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The Use of Body Surface Area as a Criterion of Drug Dosage in Cancer Chemotherapy* DONALDPINKEL (Department of Pediatrics, Roswett Park Memorial Institute and University of Buffalo School of Medicine, Buffalo, N.Y.) The relationship between body surface of animals and various parameters of their physiol ogy has been observed over many decades. Rubner (17), in 1883, pointed out that small animals utilized relatively more oxygen and produced rela tively more heat than larger animals. He explained that smaller animals had relatively larger surface areas than larger animals and demonstrated that oxygen utilization and caloric expenditure were similar for various mammalian species and differ ently sized members of the same species when com puted on the basis of body surface (2). These observations have been confirmed and extended to man by many investigators, and it has long been standard practice to express human basal metabol ic rate in terms of body surface area rather than body weight (8). Dreyer and Ray (6, 7) found that the ratio of blood volume to body weight in rabbits, guinea pigs, and mice decreased with increasing animal weight, but that the relation of blood volume to body surface area was constant. Gibson and Evans (11) found surface area useful for estimation of normal blood volume. Griffin et al. (12) measured plasma volume, "available thiocyanate space," and total circulating plasma proteins in normal adults and found better correlation of these data with body surface area than with either height or weight. Baker and Kozoll (1) determined plasma volumes and total blood volumes in 150 normal adults using iodinated human serum albumin labeled with I131and hematocrit determination. The ratio of blood volume to body weight was not constant, but a direct linear relationship was found to exist between body surface area and blood volume, and the authors concluded that surface area was the single most useful basis for deciding the normal total blood volume of an individual. * Supported in part by funds contributed to Health Re search, Inc., by the New York State American Legion Auxilia ry, and by United States Public Health Service Grants CY8527 and CY-3900. Received for publication February 28, 1958. Grollman (13) determined the cardiac outputs of normal 20-30-year-old individuals in the basal, resting condition and noted that his results corre lated well with the body surface areas of the subjects. The relation between renal function and body surface area has been discussed by Smith (18). The total number of glomeruli and kidney weights in various species of mammals is directly proportion al to their surface areas but not their weights. Furthermore, although the ratios of kidney weight to body weight are much different for the rat, the dog, and man, their ratios of kidney weight to sur face area are almost identical. The Addis urea excretion ratio varies directly with kidney weight in the rat, the rabbit, and the dog, and with the calculated kidney weight in man, so that one may construe a direct relationship extending through several mammalian species of this renal function measurement and body surface area. Urea clear ance and glomerular filtration rate have been shown to be proportional to body surface area in children. The same holds true for adults, and Smith concludes that the comparison of renal function on the basis of surface area cannot be im proved at the present time. In clinical medicine it has been found practical to use body surface area to gauge the needs of patients for parenteral fluids and electrolytes (21). Thus, the normal water requirement of the young infant demanding approximately 100 ml/kg of water for daily maintenance and the adult needing only 50 ml/kg daily are both met by administra tion of approximately 2 1 of water/sq m of body surface daily. The caloric requirements of infants and children, which generally are progressively lower in relation to body weight with increasing age, are almost identical for all ages and weights when related to body surface area.1 Crawford et al. (3) divided a number of patients into four groups according to their surface areas 1G. B. Stickler and D. Pinkel, Calculation of Nutritional Allowances for Infants and Children on the Basis of Body Surface (submitted for publication). 