Related Experiment Videos
Modelling fluctuation phenomena in the plasma cortisol secretion system in normal man
1Department of Mathematics, Faculty of Science, Mahidol University, Bangkok, Thailand.
Bio Systems
|January 1, 1991
Summary
This study proposes a mathematical model for cortisol secretion, revealing complex dynamics like bifurcation and chaos. These findings help explain observed clinical fluctuations in the self-regulating system.
Area of Science:
- Endocrinology
- Mathematical Biology
- Non-linear Dynamics
Background:
- Cortisol secretion is a complex, self-regulating biological process.
- Clinical data show significant fluctuations in cortisol levels.
- Understanding these dynamics is crucial for diagnosing and treating related disorders.
Purpose of the Study:
- To develop a mathematical model for the cortisol secretion system.
- To investigate the dynamic behaviors, including bifurcation and chaos, within this system.
- To correlate model predictions with observed clinical patterns.
Main Methods:
- A system of three non-linear differential equations with exponential feedback terms was formulated.
- The model's behavior was analyzed across a range of parametric values.
- Simulations were used to identify bifurcation and chaos patterns.
Main Results:
- The proposed model successfully replicates self-regulating cortisol secretion dynamics.
- Bifurcation and chaos patterns were observed for specific parameter ranges.
- The model provides a framework for understanding complex hormonal fluctuations.
Conclusions:
- The mathematical model offers insights into the self-regulation of cortisol secretion.
- Observed chaotic and bifurcation patterns can explain clinical data variability.
- This approach aids in characterizing the dynamic behaviors of endocrine systems.