Journal of Computational Neuroscience

, Volume 7, Issue 3, pp 235–246

Computational Consequences of Temporally Asymmetric Learning Rules: I. Differential Hebbian Learning

  • Patrick D. Roberts

DOI: 10.1023/A:1008910918445

Cite this article as:
Roberts, P.D. J Comput Neurosci (1999) 7: 235. doi:10.1023/A:1008910918445


Temporally asymetric learning rules governing plastic changes in synaptic efficacy have recently been identified in physiological studies. In these rules, the exact timing of pre- and postsynaptic spikes is critical to the induced change of synaptic efficacy. The temporal learning rules treated in this article are approximately antisymmetric; the synaptic efficacy is enhanced if the postsynaptic spike follows the presynaptic spike by a few milliseconds, but the efficacy is depressed if the postsynaptic spike precedes the presynaptic spike. The learning dynamics of this rule are studied using a stochastic model neuron receiving a set of serially delayed inputs. The average change of synaptic efficacy due to the temporally antisymmetric learning rule is shown to yield differential Hebbian learning. These results are demonstrated with both mathematical analyses and computer simulations, and connections with theories of classical conditioning are discussed.

synaptic plasticity learning rule classical conditioning instability 

Copyright information

© Kluwer Academic Publishers 1999

Authors and Affiliations

  • Patrick D. Roberts
    • 1
  1. 1.Neurological Sciences InstitutePortland