116 HEPATIC CLEARANCE 0F BILTRUBTN IN RABBITS Thesis for the Degree of Ph. D. MICHEGAN STATE UNIVERSITY MARY JEAN LON 1968 [may ._m_£,._,,,,., grim...” L IE 5‘ 4 '3 R ‘3’ MicLigzm Sum University a“ _H A? 1’! u- , ”J .~ ' ‘5‘? 2-; BINDING BY HUM} & SflNS' BOW ”WOW INC. "“2; 1r B'NDERS ABSTRACT HEPATIC CLEARANCE OF BILIRUBIN IN RABBITS by Mary Jean Long The kinetics of bilirubin clearance was studied for the application as an estimation of erythrocyte life span. When the mean red blood cell survival time is known, the activities of the productive and destructive processes can be calculated from the steady state level of hemoglobin con- centration in the circulation. These processes are impor- tant in the diagnosis and treatment of various anemias. In the first series of experiments clearances of fed and fasted rabbits were compared. The small difference noted between the means of these two groups was neither statistically nor biologically significant. The second series of experiments was designed to test the hypothesis that hepatic clearance is independent of dose. The data were fitted to a straight line by the method of least squares. The equation for that line is: y = 38.4 x. From these data the conclusion was drawn that bilirubin clearance in rabbits is independent of the amount of the injected bilirubin solution. The mean cell life span of the erythrocytes of the rabbits was 43 days. HEPATIC CLEARANCE OF BILIRUBIN IN RABBITS By Mary Jean Long A THESIS Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Pathology 1968 DEDICATION Dedicated to all medical technologists. This is one small way in which I can express my sincere thanks to the profession and my hope that I can pass along a little spark of incentive or enthusiasm to continue the acquisi- tion of knowledge and skills. a 4-'_ ACKNOWLEDGMENTS To Dr. A. E. Lewis, sincere gratitude for counsel and guidance in this task, for expertise in performance of the statistical evaluation of the data, for limitless pa- tience and for the unselfish gift of many hours of his time. To the Department of Pathology for providing the original impetus that propelled me on toward this degree, for providing the graduate fellowships and the part time assistantship that supported my progress, and for providing the space and facilities for completing the experimental work and a comfortable corner for study, "Thank you." To my guidance committee, Drs. Morrill, Langham, Lewis and Virginia Mallman, for comments and suggestions in preparation of this thesis, "Thank you." To my colleagues, the fellow graduate students, for advice, companionship, commiseration, and assistance with the rabbits, my heartiest thanks. To MSU for six rewarding years of learning and growing culturally, "Thank you." Is._ TABLE OF CONTENTS INTRODUCTION. . . . . . . . . . LITERATURE REVIEW . . . . . . . Erythrocyte Life Span . Hepatic Clearance of Bilirubin. . The Diazo Reaction. . . Review of Quantitative Bilirubin Methods MATERIALS AND METHODS . . . . . The Rabbit as an Experimental Animal. BilirUbin C O C O O O O Hemoglobin and Packed Cell Volume Chemical Analyses . . . Experiments with Ultraviolet Absorption Chemicals Used in Chemical Analyses . Example of Calculations for One Experime t EXPERIMENTS . . . . . . . . . . RESULTS 0 O 0 O O O O O O O O 0 DISCUSSION 0 O O 0 O O O 0 O O O Hepatic Function Tests. Experiments . . . . . . Formulas and Equations. SUMMARY AND CONCLUSIONS . . . . LIST OF REFERENCES. . . . . . . n I. Bilirubin Clearance and Tolerance Tests. . II. Bilirubin in Amniotic Fluid. . III. Erythrocyte Survival IV. Erythropoiesis and Bile Pigment Formation. V. Methods for Quantitative Determination of Bilirubin. . . . . . VI. Miscellaneous References GENERAL REFERENCES. . . . . . . Page 10 12 15 15 16 l6 17 18 l9 19 22 24 30 3O 32 35 39 41 41 42 42 44 45 46 48 .' .rv LIST OF TABLES Table Page 1. Bilirubin Clearances of Fasting and Nonfasting Rabbits O O O O O O O O O O O O O O O O O O O O O 25 20 Data for DOSE-Area Curve. 0 o o o o o o o o o o o 26 3. Mean Erythrocyte Life Span in Days. . . . . . . . 28 4. Hepatic Clearance of Bilirubin Independent of Dose 0 O O 0 O O O O O O O O O 0 O I O O O O O 0 O 29 LIST OF FIGURES Figure Page 1. Area vs. Dose Curve. . . . . . . . . . . . . . . 27 INTRODUCTION The purpose of this investigation was to study the kinetics of bilirubin clearance with particular reference to its application in the estimation of erythrocyte life span. The measurement of mean erythrocyte life span is an important parameter in the analysis of the mechanisms involved in the production of various kinds of anemia. During any steady state the concentration of hemoglobin (or red blood cells) in the circulation is a resultant aris- ing from the opposing actions of the rate of erythropoiesis by the bone marrow and the rate of destruction and removal of erythrocytes by the reticuloendothelial (R.E.) system. Thus, anemia may arise from inadequate activity by the bone marrow or by a shortening of the life span of erythrocytes arising either from an intrinsic defect in the cells or some extrinsic hemolytic mechanism. When the mean life span of erythrocytes is known, the activities of the productive and destructive processes can be calculated from the steady state level of hemoglobin concentration in the circulation. No distinction between old and young red blood cells can be made by direct examination of blood smears, except for some basophilia and the generally larger size of reticulo— cytes. At present, clinically useful estimates of erythrocyte life span rely on some means of identifying a sample of erythrocytes. (20-41) These may be classified into two groups: 1) cohort labeling and 2) random labeling. Cohort labeling involves the labeling of some build— ing material of the erythrocyte with an isotope. By feed- ing the material over a period of two days, the erythrocytes formed during this interval will be labeled with the isotope. The life span of the labeled cells is determined by observ- ing their persistence in the circulating blood. In a nor- mal subject this may require observations extending as long as 120 days. Random labeling involves taking a random specimen of blood in which, presumably, the representation of each age group of cells in the specimen will be proportional to their relative concentrations in the circulating blood. In random labeling the specimen of blood is incubated with an isotope and reinjected into the circulation. Changes in the concentration of the circulating isotope occur more rapidly than in the cohort method and definite results may be obtained within a few weeks. The method of Ashby (20, 21, 78) represents