Cooperative Assembly Systems
Several molecular systems form large-scale objects. One would like to understand their assembly and how this assembly is regulated. As a first step, we investigate the phase transition structure of a class of bipartite cooperative assembly systems. We characterize which of these systems have a (probabilistic) equilibrium and find an explicit form for their local energy (§2). We obtain, under additional limitations on cooperativity, the average dynamics of some partial observables (§4). Combining both steps, we obtain conditions for the phase transition to a large cluster (§5).
KeywordsRandom Graph Degree Distribution Reversible Rule Partial Observable Average Dynamic
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