| Autor: |
Peskin CS; Courant Institute of Mathematical Sciences, New York University, New York 10012., McQueen DM |
| Jazyk: |
angličtina |
| Zdroj: |
The American journal of physiology [Am J Physiol] 1994 Jan; Vol. 266 (1 Pt 2), pp. H319-28. |
| DOI: |
10.1152/ajpheart.1994.266.1.H319 |
| Abstrakt: |
In this work, the structure of the aortic valve is derived from its function, which (in the closed-valve configuration) is to support a uniform pressure load. It is assumed that this load is transferred to the aortic wall by a one-parameter family of fibers under tension. The equation of equilibrium for this fiber structure turns out to be equivalent to the equation of motion of vortex lines in the self-induction approximation. The method of Buttke (J. Comput. Phys. 76:301-326, 1988) is used to solve these equations and, hence, to determine the fiber architecture of the aortic leaflets. Because of a singularity at the center of the aortic valve, the computed fiber architecture has a fractal character with increasing complexity at progressively smaller scales. The computed fiber architecture resembles the branching braided structure of the collagen fibers that support the real aortic valve. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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