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(Revised April 3; revision accepted for publication August 10, 1969.)

E.P.L. is recipient of Postdoctoral Fellowship of the Schweizerischer Nationalfonds.

This investigation was supported in part by Training Grant No. HD-00182 from the Institute of

Child Health and Human Development, National Institutes of Health.

ADDRESS FOR REPRINTS: (M.H.) San Francisco General Hospital, Building 100, Room 246, 1001 Potrero Street, San Francisco, California 94110.

PEDIATRICS, Vol. 44, No. (3, I)ecembcr 1969 905

ARTICLES

SINGLE

INJECTION

CLEARANCE

IN

CHILDREN

Tadasu

Sakai, M.D.,

Ernst

P.

Leumann,

M.D., and Malcolm A. Holliday, M.D.

From the Department of Pediatrics, University of California-San Francisco Medical Center, and San Francisco General Hospital, San Francisco

ABSTRACT. The renal clearance of sodium

iothalamate I’s’ after a single intravenous dose of 10 to 25 pCi was calculated from the plasma disappearance curve. The endogenous creatinine clearance was compared with these results.

Thirty-eight studies in 35 pediatric patients with all

levels of renal function were performed. Eight studies were excluded because of grossly incom-plete urine collection, and 5 studies were not analyzed further because of very low glomerular

filtration rate. The correlation between both

meth-ods in the 21 studies was good (Cereat = 0.91 X C. + 4.9, r = 0.91). It was significantly better in the nine patients with a serum creatinine of

0.7 mg/100 ml or more (Ccreat = 1.01 X C.1

-1.2, r = 0.97) than in the 16 patients with a

serum creatinine of 0.6 mg/100 ml or less (C

= 0.82

x

C + 11.5, r = 0.84). In the latter

group, the accuracy of the serum creatinine (Ic-termination was often poor, and even variations of ± 0.1 mg/100 ml could lead to a gross error in the calculation of the clearance.

In four patients, the clearance was obtained by external counting and agreed well with the clearance calculated from the plasma samples.

The single injection clearance is especially in-dicated in children (1) when no adequate urine

collection is obtainable, (2) at low serum

creatin-me concentrations, and (3) in outpatients. Pedi-atrics, 44:905, 1969, KIDNEY FUNCTION TESTS,

GLOMERULAR FILTRATION RATE, DIAGNOSTIC IODINE

ISOTOPES, CREATININE.

rJ,

HE determination of glomerular

filtra-tion rate (GFR) is of major interest in

the evaluation of kidney function. Since

standard clearance techniques with

con-stant infusion and catheterization of the

bladder cannot be done routinely, the

de-termination of the endogenous urea or

crea-tinine clearance is used widely. In the

pedi-atric age group, the estimation of creatinine

clearance is less accurate than in adults,

frequently due to incomplete urine

collec-tions and also to difficulties in determining

the serum creatinine at low concentrations.

Methods by which GFR can be

esti-mated without any urine collection have

obvious advantages. One possibility consists

in calculating the clearance from the

plasma disappearance curve after the single

injection of a substance which is handled

like inulin. Several authors have proven

this method to correlate well with the

con-stant infusion inulin or endogenous

creati-nine clearance in animals” and humans3’4

using labelled substances and calculating

the data according to the model of

Sapir-stein,

et al.

Our study demonstrates the

technical feasibility of the single injection

clearance with iothalamate J125 in chik1ren

and investigates the merits of this method

as an alternative to the creatinine

clear-ance.

MATERIAL AND METHODS

Thirty-eight single injection clearances

using sodium iothalamate J125 (C,1) were

performed on 35 pediatric patients with

various levels of renal function. None of

them was edematous at the time of study.

