大蛋白质相互作用网络中复合物形成与解离的生成泛函分析
Generating functional analysis of complex formation and dissociation in large protein interaction networks
摘要：
我们分析相互作用的蛋白质的大系统，从无序多粒子系统的非平衡统计力学使用的技术。除了蛋白质的产生和去除，蛋白质组中最相关的微观过程是复合物的形成和解离，微观自由度是未结合蛋白质（处于多种翻译后状态）和蛋白质复合物的浓度变化。在这里，为了数学上的简单起见，我们只包括二聚体复合物，并且我们从具有任意度分布的随机图的集合中绘制描述哪些蛋白质是反应伙伴的网络。我们展示了如何生成泛函分析方法可以成功地用于推导封闭方程的动力学序参数，代表一个精确的宏观描述的复杂的形成和解离动力学的无限系统的限制。最后，我们讨论了可能的路线走向解决非平凡的序参数方程，无论是确切的（在特定的限制）或近似。
英文摘要：
We analyze large systems of interacting proteins, using techniques from the non-equilibrium statistical mechanics of disordered many-particle systems. Apart from protein production and removal, the most relevant microscopic processes in the proteome are complex formation and dissociation, and the microscopic degrees of freedom are the evolving concentrations of unbound proteins (in multiple post-translational states) and of protein complexes. Here we only include dimer-complexes, for mathematical simplicity, and we draw the network that describes which proteins are reaction partners from an ensemble of random graphs with an arbitrary degree distribution. We show how generating functional analysis methods can be used successfully to derive closed equations for dynamical order parameters, representing an exact macroscopic description of the complex formation and dissociation dynamics in the infinite system limit. We end this paper with a discussion of the possible routes towards solving the nontrivial order parameter equations, either exactly (in specific limits) or approximately.
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