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Am J Physiol Heart Circ Physiol (July 3, 2003). doi:10.1152/ajpheart.00248.2003
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Submitted on March 20, 2003
Accepted on July 1, 2003

ELASTICITY OF PASSIVE BLOOD VESSELS: A NEW CONCEPT

Ed VanBavel1*, Pier Siersma1, and Jos A.E. Spaan1

1 Department of Medical Physics, Academic Medical Center, University of Amsterdam, Amsterdam, The Netherlands

* To whom correspondence should be addressed. E-mail: e.vanbavel{at}amc.uva.nl.

The mechanical properties of passive blood vessels are generally thought to depend on the parallel arrangement of elastin and collagen with linear elasticity, and collagen recruitment depending on vessel strain (Hook-on or HO model). We evaluated an alternative model (serial elements or SE model), consisting of the series arrangement of an infinite number of elements, each containing elastin with constant elastic modulus and collagen that switches stepwise from slack (zero stress) to fully rigid (infinite stiffness) upon ongoing element strain. Both models were implemented with Weibull distributions for collagen recruitment strain (HO model) and collagen tightening strain (SE model). The models were tested in experiments on rat mesenteric small arteries. Strain-tension relations were obtained before and after two rounds of digestion by collagenase. Both models fitted the data prior to digestion. However, for the HO model this required unrealistically low estimates for collagen recruitment or elastic modulus, and unrealistically high estimates for distension of collagen fibers. Furthermore, the data after digestion were far better predicted by the SE as compared to the HO model. Finally, the SE model required one parameter less (collagen elastic modulus). Therefore, the serial elements model provides a valuable starting point for the understanding of vascular mechanics and remodeling of vessels.




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