Before revision:  In this article, a new, general, mathematical framework to study the phenomenon of synaptic plasticity associated to STDP rules is introduced. A system composed of two neuronal cells connected by a single synapse is investigated and a stochastic process describing its dynamical behavior is presented and analyzed.
After revision:  In this article, a new, general, mathematical framework to study the phenomenon of synaptic plasticity associated to different STDP rules. The system composed of two neuronal cells connected by a single synapse is investigated and a stochastic process describing its dynamical behavior is presented and analyzed.