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Nonlinear dynamics of microvascular blood flow.
1Chemical Engineering Department, University of New Hampshire, Durham 03824-3591, USA. rtc@cisunix.unh.edu
Annals of Biomedical Engineering
|September 13, 2000
Summary
This study models blood flow in small microvascular networks, revealing spontaneous oscillations are possible without biological control. These findings offer new interpretations of microcirculation dynamics.
Area of Science:
- Physiology
- Biophysics
- Computational Biology
Background:
- Previous research suggested spontaneous oscillations in large microvascular networks.
- The mechanisms driving these oscillations, particularly in smaller networks, remained unclear.
Purpose of the Study:
- To model blood flow in microvascular networks to demonstrate sustained spontaneous oscillations in small networks.
- To explore conditions leading to oscillations versus steady states.
- To provide alternative interpretations for microcirculation dynamics.
Main Methods:
- Developed a computational model of blood flow in microvascular networks.
- Incorporated the Fåhraeus-Lindqvist effect and plasma skimming, excluding biological controls.
- Solved coupled nonlinear partial differential equations using the method of characteristics.
Main Results:
- Demonstrated sustained spontaneous oscillations in networks with fewer than 15 vessel segments.
- Identified plasma skimming, the Fåhraeus-Lindqvist effect, and arcade topology as necessary for oscillations.
- Observed steady-state fixed points, limit cycle dynamics, and period doubling.
- Showed that oscillations can be sustained, damped, or absent depending on network parameters and vessel residence times.
Conclusions:
- Sustained spontaneous oscillations can occur in small microvascular networks without biological control.
- Network topology and specific flow effects (Fåhraeus-Lindqvist, plasma skimming) are critical for oscillatory behavior.
- The model provides a framework for understanding dynamic behaviors in the microcirculation.