Abstract
Pathological conditions such as shock, ischemia and traumatic injury often result in a decreasing number of physiologically perfused capillaries (Dintenfass, 1971; Crowell and Olsson, 1972; Fischer, 1973; Little et al., 1976). Blood flow is diverted to various bypass routes in the microvasculature resulting in deficient transport of oxygen and other nutrients to the tissue. Microvascular conductance may quickly be reduced to zero even if several capillaries remain patent (Hudetz et al., 1984; Hudetz and Werin, 1985). The extent to which these events happen depends on the number and availability of capillary bypass routes -characteristics described by network topology. Also, the mathematical modelling of microvascular blood flow and oxygen transport to tissue requires the precise knowledge of the network topology and geometry.
This work was supported in part by the USPHS grant No. NS-08802, by the Ministry of Health, Hungary (3.01.3) and by the State of Louisiana, Division of Rehabilitation Services.
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© 1988 Plenum Press, New York
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Hudetz, A.G., Conger, K.A., Pal, M., Horton, C.R. (1988). Mathematical Analysis of Network Topology in the Cerebrocortical Microvasculature. In: Mochizuki, M., Honig, C.R., Koyama, T., Goldstick, T.K., Bruley, D.F. (eds) Oxygen Transport to Tissue X. Advances in Experimental Medicine and Biology, vol 222. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9510-6_10
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