the first successful technique used for estimation of mean erythrocyte life span and was used as early as 1919. This method involves a transfusion of Group 0 cells into a recip- ient of either Group A or B. At suitable intervals after the transfusion, blood samples from the recipient are treated with the appropriate antisera to agglutinate or hemolyze the recipient's cells, leaving the donor cells in suspension where they can be counted or otherwise measured. Essentially this is a form of random labeling, but has lim- ited practical application because of the difficulty in the measurements and in the hazards involved in transfusion. Most of the above methods yield excellent results but have the severe disadvantage in the requirement of a minimum of two to three weeks before useful results are ob- tainable. In order to overcome this objection it has been proposed that bilirubin clearance be used for the clinical estimation of mean erythrocyte life span. (29, 30, 35) From the measurement of bilirubin clearance the rate of bilirubin formation can be calculated, and since this is chiefly a reflection of the rate of erythrocyte destruction, the frac— tion of total circulating hemoglobin destroyed each day can be calculated. From this fraction the mean erythrocyte life span is readily estimated. LITERATURE REVIEW Erythrocyte Life Span Erythrocyte life span is definite for normal indi- viduals of each species and is never reported increased beyond normal for that species, except for the hibernating marmot and the turtle which have been reported having red blood cells with life spans increased to eleven months. All other abnormalities are represented by shortening of the life span. Measurements of erythrocyte life span have been found useful in the study of unexplained anemias. Ashby accomplished the first measurements of eryth- rocyte life span in 1919. In spite of the objectionable features of her method it remained the only technique avail— able until 1942 when Shemin and Rittenberg (37, 46) began their series of investigations into the biosynthesis of purines and porphyrins. They administered glycine labeled 15 with the nonradioactive isotope N to human subjects and to rats and found that the isotopic nitrogen is incorporated into hemoglobin. Analyses of atom per cent excess of N15 are difficult and require the sophisticated use of a mass spectrograph thus rendering this technique unsuitable for ordinary clinical use. In spite of these difficulties this group under the leadership of I. London (46) employed N15 labeling of hemoglobin to measure the life span of erythrocytes in various diseases and at the same time meas- ured the associated rates of conversion to bile pigments. With these studies it was shown that the mean human eryth- rocyte life span is 126 I 7 days. Thus the classical esti- mates of Ashby were confirmed, but an unexpected finding was that 20-40% of the bilirubin excreted is synthesized from nonhemoglobin sources and from ineffective erythro- poiesis in the bone marrow. (42) Probably the most commonly used technique for the measurement of mean erythrocyte life span in clinical prac- tice is the chromium51 labeling technique. When erythrocytes are incubated in an isotonic solution containing sodium chromate, the chromate enters the cell and is fixed by the cytoplasm. Using the radioactive gamma emitter, chromium Sl (CrSl) random labeling is easily accomplished. An added advantage in the use of a gamma emitter is the possibility of detecting loci of sequestration and erythrophagocytosis by external monitoring. (23) A major disadvantage in the use of Cr51 is the continued elution of the chromate from the erythrocytes while they are in the circulation. The elution rate averages 1% per day, but varies considerably among individuals. Analyses of the time concentration curves are complicated by the combined effects of erythrocyte de- struction, radioactive decay, and variable elution. To avoid complex mathematical analyses, semi-log plots of the data obtained during the first two weeks are fitted to a calculated straight line in order to estimate the apparent biological half-life of the isotope. The result is compared to empirically determined normal values. The normal value for the biological half-life of Cr51 under these circum- stances is approximately 25 days. Because chromium tagging permits external monitoring, this technique will remain in use. However, the method that uses diisopropylfluorophos- phate (DFP) labeled with radioactive phosphorus 32 is the simplest and most reliable. Although phosphorus 32 is a fairly strong beta emitter, it is not as readily monitored with external scintillation counters. DFP is one of a class of organophosphates which bind firmly to cholinesterase. Cholinesterase is present on the surface membrane of the erythrocyte, and incubation of erythrocytes in a solution containing DFP32 labels the erythrocytes randomly. Some elution occurs during the first 5-7 days after injection of the labeled cells, but following this initial brief in- terval the label persists until the cell is destroyed. Another way to estimate the life span of the eryth— rocyte is to calculate hemoglobin destruction rate from the reticulocyte count by dividing the observed number of retic— ulocytes by the normal number. (24) This method gives only an approximation and assumes the presence of adequate eryth- ropoietic response. In another method, hemoglobin destruc- tion rate is calculated from the carboxyhemoglobin concen- tration of the circulating blood. (28, 29, 30, 37, 73) This method cannot be used on smokers or others exposed to car- bon monoxide in large quantities. One other method uses sulfhemoglobin measurements. Hepatic Clearance of Bilirubin Calculation of erythrocytic survival times from data of bilirubin clearance tests was originally accomplished by Lewis and Gershow in 1961. (35) They postulated that in normal individuals the bilirubin concentration is rela— tively stable, the amount excreted being equal to the amount of hemoglobin destroyed and therefore directly related to the life span of the erythrocyte. The rabbit was chosen for the experimental work because of the possibility of toxic reactions to commercially available bilirubin. From the calculations on the rabbit experiments a mean erythro- cyte life span of 51.97 days was determined. Six years later a team of Swedish investigators (29, 30) repeated the experiments of Lewis and Gershow using hu- man subjects to estimate red blood cell survival by means of bilirubin clearance. Five normal individuals, 14 patients with hemolytic anemias and 2 with pernicious anemia were given intravenous injections of bilirubin. Time versus log plasma-concentration of bilirubin curves were plotted for injected doses of 1 mg. per kg. of body weight. Straight lines were obtained in every experiment. A larger injected dose, 3 mg. per kg., produced data which when plotted pre- sented a biphasic curve, with the second part of the curve forming a line parallel to the line obtained with the smaller dose. They compared red cell survival times by three methods: the bilirubin clearance method, the radio-isotope random labeling method (with both Cr51 and DFP32 ) and the carboxy- hemoglobin method. Good agreement was found between the isotope and bilirubin methods, but the isotope and carboxy- hemoglobin methods gave poor correlation. They attributed the wide variation in calculations of red blood cell survival .