Abstract
Arterial bifurcations in the cardiovascular system of a rat were studied, using a resin cast of the entire arterial tree. At each bifurcation, measurements were made of the diameters of the three vessels involved, the two branching angles, and the angle delta, which the parent artery makes with the plane containing the two branches. The results were found to be consistent with those reported previously in man and monkey. In addition, measurements of delta in the present study indicate that arterial bifurcations are mostly two dimensional.
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Selected References
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- Horsfield K., Cumming G. Angles of branching and diameters of branches in the human bronchial tree. Bull Math Biophys. 1967 Jun;29(2):245–259. doi: 10.1007/BF02476898. [DOI] [PubMed] [Google Scholar]
- Kamiya A., Togawa T. Optimal branching structure of the vascular tree. Bull Math Biophys. 1972 Dec;34(4):431–438. doi: 10.1007/BF02476705. [DOI] [PubMed] [Google Scholar]
- Kamiya A., Togawa T., Yamamoto A. Theoretical relationship between the optimal models of the vascular tree. Bull Math Biol. 1974 Jun;36(3):311–323. doi: 10.1007/BF02461331. [DOI] [PubMed] [Google Scholar]
- Murray C. D. The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. Proc Natl Acad Sci U S A. 1926 Mar;12(3):207–214. doi: 10.1073/pnas.12.3.207. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Reidy M. A., Levesque M. J. A scanning electron microscopic study of arterial endothelial cells using vascular casts. Atherosclerosis. 1977 Dec;28(4):463–470. doi: 10.1016/0021-9150(77)90073-9. [DOI] [PubMed] [Google Scholar]
- Uylings H. B. Optimization of diameters and bifurcation angles in lung and vascular tree structures. Bull Math Biol. 1977;39(5):509–520. doi: 10.1007/BF02461198. [DOI] [PubMed] [Google Scholar]
- Zamir M., Medeiros J. A. Arterial branching in man and monkey. J Gen Physiol. 1982 Mar;79(3):353–360. doi: 10.1085/jgp.79.3.353. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Zamir M., Medeiros J. A., Cunningham T. K. Arterial bifurcations in the human retina. J Gen Physiol. 1979 Oct;74(4):537–548. doi: 10.1085/jgp.74.4.537. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Zamir M. Nonsymmetrical bifurcations in arterial branching. J Gen Physiol. 1978 Dec;72(6):837–845. doi: 10.1085/jgp.72.6.837. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Zamir M. Optimality principles in arterial branching. J Theor Biol. 1976 Oct 7;62(1):227–251. doi: 10.1016/0022-5193(76)90058-8. [DOI] [PubMed] [Google Scholar]
- Zamir M. The role of shear forces in arterial branching. J Gen Physiol. 1976 Feb;67(2):213–222. doi: 10.1085/jgp.67.2.213. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Zamir M. Three-dimensional aspects of arterial branching. J Theor Biol. 1981 Jun 21;90(4):457–476. doi: 10.1016/0022-5193(81)90299-x. [DOI] [PubMed] [Google Scholar]