The creatinine clearance (Ccreat) was

mea-sured in the same children. After emptying

the bladder, a 24-hour (27 studies) or

12-hour (11 studies) urine was collected,

end-ing at 8 A.M., at which time a fasting blood

(2)

(

0.6931

slopes: Xa =

T112,

using a modification of the method of Folin

and Wii.” The measured creatinine

excre-lion in 24 hours was then compared with

an expected value, which was calculated

from the regression equation reported by

Graystone : Great = 24.3 X (wt) - 150 for

boys ( over 5 years ) and Great = 20.9 X

(wt) - 75 in girls. In one young male

pa-tient (study No. 27), the equation for boys

under 18 months was used: Great 11.7

X (wt) - 4. It was assumed that a ratio

(measured creatinine excretion : expected

value) of 0.70 or less indicated a grossly

incomplete urine collection. Accordingly,

eight studies with ratios between 0.23 and

0.67 were excluded.

Commercial indicator substance sodium

iothalamate 1125 (Glofil, Abbott

Labora-tory), shown to have a clearance identical

with inulin,7’8 was used to estimate GFR.

The specific activity averaged 200 Gi/mg,

and its concentration 1.1 to 1.3 mg/mi. A

1:5 dilution of sodium iothalamate P25 in

saline (10 to 25 Gi in 0.5 mlf) was used.

Each patient was given 2 drops of Lugol’s

solution by mouth the night before the test,

but no special diet or water restriction was

instituted.

The dose of sodium iothalamate 1125

(10-25 p.Ci) was prepared in a disposable

1 ml plastic syringe and was injected rap-idly into the intravenous infusion tubing. In

a similar manner, approximately 0.5 ml of

the same sodium iothalamate J125 dilute

so-lution was diluted further to 100 ml and

used as a standard. The amount used for

the patient and for the standard was

deter-mined by weighing the syringe prior to and

following the injection. At regular short

in-tervals (usually 10, 20, 30, 80, 100, and 120

minutes after injection of sodium

iothala-mate 1125), a 3 ml blood sample was drawn

from an indwelling needle which had been

placed into the antecubital vein at the

be-ginning of the procedure.

oTechnicon Corporation, Tarrytown, New York. Five milliliters have been used since comple-tion of the study in order to minimize losses occur-ring at the time of injection.

milliliter of plasma and two 100 .tl

dupli-cate samples of the diluted aliquot were

pi-petted (micropipettes : ± 1% accuracy)

into counting tubes which contained 1 ml

water, and all were counted in a well-type

scintillation counter up to 10,000 counts.

The counts per minute (cpm) per milliliter

plasma and the total counts injected were

then derived. Plasma samples were

ob-tained before injection of the iothalamate in

those patients who had previously

under-gone a study with a labelled substance, but

the cpm were identical with water in all

in-stances.

The single injection clearance was

calcu-lated on the basis of the two-compartment

model proposed by Sapirstein, et al. The

plasma disappearance curve could be

re-solved graphically into two single

expo-nential functions represented by the two

slopes ?a and )b (Fig. 1) by fitting a

straight line to the terminal segment of the

curve.

(Xii: intercept with the Y axis =

A,

half-life time = T1120)

(Xb: intercept with the Y axis = B,

half-life time = Ti/Ib) 0.6931

Xb =

T1/2b

According to the mathematical treatment of

Sapirstein’s model, the clearance C can now

be calculated as follows:

IXaXb JO 6931

C=

AXb-I-B-Xa ATl/I,+BTl/,b

I total dose (in cpm) given to the

pa-tient. A desk model computer (Olivetti

Pro-gramma 101) was programmed to perform

calculations based on the foregoing

equa-tions.

In four patients the slope of

disappear-ance was monitored externally by affixing a

scintillation probe to the precordium and

recording directly from 0 to 30 minutes,

* Olivetti-Underwood Corporation, New York,

(3)

I I I I

= 455050 x 0.6931 = 75 mI/mm

100 - 105 x 7.4 + 50.9 x 67.3

-80A

I

(j.) B=50.9

\

I’/2b67.3

-IC) 10

\

Xb=O.O1O3

VI - A105

0 4-. .