- _.d___ _-._T time using isotopes to the fact that the observation period was only 26 days. It would be necessary to extend the ob- servation period for a longer time for reproducible results; this reemphasizes the fact that for clinical purposes the isotope methods take too long. Mean values for fractional turnover rate and plasma clearance of bilirubin were of the same magnitude in the normals as in the patients with hemo- lytic disease. This demonstrates that hepatic removal of bilirubin is not affected by anemia. The total amount of circulating bilirubin and the bilirubin turnover rate were higher in the patients with increased hemolysis than in the controls. Individual variations in the fractional turnover rate and plasma clearance of bilirubin were wide. That considerable amounts of bilirubin are broken down into other excretory substances was demonstrated by Ostrow, Jandl and Schmid in 1962. (47) Thus the present method of measuring erythrocyte life span by bilirubin clear— ance gives values that are too high. In the experiments of Ostrow SE.2£¢: only 63-80% of Cl4 labeled cells or heme that was administered to experimental rats was recovered as bili- rubin—C14. On the other hand, when bilirubin is derived . from sources other than hemoglobin (42, 46, 48, 50, 52), this method results in an underestimate of red blood cell life span. Thus in healthy individuals the bilirubin method will give values 15-20% too low. These two factors tend g to equalize one another (48, 49, 52). An analysis of plasma bilirubin disappearance curves was performed by Billings, Williams and Richards in 1964 (3). L Thirty-eight subjects were studied: 7 normals, 22 patients exhibiting various hyperbilirubinemias and 9 close rela- tives of these patients. Again these data, plotted on semi- logarithmic paper, produced biphasic curves. The second portion of each curve had a lesser slope and a lower inter- cept on the ordinate. They injected a single dose of 2 mg./kg. intravenously and calculated various proportional- ity constants from the data: "a," the rate at which bili- rubin leaves the plasma to enter the liver, "b," the rate at which bilirubin is passed back into the plasma and "m," the rate at which unconjugated bilirubin is transferred to the microsomes for conjugation. Nixon and Monahan (8) (1967) reported on the use of the bilirubin tolerance test to diagnose familial non- hemolytic jaundice, Gilbert's disease. Mathematical anal- ysis of their bilirubin disappearance curve showed a marked 10 decrease in the rate of uptake of bilirubin by the liver (Billing's constant "a") and a significant decrease in the slope of the second phase of the curve. The procedure for bilirubin clearance tests imitates closely that of bilirubin tolerance tests; the essential difference lies in the more sophisticated treatment of the data in the determination of clearance (1-11). Von Bergman and Eilbot (1927) (7) introduced the bilirubin tolerance test for clinical evaluation of liver function. They in- jected a single standard dose and drew blood samples for analysis (1) immediately before, (2) at 3 minutes and (3) l at 3 or 4 hours after injection. Results were expressed in percentage retention and varied from 10-20% in normal subjects. In 1943 With (7) modified the procedure taking more frequent blood samples and plotting disappearance of bilirubin from the plasma. He was unable to detect any dif— ference in the characteristics of the curves of the patients with liver disease and those of normal individuals, although the patients with liver disease tended to show high reten- tion values. The Diazo Reaction Paul Ehrlich (65) introduced the use of the diazo reaction for the demonstration of bile pigment in urine. He discovered (1883) that bilirubin reacts with diazotized sulfanilic acid to form a red coupling product. Van den Bergh and Snapper (1913) (65) were the first to utilize the reaction 11 for the determination of bilirubin in serum. The diazo reaction is now the basis of practically all methods for the determination of bile pigment in serum. The general principle of the reaction is that diazonium salt and an "accelerator" are added to diluted serum. The diazo reagent is usually prepared freshly immediately before each deter- mination by mixing an aqueous solution of sodium nitrite (B) with a solution of sulfanilic acid in hydrochloric acid (A). Ehrlich and van den Bergh used alcohol as an acceler- ator. Any substance that renders the unconjugated bilirubin soluble so that it can react with the diazonium salt may act as an accelerator. Actually two chromatographically separable azo pig- ments are formed from the unconjugated bilirubin, but they are regarded as one because they are isomers and have iden- tical spectra in visible light. In slightly acid solution this pigment is red with a maximum absorbance at 540 mu. It also has the prOperties of an indicator, turning blue in alkaline solution with a maximum absorbance at 600 mu. The diazo pigment is much more resistant to light and oxi- dation than the bilirubin alone. Of the known bile pigments that form red compounds during the diazo reaction, bilirubin is the only one found in the blood. Therefore, the formation of a red compound may be regarded as specific for bilirubin in the blood. Diazonium salts also react with other organic substances 12 in the blood, namely the amines and phenols, to form vari- ously colored products. These reactions are referred to as the yellow and brown diazo reactions. Serum proteins produce a yellow reaction as a result of diazotization of histidine and tyrosine, and this reaction occurs with all sera. Uremic sera produce a brown diazo reaction. Review of Quantitative Bilirubin Methods The scientific literature abounds with methods for the quantitative determination of bilirubin (53-71). The Malloy and Evelyn