Department of Physics, University of Michigan, Ann Arbor, Michigan, United States of America.
PLoS Comput Biol. 2011 May;7(5):e1002062. doi: 10.1371/journal.pcbi.1002062. Epub 2011 May 19.
Spatiotemporal pattern formation in neuronal networks depends on the interplay between cellular and network synchronization properties. The neuronal phase response curve (PRC) is an experimentally obtainable measure that characterizes the cellular response to small perturbations, and can serve as an indicator of cellular propensity for synchronization. Two broad classes of PRCs have been identified for neurons: Type I, in which small excitatory perturbations induce only advances in firing, and Type II, in which small excitatory perturbations can induce both advances and delays in firing. Interestingly, neuronal PRCs are usually attenuated with increased spiking frequency, and Type II PRCs typically exhibit a greater attenuation of the phase delay region than of the phase advance region. We found that this phenomenon arises from an interplay between the time constants of active ionic currents and the interspike interval. As a result, excitatory networks consisting of neurons with Type I PRCs responded very differently to frequency modulation compared to excitatory networks composed of neurons with Type II PRCs. Specifically, increased frequency induced a sharp decrease in synchrony of networks of Type II neurons, while frequency increases only minimally affected synchrony in networks of Type I neurons. These results are demonstrated in networks in which both types of neurons were modeled generically with the Morris-Lecar model, as well as in networks consisting of Hodgkin-Huxley-based model cortical pyramidal cells in which simulated effects of acetylcholine changed PRC type. These results are robust to different network structures, synaptic strengths and modes of driving neuronal activity, and they indicate that Type I and Type II excitatory networks may display two distinct modes of processing information.
神经元网络的时空模式形成取决于细胞和网络同步特性的相互作用。神经元相位反应曲线(PRC)是一种可实验获得的度量,用于描述细胞对小扰动的反应,可以作为细胞同步倾向的指标。已经确定了两种广泛的神经元 PRC 类型:I 型,其中小的兴奋性扰动只会引起放电提前;II 型,其中小的兴奋性扰动可以同时引起放电提前和延迟。有趣的是,神经元 PRC 通常随着放电频率的增加而减弱,并且 II 型 PRC 通常表现出相位延迟区域的衰减大于相位提前区域的衰减。我们发现,这种现象源于激活离子电流的时间常数和脉冲间隔之间的相互作用。结果,由具有 I 型 PRC 的神经元组成的兴奋性网络对频率调制的反应与由具有 II 型 PRC 的神经元组成的兴奋性网络非常不同。具体而言,频率增加会导致 II 型神经元网络的同步急剧下降,而频率增加对 I 型神经元网络的同步几乎没有影响。这些结果在使用 Morris-Lecar 模型对两种类型的神经元进行建模的网络中以及由 Hodgkin-Huxley 皮质锥体细胞组成的网络中得到了证明,在这些网络中,模拟乙酰胆碱的影响改变了 PRC 类型。这些结果对于不同的网络结构、突触强度和驱动神经元活动的模式都是稳健的,表明 I 型和 II 型兴奋性网络可能表现出两种不同的信息处理模式。