Pigolotti Simone, Krishna Sandeep, Jensen Mogens H
Niels Bohr Institute and Niels Bohr International Academy, Blegdamsvej 17, DK-2100 Copenhagen, Denmark.
Phys Rev Lett. 2009 Feb 27;102(8):088701. doi: 10.1103/PhysRevLett.102.088701. Epub 2009 Feb 26.
We formulate general rules for a coarse graining of the dynamics, which we term "symbolic dynamics," of feedback networks with monotonic interactions, such as most biological modules. Networks which are more complex than simple cyclic structures can exhibit multiple different symbolic dynamics. Nevertheless, we show several examples where the symbolic dynamics is dominated by a single pattern that is very robust to changes in parameters and is consistent with the dynamics being dictated by a single feedback loop. Our analysis provides a method for extracting these dominant loops from short time series, even if they only show transient trajectories.
我们为具有单调相互作用的反馈网络（如大多数生物模块）的动力学粗粒化制定了一般规则，我们将其称为“符号动力学”。比简单循环结构更复杂的网络可以展现出多种不同的符号动力学。然而，我们展示了几个例子，其中符号动力学由单一模式主导，该模式对参数变化非常稳健，并且与由单个反馈回路支配的动力学一致。我们的分析提供了一种从短时间序列中提取这些主导回路的方法，即使它们只显示瞬态轨迹。