method employing the diazo reaction is probably the best known and most often used. Many modifi- cations of this as well as other diazo methods have been proposed. Jendrassik and Grof used a buffered caffeine- sodium benzoate solution as an accelerator of the diazo reaction and addition of alkali at the conclusion of the reaction to convert the azo pigment to the blue compound. Adaptations of the Jendrassik and Grof method have been published by With (70) who reports, however, that these methods give erroneous results due to the strong transient acceleration of the direct reaction by the addition of the alkali. Nosslin (65) further modified the method of Jendrassik and Grof by replacing the accelerator solution with water and terminating the reaction with ascorbic acid before treatment of alkali. The ascorbic acid combines with the excess diazo reagent. In 1960 Meites and Hogg (58) published a method in 13 which serum is diluted with a pH 7.4 phosphate buffer and read directly in a spectrophotometer at two wavelengths, 455 mu and 575 mu. This method, which is merely an improved icterus index, has disadvantages: (l) lipochrome substances may be present in adult blood with increases in absorbencies at 455 mu, giving false high values; (2) the method tends to be less accurate at concentrations below 1-2 mgs./lOO ml. Minimal amounts of hemoglobin in the serum give falsely low values of bilirubin concentration by the diazo methods although no adequate explanation exists. McGann states, (64) "Qualitative as well as quantitative differences in the effects in individual serum samples make correction of the van den Bergh type of reaction for the presence of hemolysis uncertain at the present time." One solution to the problem of quantitating low con— centrations of bilirubin in sera is to extract the bilirubin from the serum specimen with chloroform, gently evaporate to dryness under a vacuum at a temperature not to exceed 40 C, dissolve the residue in 2.5 ml. of chloroform and read at 450 mu against a solvent blank (18). The disadvantage of this method is that when the chloroform is first added to the serum the proteins precipitate taking an unknown quan- tity of bilirubin with them, since bilirubin is transported in the serum in loose combination with protein, largely al- bumin. In quantitating bilirubin of amniotic fluid which 14 is important in deciding whether to transfuse erythroblas- totic infants in utero or not, minute differences in the concentration of the unconjugated bilirubin have to be measured. (14) Methods have been devised to accomplish this by scanning the fluid at wavelengths from 300 to 700 mu. The net absorbence at 450 mu is obtained by measuring the difference in absorbence at the peak at 450 mu and at the expected slope at 450 mu. The expected slope is obtained by connecting the lowermost portion of the tracing on each side of the peak with a straight line (12-19). MATERIALS AND METHODS The Rabbit as an Experimental Animal The rabbit was used in this research because (1) it is readily available, (2) it is of a satisfactory size and temperament to be handled easily while injecting bili- rubin and drawing the necessary blood samples, (3) it can be housed readily, (4) the ear veins are easy sources of blood samples, (5) it is not affected adversely by bili- rubin (72). Fourteen Dutch Belted female rabbits were purchased and maintained on a standard rabbit pellet diet in individ- ual cages. Bilirubin solution was injected into each rabbit on two separate occasions, once fasting and once nonfasting. A minimum of three weeks between experiments on any one rabbit was maintained to allow for recuperation of the ear veins. The rabbits were weighed at the beginning of each experiment. Vaseline was applied to the ears after each experiment to assist the healing process, eliminating scab- bing and formation of excess scar tissue. The marginal ear vein was used for injections of the bilirubin solution as well as for obtaining the blood samples. Shaving the ear hair with a new razor blade facil- itated withdrawal of the blood samples. A 1 m1. disposable glass tuberculin syringe with a #25 disposable needle were 15 16 used to obtain the blood specimens. Bilirubin Superior grade bilirubin in dry crystalline form was purchased in 1 gm. amounts. The formula weight was 584.68. The designation superior is applied to organic chemicals "having a degree of purity controlled at the highest level consistent with reasonable cost and demon- strated demand" (76). Fresh bilirubin solution was prepared at the beginning of each experiment. One hundred milligrams of the dry chemical were weighed out with a gravimetric balance. Ten milliliters of 0.1 M Na2C03 were heated to boiling, cooled to 80 C and the 100 mg. of bilirubin added to the solution (10). The bilirubin was dissolved by gentle swirling and allowed to cool to room temperature before in- jecting into the rabbit. This solution was clear and had a dark brown color resembling iodine in solution. Hemoglobin and Packed Cell Volume Blood was obtained from the marginal ear veins and transferred into heparinized capillary tubes identical to those used routinely in a hematology laboratory. For each sample of blood, four to eight capillary tubes were filled. The tubes were identified by storing them vertically in a white plastic rack with slots numbered one through eight. Hemoglobin was determined by the cyanmethemoglobin method (74) on the preinjection specimen of each rabbit. 17 Microhematocrit values (packed cell volume) were also deter- mined on the specimens obtained prior to injection of bili- rubin. Chemical Analyses The method chosen for performing the quantitative analysis for bilirubin concentration is an adaptation of the method of Malloy and Evelyn and is referred to as the micro total bilirubin (57). This method is that of Malloy and Evelyn except that all reagents are measured in one-tenth amounts. One hundred lambda of serum are used with a final solution volume of 1.0 ml. The microcuvette used is 10 x 75 mm. and has a light path of 1 cm. One experiment was performed using the ultramicro- method of Knight (60) which utilizes a serum sample of 20 lambda and a final volume of 220 lambda. These determina- tions were read in a Coleman Jr. spectrophotometer using an ultramicro cuvette which is rectangular and requires only 100 lambda final volume yet provides a light path of 1.0 cm. Standards for the bilirubin determinations were pre- pared by weighing out 20.0 mg. of dry crystalline bilirubin on a gravimetric balance, dissolving in chloroform in a 100 ml. volumetric flask and filling to the mark with the solvent. This