Scaling laws for capillary vessels of mammals at rest and in exercise

Proceedings of the Royal Society B: Biological Sciences

Volumn 270, Issue 1516, 2003, Pages 755-763

  Dawson, Thomas H ^a  

^a UNITED STATES NAVAL ACADEMY   (United States)

Author keywords

Allometric reactions; Blood vessels; Capillaries; Mammals; Scaling laws

Indexed keywords

ALLOMETRY; BLOOD SYSTEM; MAMMAL; SCALE EFFECT;

ALLOMETRY; ARTICLE; BLOOD PRESSURE; BLOOD VESSEL; BLOOD VESSEL DIAMETER; BODY MASS; CAPILLARY FLOW; EXERCISE; HEART CYCLE; MAMMAL; NONHUMAN; PHYSICAL ACTIVITY; PRIORITY JOURNAL;

MAMMALIA;

EID: 0037425028     PISSN: 09628452     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rspb.2002.2304     Document Type: Article

References (39)

1. Adolph, E. F. 1943 Physiological regulation. Lancaster, PA: The Jaques Cattell Press.
2. Adolph, E. F. 1949 Quantitative relations in the physiological constitution of mammals. Science 109, 579-585.
3. Amin, T. M. & Sirs, J. A. 1985 The blood rheology of man and various animal species. Q. J. Exp. Physiol. 70, 37-49.
4. Banavar, J. R., Maritan, A. & Rinaldo, A. 1999 Size and form in efficient transportation networks. Nature 399, 130-132.
5. Bartels, H. 1982 Metabolic rate of mammals equals the 0.75 power of their body weight. Exp. Biol. Med. 7, 1-11.
6. Baudinette, R. V. 1978 Scaling of heart rate during locomotion in mammals. J. Comp. Physiol. 127, 337-342.
7. Bishop, C. M. 1997 Heart mass and the maximum cardiac output of birds and mammals: implications for estimating the maximum aerobic power input of flying mammals. Phil. Trans. R. Soc. Lond. B 352, 447-456. (DOI 10.1098/rstb.1997.0032.)
8. Bishop, C. M. 1999 The maximum oxygen consumption and aerobic scope of birds and mammals: getting to the heart of the matter. Proc. R. Soc. Lond. B 266, 2275-2281. (DOI 10.1098/rspb.1999.0919.)
9. Brody, S. 1945 Bioenergetics and growth. New York: Reinhold Publishing.
10. Brody, S. & Procter, R. C. 1932 Relation between basal metabolism and mature body weight in different species of mammals and birds. Univ. Missouri Agr. Exp. Station Res. Bull. 166, 89-102.
11. Clark, A. J. 1927 Comparative physiology of the heart. Cambridge University Press.
12. Darveau, C. A., Suarez, P. K., Andrews, R. D. & Hochachka, P. W. 2002 Allometric cascade as a unifying principle of body mass effect on metabolism. Nature 417, 166-170.
13. Dawson, T. H. 1991 Engineering design of the cardiovascular system of mammals. Englewood Cliffs, NJ: Prentice-Hall.
14. Dawson, T. H. 1998 Allometric scaling in biology. Science 281, 751.
15. Dawson, T. H. 2001 Similitude in the cardiovascular system of mammals. J. Exp. Biol. 204, 395-407.
16. Dodds, P. S., Rothman, D. H. & Weitz, J. S. 2001 Re-examination of the '3/4-law' of metabolism. J. Theor. Biol. 209, 9-27.
17. Gehr, P., Mwangi, D. K., Ammann, A., Maloiy, G. M. D., Taylor, C. R. & Weibel, E. R. 1981 Design of the mammalian respiratory system. V. Scaling morphometric pulmonary diffusing capacity to body mass: wild and domestic mammals. Respir. Physiol. 44, 61-86.
18. Gregg, D. E., Eckstein, R. W. & Fineberg, M. H. 1937 Pressure pulses and blood pressure values in unanesthetized dogs. Am. J. Physiol. 118, 399-410.
19. Heusner, A. A. 1991 Size and power in mammals. J. Exp. Biol. 160, 25-54.
20. Holt, J. P., Rhode, E. A. & Kines, H. 1968 Ventricular volumes and body weight in mammals. Am. J. Physiol. 215, 704-715.
21. Hoppeler, H. & Weibel, E. R. 1998 Limits for oxygen and substrate transport in mammals. J. Exp. Biol. 201, 1051-1064.
22. Hoppeler, H., Mathieu, O., Weibel, E. R., Krauer, R., Lindstedt, S. L. & Taylor, C. R. 1981 Design of the mammalian respiratory system. VIII. Capillaries in skeletal muscles. Respir. Physiol. 44, 129-150.
23. Kleiber, M. 1932 Body size and metabolism. Hilgardia 6, 315-353.
24. Krogh, A. 1919 The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying tissue. J. Physiol. 52, 409-415.
25. Krogh, A. 1920 A contribution to the physiology of capillaries. Nobel Lecture, Stockholm. Also in Nobel lectures, physiology or medicine 1901-1921. Amsterdam: Elsevier.
26. Kunkel Jr, P. A. 1930 The number and size of the glomeruli in the kidney of several mammals. Bull. Johns Hopkins Hosp. 47, 285-291.
27. Pappenheimer, J. R., Renkin, E. M. & Borrero, L. M. 1951 Filtration, diffusion, and molecular sieving through peripheral capillary membranes. Am. J. Physiol. 167, 13-46.
28. Poiseuille, J. L. M. 1846 Recherches experimentales sur le mouvement des liquids dans les tubes des tres petite diameters. Mem. Acad. Sci. (Paris) 9, 433-544.
29. Rihl, J. 1926 Die Frequenz des Herzschlages. In Handbuch der Normalen und Pathologischen Physiologie, vol. VII/1, pp. 449-457. Berlin: Springer.
30. Rubner, M. 1883 Ueber den Einfluss der Korpergrosse auf Stoff und Kraftwechsel. Z. Biol. 19, 535-562.
31. Schmidt-Nielsen, K. 1984 Scaling: why is animal size so important? Cambridge University Press.
32. Schmidt-Nielsen, K. & Latimer, J. L. 1958 Oxygen dissociation curves of mammalian blood in relation to body size. Am. J. Physiol. 195, 424-428.
33. Schmidt-Nielsen, K. & Pennycuik, P. 1961 Capillary density in mammals in relation to body size and oxygen consumption. Am. J. Physiol. 200, 746-750.
34. Taylor, C. R. & Weibel, E. R. 1981 Design of the mammalian respiratory system. I. Problems and strategy. Respir. Physiol. 44, 1-10.
35. Taylor, C. R., Maloiy, G. M., Weibel, E. R., Langman, V. A., Kamau, J. M. Z., Seeherman, H. J. & Heglund, N. C. 1981 Design of the mammalian respiratory system. III. Scaling maximum aerobic capacity to body mass: wild and domestic mammals. Respir. Physiol. 44, 25-37.
36. Weibel, E. R. 2002 The pitfalls of power laws. Nature 417, 131-132.
37. Weibel, E. R., Taylor, C. & Hoppeler, H. 1991 The concept of symmorphosis: a testable hypothesis of structure-function relationship. Proc. Natl Acad. Sci. USA 88, 10 357-10 361.
38. West, G. B., Brown, J. H. & Enquist, B. J. 1997 A general model for the origin of allometric scaling laws in biology. Science 276, 122-126.
39. Woodbury, R. A. & Hamilton, W. F. 1937 Blood pressure studies in small animals. Am. J. Physiol. 119, 663-674.