• Corpus ID: 235490140

Long time behavior of an age and leaky memory-structured neuronal population equation

  title={Long time behavior of an age and leaky memory-structured neuronal population equation},
  author={Claudia Fonte and Valentin Schmutz},
We study the asymptotic stability of a two-dimensional mean-field equation, which takes the form of a nonlocal transport equation and generalizes the time-elapsed neuron network model by the inclusion of a leaky memory variable. This additional variable can represent a slow fatigue mechanism, like spike frequency adaptation or short-term synaptic depression. Even though two-dimensional models are known to have emergent behaviors, like population bursts, which are not observed in standard one… 

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