Long-bone allometry of terrestrial mammals and the geometric-shape and elastic-force constraints of bone evolution

Journal of Theoretical Biology

Volumn 224, Issue 4, 2003, Pages 551-556

  Kokshenev, V B ^a   Silva, J K L ^a   Garcia, G J M ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOMETRY; BONE DEFORMATION; BONE GROWTH; BONE MASS; BONE MATURATION; BONE STRENGTH; BONE STRESS; ELASTICITY; GENETIC SIMILARITY; GEOMETRY; LETTER; LONG BONE; MATHEMATICAL ANALYSIS; OSSIFICATION; PREDICTION; PRIORITY JOURNAL; SKELETON;

MAMMALIA;

EID: 0041381340     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5193(03)00190-5     Document Type: Letter

References (32)

1. Alexander R.M. Allometry of the limbs of antelopes (Bovidae). J. Zool. 183:1977;125-146.
2. Alexander R.M., Jayes A.S., Maloiy G.M.O., Wathuta E.M. Allometry of the limb bones of mammals from shrews (Sorex) to elephant (Loxodonta). J. Zool. 189:1979;305-314.
3. Alexander R.M., Maloiy G.M.O., Hunter B., Jayes A.S., Nturibi J. Mechanical stresses in fast locomotion of buffalo (Syncerus caffer) and elephant (Loxodonta africana). J. Zool. 189:1979;135-144.
4. Alexander R.M., Jayes A.S., Maloiy G.M.O., Wathuta E.M. Allometry of the leg muscles of mammals. J. Zool. 194:1981;539-552.
5. Bertram J.E.A., Biewener A.A. Allometry and curvature in the long bones of quadrupedal mammals. J. Zool. 226:1992;455-467.
6. Biewener A.A. Locomotory stresses in the limb bones of two small mammals: the ground squirrel and chipmunk. J. Exp. Biol. 103:1982;131-154.
7. Biewener A.A. Allometry of quadrupedal locomotion - the scaling of duty factor, bone curvature and limb orientation to body size. J. Exp. Biol. 105:1983;147-171.
8. Biewener A.A. Biomechanics of mammalian terrestrial locomotion. Science. 250:1990;1097-1103.
9. Biewener A.A. Musculoskeletal design in relation to body size. J. Biomech. 24:1991;19-29.
10. Biewener A.A., Taylor C.R. Bone strain: a determinant of gait and speed? J. Exp. Biol. 123:1986;383-400.
11. Carter D.R., Smith D.J., Spengler D.M., Daly C.H., Frankel V.H. Measurement and analysis on in vivo bone strains on the canine radius and ulna. J. Biomech. 13:1980;27-38.
12. Carter, D.R., Spengler, D.M., 1982. Biomechanics of fracture. In: Summer-Smith, G. (Ed.), Bone in Clinical Orthopaedics. W.B. Saunders Co., Philadelphia.
13. Christiansen P. Scaling of the limb long bones to body mass in terrestrial mammals. J. Morphol. 239:1999;167-190.
14. Christiansen P. Scaling of mammalian long bones: small and large mammals compared. J. Zool. 247:1999;333-348.
15. Christiansen P. Mass allometry of the appendicular skeleton in terrestrial mammals. J. Morphol. 251:2002;195-209.
16. Economos A.C. Elastic and/or geometric similarity in mammalian design? J. Theor. Biol. 103:1983;167-172.
17. Farley C.T., Glasheen J., McMahon T.A. Running springs: speed and animal size. J. Exp. Biol. 185:1993;71-86.
18. Garcia, G.J.M., 2001. Leis de escala em biologia. M.S. Thesis, Universidade Federal of Minas Gerais, unpublished.
19. Hokkanen J.E.I. Notes concerning elastic similarity. J. Theor. Biol. 120:1986;499-501.
20. Kokshenev V.B. Observation of mammalian similarity through allometric scaling laws. Physica A. 322:2003;491-505.
21. Landau L.D., Lifshits E.M. Theory of Elasticity. 1989;Pergamon Press, London.
22. McMahon T.A. Size and shape in biology. Science. 179:1973;1201-1204.
23. McMahon T.A. Allometry and biomechanics. limb bones in adult ungulates Am. Nat. 109:1975;547-563.
24. McMahon T.A. Using body size to understand the structural design of animals: quadrupedal locomotion. J. Appl. Physiol. 39:1975;619-627.
25. Pogorelov A.V. Elastic deformations of convex shells in the transcritical region. Dokl. Acad. Nauk SSSR. 133:1960;785-787.
26. Pollock C.M., Shadwick R.E. Allometry of muscle, tendon, and elastic energy-storage capacity in mammals. Am. J. Physiol. 266:1994;R1022-R1031.
27. Prange H.D., Anderson J.F., Rahn H. Scaling of skeletal mass to body mass in birds and mammals. Am. Nat. 113:1979;103-122.
28. Rashevsky, N., 1948. Mathematical Biophysics, Revised Edition. The University of Chicago Press, Chicago (New Edition, Dover Publications, New York, 1960).
29. Rubin C.T., Lanyon L.E. Limb mechanics as a function of speed and gait. a study of functional strains in the radius and tibia of horse and dog J. Theor. Biol. 101:1982;187-211.
30. Rubin C.T. Skeletal strain and the functional significance of bone architecture. Calcif. Tissue Int. 36(Suppl.):1984;S11-S18.
31. Rubin C.T., Lanyon L.E. Dynamic strain similarity in vertebrates; an alternative to allometric limb bone scaling. J. Theor. Biol. 107:1984;321-327.
32. Selker F., Carter D.R. Scaling of the long bone fracture strength with animal mass. J. Biomech. 22:1989;1175-1183.