Measurement of Musele Blood Flow in the Human Forearm with Radioactive Krypton and Xenon By GERALD B. HOLZMAN, M.D., HENRY N. WAGNER, JR., M.D., MASAHIRO IO, M.D., DAVID RABINOWITZ, M.D., AND KENNETH L. ZIERLER, M.D. Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 Carrier-free Kr 85 and Xe 133 were obtained in state from Oak Ridge National Laboratory, and were transferred to a 40-ml. stainlesssteel container by attaching the gas cylinder to an evacuated container, the temperature of which had been reduced by means of liquid nitrogen. Phosphate buffer at pH 7.0 was then introduced into the evacuated container to return the pressure to atmospheric. The final volume of one curie of radioactive gas was appiroximately 3 to 5 ml. in equilibrium with about 35 ml. of buffer solution. In this way a highly concentrated aqueous solution of Kr 85 and Xe 133 was obtained despite the slight water solubility of these gases. The aqueous solution was sterilized by passage through a membrane Millipore filter, with care to avoid contact with air. Terminal calibration of the dose was made by comparison with a sealed National Bureau of Standards Kr 85 standard. Xe 133 was calibrated with ftiulium-170, which has a gamma emission of 0.084 mev and a half-life of 127 days. Final concentration of both gases was usually 500 to 1,000 ,uc. per ml. To measure forearm muscle blood flow, the aqueous solution of the radioactive substance was injected into the volar surface of the forearm through a 25-gage needle to a depth of % inch. The injection was made slowly toi minimize tissue trauma. Immediaitely following injection, a collimated Nal (Ti activated) crystal scintillation detector was placed directly over the injection site and radioactivity was recorded by means of a IN 1949 Kety proposed that if the rate of removal from the site of injection of an intramuscularly injected radioactive isotope was limited principally by flow, then the clearance of the tracer from the injection site could be used to measure local blood flow.' In the past, sodium-24 or iodine-131 has been used for this purpose, but with considerable variability in the results obtained in serial studies of the same persons.2 The chemically inert gases krypton-85 and xenon-133 have certain advantages over a gaseous Na24 and I 131. They are chemically and physiologically inert; they are not normally present in the body; and they are rapidly excreted from the body via the lungs.3 The long physical half-life of Kr 85 ( 10.3 years) and the half-life of Xe'33 (5.27 days) make the use of these nuclides more convenient than Na 24 (15 hours). Finally, the lower gamma ray energies of Kr85 (0.513 mev) and Xe'33 (0.081 mev) are more suitable for external radiation detection than the high energy of Na24 (1.368 mev), which is difficult to localize accurately in the body. Accordingly, blood flow to forearm muscle was estimated by external monitoring of the rate of disappearance of radioactivity following intramuscular injection of an aqueous solution of Kr85 or Xe 33 gamma ray spectrometer, count rate meter, and linear chart recorder. An Armac scintillation detector was used in certain studies. In five healthy adult men, forearm muscle blood flow was estimated simultaneously by two methods, the Kr 85 or Xe 133 method and the constant injection dye-dilution method.4 Materials and Methods There were 119 determinations in 52 subjects who were hospital employees or convalescent patients from the medical wards of the Johns Hopkins Hospital. All were free from known peripheral vascular disease. Calculation of Results 1 is a typical linear chart recording of Figure the time course of Kr85 radioactivity in the human forearm following an intramuscular injection of From The Johns Hopkins University School of Medicine, Baltimore, Maryland. Circulation, Volume XXX, July 1964 an rate aqueous solution of the gas. of function 27 of Although the not a single exponential time (fig. 2), a determination clearance was was HOLZOANA ET AL. 8) C. P.M. 4,000 C. P.M. Background 30 )OC.P M 4,00°r 2,000- 2,000F T 152= 17 min. 30 40 20 10 TIME AFTER INJECTION(min.) 0 Figure 1 Linear chart recording followinsg the injection of 0.5 ml. of Kr85. Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 made of the time required for the counting rate to fall to one half the value obtained 2JS minutes after injection. This is referred to hereafter as the half-time. To obtain forearm muscle blood flow in units of ml./min./100 Gm. of forearm muscle, it was assumed that the radioactivity remaining in the injected region was described by the equation Q -Q e-kt* The clearance constant k can be expressed by k - F/VX,t and we multiplied V by the specific gravity of tissue (approximately 1 Gm./ml.). The method of calculating the data was based on the proposals of Kety, xvho assumed that the rate of disappearance of intramuscularly injected * Q -quantity present; Q. = initial quantity present; e - base natural log; k - clearance constant (fraction/min.); t - time (min.). f F - blood flow in ml./min.; V - volume (ml.) of tissue being cleared of the inert gas; X - partition coefficient between tissue and blood, assumed to be 1.00 in the Kr85 studies and 0.73 in the Xe'33 studies.5 6 ,000 800 20 30 40 10 TIME AFTER INJECTION(min.) 0 Figure 2 Se?nilogarithmic plot of figure 1. radioactive sodium is proportional to the remainiing quantity of the radioisotope, and the constant of proportionality is the ratio of blood flow to the volume of distribution of the radioisotope.' An alternate formulation has been made by Zierler. Its particular advantage is that it is unnecessary to make any assumptions about the shape of the time-concentration curve. To obtain flow per unit volume, the area under the time-concentration curve is integrated by planimetry and divided into QO, the amount of radioactivity injected as measured by the external detector immediately after injection, i.e., F/V - QO Qo where t equals the mean transit time. To compare the clearance method with the dye-dilution method, which measures total forearm flow, it was assumed that 60 per cent of the Table 1 Paired Kr85 Clearance Half-Times in the Same Subject Experiment 1 irst observation Second obiservation 30 T 30 K 14.5() 10.8() 27.00 9.80 24.00 26.50 16.00 9.00 8.50 13.80 9.80 24.00 8.00 19.00 20.25 22 6 an1( 7 55 10 and 49 15 and 19 29 T 29 K 51 23 11 and 17 54 35.00 16.00 19.00 14.50 Per cent differenlce 1.2.00 13.00 12.30 23.75 10.00 10.00 6.75 Mean per cent difference: 32 irculZation, 4.9 9.7 11.8 20.2 23.3 26.7 28.6 36.4 36.5 38.3 46.2 62.0 72.9 Volume XXx, July 1964 MUSCLE BLOOD FLOW IN FOREARM 29h Table 2 The Effect of Volume of Injectate Experimnent Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 17 19 23 B 15 R 18 16 R 16 L 15 L 12 L 11 21 14 R 22 B 9R 20 10 14 L 22 A 24 12 R 8 9L Mean on the Half-Time Clearance of Kr85 0.2 ml. T 1 2 min. 10.0 11.0 12.5 16.0 16.0 18.3 18.5 18.8 18.8 19.0 19.5 21.5 24.0 24.0 25.1 26.5 27.0 27.0 27.3 33.5 34.0 34.5 21.9 0.5 ml. Experiment 54 53 39 53 23 40 53 54 32 23 50 49 22 C A A C B A B B A A A A 51 C 6.8 7.0 7.0 7.8 10.0 10.3 11.3 14.5 15.5 35.0 43.0 Mean 17.4 elsewhere.7' 8 Results The half-time of disappearance of Kr 85 from the injection site based on 65 determinations in 28 subjects in the supine position averaged 17.8 8.2 min. (mean + 1 S.D.).. The average Xe 133 clearance half-time based on five determinations in four subjects was 16.0± 7.1 min. To evaluate reproducibility, we carried out paired injections in the same arm but not in the same spot in 13 subjects. A minimum of 1 hour elapsed between injections. Table 1 lists the results. The difference between two determinations ranged between 5 and 73 per cent of the mean; the mean difference was 32 per cent. In one patient who had three injections, the mean difference was 31 per cent. In most patients the clearance during the Experiment 29 26 26 29 27 25 28 27 T '2 min. A B A B B A A A 9.0 10.7 12.7 19.5 22.5 23.5 24.0 Mean 16.3 8.8 16.0 20.0 20.3 22.5 23.8 25.0 54 A 51 B 24 B forearm consists of muscle, the latter being perfused by 80 per cent of the total forearm blood flow. Evidence that these two assumptions are valid when the arm is at rest has been presented Circulation, Volume XXX, July 1964 0.8 ml. T %2 min. second observation was faster than during the first. This may have been due to a physiologic increase in forearm muscle blood flow in response to the experimental procedure. Table 2 shows the effect of variation in the volume of injectate on the clearance rate of Kr 85. The average half-times for 0.5 