Blood flow in branching circulatory systems during rest and activity |
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Authors: | George Karreman |
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Institution: | (1) Committee on Mathematical Biology, The University of Chicago, Chicago, USA |
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Abstract: | On the basis of simple physical considerations the blood flow in a branching circulatory system is studied. The case of two
groups of parallel vessels is treated. The vessels of the same group are supposed to be identical. The resistance of each
group is determined by the resistance of each vessel in the group and by the number of vessels in the group. From the dependence
of the resistance of each vessel on its radius an expression is obtained for the blood flow through each group of vessels
in terms of the numbers and sizes of the vessels in each group. The number of open vessels in an organ and the radius of each
of those vessels are assumed to depend on the metabolic rate of that organ. The relations so obtained, together with the expression
above, are applied to derive the blood flow through an organ as a function of the metabolic rate of that organ. It is indicated
that the relations obtained might describe the shifting of blood from one organ to another if the activity of one of them
changes. A way is pointed out to treat neural regulation of this phenomenon. |
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