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Complex dynamics in a fractional order nephron pressure and flow regulation model
Karthikeyan Rajagopal1, Anitha Karthikeyan2
1Centre for Nonlinear Systems, Chennai Institute of Technology, India.
Bio Systems
|June 17, 2023
Summary
This study introduces a fractional order model of kidney autoregulation, revealing complex dynamics like chaos and multistability. These findings offer insights into blood pressure regulation and cardiovascular disease mechanisms.
Area of Science:
- Physiology
- Nonlinear Dynamics
- Biophysics
Background:
- Cardiovascular diseases are linked to irregular blood pressure.
- Kidney function is crucial for blood pressure regulation.
- Kidney autoregulation involves complex oscillatory mechanisms.
Purpose of the Study:
- To derive a fractional order model for nephron autoregulation.
- To analyze the complex dynamical behaviors of the autoregulation model.
- To investigate collective behaviors in networks of nephron models.
Main Methods:
- Utilized established physiological knowledge and prior autoregulation models.
- Employed bifurcation plots to analyze model dynamics.
- Simulated lattice and ring network arrays to study collective behavior.
Main Results:
- The model exhibits periodic oscillations, chaotic regions, and multistability.
- Network simulations revealed the presence of chimeras.
- Basins of synchronization were derived, characterizing network coherence.
Conclusions:
- The fractional order nephron autoregulation model captures complex dynamics.
- Findings provide insights into kidney's role in blood pressure control.
- The study highlights potential links between nephron dynamics and cardiovascular health.
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