-If2

-= 0.0937

-2-

-I I I I I I I I

10 20 30 40 50 70 80 90 100 110 120

Fic. 1. Plasma disappearance rate of sodium iothalamate I’ after a single intravenous injection. The bi-exponential curve is resolved by eye-fit into the slopes X a and X b. A and B are the respective

intercepts at the Y axis. (Study No. 13) 60

ARTICLES

Time

(mm.)

907

and again from 80 to 120 minutes after

in-jection. The external counts were converted

to plasma radioactivity using plasma cpm

from a sample which was obtained at

ap-proximately 120 minutes after injection.

The calculation was by the following:

Body monitoring cpm at T1

-Plasma cpm at T1 (unknown)

Body monitoring cpm at T2

Plasma cpm at T2

The instrumental system utilized included a

2 X 2 in. sodium iodide crystal shielded

scintillation probe with a 2 in. straight bore

collimator, a Nuclear Chicago Analyzer

Model 1810 set for energy range 19 key to

50 key, and a Nuclear Chicago Ratemeter

Model 1620 B, and was recorded on a

Min-neapolis Honeywell Visicorderti Model

1108.

All data of the single injection clearance

were analyzed by computer and also

deter-mined by plotting the plasma radioactivity

against time on semilogarithmic paper and

resolving the disappearance by eye (Fig.

1). The three points defining each slope lay

generally on a straight line, except for the

first point (corresponding to the first blood

sample), which was higher than expected

in 11 of 29 instances. The uncertainty in

drawing the steep slope Xa) resulted,

how-ever, only in a small error, and the results

obtained by this method and by computer

agreed. The statistical evaluation was

car-ried out by standard regression analysis by

the method of least squares.

RESULTS

The results of 30 studies in 27 patients

comparing the creatinine clearance with

the single injection clearance with sodium

iothalamate J125 are listed in Table I in

§Nuclear Chicago Corporation, Des Plaines, Il-linois.

(4)

SINGLE-INJECTION CLEARANCE, USING SODIUM IOTRALAMATE P2’ (C,j)

Study Number

Age

(yr)

(U,,,gX V) measured

P1

(U8rg XV) expected

C,j C.01 Ccreag C8

Diagnosis

(mi/mm) t’J,, (mi/min/1.73 ni2)

Group A 40 44 33 42 48 23 64 100 74 100 74 79 103 94 86 69 8 56 40 36 50 60 25 59 119 67 109 65 78 75 65 112 72 7 0.71 1.10 0.92 0.84 0.80 0.92 1.08 0.84 1.10 0.92 1.14 1.01 1.37 1.45 0.77 0.96 1.14 1 2 3 4 5 6 7 8 9 10 Ii 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 3 a a 6 7 8 9 10 10 10 10 11 12 12 14 a a 8 11 12 13 13 16 17 0.4 0.3 0.5 0.4 0.5 0.4 0.5 0.4 0.5 0.3 0.6 0.6 0.3 0.6 0.6 0.6 1.3 0.9 0.9 1.7 0.9 0.8 0.7 0.8 1.0 1.30 0.90 0.71 0.87 1.11 0.94 1.10 0.96 1.11 1.02 1.11 1.01 0.97 1.28 0.73 0.78 1.15 1 .03 1 .22 1.01 0.80 0.82 0.96 0.91 0.83 133 117 76 94 106 57 126 163 135 142 119 110 188 149 98 88 29 60 83 43 84 83 132 112 78 186 106 83 112 133 62 116 194 122 155 104 109 137 103 127 92 26 67 71 46 97 97 115 115 76 Nephrotic syndrome Nephrotic syndrome Post-transplant Nephrotic syndrome Hypertension Post-transplant Hematuria Hematuria Hematuria Nephrotic syndrome Chronic glomerulo-nephritis Hematuria Xephrotic syndrome Nephrotic syndrome Focal nephritis Post-transplant Hemolytic uremic syndrome Post-transplant Chronic glomerulo-nephritis Post-transplant Chronic glomerulo-nephritis Chronic glomerulo-nephritis Ilematuria Hypophosphatemia Chronic gloinerulo-nephritis

