Reactive inhibition

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Reactive inhibition is a phrase coined by Clark L. Hull (1951) in his postulate X.A.:
Whenever a reaction R is evoked from an organism there is left an increment of primary negative drive IR which inhibits to a degree according to its magnitude the reaction potential SER to that response (Hull, 1951, p. 74).
According to Hull's postulate X.B. inhibition I dissipates exponentially with time t:.:
With the passage of time since its formation IR spontaneously dissipates approximately as a simple decay function of the time t elapsed, i.e.,
I'_{R}=I_{R}x10^{{-at}} (Hull, 1951, p. 74).
Hull's decay formula is somewhat awkward and might give rise to confusion. For example, I'R does not refer to the derivative of IR. A more convenient way of writing the formula would be as follows:
I(t)=I(0)e^{{-bt}}

with b=a\ln(10). I(0) is the inhibition at the beginning the time interval [0,t]. Note, that if one takes the natural logarithm of both sides one obtains:

Y(t)=Y(0)-bt

where Y(t)=\ln I(t) and Y(0)=\ln I(0). The last formula is used in Inhibition Theory.

References

Hull, C.L.: Essentials of behavior. Westport (Connecticut): Greenwood Press, 1951.

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