The principal purpose of this study is to investigate the kinetics of
131I-hippuran in the human body, in order to obtain the informations about renal circulation and tubular excretion, which may be used as a quantitative evaluation of renal function. After a single injection of
131I-hippuran, the disappearance curves of
131I-hippuran from blood were shown to be represented as the sum of 3 exponentials on the semilogarithmic graph. Consequently, it was assumed that a three compartment model should be adopted for the study of kinetics of
131I-hippuran. The existence of an extravascular body compartment omitting the kidneys showed that
131I-hippuran could disperse and distribute into the body tissue. And the fact that the values of extraction ratio obtained by renal catheterisation decreased in the course of time after a single injection of
131I-hippuran, might be explained only by application of a multi-compartment model. From these considerations, a following new mathematical model was proposed for the kinetics of I-hippuran.
Qi: Radioactivity in the compartment i.Kij : Intercompartmental rate constant from compartment j to i.The simultaneous differential equations to describe the transfer of radioactivity are shown as follows. dQ
1/dt=-K
21Q
1-K
31Q
1+K
12Q
2+K
13Q
3 dQ
2/dt=K
21Q
1-K
12Q
2 dQ
1/dt=K
31Q
1-K
13Q
3 Therefore, on the basis of this model, intercompartmental rate constants could be calculated from the data obtained by analysis of the blood disappearance curve. And effective renal blood flow can be calculated from the following formula. E(t)⋅F⋅Q
1/V
1=K
21Q
1-K
12Q
2 E(o)⋅F=K
21V
1 Where, F: total renal blood flow.E(t) : extraction rate at a given time t.V1 : distribution volume
131I-hippuran in the compartment 1. This kinetics study as made in the cases of normal and diseased subjects and the results are summerized in the table. For another application of this kinetics study, the author described a new method using double isotope technique for simultaneous studies on the circulatory and excretory functions of both the kidney and the liver. According to the kinetics model of
131I-hippuran, the renogram curve is corresponding with the transition of radioactivity in the kidney compartment and is explained principally on the same basis of the kinetics study mentioned above. From this point of view, finally, the application of analogue computor as a trial for the theoretical analysis of the renogram was investigated.
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