Department of Mathematics, Virginia Commonwealth University, 1015 Floyd Avenue, Richmond, VA 23284-2014, USA.
J Biol Dyn. 2010 Mar;4(2):196-211. doi: 10.1080/17513750903144461.
A preceding study analysed how the topology of network motifs affects the overall rate of the underlying biochemical processes. Surprisingly, it was shown that topologically non-isomorphic motifs can still be isodynamic in the sense that they exhibit the exact same performance rate. Because of the high prevalence of feed-forward functional modules in biological networks, one may hypothesize that evolution tends to favour motifs with faster dynamics. As a step towards ranking the efficiency of feed-forward network motifs, we use a linear flow model to prove theorems establishing that certain classes of motifs are isodynamic. In partitioning the class of all motifs on n nodes into equivalence classes based upon their dynamics, we establish a basis for comparing the efficiency/performance rates of different motifs. The potential biological importance of the theorems is briefly discussed and is the subject of an ongoing large-scale project.
先前的研究分析了网络基元的拓扑结构如何影响基础生化过程的整体速率。令人惊讶的是，拓扑非同构的基元仍然可以在动力学意义上是等动力的，也就是说它们表现出完全相同的性能速率。由于前馈功能模块在生物网络中普遍存在，人们可能会假设进化倾向于有利于具有更快动力学的基元。作为对前馈网络基元效率进行排序的一个步骤，我们使用线性流模型来证明定理，这些定理证明了某些类别的基元是等动力的。在根据动力学将所有 n 个节点的基元类划分为等价类时，我们为比较不同基元的效率/性能速率建立了一个基础。这些定理的潜在生物学重要性将简要讨论，并将成为正在进行的大规模项目的主题。