was labeled "Stock Bilirubin Standard, 20.0 mg./100 ml." Ten milliliters of the stock standard were diluted to 100 ml. with absolute methyl alcohol (CH3OH). Dilute standards were made by adding 2 ml., 3 ml., 4 ml. or 5 m1. of this dilute 18 standard to numbered test tubes and bringing the final vol— ume to 10 ml. with absolute CH3OH in each tube. Nine-tenths of a milliliter of each of these dilute standards and 0.1 m1. of fresh diazo AB reagent were added to matched micro cuvettes (10 x 75 mm.). The rack of cuvettes containing the reacting standards was placed in the dark for 30 minutes. The per cent transmittance of each solution was read at 540 mu at the end of this reaction period. The wavelength of 540 mu was predetermined by running maximum absorbence curves on the spectrophotometer with suitable bilirubin solutions treated with diazo reagent identically as in the test itself. Suitable solutions are defined here as solutions that by trial give readings in the range of 20 to 60% transmittance over the wavelengths tested. Readings outside this range represent solutions that are either too light or too dark for accurate photometry. In other words, the error increases disproportionately when the transmittance is less than 20% or more than 60%. Lambda pipettes were used to measure all the volumes of 100 lambda or less. Experiments with Ultraviolet Absorption The absorption spectrum of bilirubin in the UV range (230-280 mu) was explored to see if any absorption peaks were present that could be used for simpler micro-analytic procedures. If any peaks exist they are obliterated or ob- scured by the protein present and no improvement over exist- ing methods was possible. 19 Chemicals Used in Chemical Analyses Absolute methanol: the methyl alcohol used in the chemical analysis conformed to American Chemical Society specifications for reagent methanol. Dilute hydrochloric acid: 15 ml. of concentrated hydrochloric acid, reagent grade, USP specifications were diluted to one liter with distilled water. Sodium nitrite: 0.5 gm. pure sodium nitrite was dissolved in 100 ml. distilled water (Diazo B). Sulfanilic acid: One gram of dry sulfanilic acid was placed in a one-liter volumetric flask; 15 ml. of con- centrated HCl were added and distilled water added to the mark (Diazo A). Diazo Reagent: 0.3 ml. sodium nitrite solution were added to 10.0 ml. of sulfanilic acid solution and mixed (AB). Example of Calculations for One Experiment I. Fitting the data to a straight line by the method of least squares (75): The formulas for finding the best "fit" of the ex- perimental data to a straight line described by the equation y = A x + B are: 23y = A z x + n B 21xy = A 2 x2 + B z x in which B is the intercept on the ordinate and A is the slope of the straight line given by the formula logP=B + At x P Time Conc. in y min. mg./100 ml. log conc. xy 0 .4 6.5 13.3 1.1239 7.3054 11 14.0 1.1461 12.6071 22 7.8 .8921 19.6262 27 8.1 .9096 24.5592 44.5 4.5 .6542 29.1199 62 3.8 .5763 35.7306 Dose: 4 ml. x 6.63 mg./100 ml. = 26.52 mg. Q = 26.52 wt. 2.5128 0 = 10.4 mg./kg. 5.3022 = 173 A + 68 128.94 = 7200.5 A + 1738 152.8624 = 4987.59 A + 1738 — 23.92 = 2212.9 A A = —.0108 5.3022 = -1.8684 + 6B GB = 7.1706 B = 1.195 log P = the data) II. Fractional clearance %-= .02484 %-= 2.3 x slope 20 42.25 121.00 484.00 729.00 1980.25 3844.00 Hb = 1106 gmo/ 100 ml. Hct = 36% P' = 004 “190/ 100 m1. log P = y time = x injected = rabbit 2.5128 kg. 1.195 -.Ollt (equation for the line that fits 21 A1 A2 = 0.0226 III. Area under curve: mg./100 m1. Time conc. ._ in min. At. P 2P 0 15.7 6.5 6.5 13.3 29 11.0 4.5 14.0 27.3 22.0 11.0 7.8 21.8 27.0 5.0 8.1 15.9 44.5 17.5 4.5 12.6 62 17.5 3.8 8.3 3.8 A2 = 2U3£ .011 = 152'00 _ mg. min. A total _ 650.00 100 m1. IV. Mean cell life: C (l—Hct) P' .025 x 0.4 x .64 F = 4114 x 11.6 1 F = 4402 2A Po is determined from the intercept 188.5 of the ordinate on 122.85 the graph of the 239.8 straight line for 79.5 the equation log P 220.5 = 1.195 - 0.11 t. 145.3 J 996.45 498.225 152.00 650.00 Mean cell life for the erythrocytes of this rabbit is 44.2 days. V. Clearance: C: >K) [—1 0.4 mg. 7 750 mg. min.7100 m1. = 1038 mlo/mino ~7Tr EXPERIMENTS At the beginning of each experiment the rabbit was weighed and a sample of blood obtained for measuring the base-line bilirubin level, hemoglobin concentration, and packed cell volume. The bilirubin solution, prepared as 57 described in Materials and Methods, was poured into a ster- ile 10 ml. syringe, the barrel inserted, air carefully ex- pelled and the barrel marked at the level of the top of the chamber of the syringe. Using a No. 23 hypodermic needle, 1r“- the bilirubin solution was injected very slowly into the marginal ear vein, pausing from time to time to prevent build-up of pressure within the vein. At the completion of the injection the needle was slowly and gently withdrawn with a pledget of cotton applied to the area with pressure until the danger of hematocyst formation had passed. The barrel of the syringe was again marked at the end of the injection, for later measurement of the exact volume of bilirubin solution injected. A stop watch was started im- mediately upon removing the needle from the vein. At ap— proximately 5, 10, 15, 30, 45 and 60 minutes, blood speci- mens were taken from the marginal vein of the opposite ear using a No. 25 needle and a disposable 1 m1. tuberculin syringe. The exact time of withdrawal of each specimen to the nearest second was noted. Heparinized capillary tubes 22 23 were filled from the syringe and one end sealed with plasti- cene. At the end of the sampling period the capillary tubes were centrifuged for 5 minutes in a high-speed microhemato- crit centrifuge. Packed cell volumes were read on the base- line specimens and recorded for later calculations of mean cell life span. Micro total bilirubin tests were performed on the blood samples according to the Hogg and Meites (57) adapta- tion of the Malloy and Evelyn method as detailed above. Per cent transmittance was read in the Coleman Jr. spectro- photometer, converted to optical density and multiplied by a factor predetermined by calculation from the readings of the standards to yield a concentration in mg. per 100 m1. Two experiments were done on each rabbit, one with the rabbit fasting and one nonfasting. For the fasting experiment the food dish was removed from the cage approx- imately 18 hours before the start of the experiment. Water was available to the rabbit at all times. VT RESULTS The first series of experiments to determine the effects of gastrointestinal (and therefore, indirectly, hepatic) blood flow changes compares the clearances of fed