ml. (17.4 min.) and 0.8 ml. (16.3 min.) were not significantly different. The mean half-time for a 0.2-ml. injectate was 21.9 7.0 min. (mean + 1 S.D.); the mean half-time for 0.5 ml. was 17.4 10.3 min. The difference between the 0.2- and 0.5-ml. volume was not significant (p = 0.12). The smaller volume was selected as less likely to alter blood flow by producing local tissue reaction. To determine whether the size of the area of the forearm being monitored had an effect on the clearance half-time of Kr 85, two different detection systems were used simultaneously in 10 experiments (table 3). One detector consisted of a right cylindrical collimator with a 134-inch diameter field; the other was a flat-field collimator with a 6-inch diameter HOLZMAN ET AL. 30 C. P. M. C.P.M. 80,000 60X0000 XE 133 50,000 Tl 17- =10.7min. 40,000 XE133 20,000- 2 0,000 0 0 20 40 10 30 50 TIME AFTER INJECTION (min.) 0 8,OOOE C.P.M. 5 ,oooF 4,000r Background KR85 Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 e J _ I 0 1 KR 85 2,000 Tl12 =Igmin. _1 30 40 20 50 10 TIME AFTER INJECTION (min.) Figure 3 800EL- Linear chart recording following the injection of 0.5 ml. of a mixture of Krs5 and Xe133. field. In the case of the latter, the half-time was 18.8 + 12.8 min. (mean 1 S.D.) while that with a 134-inch field was 14.1 6.4 min. The mean difference of 4.7 min. was not significant (p>O.l). To determine the simultaneous clearances of Kr85 and Xe 133, and Kr85 and Na 24, the clearance of each was measured by means of gamma-ray spectrometry. Figure 3 is a linear chart recording following the injection of a __1 ----L- -1 10 20 30 40 TIME A FTER INJECTION (min.) 0 Figure 4 Semilogarithmic plot of figure 3. mixture of Kr 8e5 and Xe133 in a 0.5-mI. volume. The data are plotted on semilogarithmic paper in figure 4. The Kr85 contribution to the Xe 133 measurement was subtracted prior to plotting the Xe 133 clearance. The results of 10 paired Kr85 and Xe 133 clearances are listed in table 4. The ratio of the Kr 85 half-time to the Xe 133 half-time was 1.48 for the forearm Table 3 Effect of Detector Size an the Clearance Half-Time of Kr85 from the Human Forearm Experiment 27 A 26 B 29 A 29 B 31 A 27 B 30 A 30 B 26 A 25 A Mean 1 S.D. 6 inch field T 2 mlin. 22.5 9.0 9.0 13.0 19.0 20.5 14.5 13.8 14.0 53.0 18.8 12.8 1 2 inch field T >2 min. 25.5 9.0 8.5 12.3 17.0 18.5 10.8 9.8 7.3 22.5 14.1 6.4 Difference 3.0 0.0 0.5 0.7 2.0 2.0 3.7 4.0 6.7 30.5 4.7 9.4 Circulation, Volume XXX, July 1964 MUSCLE BLOOD FLOW IN FOREARM 31 Table 4 Simultaneous Measurements of the Kr85 and Xe"33 Clearance Experiment Xe T 1/2 (mtin.) Kr T 1/2 (min.) Ratio Kr T 1/2:Xe T 1/2 Forearm 51 51 55 50 55 49 C B A A B A 20.00 26.50 16.25 12.30 10.70 10.00 23.75 35.00 24.00 20.00 19.00 20.25 1.19 1.32 1.48 1.63 1.78 2.03 5 5 5 5 D B A C 6.40 7.50 7.60 3.50 7.70 9.20 1.20 1.23 1.28 1.66 1.4 Legs 9.75 5.80 Mean Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 and 1.30 when the injections were made in the leg. The over-all ratio was 1.44 and the correlation coefficient 0.95. A typical Kr85 and CPM 70,000r 50,000O 30,000[ 0,000k 7.5 12.5 7.5 2.5 TIME AFTER INJECTION (min.) Na24 study is shown in figures 5 and 6. The data are presented in table 5. The ratio of the Kr 85 half-time to the Na 24 half-time was 2.03. The importance of local blood flow in determining the rate of Kr85 clearance was demonstrated by the effect that major alterations in blood flow had on the clearance rates. In studies of seven subjects an Armac.5 scintillation detector was used. The left side of figure 7 is a linear chart record of a normal clearance after an injection of 0.5 ml. Kr 85. As seen in the graph on the right, a slower clearance was observed when a blood pressure cuff on the arm above the site of injection was CPM 30,000~ 213,0 0 0 Na 24 12 2__ Kr 85t =18 min. 9,000 10,000 3,000 8,000 17.5 12.5 7.5 2.5 TIME AFTER INJECTION (min.) Figure 5 Linear chart recording following the injection of 0.5 ml. of a mixture of Kr85 and Na24. Circulation, Volume XXX, July 1964 NA24 6,000 t1'2=1 1.75 min. 2 5 15 TIME AFTER INJECTION Figure 6 Semilogarithmic plot of figure 5. HOLZMAN ET AL. 32 Pm I 90,000r 50, 00( 70,000 F 30,0(iO1-,. i0t00 i o l 20 lME 30 o1 27(I 1( 30 50,000 F AFTER INJECTION [min.) Figure 7 Left, a normal linear chart recording following the, injection of 0.5 ml. of Krs;;. Right, a linear chart recording demonstrating the effect of venous occluisioni. Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 inflated to 20 mm. Hg below diastolic pressure. This same patient 1 hour later had a blood pressure cuff inflated to 30 mm. Hg above systolic pressure. The cuff was kept inflated for 15 minutes during which time 0.5 ml. of Kr 85 was injected into the forearm below the level of the cuff. Upon release of the cuff reactive hyperemia produced a rapid wash-out of the radioactivity (fig. 8). In all cases arterial occlusion prevented the clearance of the radioactivity and venous occlusion markedly diminished it. Forearm muscle blood flow was estimated eight times in five healthy adult men by the isotope clearance method simultaneous with the indicator dye-dilution method. The results of the comparison are shown in table 6. The flow in ml./100 GmJ/mi. determined by the Kr 85 clearance was from 0.95 to 1.65 times the value obtained by the dye-dilution technic. The mean difference between the two methods was 23 per cent, the range of difference being 6 to 49 per cent. The correlation coefficient was 0.75. Kr > estimations averaged 1.28 times faster and Xe estimations 1.34 ` 30,000 h 3ackground 10,000 0 20 10 TIME AFTER INJECTION (min.) Figure 8 A linear chart recording illustrating the effect of arterial occlusion and reactire lhyperernia. times faster than the dye-dilution determinations. To obtain data for calculation of the radiation dosage to the patient, the fate of Kr 85 in the human forearm was determined in six individuals. Observations were made until the amount of radioactivity present in the forearm was less than 0.1 per cent of the initial value (95-per cent confidence limits). Results are shown graphically in figure 9. In three subjects less than 1 per cent of the initial couint rate was present 632 hours after injection. In the three other subjects, 1.41 per cent of the activity was present at 6 hours, 2.7 per cent at 8 hours, and 1.35 per cent at 8 hours. A final determination was carried out 2631 able 5 Simultaneous Measurements of the Kr85' and Na2" Clearance Krypton-85 Experiment 156 57 57 58 58 T l2 (nIliln.) 1 1.() t13.25 B A B A 18.00 Mean 30.0()0 63.5 27.15 Sodiunn-24 T 1/2 (min.) Ratio Kr T 12: INa T 1/2 11.00 12.50 11.75 16.00 13.50 12.95 1.06 1.53 1.87 4.70 2.03 1.G() Cirulation, Volum;e XXX, Julv 1964 MUSCLE BLOOD FLOW IN FOREARM33 33 Table 6 Simultaneous Measurements of Human Forearm Muscle Blood Flow by the Kr85 and Dye-Dilution Method Kr method ml. /100 Gm./min. Experiment 54 53 40 53 53 39 B B A A C A Dye-dilution method mL / 100 Gm. min. 5.05 5.75 6.00 7.48 6.01 6.00 4.78 6.16 6.76 9.90 8.95 9.90 Per cent difference Kr/dye 5.5 6.9 11.9 27.8 39.3 49.1 0.95 1.07 1.13 1.32 1.49 1.65 Correlation coefficient: 0.75 Mean per cent difference: 23 Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 to 30 hours after injection in four of the six individuals. Less than 0.1 per cent of the initial activity was present in all cases. Thus the radiation to the forearm was well below permissible amounts. Foreorm Radioactivity Percent of Initial Value A 0.1 T TIME AFTER INJECTION(hours) Figure 9 Six studies demonstrating the amount of radioactivity remaining in the injected forearm over a 10-hour period. Circulation, Volume XXX, July 1964 Summary and Conclusions Blood flow to forearm muscle in man was estimated by external monitoring of the rate of disappearance of radioactivity from the injection site following intramuscular injection of aqueous solutions of krypton-85 and xenon-133. Krypton-85 clearance was markedly diminished by arterial occlusion and venous occlusion, while reactive hyperemia transiently increased the rate of clearance. The technic was atraumatic to the patient and yielded flow data similar to those of the indicator dilution method without the necessity of intra-arterial injections and multiple blood sampling. When measured simultaneously, Kr85 clearance was consistently slower than both Xe 133 and Na 24, An important difference between Na 24, Kr 85, and Xe 133 is their relative solubility in fat, the last being the most soluble. The differences between the clearance rates of Kr 85 and Xe'33 can be attributed to the greater solubility of Xe 33 in blood relative to skeletal musele.9 Differences in clearance rates of both Kr 85 and Xe 133 result from the relative proportions of lipid and water in a given individual.10 The technic is of greatest value in serial measurements in the same individual. Since the mean per cent difference between our paired studies in the same individual was 32 per cent, one would be able to detect changes in blood flow of this order of magnitude. References 1. KETY, S. S.: Measurement of regional circulation by the local clearance of radioactive sodium. Am. Heart J. 38: 321, 1949. 