An integrate-and-fire model for pulsatility in the neuroendocrine system

Alexander N. Churilov, John Milton, Elvira R. Salakhova

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A model for pulsatility in neuroendocrine regulation is proposed which combines Goodwin-type feedback control with impulsive input from neurons located in the hypothalamus. The impulsive neural input is modeled using an integrate-and-fire mechanism; namely, inputs are generated only when the membrane potential crosses a threshold, after which it is reset to baseline. The resultant model takes the form of a functional-differential equation with continuous and impulsive components. Despite the impulsive nature of the inputs, realistic hormone profiles are generated, including ultradian and circadian rhythms, pulsatile secretory patterns, and even chaotic dynamics.
Translated title of the contributionМодель "интегрировать-и-сработать" для импульсации в нейроэндокринной системе
Original languageEnglish
Pages (from-to)083132-083144
Issue number8
StateE-pub ahead of print - 14 Aug 2020

Scopus subject areas

  • Mathematics(all)


  • impulsive systems
  • oscillations
  • Neuroendocrinology


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