and fasted rabbits. The results are summarized in Table l. The small difference noted between the means of these two groups is neither statistically nor biologically significant. The second series of experiments is designed to test the hypothesis that hepatic clearance is independent of dose. If this hypothesis is false, the deviations of a linear plot of the areas derived from the time-concentration curves as a function of dose should show a consistent rather than a random scatter about the line. The numerical data of this series of experiments are summarized in Table 2. These data, fit to a straight line by the method of least squares, are shown in Figure 1. During the course of this study, we obtained data on 14 rabbits for the estimation of erythrocyte life span. The calculated life spans are summarized in Table 3. The mean cell life of the red blood cells of the rabbits in these experiments is 43 days. Table 4 summarizes the measurements of the hepatic clearance of bilirubin. Note that the variation, as indi— cated by the relationships of the standard deviations to the mean, are comparable in both Tables 3 and 4. 24 25 TABLE l--Bilirubin Clearances of Fasting and Nonfasting Rabbits Nonfasting Fasting Experiment Clearance in Experiment Clearance in number ml./min./kg, number m1./min./kg. 10 2.81 15 2.37 14 3.95 16 2.57 17 1.84 18 1.91 19 2.16 13 5.21 20 1.89 21 1.33 23 3.49 22 3.35 Mean clearance 2.69 Mean clearance 2.79 S.D. 0.88 S.D. 1.36 t = 2004 5% < P < 10% 26 TABLE 2-—Data for Dose-Area Curve Experiment number Dose in mg./kg, Area 10 16.7 593 13 2.66 52 14 5.87 149 16 8.8 341 17 10.4 564 18 10.0 524 19 6.22 287 20 3.6 191 21 15.1 1135 22 6.47 192 23 35.9 1028 y = 38.4x Standard error of estimate = 215.27 Y ‘1 27 Area in mg. min./100 m1. 1200? 1000“ 80:3 1 600' 400 O Fasting 2001- . Nonfas ting 0 Dose in mg ./kg., 0 e . . . L Figure 1. Area vs. Dose Curve 28 TABLE 3--Mean Erythrocyte Life Span in Days Rabbit Mean Cell Life in Days 1 40.44 2 65.87 3 47.53 4 38.91 5 25.71 6 39.37 7 74.23 8 17.15 9 51.81 10 85.17 11 47.68 12 33.22 13 21.46 14 20.92 Mean calculated life span = 43.0 days S.D. 20.3 days 95% confidence limits of mean I 10.9 29 TABLE 4-—Hepatic Clearance of Bilirubin Independent of Dose No. mg./kg. m1./min./kg, Experiment Dose Clearance 13 2.66 5.21 20 3.60 1.89 14 5.87 3.95 19 6.22 2.16 22 6.47 3.35 16 8.8 2.57 18 10.0 1.91 17 10.4 1.84 21 15.05 1.33 10 16.7 2.81 15 25.4 2.37 23 35.91 3.49 Mean = 2.74 m1./min./kg. S.D. = 1.09 95% confidence limits of the estimated mean i 0.64 DISCUSSION Hepatic Function Tests The liver plays such an important role in the ani- mal body that the study of methods for testing its functional ability has always attracted considerable interest. The bilirubin tolerance or clearance test is one method for testing one of the many diverse functions of the liver, that of excretion of waste products from the blood. This test is important in the diagnosis of mild liver injury where plasma bilirubin concentrations are not elevated. Usually the test is reported as per cent retention of bili- rubin when it is used as a tolerance test. In the bilirubin clearance test the bilirubin solu- tion, which before injection gives a direct van den Bergh reaction with diazo reagent, is adsorbed by the plasma pro- teins as soon as it enters the circulation and the van den Bergh reaction becomes indirect. This can readily be demonstrated by adding a solution of bilirubin to blood serum in vitro. Indirect reacting bilirubin is not excreted through the kidneys. Neither is it stored by the Kupffer cells of the liver as occurs with other foreign pigments injected into the blood stream. The bilirubin is not phagocytized by the R.E. cells; it is totally excreted by the liver. The rate of excretion of bilirubin injected intravenously 30 31 may therefore be used as a test for liver function, specif- ically a test of the clearance of bilirubin from the plasma by the liver. Clearance is a term used to denote the excretory capacity of the kidney. Lewis (74) applied the methods and concepts of renal clearance to hepatic clearance in 1950. Bilirubin clearance measurements can be used for F“‘ two purposes both clinically and in the study of small ani- mals. Bilirubin clearance provides: (1) directly, a meas- ure of one function of the liver, and (2) indirectly, the mean life span can be determined using additional hematologic data. Although a quantitative estimate of the function of the liver is provided by measurements of the clearance of bromsulfalein (Lewis, 1950), (74) the clearance in this instance is dependent both on the activity of the hepatic parenchyma and the blood flow to the liver. The data pre- sented here demonstrate that bilirubin clearance does not change with blood flow to the liver, since the clearance measurements on fed and fasted animals are essentially the same, differing by about 5% of the mean. Similar studies with bromsulfalein show a drop of about 40% in clearance when the animal is fasted. The rabbit is particularly suit- ed for studies to determine the effect of hepatic flow. Being a herbivore it has an unusually large gastrointestinal tract with a correspondingly abundant blood supply. 32 Undoubtedly there are large changes in the blood flow through this tract and through the portal vein, depending upon the activity of the bowel. The large effects of fasting demon- strated by Lewis in his measurements of bromsulfalein clear- ance substantiate this idea. Experiments Aside from the potential clinical utility of the bilirubin clearance test, demonstration of its applicability in rabbits provides an important investigative tool for evaluation of the toxic effects of drugs as well as other '1. physiologic variables of interest. Hepatotoxicity is gen- erally easily recognized, but demonstration of possible de- pressant effects on the activity of bone marrow is generally far more difficult. Ordinarily, changes in bone marrow activity are detected by routine hematologic measurements, such as hemoglobin (Hb), red blood cell (RBC) count, packed cell volume (PCV), and reticulocyte count. Assuming that the mean erythrocyte life span in the rabbit is 60 days, it follows that complete cessation of bone marrow erythro- poiesis would have to persist for as long as six days before a drop in Hb concentration of 10% would provide definite evidence of defective function. Incomplete depression of erythropoietic rate would, of course, require still longer time intervals before manifestation. Since reticulocytes are the youngest cells of the erythrocytic family normally in the circulation, complete 33 depression of erythropoietic activity would be