26 29 0.90

48 41 1.17

31 33 0.94

72 83 0.87

82 107 109 78 0.85 1.15 0.97 1.03 70 123 106 80 Group B*

26 2 4.0 1.63 2.7 3.8 0.71 12 16 Polycystic kidney

27 2 10.0 1.15 0.9 3.2 0.28 3 ii Nephrotic syndrome

end-stage

28 11 3.6 0.77 9.0 11.0 0.82 13 16 SubacuteGN

29 4.8 0.69 6.0 9.0 0.67 9 13 Subacute GN

30 14 15.2 0.26 0.9 3.2 0.28 1 4 Chronic GN

* Studies in patients with very low GFR.

GN-glornerulonephritis.

two different groups. The mean values of mean C, 66.3 ml/minute (S.D. 29.9). There

both methods are comparable in group A: is a good correlation in these 25 studies

(5)

*No simultaneous creatinine clearance obtained.

further define the limits of reliability of the

creatinine clearance, we selected and

com-pared those clearances where the serum

creatinine concentration was 0.7 mg/ 100 ml

or more with the single injection clearance.

This was done because the percent error

in the measurement of creatinine is greater

at low serum concentrations. The degree of

correlation was higher and the line of

re-gression was nearer the line of identity in

the 9 patients with a serum creatinine of

0.7 mg/100 ml or more

(

Cereat + 1.01

x

- 1.2, r 0.97) . In the remaining

16 patients of group A with a serum

creati-nine of 0.6 mg/lOOml or less, the correlation

is only fair (Ccreat = 0.82 X Csi + 11.5,

r = 0.84).

The patients in Group B had such a low

GFR, leading to considerable percent error

by both methods, that no statistical analysis

was done. However, agreement in terms of

absolute clearance was within 3 ml/minute.

The external counting was performed in

only four patients, but agreed well with

the simultaneous results from the plasma

counts (Table II).

The T112 was found to be between 43

and 143 minutes in all but two studies in

Group A (No. 17 and No. 20: both 5 hours)

and in those of Group B (5 to 40 hours). In

these seven studies the T was prolonged

due to low GFR, and the last plasma samples

had to be obtained later than usual.

DISCUSSION

Multiple errors are involved in the

deter-mination of creatinine clearance, especially

in children.#{176} For this reason, we looked for

an alternative method for the estimation of

GFR which could be done routinely in

chil-dren. Cohen, et al.b0 injected a single dose

of sodium iothalamate 1131 in children

dur-ing a constant infusion of inulin and

calcu-lated the clearances in the usual way (U X

VIP).

They compared the two clearance

values obtained from each urine specimen

and found an excellent correlation, but

er-rors which could have arisen from

inaccu-rate urine collection cancelled out. There

was a wide scatter between the clearance

values in consecutive periods, and the mean

agreed only fairly well with the creatinine

clearance.

Since important errors can arise from

in-accurately timed urine collections, we used

a different method, which permitted

esti-mation of the GFR from the plasma

disap-pearance curve alone after a single injection

of a suitable substance. Constant

infu-sion clearances with sodium iothalamate

J125 have been shown to agree well with

those obtained with inulin.’8 This

sub-stance was chosen because it lends itself to

a simple and accurate quantitation using

doses of radiation that are within a range

quite acceptable for use in adults and

chil-dren with a renal disorder. Cohen,

et al.#{176}

estimate the total body irradiation in a

child weighing 30 kg, after injection of 10

Ci, to be 0.25 millirads with normal GFR

and 37 millirads with complete anuria.

These figures would be, roughly, three

times higher in a child weighing 10 kg. The

radioactivity to the patients with the usual

doses is thus minimal when compared with

other diagnostic and therapeutic

proce-dures, except in patients with very low

GFR. Estimates from our own radiation

safety committee are in agreement.

