ISSN 0439-755X
CN 11-1911/B
主办:中国心理学会
   中国科学院心理研究所
出版:科学出版社

心理学报 ›› 1996, Vol. 28 ›› Issue (4): 419-424.

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韦伯比的拟合公式

陈文熙   

  1. 山西矿业学院
  • 发布日期:1996-12-25 出版日期:1996-12-25
  • 通讯作者: 陈文熙

AN ANALYTICAL EXPRESSION OF WEBER RATIO

Chen Wenxi;(Shanxi Mining Institute,Taiyua,030024)   

  • Online:1996-12-25 Published:1996-12-25

摘要: 本文以神经生理学为基础,结合感官具有调节和比较两功能的实用性,建立起刺激在大脑皮层上引起感知效应E的数学模型:E=Blog(1+kI),其中k=I ̄(-b)/a。从此出发,可推出中等以上刺激的差别阈判据:△EM=恒量。将此判据推广到弱刺激,即得到差别阈的普适规律:△I/(I+aI ̄b)=N,亦即韦伯定律的修订公式。从弱到强的广大刺激范围内,它都能与实验数据拟合良好。

关键词: 韦伯比, 差别阈, 数学模型

Abstract: The present paper begins with constructing a mathematical model for cortex effect E caused by stimulus code along the afferent channel.The model E=Blog(1+kI),k=I ̄(-b)/a in terms of stimulus intensity I is based on neurophysiological experiments and the practicality of receptor functions acquired in the long run of evolution.Accordingly, the criterion of difference limen for moderate stimuli has been shown to be △E=constant, which, being generaized to weak stimuli,leads to a resonable extension of Weber's law:△I/(I+aI ̄b)=constant N,which is valid to weak and strong stimuli. Thus the old problem over a hundred years ago concerning extend of the validity of Weber’s law to include weak stimuli seems to be more or less settled.

Key words: Weber ratio, difference limen, mathematical model