Abstract
We previously derived a formula for calculating human body surface area (BSA) from V (body volume) and L (reference body length): BSA=(9πVL)0.5. In this paper, we analyse first the effects of body density variation on BSA during growth and the scaling relation of BSA to body mass. Then we utilise the derived formula to calculate BSA of animals and compare the obtained data with the direct measurements on the same animals, including rat, chicken, dog, and cattle, from the literature. It is shown that two problems remain to be solved for applying the derived formula to all mammals and other animals: one is to find out the L for each species of animal by means of direct measurements, and the other is to obtain the variation of body density during growth.
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References
As AV, Lombard F (1981) Body surface area of the chacma baboon (papio ursinus). Growth 45:322–328
Cowgill GR, Drabkin DL (1927) Determination of a formula for the surface area of the dog together with a consideration of formulae available for other species. Am J Physiol 81:36–61
DuBois DF, DuBois EFA (1916) Formula to estimate the approximate surface area if height and weight be known. Arch Intern Med 17:863–871
Fish FE, Innes S, Ronald K (1988) Kinematics and estimated thrust production of swing harp and ringed seals. J Exp Biol 137:157–173
Hogan AG, Skouby CI (1923) Determination of the surface area of cattle and swine. J Agric Sci 25:419–429
Hong CC, Ediger RD, Raetz R, Djurickovic S (1977) Measurement of guinea pig body surface area. Lab Anim Sci 27:474–476
Liu CT, Higbee GA (1976) Determination of body surface area in rhesus monkey. J Appl Physiol 40:101–104
Mitchell HH (1930a) The surface area of single comb white leghorn chickens. J Nutr 11:443–449
Mitchell HH (1930b) The significance of surface area determinations. J Nutr 11:437–442
Price GS, Frazier DL (1998) Use of body surface area (BSA)-based dosage to calculate chemotherapeutic drug dose in dogs. I. Potential problems with current BSA formulae. J Vet Intern Med 12:267–271
Satoh H (1992) Collection of ergonomic data and equations (in Japanese). Gihoudou, Tokyo
Vaughan JA, Adams T (1967) Surface area of the cat. J Appl Physiol 22:56–58
Wang J, Hihara E (2003) Human body surface area: a theoretical approach. Eur J Appl Physiol (in press). DOI 10.1007/s0042100310113
Williams TM, Kooyman GL (1985) Swimming performance and hydrodynamic characteristics of harbour seals Phoca vitulina. Physiol Zool 58:576–589
Acknowledgements
The authors are indebted to Professor Thurston C. Lacalli for his valuable suggestion and comment on axial-patterning and geometrical constraint, to Professor Valery Kokshenev for our effective discussion about human body geometrical constraint, to Dr. Shaozhi Zhang from the University of York for his valuable and critical comment after reading our preliminary manuscript, and also to Professor Prampero and other two anonymous referees from this journal for their important suggestions for revision.
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Wang, J., Hihara, E. A unified formula for calculating body surface area of humans and animals. Eur J Appl Physiol 92, 13–17 (2004). https://doi.org/10.1007/s00421-004-1074-9
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DOI: https://doi.org/10.1007/s00421-004-1074-9