Since a labelled substance is used, errors

which arise from interfering chromogens

with chemical analysis of creatinine are

avoided. The accuracy of the single

injec-TABLE II

SINGLE INJECTION CLEARANCE CALCULATED FROM

EXTERNAL COL-NTING COMPARED WITH PLASMA SAMPLES AFrER SINGLE INJECTION OF SODIUM

IOTHALAMATE I IN Fovu PATIENTS

C,1(mi/mm)

Patient Age

.5 umber (yr) External Plasma Diagnosis

Counting

4

5

5 6

7 9

49 50

60 60

65 61

86 80

(6)

used and the calculations derived from it.

Experiments have shown4’5 that the

calcula-tion of GFR based on a single compartment

model, which assumes instantaneous

distri-bution of inulin ( or any other substance

handled like it) in its space of distribution

and simultaneous clearance by the kidney,

leads to considerable error-usually in

overestimation of GFR. Clinically, this

method may still be useful if one accepts

values not corresponding to true clearance

values.hl The open two-compartment

sys-tem of Sapirstein, et al. is based on the

assumption that inulin is instantaneously

distributed in the first compartment and

dif-fuses from it to a second compartment,

ac-cording to the gradient which exists. It is

si-multaneously cleared from the first volume

by the kidney. The disappearance curve

can be resolved into two exponential

func-tions; and, when plotted on semilogarithmic

paper, two slopes are obtained (Fig. 1).

Based on this two-compartment model,

sev-eral authors have, indeed, found a good

correlation between the single injection

clearance using sodium iothalamate P25 (or

another labelled substance handled like it),

and the constant-infusion inulin or

creati-nine clearance in dogs1’2 or humans.3’4 We

confirmed these findings in preliminary

studies in the rat, comparing the

single-in-jection clearance with sodium iothalamate

P25 to the constant-infusion clearance with

inulin. It was speculated that the single

in-jection clearance, since it is relatively

sim-ple and has been shown to provide a valid

estimate of GFR, might be especially

help-ful in children as an alternate method to

the creatinine clearance.

Our data show that the correlation

be-tween the creatinine clearance and single

injection clearance is significantly better in

those studies where the serum creatinine

concentration is 0.7 mg/ 100 ml or more

than in those where it is 0.6 mg/ 100 ml or

less. At low serum concentrations, the

preci-sion of the measurement is usually within ±

0.10 to 0.15 mg/ 100, and the relative

accu-able amounts of non-creatinine chromogens.

The range of error of calculated clearance

under these conditions is oven 20%.

The production of creatinine is

propor-tional to the total body muscle mass. This

explains why patients with severe muscle

wasting or infants and children have low

serum creatinine concentrations. Even with

markedly reduced GFR, their serum

creati-nine does not have to be elevated. Three

of the patients studied after renal

trans-plantation

(

studies 3, 6, and 16) are

illus-trative examples of this.

Since the daily excretion of creatinine in

the urine shows a good correlation with the

body weight (or height), the values could

be predicted roughly and compared (using

the equation of Graystone6 with those

ac-tually obtained. By setting an arbitrary

limit of the measured over expected

creati-nine excretion ratio at 0.70, it was obvious

that in 8 of 33 studies (excluding those in

patients with very low GFR) the urine

col-lection was grossly incomplete.

The studies in patients with very low

GFR were not analyzed further because of

the considerable range of error of both

methods in this situation. Since the biologic

half-life of sodium iothalamate 1125 was

much prolonged and the hazard of

irradia-tion was increased, there seemed to be

fewer indications of the single injection

clearance in these patients. Supernormal

values of GFR obtained by both methods

were observed in four patients (studies 1,

8, 10, and 13), three of whom had the

ne-phrotic syndrome in which increased values

of GFR are sometimes found.12

One disadvantage of the single-injection

clearance is the need for frequent blood

sampling. The amount of plasma required

could be reduced to less than 1 ml per

samp’e if higher doses of the radioactive

substance svere injected, but this is not

de-sirable. The problem can be overcome

par-tially by the use of an external counter. The

results obtained in four patients agreed

(7)

simulta-neous plasma counts. However, this method

requires the patient to remain relatively

still during the counting.

