Fifth dimension of life and the 4/5 allometric scaling law for human brain

Cell Biology International

Volumn 28, Issue 11, 2004, Pages 809-815

  He, Ji Huan ^a   Zhang, Juan ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALLOMETRY; ARTICLE; BASAL METABOLIC RATE; BRAIN CELL; BRAIN SIZE; CELL SIZE; EXERCISE; FRACTAL ANALYSIS; MEDICAL ILLUSTRATION; MOLECULAR PHYSICS; REST; SCALE UP;

BASAL METABOLISM; BIOMETRY; BRAIN; EXERCISE; HUMANS; MATHEMATICS; MODELS, BIOLOGICAL; MODELS, STATISTICAL;

EID: 9244239768     PISSN: 10656995     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cellbi.2004.07.011     Document Type: Article

References (38)

1. J.R. Banavar, A. Maritan, and A. Rinaldo Size and form in efficient transportation networks Nature 399 1999 130 132
2. J.R. Banavar, J. Damuth, A. Maritan, and A. Rinaldo Allometric cascades Nature 421 2003 713 714
3. R. Benzi Getting a grip on turbulence Science 301 5633 2003 605 606
4. C.A. Beuchat Allometric scaling laws in biology Science 278 5337 1997 369 373
5. J.J. Blum On the geometry of four-dimensions and the relationship between metabolism and body mass Journal of Theoretical Biology 64 1997 599 601
6. S. Brody Bioenergetics and growth, with special reference to the efficiency complex in domestic animals 1945 Reinhold New York
7. G.P. Burness Science 296 2002 1245 1247
8. H. Chen, S. Kandasamy, S. Orszag, R. Shock, S. Succi, and V. Yakhot Extended Boltzmann kinetic equation for turbulent flows Science 301 5633 2003 633 636
9. J. Damuth Scaling of growth: plants and animals are not so different Proceedings of the National Academy of Sciences of the United States of America 98 5 2001 2113 2114
10. C.A. Darveau, R.K. Suarez, R.D. Andrews, and P.W. Hochachka Allometric cascade as a unifying principle of body mass effects on metabolism Nature 417 2002 166 170
11. T.H. Dawson Allometric scaling in biology Science 281 5378 1998 751
12. P.S. Dodds, D.H. Rothman, and J.S. Weitz Re-examination of the 3/4-law of metabolism Journal of Theoretical Biology 209 1 2001 9 27
13. O. Dreyer, and R. Puzio Allometric scaling in animals and plants Journal of Mathematical Biology 43 2001 144 156
14. T.H. Hao Application of the Lagrange multiplier method the semi-inverse method to the search for generalized variational principle in quantum mechanics International Journal of Nonlinear Sciences and Numerical Simulation 4 3 2003 307 310
15. J.H. He Generalized variational principles in fluids 2003 Science & Culture Publishing House of China HK, China
16. J.H. He Mysterious pi and a possible link to DNA sequencing International Journal of Nonlinear Sciences and Numerical Simulation 5 2004 263 274
17. J.H. He, and H. Chen Effects of size and pH on metabolic rate International Journal of Nonlinear Sciences and Numerical Simulation 4 2003 429 432
18. J.H. He, Y.Q. Wan, and J.Y. Yu Allometric scaling and instability in electrospinning International Journal of Nonlinear Sciences and Numerical Simulation 5 3 2004 243 251
19. M. Kleiber Body size and metabolism Hilgardia 6 1932 315 353
20. J.T. Kuikka Fractal analysis of medical imaging International Journal of Nonlinear Sciences and Numerical Simulation 3 2002 81 88
21. J.T. Kuikka Scaling laws in physiology: relationships between size, function, metabolism and life expectancy International Journal of Nonlinear Sciences and Numerical Simulation 4 2003 317 328
22. H.M. Liu Variational approach to nonlinear electrochemical system International Journal of Nonlinear Sciences and Numerical Simulation 5 1 2004 95 96
23. D. Mackenzie New clues to why size equals destiny Science 284 5420 1999 1607 1609
24. Nakaya F, Saito Y, Motokawa T. Relationship between metabolic rate and colony size of the ascidian Botryllus schlosseri. Ascidian News, May 1998; No. 43. Available from: http://biol.dgbm.unina.it:8080/ascidians/AscidianNews/an43. html
25. NASA microgravity research highlights, Advancing heart research, reprinted from the Spring 2000 issue of Microgravity News. Detailed information is published in American Journal of Physiology 1999;277:H433-4 (Heart Circ Physiol, 46) and Biotechnology and Bioengineering 1999;64:580-9.
26. H.U. Riisgard No foundation of a "3/4 power scaling law" for respiration in biology Ecology Letters 1 2 1998 71 73
27. M. Rubner Zeitschrift fur Biologie 19 1883 536 562
28. P.A. Srere Biological Chemistry Hoppe-Seyler 374 1993 833 842
29. Taylor CA, Maloiy GMO, Weibel ER, Langman VA, Kamau JMZ, Seeherman HJ, Heglund NC. Design of the mammalian respiratory system. III. Scaling maximum aerobic capacity to body mass: Wild and domestic mammals. 1981;44:25-37.
30. Y.Q. Wan, Q. Guo, and N. Pan Thermo-electro-hydrodynamic model for electrospinning process International Journal of Nonlinear Sciences and Numerical Simulation 5 2004 5 8
31. Z.M. Wang, T.P. O'Connort, S. Heshka, and S.B. Heymsfield The reconstruction of Kleiber's law at organ-tissue level Journal of Nutrition 131 2001 2967 2970
32. E.R. Weibel Symmorphosis, on form and function shaping life 2000 Harvard University Press Cambridge
33. E.R. Weibel The pitfalls of power laws Nature 417 2002 131 132
34. G.B. West, J.H. Brown, and B.J. Enquist A general model for origin of allometric scaling laws in biology Science 276 5309 1997 122 126
35. G.B. West, J.H. Brown, and B.J. Enquist The fourth dimension of life: fractal geometry and allometric scaling of organisms Science 284 1999 1677 1679
36. G. West, W.H. Woodruff, and J.H. Brown Allometric scaling of metabolic rate from molecules and mitochondria to cells and mammals Proceedings of the National Academy of Sciences of the United States of America 99 2002 2473 2478
37. G.B. West, V.M. Savage, J. Gillooly, B.J. Enquist, W.H. Woodruff, and J.H. Brown Why does metabolic rate scale with body size Nature 421 2003 713
38. 2/3 Proceedings of the National Academy of Sciences of the United States of America 100 7 2003 4046 4049