8.53 Downloaded from cancerres.aacrjournals.org on April 28, 2017. © 1958 American Association for Cancer Research. Cancer Research 854 and gave all the same dosage of sulfadiazine. Blood sulfonamide levels were obtained at similar times after administration and were found to have a linear relationship to the sulfadiazine dosage. This experiment was repeated with acetylsalicylic acid, and again this relation was obtained. They also re ported the successful clinical use of surface area as the criterion of drug dosage in infants and children for a wide range of medications. On the basis of the foregoing information, it was considered that body surface area might be useful as a standard of drug dosage in cancer chemo therapy studies in laboratory animals and in man. Vol. 18, August, 1958 tive member of each animal species and for humans were calculated. RESULTS In Tables 1, 2, 4, and 5 it can be seen that the doses per unit of body weight of mechlorethamine, methotrexate, actinomycin D, and TSPA are greater in smaller animals than in larger ones, and higher in children than in adults. The doses per unit of surface area are nearly similar for all species and for all ages of humans. The usual dose of 6-mercaptopurine (Table 3), when expressed as mg/unit of body surface area, is higher in human TABLE 1 MECHLORETHAMINE DOSAGE Subject Mouse Hamster Rat Man Weight (kg.) 0.018 0.050 0.25 70.0 Surface area (sq. m.) 0.0075 0.0137 0.045 1.85 Total dose (mg.) 0.072 0.15 0.5 21-28.0 Total dose/kg (mg.) 4.0 3.0 2.0 0.3-0.4 Total dose/sq m (mg.) 96 10.9 11.1 ll.S-15.1 TABLE 2 METHOTREXATE DOSAGE Subject Weight (kg.) Mouse 0.018 Rat 0.25 Infant 8.0 Older child 20.0 Adult 70.0 * Generally accepted doses for Surface area (sq. m.) Dose/day(mg.)0.0270.1251.25*2.5*5.0*Dose kg/day(mg.)1.50.50.150.120.07Dose/sq m/day(mg.)3.62.83.13.12.7 0.0075 0.045 0.4 0.8 1.85 infants, children, and adults, respectively. MATERIALS AND METHODS The available data concerning the appropriate therapeutic dose ranges of mechlorethamine, methotrexate, 6-mercaptopurine, actinomycin D, and triethylenethiophosphoramide (TSPA) in humans and in certain laboratory animals were gathered from the literature (4, 5, 9,10,14-16, 20). Surface areas for the laboratory animals were calculated according to Meeh's formula (8) : A = K X W* where "A" represents surface area expressed in sq. cm., "K" is a constant for each animal species, and "W" is the weight in gm. The weights used in the formula were representative of each species that is commonly utilized in chemotherapy screen ing programs. Surface area for man was deter mined from nomograms constructed according to the formula of Dubois (8). From the available information, the dosages per unit of surface area of each drug for a representa- adults than children. This might be correlated with the observation that adults are generally in clined to develop earlier and more severe toxicity than children when given 6-mercaptopurine in a dosage of 3 mg/kg of body weight. Conversely, the dose per square meter in infants and children is lower, which correlates with the observation that young children are inclined to tolerate 3 mg/kg for long periods without evidence of toxicity. DISCUSSION In estimating the appropriate amount of a compound to be administered to a patient or a laboratory animal, it has long been customary to use body weight as the main criterion. However, since the activity of most drugs depends on their role in some physiologic process or function, it would seem more reasonable to use a criterion which correlates better with known parameters of mammalian physiology. As explained above, body surface area appears to be such a criterion. Downloaded from cancerres.aacrjournals.org on April 28, 2017. © 1958 American Association for Cancer Research. PINKEL—Body Surface Area in Cancer Chemotherapy Since methotrexate, 6-mercaptopurine, and actinomycin D are excreted by the kidneys, it is possible that their dose/sq m relationship is in large part due to the correlation of renal function with body surface area. Clinical experience indi cates that individuals with impaired renal function have an increased susceptibility to these agents. One objection to the use of body surface area in measuring drug dosage is the variation in physical and chemical activities among various species, among different individuals within the same species, and in the same individual at different times. This same objection applies to any criterion, however. The advantage of surface area still stands out, since any differences in tolerated drug dosages, for example, are true differences and not artefactual as they may be when body weight is used—a criterion that does not correlate as well with those physiologic parameters that are measurable at present. Another objection is the difficulty in measuring body surface. For practical reasons, a formula must be used which utilizes weight and a constant in animals, and weight and height in man. The reliability of Meeh's and of Dubois' formulas has 855 been contested, but they do give rough approxi mations and should be accepted