A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans.

نویسندگان

  • Yongwimon Lenbury
  • Pornsarp Pornsawad
چکیده

The present work develops and analyses a model system of delay-differential equations which describes the core dynamics of the stress-responsive hypothalamus-pituitary-adrenal axis. This neuroendocrine ensemble exhibits prominent pulsatile secretory patterns governed by nonlinear and time-delayed feedforward and feedback signal interchanges. Formulation and subsequent bifurcation analysis of the model provide a qualitative and mathematical frame work for a better understanding of the delayed responsive mechanisms as well as the dynamic variations in different pathological situations.

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عنوان ژورنال:
  • Mathematical medicine and biology : a journal of the IMA

دوره 22 1  شماره 

صفحات  -

تاریخ انتشار 2005