Journal of Computational Neuroscience

, Volume 38, Issue 2, pp 301–313 | Cite as

A model of multisecond timing behaviour under peak-interval procedures

  • Takayuki Hasegawa
  • Shogo Sakata


In this study, the authors developed a fundamental theory of interval timing behaviour, inspired by the learning-to-time (LeT) model and the scalar expectancy theory (SET) model, and based on quantitative analyses of such timing behaviour. Our experiments used the peak-interval procedure with rats. The proposed model of timing behaviour comprises clocks, a regulator, a mixer, a response, and memory. Using our model, we calculated the basic clock speeds indicated by the subjects’ behaviour under such peak procedures. In this model, the scalar property can be defined as a kind of transposition, which can then be measured quantitatively. The Akaike information criterion (AIC) values indicated that the current model fit the data slightly better than did the SET model. Our model may therefore provide a useful addition to SET for the analysis of timing behaviour.


Akaike information criterion Basic clock speed Learning-to-time model Peak procedure Scalar property Scalar expectancy theory 



The authors wish to thank Hiromi Ohtake, Ryo Kobayashi, and Hiroshi Tango for their comments regarding the mathematics, Ken’ichiro Shimatani for his comments regarding the statistics, Simon Fraser and Anne Macaskill for their comments regarding written English, and Asako Ujita for her assistance with the experiment. The authors also thank Takayuki Sakagami and Peter Killeen for their valuable advice about behavioural sciences.

Conflict of interests

The authors declare that they have no conflict of interest


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Faculty of Liberal Arts and SciencesNational Institute of Technology, Toyama College, Hongo CampusToyama-shiJapan
  2. 2.System Emotional Science, Graduate School of Medicine and Pharmaceutical ScienceUniversity of ToyamaToyamaJapan
  3. 3.Department of Behavioral Sciences, Graduate School of Integrated Arts and SciencesHiroshima UniversityHigashi-hiroshima-shi,Japan

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