34HOLZMAN ET AL. 34 Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 2. McGIRR, E. M.: Tissue clearance of inorganic ions. Brit. M. Bull. 8: 192, 1952. 3. CHIDSEY, C. A., FRITTS, H. W., JR., HARDEWIC, A., RICHARDS, D. WV., AND COURNAND, A.: Fate of radioactive krypton (Kr-85); introduced intravenously in man. J. Appl. Physiol. 14: 63, 1959. 4. BALTZAN, M. A., ANDRES, R., CADER, G., AND ZIERLER, K. L.: Heterogeneity of forearm metabolism with special reference to free fatty acids. J. Clin. Invest. 41: 116, 1962. 5. CONN, H. L., JR.: Equilibrium distribution of radio-xenon in tissue: Xenon-hemoglobin association curve. J. Appl. Physiol. 16: 1065, 1961. 6. HARDEWIG, A., ROCHESTER, D. F., AND BRISCOE, XV. A.: Measurement of solubility coefficients of krypton in water, plasma and human blood, using radioactive krypton-85. J. Appl. Physiol. 15: 723, 1960. 7. COOPER, K. E., EDHOLM, 0. G., AND MOTTRAM, R. F.: The blood flow in skin and muscle of the human forearm. j. Physiol. 128: 258, 1955. 8. ANDRES, R., CADER, G., AND ZIERLER, K. L.: The quantitatively minor role of carbohydrate in oxidative metabolism by skeletal muscle in intact man in the basal state. Measurements of oxygen and glucose uptake and carbon dioxide and lactate production in the forearm. J. Clin. Invest. 35: 671, 1956. 9. LAWRENCE, J. H., Loomis, W. F., TOBIAS, C. A., AND TURFPN, F. H.: Preliminary observations on the narcotic effect of xenon with a review of values for solubilities of gases in wxater and oils. J. PhYsiol. 105: 197, 1946. 10. HYMIAN, C.: Peripheral blood flow measurements.: Tissue clearance. In Medical Research. Chicago, The Year Book Publishers, Inc., vol. 8, p. 236, 1960. William Withering XVhat led to the publication of Withering's book on the foxglove, was what he believed to be the misuse of the drug by the profession. He felt that this would lead to its being discredited and thus a valuable medicinal agent would be discarded. As he expressed it: "The use of the Foxglove is getting abroad and it is better the world should derive some information, however imperfect, from my experience, than that the lives of men should be hazarded by its unguarded exhibition, or that a medicine of so much efficacy should be condemned and rejected as dangerous and unmanageable." One of those who urged him to print his experiences was Dr. Fowler at Stafford, who wrote him as follows: "I understand you are going to publish on the Digitalis, which I am glad to hear, for I have long wished to see your ideas in print abouit it. The public at this very instant stand in great need of your precept, guards, and cautions, toward the safe and suceessful use of such a powerful sedative diuretic. I remember an officer in the Staffordshire militia who died here of dropsy four years ago. The Digitalis relieved him a number of times in a wonderful manner, so that in all probability he might have obtained a radical cure if he would have refrained from hard drinking."-Louis H. RODDIS, M.D. William lVithering: The Introduction of Digitalis Into Medical Practice. New York, Paul B. Hoeber, Inc.. 1936, p. 59. . . Circula/tion, Volume XXX, Juily 1 964 Measurement of Muscle Blood Flow in the Human Forearm with Radioactive Krypton and Xenon GERALD B. HOLZMAN, HENRY N. WAGNER, JR., MASAHIRO IIO, DAVID RABINOWITZ and KENNETH L. ZIERLER Downloaded from http://circ.ahajournals.org/ by guest on June 16, 2017 Circulation. 1964;30:27-34 doi: 10.1161/01.CIR.30.1.27 Circulation is published by the American Heart Association, 7272 Greenville Avenue, Dallas, TX 75231 Copyright © 1964 American Heart Association, Inc. All rights reserved. Print ISSN: 0009-7322. 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