
通讯作者：
Ferrell, James E Jr
中科院分区：
文献类型：
--
作者：
Anderson, Graham A;Liu, Xuedong;Ferrell, James E Jr
当多个基因或蛋白质作为网络的一部分调节彼此的活动时，它们有时会产生蛋白质无法单独完成的行为。对这些突发行为的直觉往往不能简单地通过网络谨慎地追踪因果关系来获得。具体来说，当网络包含反馈循环时，生物学家需要专门的工具来理解网络的行为及其必要条件。该分析基于常微分方程的数学。然而，我们将演示使用纯图形方法来确定实验数据的两种网络行为（双稳态和不可逆性）的合理性。我们使用非洲爪蟾卵母细胞成熟网络作为示例，并特别使用迭代稳定性分析，这是一种用于确定二维稳定性的图形工具。
When several genes or proteins modulate one another's activity as part of a network, they sometimes produce behaviors that no protein could accomplish on its own. Intuition for these emergent behaviors often cannot be obtained simply by tracing causality through the network in discreet steps. Specifically, when a network contains a feedback loop, biologists need specialized tools to understand the network's behaviors and their necessary conditions. This analysis is grounded in the mathematics of ordinary differential equations. We, however, will demonstrate the use of purely graphical methods to determine, for experimental data, the plausibility of two network behaviors, bistability and irreversibility. We use the Xenopus laevis oocyte maturation network as our example, and we make special use of iterative stability analysis, a graphical tool for determining stability in two dimensions.