Dawis S M
Biol Cybern. 1978 Sep 28;30(4):187-93. doi: 10.1007/BF00361040.
An "adaptation model" having two stages is introduced and its mathematical properties are examined. The two stages are the "adaptive process" (parameter Kb), which has bleaching-type kinetics, and the "response function" (parameters Kr and n), which incorporates response saturation. In order to study the increment threshold functions generated by the "adaptation model" the concept of a "detector" is required. It is demonstrated that without an adaptive process the compression hypothesis, in the form of the "difference equation", produces increment threshold functions which saturate and do not obey Weber's law. It is then shown that an adaptive process with bleaching-type kinetics can prevent saturation and produce Weber's law behavior provided that the "adaptive strength" of the system exceeds the "detector sensitivity".
引入了一个具有两个阶段的“适应模型”，并研究了其数学性质。这两个阶段分别是具有漂白型动力学的“自适应过程”（参数Kb）和包含响应饱和的“响应函数”（参数Kr和n）。为了研究由“适应模型”生成的增量阈值函数，需要“探测器”的概念。结果表明，在没有自适应过程的情况下，以“差分方程”形式表示的压缩假设会产生饱和且不服从韦伯定律的增量阈值函数。然后表明，只要系统的“自适应强度”超过“探测器灵敏度”，具有漂白型动力学的自适应过程就可以防止饱和并产生符合韦伯定律的行为。
