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Updated: May 30, 2026

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Pavlovian Conditioned Approach Training in Rats
Published on: February 4, 2016
Response rate and reinforcement rate in Pavlovian conditioning
Justin A Harris1, Joanne S Carpenter
1School of Psychology, University of Sydney, New South Wales, Australia. justin.harris@sydney.edu.au
Summary
Rats trained with conditioned stimuli (CS) and unconditioned stimuli (US) showed that the rate of responding to a CS is directly related to the rate of US reinforcement. This relationship follows a hyperbolic function, indicating predictable patterns in animal learning.
Area of Science:
- Behavioral neuroscience
- Animal learning and behavior
- Psychology
Background:
- Investigating the quantitative relationships in associative learning is crucial for understanding conditioning mechanisms.
- Previous research has explored factors influencing response rates in animal models, but precise mathematical descriptions are still evolving.
Purpose of the Study:
- To examine the relationship between the rate of responding to a conditioned stimulus (CS) and the rate of reinforcement (US) in rats.
- To mathematically characterize the observed relationship using conditioning experiments.
Main Methods:
- Four experiments utilized delay conditioning of magazine approach behavior in rats.
- Rats were exposed to variable-duration CSs with differing reinforcement rates (r), manipulated via CS-US intervals or US probability.
- Response rate (R) and CS-US interval were systematically varied and measured.
Main Results:
- The rate of responding (R) was found to be systematically related to the rate of reinforcement (r).
- This relationship was accurately described by a hyperbolic function: R = Ar/(r +c).
- The reciprocal of these variables (response interval I and CS-US interval i) showed a linear transformation: I = mi+b.
Conclusions:
- Findings align with the Matching Law, suggesting predictable quantitative relationships in operant conditioning.
- The results provide empirical support for mathematical models of associative learning.
- The study offers insights relevant to both associative and non-associative theories of conditioning.
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