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An integrate-and-fire model for pulsatility in the neuroendocrine system.
Alexander N Churilov1, John Milton2, Elvira R Salakhova1
1Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetsky av. 28, Stary Peterhof, 198504 St. Petersburg, Russia.
Chaos (Woodbury, N.Y.)
|September 3, 2020
Summary
This study introduces a new model for neuroendocrine regulation, combining feedback control with neuron firing mechanisms. The model successfully generates realistic hormone profiles, including complex rhythms and pulsatile patterns.
Area of Science:
- Neuroendocrinology
- Computational Neuroscience
- Systems Biology
Background:
- Neuroendocrine regulation involves complex feedback loops and neural signaling.
- Understanding pulsatility is crucial for explaining hormone level dynamics.
- Existing models may not fully capture the impact of neural impulse dynamics.
Purpose of the Study:
- To develop a novel mathematical model for pulsatility in neuroendocrine regulation.
- To integrate Goodwin-type feedback control with an integrate-and-fire neural input mechanism.
- To analyze the emergent hormone profiles generated by this combined model.
Main Methods:
- Developed a functional-differential equation model incorporating continuous and impulsive components.
- Modeled hypothalamic neuronal input using an integrate-and-fire mechanism.
- Simulated the model to observe hormone secretion patterns.
Main Results:
- The model generates realistic hormone profiles, including ultradian and circadian rhythms.
- Pulsatile secretory patterns characteristic of neuroendocrine function were observed.
- The model also demonstrated the potential for chaotic dynamics under certain conditions.
Conclusions:
- The proposed model effectively captures pulsatility in neuroendocrine regulation.
- Impulsive neural inputs play a significant role in generating complex hormone dynamics.
- This framework offers new insights into the mechanisms underlying hormone secretion patterns.
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