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Modeling pulsativity in the hypothalamic-pituitary-adrenal hormonal axis
Alexander N Churilov1, John G Milton2
1Faculty of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia.
A new mathematical model reveals pulsatile control in the hypothalamic-pituitary-adrenal (HPA) axis. This model explains biological rhythms and ultradian oscillations, suggesting pulse modulation principles are key to understanding the HPA axis.
Area of Science:
- Endocrinology
- Mathematical Biology
- Systems Biology
Background:
- The hypothalamic-pituitary-adrenal (HPA) axis regulates stress response and exhibits complex biological rhythms.
- Existing models often simplify or omit pulsatile dynamics and time delays inherent in hormonal signaling.
Purpose of the Study:
- To develop a novel mathematical model for HPA axis biological rhythms.
- To investigate the role of pulsatile adrenocorticotropin (ACTH) release and time delays in HPA axis function.
Main Methods:
- A system of impulsive time-delay differential equations was formulated.
- Numerical simulations were performed to analyze model responses to hypothalamic inputs.
Main Results:
- The model accurately replicates HPA axis responses to circadian and periodic inputs, consistent with previous models.
- Oscillatory phenomena were observed even with zero time delay, indicating pulsatility's primary role.
- The model accounts for ultradian oscillations in the pituitary gland.
Conclusions:
- Adrenal gland effects appear downstream of the pulsatility origin.
- Pulse modulated control principles are crucial for understanding HPA axis dynamics.
- The developed model offers new insights into the mechanisms governing biological rhythms within the HPA axis.
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