生长肌动蛋白网络的自催化和零级分支模型的统一
Unifying autocatalytic and zeroth order branching models for growing actin networks
摘要：
肌动蛋白网络的定向聚合是包括细胞迁移在内的许多生物过程的基本要素。不同的理论模型考虑到聚合，封端和支化的基本过程之间的相互作用，导致相互矛盾的预测。这种差异的主要原因之一是假设分支反应是一级（自催化）或零级的现有细丝的数量。在这里，我们介绍了一个统一的框架，从两个既定的情况下出现的限制情况下，低和高灯丝数。在中间条件下，发现两种情况之间的平滑过渡。我们还推导出一个阈值的封盖率，高于该自催化生长预测在足够低的细丝数。低于阈值，零阶特性预测占主导地位的动态网络的所有可访问的细丝数量。总之，这允许细胞在大范围的不同条件下生长稳定的肌动蛋白网络。
英文摘要：
The directed polymerization of actin networks is an essential element of many biological processes, including cell migration. Different theoretical models considering the interplay between the underlying processes of polymerization, capping and branching have resulted in conflicting predictions. One of the main reasons for this discrepancy is the assumption of a branching reaction that is either first order (autocatalytic) or zeroth order in the number of existing filaments. Here we introduce a unifying framework from which the two established scenarios emerge as limiting cases for low and high filament number. A smooth transition between the two cases is found at intermediate conditions. We also derive a threshold for the capping rate, above which autocatalytic growth is predicted at sufficiently low filament number. Below the threshold, zeroth order characteristics are predicted to dominate the dynamics of the network for all accessible filament numbers. Together, this allows cells to grow stable actin networks over a large range of different conditions.
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