accompanied by complete and immediate disappearance of these cells from the peripheral blood. However, a partial depression amount- ing, for example, to 50% would merely reduce the reticulo- cyte count from 1% to 0.5%. If the estimation of the retic- ulocyte percentage were precise, it could be used as a direct index of marrow activity. Unfortunately, this measurement depends on the direct enumeration of supravitally stained reticulum filled cells, and counts of this kind show the statistical variation characteristic of the Poisson distri- bution. This inherent statistical error is so large that it is not feasible to distinguish between a reticulocyte count of 1% from one of 0.5%. Recently Maturen (77), work- ing in this department, showed that reticulocyte counts may be reliably estimated from the magnesium content of packed cells. Combined with the measurement of mean red blood cell life span, using the bilirubin clearance, a fairly complete picture of the hematologic situation, so far as erythrocytes are concerned, can be obtained. Thus, for example, if hemo— lytic anemia were present in a rabbit so that the mean erythrocyte life span was diminished to about 30 days, pre- sumably there would be compensatory hyperplasia of the bone marrow. Assuming reticulocytes represent approximately one day old cells in the rabbit as they do in humans, the retic- ulocyte count would reach 2% when the steady state was at- tained. From this figure alone it would not be possible 34 to determine whether this represented a transient response of the marrow or an established compensatory hyperplasia. The bilirubin clearance added to the data would reveal that the rate of destruction of cells, and therefore the rate of erythropoiesis was doubled. The clearance value inde- pendently would reveal any associated damage to the liver. Before these valuable possibilities of the bilirubin _m— clearance could be used with confidence the investigations A summarized in this study were essential. The investigations E of Engstedt, Johansson, and Nyberg (28, 29, 30) revealed I' ALL".a-"IJ . J that the time concentration curve of serum bilirubin after ',§ large injections was biphasic. This biphasic curve would be consistent with two possible explanations. First, since it has been established that the excretion of bilirubin in- volves a series of enzymatic, energy consuming processes within the hepatic cell (44), high levels of serum bilirubin might inhibit regulator enzymes, permitting the excretory mechanism to operate at an accelerated rate. Such is common in enzymatic processes. If this were the case, clearance would vary with dose or serum level and could not be used either as a measure of hepatic function nor as a means of estimating mean erythrocyte life span. On the other hand, the biphasic character could just as easily be explained on the basis of the rates of diffusion from the plasma to the tissues and back again. This process would be independ- ent of hepatic activity, and therefore calculation of 35 clearance from the area of the time-concentration curve as a more or less fixed parameter would be valid. The inde- pendence of the clearance estimate as related to blood flow suggests that the limiting process is the concentration of bilirubin at the hepatic cell membrane. The demonstrated independence of clearance as a function of dose is consis- tent with the hypothesis that the biphasic curve of time he plasma concentration represents the effects of diffusion of bilirubin to and from the extravascular spaces. F Formulas and Equations The clearance of a compound is the volume of circu- lating plasma cleared of that compound in a given interval of time. Under normal conditions the bilirubin concentra— tion in the circulating plasma is constant. Bilirubin is excreted at the same rate that it is formed and conversely, it is formed at the same rate that it is excreted. If R is the rate of bilirubin formation in mg./min. and P is the concentration of bilirubin in the circulating plasma reported in mg./ml. then C, the clearance of bilirubin from the plasma in m1./min., is equal to R divided by P. Hepatic clearance of bilirubin can be represented by the formula'% where Q is the dose, the amount of injected bilirubin solution in mg. This value is then divided by the weight of the rabbit in kg. to eliminate an added 36 variable, the size (or weight) of the rabbit. A is the area under the curve (in mg. min./ml.) plotted from the data from the experiments.oC Mathematically A can be represented by the integral d}7(P-P')dt, in which P is the plasma concen- tration of bilirubin at a given time, t, and P' is the con- centration of bilirubin before the injection. Therefore, clearance is reported in ml./min./kg. Table 4 summarizes the measurements of the hepatic . 'r “wen"- any: clearance of bilirubin. Note that the variation, as indi— cated by the relationships of the standard deviations to " 1H. the mean, are comparable in both Tables 3 and 4. This would be consistent with our view that the variation in estimates of the erythrocyte life span may be attributed as much to the unfavorable conditions as to the precision of the tech- nical methods. To a large extent these difficulties were unavoidable, since many of these studies were conducted dur- ing the summer heat. It was not feasible to allow drinking water for the animals during the experiments, and even though the observation periods were generally little more than an hour, substantial water losses in such small animals can occur during this interval in warm environments. It can be concluded from these experiments that there is no significant difference in the fraction of plasma volume cleared per minute in the fasting and nonfasting rabbits. The fraction of volume cleared per minute is ob- tained from the slope of the line obtained by applying the 37 method of least squares to the time-plasma concentration data of the experiments. Each experiment has an equation derived from the experimental data. The aforementioned equation describes the best straight line "fit" for the points given by the data. The slope is the fraction that describes the relationship of the logarithm of the concen- tration of bilirubin in each timed specimen to the time in ‘TL- minutes of that specimen. The fraction of plasma volume cleared per minute is E-and is obtained by multiplying the V slope of the line by 2.3 to convert a logarithmic number to a real number. 