Analytical Calculation of Errors in Time and Value Perception Due to a Subjective Time Accumulator: A Mechanistic Model and the Generation of Weber's Law.
Analytical Calculation of Errors in Time and Value Perception Due to a Subjective Time Accumulator: A Mechanistic Model and the Generation of Weber's Law.
复制标题
主观时间累加器造成的时间和价值感知误差的分析计算：机械模型和韦伯定律的生成。
DOI：
10.1162/neco_a_00792
复制
发表时间：
2016
影响因子：
2.9
通讯作者：
HussainShuler,MarshallG
中科院分区：
文献类型：
--
作者：
Namboodiri,VijayMohanK;Mihalas,Stefan;HussainShuler,MarshallG
之前已经表明（Namboodiri、Mihalas、Marton 和 Hussain Shuler），决策和时间感知的进化理论能够解释大量的行为观察，涉及人类和动物如何在不同程度的不同延迟奖励之间做出决定以及他们如何感知时间。使用随机漂移扩散累加器模型（Namboodiri、Mihalas 和 Hussain Shuler）对该理论的实现表明，对于一系列参数，时间感知和决策中的错误大致遵循韦伯定律。然而，之前的计算并没有明确的机制基础。此外，这些计算只是近似值，参数范围有限。在这封信中，我们提供了此类累加器模型的完整分析处理以及机械实现，以计算整个参数空间的这些误差的表达式。在我们的机械模型中，韦伯定律是由累加器反馈突触内的突触促进和抑制产生的。我们的理论还预测，时间贴现的陡度可能会受到时间间隔精确计时的影响。因此，通过提出精确的定量计算，这项工作为未来的实验测试提供了可证伪的预测。
It has been previously shown (Namboodiri, Mihalas, Marton, & Hussain Shuler, ) that an evolutionary theory of decision making and time perception is capable of explaining numerous behavioral observations regarding how humans and animals decide between differently delayed rewards of differing magnitudes and how they perceive time. An implementation of this theory using a stochastic drift-diffusion accumulator model (Namboodiri, Mihalas, & Hussain Shuler, ) showed that errors in time perception and decision making approximately obey Weber’s law for a range of parameters. However, prior calculations did not have a clear mechanistic underpinning. Further, these calculations were only approximate, with the range of parameters being limited. In this letter, we provide a full analytical treatment of such an accumulator model, along with a mechanistic implementation, to calculate the expression of these errors for the entirety of the parameter space. In our mechanistic model, Weber’s law results from synaptic facilitation and depression within the feedback synapses of the accumulator. Our theory also makes the prediction that the steepness of temporal discounting can be affected by requiring the precise timing of temporal intervals. Thus, by presenting exact quantitative calculations, this work provides falsifiable predictions for future experimental testing.