论文标题
在大脑中观察到的缩放关系的次采样定向模型解释了缩放关系
Subsampled directed-percolation models explain scaling relations experimentally observed in the brain
论文作者
论文摘要
在尿氨酸 - 麻醉大鼠皮层中测得的尖峰雪崩的最新实验结果显示了缩放关系,表明在特定水平的皮质发射速率变异性水平上进行了相变。缩放关系指向关键指数,其价值与分支过程的价值不同,这是用于理解大脑临界性的规范模型。这表明可能需要使用不同的相变的不同模型来解释数据。在这里,我们证明不一定是这种情况。通过使用与分支过程(平均场定向渗透率)属于相同通用类别的两个不同模型,并像实验数据一样处理仿真数据,我们将重现大多数实验结果。我们发现,对模型进行亚采样并调整用于定义雪崩的时间bin(与实验数据一样)是足够的成分,可以更改临界点的明显指数。此外,实验数据仅在相变周围的参数空间非常狭窄的范围内复制。
Recent experimental results on spike avalanches measured in the urethane-anesthetized rat cortex have revealed scaling relations that indicate a phase transition at a specific level of cortical firing rate variability. The scaling relations point to critical exponents whose values differ from those of a branching process, which has been the canonical model employed to understand brain criticality. This suggested that a different model, with a different phase transition, might be required to explain the data. Here we show that this is not necessarily the case. By employing two different models belonging to the same universality class as the branching process (mean-field directed percolation) and treating the simulation data exactly like experimental data, we reproduce most of the experimental results. We find that subsampling the model and adjusting the time bin used to define avalanches (as done with experimental data) are sufficient ingredients to change the apparent exponents of the critical point. Moreover, experimental data is only reproduced within a very narrow range in parameter space around the phase transition.