IMPLICATIONS

The single-injection clearance with

so-dium iothalamate 1125 is a suitable method

for the routine estimation of GFR in

chil-dren, although it is more expensive and

time consuming than the creatinine

clear-ance. The latter appears to be useful when

urine collections are accurate and when the

serum creatinine concentration is 0.7 mg/

100 ml or more. The accuracy of collection

can be assessed by comparing the measured creatinine excretion with an expected value,

and it can be improved by repeated urine

collections.

The single-injection clearance is more

accurate than the creatinine clearance in

younger children, where a complete urine

collection is difficult to obtain, and when

the serum creatinine concentration is 0.6

mg/100 ml or lower. It is also helpful in

outpatients because of its short duration.

The number of plasma samples required

can be reduced to one by the use of an

ex-ternal counter.

REFERENCES

1. Blaufox, M. D., Sanderson D. R., Tauxe, W.

N., Wakim, K. C., Orvis, A. L., and Owen,

C. A.: Plasmatic diatrizoate-”I disappear-ance and glornerular filtration rate in the dog. J. Physiol., 204:536, 1963.

2. Kountz, S. L., Yeh, S. H., Wood, J., Cohn, R.,

and Kriss, J. P.: Technetium-99m(V)-citrate

complex for estimation of glomerular

filtra-tion rate. Nature, 215:1397, 1967.

3. Farmer, C. D., Tauxe, W. N., Maher, F. T.,

and Hunt, J C.: Measurement of renal

func-tion with radioiodinated diatrizoate and

o-iodohippurate. Amer. J. Clin. Path., 47:9,

1967.

4. Truniger, B., Donath, A., and Kappeler, M.:

Simplified clearance techniques. The single injection method and its modifications. Helv. Med. Acta, 34:116, 1968.

5. Sapirstein, L. A., Vidt, D. C., Mandel, M. J., and Hanusek, C. : Volumes of distribution and

clearances of intravenously injected

creati-nine in the dog. Amer. J. Physiol., 181:330,

1955.

6. Graystone, J. E.: Creatinine excretion during

growth. In Cheek, D. B., ed.: Human

Growth. Philadelphia: Lea and Febiger, p. 182, 1968.

7. Sigman, E. M., Elwood, C. M., and Knox, F.:

The measurement of glomerular filtration rate in man with sodium iothalamate “I

(Conray). J. Nuci. Med., 7:60, 1966.

8. Maher, F. T., and Tauxe, W. N.: Renal clear-ance in man of pharmaceuticals containing radioactive iodine. Influence of plasma bind-ing. J.A.M.A., 207:97, 1969.

9. Dodge, W. F., Travis, L. B., and Daeschner, C. W.: Comparison of endogenous creatinine clearance with inulin clearance. Amer. J.

Dis. Child., 113:683, 1967.

10. Cohen, M. L., Smith, F. G., Mindell, R. S.,

and Vernier, R. L.: A simple, reliable

method of measuring glomerular filtration rate using single, low dose sodium iothala-mate PEDIATRICS, 43:407, 1969.

11. Blaufox, M. D., and Merrill, J. P.: Simplified

hippuran clearance. Measurement of renal function in man with simplified hippuran clearances. Nephron, 3:274, 1966.

12. Metcoff, J., Kelsey, W. M., and Janeway, C. A.: The nephrotic syndrome in children. An interpretation of its clinical, biochemical, and renal hemodynamic features as varia-tions of a single type of nephron disease. J.

Clin. Invest., 30:471, 1951.

13. Folin, 0., and Wu, H.: A system of blood analy-sis. J. Biol. Chem., 38:81, 1919.

Acknowledgment

(8)

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1969;44;905

Pediatrics

Tadasu Sakai, Ernst P. Leumann and Malcolm A. Holliday

SINGLE INJECTION CLEARANCE IN CHILDREN

http://pediatrics.aappublications.org/content/44/6/905

the World Wide Web at:

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