1~J Bilirubin clearance data were applied to the calcu- lation of red blood cell survival time using the equation (35): C (l-Hct) P' F = 4114 V Hb in which F is the fraction of total hemoglobin destroyed daily, Hct is the packed cell volume expressed as a decimal g'is the fractional clearance obtained as explained above, Hb is the concentration of hemoglobin in gm./100 ml. fraction, blood. The constant 4114 combines converting minutes to days and milligrams bilirubin to grams hemoglobin. The con- centration of bilirubin is expressed in mg./ml. Thirty-five milligrams of bilirubin are formed from every gram of hemo- globin destroyed. The mean cell life is the reciprocal of F. The results of the computations of red blood cell sur- viAral times for the 14 rabbit experiments are summarized 38 in Table 3. These estimates manifest considerable variation reflecting the considerable variations in the health of the rabbits used in this study. Although these data would not be satisfactory for determining the mean life span of eryth- rocytes in this species, the design of the experiment in terms of the hypotheses to be tested is still valid, as are the conclusions. .__ The mean cell life of the red blood cells of the rabbits in these experiments is 43 days. That determined by Lewis (35) in 1961 was 51.97. The literature gives the value of 50-70 days by the N15 and Fe59 isotope methods (22), 30-64 days by the Ashby (20-21) technique of differential agglutination, 43 days by sulfhemoglobin method (29), and 45-50 days by radio-iron-tagged red blood cells (Burwell) (35). The red blood cell survival time of 43 days agrees with those reported in the literature. SUMMARY AND CONCLUSIONS The purpose of these experiments was to study the kinetics of bilirubin clearance with particular reference to its application in the estimation of erythrocyte life span. When the mean red blood cell survival time is known, r- the activities of the productive and destructive processes v. in - 2‘7; can be calculated from the steady state level of hemoglobin concentration in the circulation. These processes are im- num' ‘Wh portant in the diagnosis and treatment of various anemias. Hepatic clearance of bilirubin in rabbits was meas- ured 23 times. From the data resulting from mathematical treatment and evaluation of the experimental data three conclusions are derived: 1. Hepatic clearance of bilirubin in rabbits varies widely among animals but no significant difference was found between fasting and nonfasting rabbits. 2. Bilirubin clearance in rabbits is independent of the amount of the injected bilirubin solution. 3. Bilirubin clearance may be applied to the cal- culation of erythrocytic life span. The mean red blood cell survival time calculated from 14 rabbits' bilirubin clear- ances is 43 days. This figure agrees with values reported in the literature for other methods of determining the life span of rabbit erythrocytes. 39 REFERENCES ma. LIST OF REFERENCES BILIRUBIN CLEARANCE AND TOLERANCE TESTS 1. 2. 10. 11. Arias, I. M.: Hepatic Aspects of Bilirubin Metabolism. Annual Review of Medicine, 17:257-274, 1966. Arias, I. M., Johnson, L., Wolfson, S.: Excretion of Injected Bilirubin. Amer. J. Physiol. 200:109—201, 1“ 1961. Billing, B. H., Williams, R., Richards, T. G.: Defects in Hepatic Transport of Bilirubin in Congenital Hyper— bilirubinemia: an analysis of plasma bilirubin disap- pearance curves. Clin. Sci. 27:245-257, 1964. Guyton, A. C.: Textbook of Medical Physiology. W. B. J Saunders Company, Philadelphia, 319-347, 1958. Harrop, G. A., Barron, E. S. 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A Com- prehensive Treatise, Academic Press, N.Y., 1964. Brauer, R. W.: Congress on Liver Function. Amer. Insti- tute of Biol. Sci., Publication #4, Washington, D.C., l 9 5 8 o Pf an.“ Copenhaver, W. M., Johnson, D. D.: Bailey's Textbook of Histology. Williams and Wilkins Co., Baltimore, [ Md., 1958, p. 325. Fallstrom, S. P., Bjore, J.: Endogenous Formation of CO in Newborn Infants. Acta Ped. Scand. 57:137-144, 1968. ”- hag- Fog, J., Bakken, A. F.: Conjugated and Unconjugated Bile Determinations in Icteric Sera by Direct Spectro- photometry. Scand. J. Clin. Lab. Invest. 20:88-92, 1967. Hoffman, W. S.: The Biochemistry of Clinical Medicine, third edition, Chicago Yearbook publishers, 1964. Leevy, C. M.: Practical Diagnosis and Treatment of Liver Disease. Hoebner-Harper, N.Y., 1957. Martinek, R. G. Improved Micro Method for Determination of Serum Bilirubin. Clin. Chem. Acta 13:161-70, 1966. Meites, S., Traubert, J. W.: Use of Bilirubin Standards. Clin. Chem. 7:1965. London, I. M.: The Metabolism of the Erythrocyte. The Harvey Lectures, Series 56, 1961, Academic Press, Inc., London. Page, L. B., Culver, P. J. A Syllabus of Laboratory Exam- inations in Clinical Diagnosis, Revised Edition, 1962. Harvard University Press, Cambridge, Mass. Prankerd, T. A. J. The Red Cell. Oxford, Blackwell Sci- entific Publications, Ltd., 1961. 48 49 Rand, R. N., diPasqua, A.: A New Diazo Method for the Determination of Bilirubin. Clin. Chem. 8:1962, 570-578. A Uniform Bilirubin Standard. Recommendations of the College of Amer. Pathology Stds. Committee. J. Clin. Path. 39:90-91, 1963. Am. VITA Born: March 28, 1914, in Duluth, Minnesota, as Mary Jean O'Brien High School Completion: East Grand Rapids, Michigan, 1931 8.5., Michigan State University, 1935, Chemistry FT?- Married, 1936, to Lt. Frederick C. Long, U.S.A.F. Children: Lora Elizabeth Rikans, 3.3. and M.S., M.S.U. in I Foods and Nutrition, presently in biological research at Dow Chemical Company in Midland E;J Christopher Eugene Long, B.S., M.S.U., presently completing a Ph.D. in solid state physics at Florida State University Laboratory Technician, Parke, Davis and Company, 1935-1937, Detroit, Michigan Registered M.T. (ASCP), 1954 Laboratory Technician, Blodgett Memorial Hospital, 1951-54 Medical Technologist, Blodgett Memorial Hospital, Grand Rapids, Michigan, 1954-59 M.S., Michigan State University, 1961, Biochemistry Supervisor Clinical Chemistry, Blodgett Memorial Hospital, Grand Rapids, Michigan, 1960-62 Instructor, Department of Pathology, Michigan State Univer- sity, 1962-66 Member of The Lansing Society of Medical Technologists, The Michigan Society of Medical Technologists, The American Society of Medical Technologists, Associate Member of Sigma Xi, Honorary Member of Alpha Delta Theta, Member of Sigma Delta Epsilon. Registered with The National Registry of Clinical Chemistry, 1968 Awards: Warner-Chilcott Scholarship, 1959 Dow Chemical Company Fellowship, 1960 Hilkowitz Award for original research, 1961 Scientific Products Foundation Award, First in Biochemistry, 1961 American Society of Medical Technologists, Third award, 1966 M.S.U. Graduate Office Tuition Scholarship, 1966-67 M.S.U. Graduate Office Fellowships, 1967, 1968 TY 1111111111“ "71111111111131“[11111111111