Abstract
Many methods for assessing tissue capillarity from sections taken perpendicular to the axis of anisotropy have been advanced in recent years. The central theme to these methods has generally involved the measurement of capillary density, i.e. the number of capillaries per unit of cross sectional area. This measurement is the primary descriptor of the relative contributions of vascular and tissue components in the plane. Notwithstanding this average measurement, tissue supply of oxygen has been shown to be compromised as the heterogeneity of capillary spacing increases (Turek and Rakusan, 1981); and hence modern approaches have taken into account to the spatial relationships amongst neighbouring capillaries (Kayar et al., 1982; Hoofd et al., 1985). As the local capillary environment, more than the average tissue value for capillarity, describes better the range of geometrical conditions for oxygen transport, the morphometric methods described in this study take into account the spatial relationships amongst neighboring capillaries.
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References
Batra, S., and Rakusan, K. (in press). Capillarization of the hypertrophic heart: discrepancy of the results obtained by the triangulation and domain methods. J. Cardiovasc. Pharmacol.
Batra, S., Rakusan, K., and Kuo, C. (1989). Spatial distribution of coronary capillaries: A-V segment staggering. In: “Oxygen Transport to Tissue-XI” (K. Rakusan, G.P. Biro, T.K. Goldstick, Z. Turek, Eds.), pp. 241–247. Plenum Press, New York and London.
Cliff, A.d., and Ord, J.K. (1973). “Spatial Autocorrelation.” London, Pion.
Green, P.J. and Sibson, R. (1978). Computing Dirichlet tessellations in the plane. Computer Journal, 21, 168–173.
Hoofd, L., Turek, Z., Kubat, K., Ringnalda, B.E.M., Kazda, S. (1985). Variability of intercapillary distance estimated on histological sections of rat heart. In: “Oxygen Transport to Tissue VII” (F. Kreuzer, S.M. Cain, Z. Turek, T.K. Goldstick, Eds.) pp. 239–247, Plenum Press, New York and London.
Kayar, S.R., Archer, P.G., Lechner, A.J. and Banchero, N. (1982). The closestindividual method in the analysis of the distribution of capillaries. Microvasc. Res., 24, 326–341.
Rogers, C.A, (1964). Packing and Covering, Cambridge Mathematical Tracts #54, Cambridge University Press.
Turek, Z., and Rakusan, K. (1981). Lognormal distribution of intercapillary distance in normal and hypertrophic rat heart as estimated by the method of concentric circles: its effect on tissue oxygenation. Pflügers Arch. 391, 17–21.
Venema, H.W. (1988). Spatial distribution of fibre types in skeletal muscle: test for a random distribution. Muscle & Nerve. II:301–311.
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© 1992 Springer Science+Business Media New York
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Batra, S., Rakusan, K. (1992). Morphometric Methods for the Evaluation of Capillary Grouping Patterns in Rat Heart. In: Goldstick, T.K., McCabe, M., Maguire, D.J. (eds) Oxygen Transport to Tissue XIII. Advances in Experimental Medicine and Biology, vol 316. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3404-4_30
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DOI: https://doi.org/10.1007/978-1-4615-3404-4_30
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