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Murray's Law in elastin haploinsufficient (Eln+/-) and wild-type (WT) mice
Bradley A Sather1, Daniel Hageman, Jessica E Wagenseil
1Department of Biomedical Engineering, Saint Louis University, Saint Louis, MO 63103, USA.
Journal of Biomechanical Engineering
|February 1, 2013
Summary
Murray's Law accurately predicts blood vessel diameters in mice lacking elastin (Eln+/-), similar to wild-type mice. This suggests vascular networks are optimized for Murray's Law despite genetic variations affecting elastin levels.
Area of Science:
- Biophysics
- Vascular Biology
- Physiology
Background:
- Murray's Law predicts branching vessel diameters based on energy or shear stress principles.
- This law has been validated across various cardiovascular systems.
- Elastin deficiency (Eln+/-) in mice may alter vessel structure and potentially affect Murray's Law adherence.
Purpose of the Study:
- To investigate the applicability of Murray's Law in mice with elastin haploinsufficiency (Eln+/-).
- To determine if genetic alterations in elastin affect the predicted diameters of branching blood vessels.
Main Methods:
- Examined vessel bifurcations in six physiological regions of Eln+/- and wild-type (WT) mice.
- Measured vessel diameters within the 40–300 μm range.
- Compared measured diameters against predictions from Murray's Law.
Main Results:
- Both Eln+/- and WT vessels showed an average 13% error from Murray's Law predictions.
- No significant differences in adherence to Murray's Law were observed between Eln+/- and WT mice.
- No significant differences were found across the six physiological regions studied.
Conclusions:
- Vascular networks in mice appear optimized to follow Murray's Law, even with reduced elastin.
- Elastin deficiency does not significantly disrupt the adherence of vessel diameters to Murray's Law.
- These findings highlight the robustness of Murray's Law in vascular structure.
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