Nadler W, Stein D L
Institut für Theoretische Chemie, Universität Tübingen, Federal Rebublic of Germany.
Proc Natl Acad Sci U S A. 1991 Aug 1;88(15):6750-4. doi: 10.1073/pnas.88.15.6750.
We discuss the generic time behavior of reaction-diffusion processes capable of modeling various types of biological transport processes, such as ligand migration in proteins and gating fluctuations in ion channel proteins. The main observable in these two cases, the fraction of unbound ligands and the probability of finding the channel in the closed state, respectively, exhibits an algebraic t-1/2 decay at intermediate times, followed by an exponential cutoff. We provide a simple framework for understanding these observations and explain their ubiquity by showing that these qualitative results are independent of space dimension. We also derive an experimental criterion to distinguish between a one-dimensional process and one whose effective dimension is higher.
我们讨论了反应扩散过程的一般时间行为,该过程能够对各种类型的生物传输过程进行建模,例如蛋白质中配体的迁移以及离子通道蛋白中的门控波动。在这两种情况下,主要的可观测值,即未结合配体的比例和通道处于关闭状态的概率,在中间时间分别呈现出代数t^(-1/2)衰减,随后是指数截断。我们提供了一个简单的框架来理解这些观测结果,并通过表明这些定性结果与空间维度无关来解释它们的普遍性。我们还推导了一个实验标准,以区分一维过程和有效维度更高的过程。