not as methods of precise measurement of surface area but as a means of achieving more nearly correct compari sons among individuals and species. The determi nation of body surface areas by these formulas is neither arduous nor time-consuming. For animals, the constant, "K," may be obtained from the Handbook of Biological Data, and the square of the cube root of the weight can be obtained from a logarithm table. For humans, the height and weight are used to estimate surface area from the nomogram constructed according to the formula of Dubois. It is the policy of this Pediatrie Service to use body surface area as the criterion for dosage of certain anti-cancer chemotherapeutic agents as well as for all other drugs and parenteral fluids. SUMMARY The rationale for the use of body surface area as the criterion of dosage in anticancer chemo therapy has been outlined. The similarity in the dosage per unit of surface area of methotrexate, mechlorethamine, actinomycin D, and TSPA for TABLE 3 6-MERCAPTOPURINE DOSAGE Surface area (sq. m.) 0.0075 0.045 0.48 0.4 childAdultWeight(kg.)0.0180.2510.08.020.070.0 0.8 1.85 Dose/day(mg.)0.645.060.025.0 m/day(mg.)8511112568 SubjectMouseRatDogInfantOlder 50.0 68 200.0Dose/kg/day(mg.)40206*8t3tatDose/sq 108 *From dog toxicity data of Philips et al. (15); represents daily dosage for two weeks that did not cause fatal toxicity. t 3 mg/kg daily to the nearest 25 mg. is the generally accepted dosage in humans for all age groups. TABLE4 ACTINOMYCIN D DOSAGE Weight Subject (kg.) Mouse 0.018 Child 20.0 Adult 70.0 Surface area (sq. m.) 0.0075 0.8 1.85 Total dose (Mg.) 18 1600-1920 5250 (M.) Total dose/sq (Mg.) 1000 80-96 75 2400 2000-2400 2840 Total doseAg m TABLE5 TRIETHYLENETHIOPHOSPHORAMIDE (TSPA)DOSAGE Subject Mouse Rat Man Weight (kg.) 0.018 0.25 70.0 Surface area (sq. m.) 0.0075 0.045 1.85 Dose/day (mg.) 0.036 0.125-0.25 5-10 DoseAg/day (mg.) 2 0.5-1.0 0.07-0.14 Dose/sq m/day (mg.) 4.8 2.8-5.6 2.7-5.4 Downloaded from cancerres.aacrjournals.org on April 28, 2017. © 1958 American Association for Cancer Research. 856 Cancer Research certain laboratory animals and man is described. This is in contrast to the dissimilarity in the dos ages per unit of weight for these compounds among laboratory animals and man, and among humans of different ages. It is suggested that cancer chemotherapists consider the applicability of body surface area as a criterion of drug dosage in their laboratory and clinical studies. REFERENCES 1. BAKER,R. J.; KOZOLL,D.; and MEYER,K. A. The Use of Surface Area as a Basis for Establishing Normal Blood Volume. Surg., Gyn. & Obst., 104:183-89, 1957. 2. BEST,C. H., and TAYLOR,N. B. The Physiological Basis of Medical Practice, p. 525, 4th ed. Baltimore: Williams & Wilkins, 1945. 3. CRAWFORD, J.; TERRY,M.; and ROUBKE,G. Simplification of Drug Dosage Calculation by Application of the Surface Area Principle. Pediatrics, 5:783-90, 1950. 4. DiPAOLO,J. A.; MOORE,G. E.; and NIEDBALA,T. F. Ex perimental Studies with Actinomycin D. Cancer Research, 17:1127-34, 1957. 5. . The Influence of Actinomycin D on Animal and Human Tumors. Proc. Am. Assoc. Cancer Research, 2: 195, 1957. 6. DREYER,G., and RAY,W. The Blood Volume of Mammals as Determined by Experiments upon Rabbits, Guinea Pigs and Mice and Its Relationship to the Body Weight and to the Surface Area Expressed as a Formula. Phil. Trans. Royal Soc. London, s. B, 201:133-60, 1910. 7. . Further Experiments upon the Blood Volume of Mammals and Its Relation to the Surface Area of the Body. Ibid., 202:191-212, 1912. 8. DUBOIS,E. 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C. Studies in a Tumor Spec trum. III. The Effect of Phosphoramides on the Growth of a Variety of Mouse and Rat Tumors. Cancer Research, 16:38-51, 1955. 21. TALBOT,N.; CRAWFORD, J.; and BUTLER,A. Homeostatic Limits to Safe Parenteral Fluid Therapy. New Eng. J. Med., 248:1100-1108, 1953. Downloaded from cancerres.aacrjournals.org on April 28, 2017. © 1958 American Association for Cancer Research. The Use of Body Surface Area as a Criterion of Drug Dosage in Cancer Chemotherapy Donald Pinkel Cancer Res 1958;18:853-856. Updated version E-mail alerts Reprints and Subscriptions Permissions Access the most recent version of this article at: http://cancerres.aacrjournals.org/content/18/7/853 Sign up to receive free email-alerts related to this article or journal. To order reprints of this article or to subscribe to the journal, contact the AACR Publications Department at [email protected]. To request permission to re-use all or part of this article, contact the AACR Publications Department at [email protected]. Downloaded from cancerres.aacrjournals.org on April 28, 2017. © 1958 American Association for Cancer Research.