Sengupta Biswa, Laughlin Simon Barry, Niven Jeremy Edward
Wellcome Trust Centre for Neuroimaging, University College London, London, United Kingdom ; Centre for Neuroscience, Indian Institute of Science, Bangalore, India.
Department of Zoology, University of Cambridge, Cambridge, United Kingdom.
PLoS Comput Biol. 2014 Jan;10(1):e1003439. doi: 10.1371/journal.pcbi.1003439. Epub 2014 Jan 23.
Information is encoded in neural circuits using both graded and action potentials, converting between them within single neurons and successive processing layers. This conversion is accompanied by information loss and a drop in energy efficiency. We investigate the biophysical causes of this loss of information and efficiency by comparing spiking neuron models, containing stochastic voltage-gated Na(+) and K(+) channels, with generator potential and graded potential models lacking voltage-gated Na(+) channels. We identify three causes of information loss in the generator potential that are the by-product of action potential generation: (1) the voltage-gated Na(+) channels necessary for action potential generation increase intrinsic noise and (2) introduce non-linearities, and (3) the finite duration of the action potential creates a 'footprint' in the generator potential that obscures incoming signals. These three processes reduce information rates by ∼50% in generator potentials, to ∼3 times that of spike trains. Both generator potentials and graded potentials consume almost an order of magnitude less energy per second than spike trains. Because of the lower information rates of generator potentials they are substantially less energy efficient than graded potentials. However, both are an order of magnitude more efficient than spike trains due to the higher energy costs and low information content of spikes, emphasizing that there is a two-fold cost of converting analogue to digital; information loss and cost inflation.
信息通过分级电位和动作电位编码于神经回路中,在单个神经元及连续的处理层内实现二者之间的转换。这种转换伴随着信息损失和能量效率下降。我们通过比较含有随机电压门控钠通道和钾通道的发放神经元模型与缺乏电压门控钠通道的发生器电位和分级电位模型,来研究这种信息和效率损失的生物物理原因。我们确定了发生器电位中信息损失的三个原因,它们是动作电位产生的副产品:(1)动作电位产生所需的电压门控钠通道增加了内在噪声,(2)引入了非线性,(3)动作电位的有限持续时间在发生器电位中产生了一个“足迹”,掩盖了传入信号。这三个过程使发生器电位中的信息率降低了约50%,降至动作电位序列的约三倍。发生器电位和分级电位每秒消耗的能量都比动作电位序列少近一个数量级。由于发生器电位的信息率较低,它们的能量效率远低于分级电位。然而,由于动作电位的能量成本较高且信息含量较低,二者的效率都比动作电位序列高一个数量级,这强调了从模拟转换为数字存在双重成本;信息损失和成本增加。