Common scaling laws for city highway systems and the mammalian neocortex

Complexity

Volumn 15, Issue 3, 2010, Pages 11-18

  Changizi, Mark A ^a   Destefano, Marc ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MAMMALIA;

EID: 73349121359     PISSN: 10762787     EISSN: 10990526     Source Type: Journal    
DOI: 10.1002/cplx.20288     Document Type: Article

References (31)

1. Changizi, M. A. Principles underlying mammalian neocortical scaling. Biol Cybern 2001, 84, 207-215.
2. Changizi, M. A. The Brain from 25,000 Feet: High Level Explorations of Brain Complexity, Perception, Induction and Vagueness; Kluwer Academic: Dordrecht, 2003.
3. Frahm, H. D.; Stephan, H.; Stephan, M. Comparison of brain structure volumes in insectivora and primates. I. Neocortex. J Hirnforsch 1982, 23, 375-389.
4. Hofman, M. A. On the evolution and geometry of the brain in mammals. Prog Neurobiol 1989, 32, 137-158.
5. Hofman, M. A. The fractal geometry of convoluted brains. J Hirnforsch 1991, 32, 103-111.
6. Prothero, J. Scaling of cortical neuron density and white matter volume in mammals. J Brain Res 1997, 38, 513-524.
7. Allman, J. M. Evolving Brains; Scientific American Library: New York, 1999.
8. Zhang, K.; Sejnowski, T. J. A universal scaling law between gray matter and white matter of cerebral cortex. Proc Natl Acad Sci 2000,97,5621-5626.
9. Bush, E. C.; Allman, J. M. The scaling of white matter to gray matter in cerebellum and neocortex. Brain Behav Evol 2003, 61, 1-5.
10. Tower, D. B. Structural and functional organization of mammalian cerebral cortex: The correlation of neurone density with brain size. J Comp Neurol 1954, 101, 9-52.
11. Jerison, H. J. Evolution of the Brain and Intelligence; Academic: New York, 1973.
12. Passingham, R. E. Anatomical differences between the neocortex of man and other primates. Brain Behav Evol 1973, 7, 337-359.
13. Jerison, H. J. Allometry, brain size, cortical surface, and convolutedness. In: Primate Brain Evolution; Armstrong, E.; Folk, O., Eds.; Plenum: New York, 1982; pp 77-84.
14. Prothero, J. W.; Sundsten, J. W. Folding of the cerebral cortex in mammals. Brain Behav Evol 1984, 24, 152-167.
15. Hofman, M. A. Size and shape of the cerebral cortex in mammals. I. The cortical surface. Brain Behav Evol 1985, 27, 28-40.
16. Prothero, J. Cortical scaling in mammals: A repeating units model. J Brain Res 1997, 38, 195-207.
17. Shultz, J. R.; Wang, S. S. -H. How the neocortex got its folds: Ultrastructural parameters underlying macroscopic features. Soc Neurosci Abstr 2001.
18. Changizi, M. A.; Shimojo, S. Parcellation and area-area connectivity as a function of neocortex size. Brain Behav Evol 2005, 66, 88-98.
19. Changizi, M. A. Brain scaling laws. In: New Encyclopedia of Neuroscience; Squire, L. R., Ed.; Elsevier: London, 2007.
20. Changizi, M. A. Scaling the brain and its connections. In: Evolution of Nervous Systems; Kaas, J. H., Ed.; Elsevier: London, 2007.
21. Mannering, F. L.; Kilareski, W. P. Principles of Highway Engineering and Traffic Analysis, 3rd ed.; Wiley: New York, 2004.
22. Abeles, M. Corticonics: Neural Circuits of the Cerebral Cortex; Cambridge University Press: Cambridge, 1991.
23. Wang, S. S. -H.; Shultz, J. R.; Burish, M. J.; Harrison, K. H.; Hof, P. R.; Towns, L. C.; Wagers, M. W.; Wyatt, K. D. Functional trade-offs in white matter axonal scaling. J Neurosci 2008, 28, 4047-4056.
24. Murray, C. D. The physiological principle of minimum work. I. The vascular system and the cost of blood volume. Proc Natl Acad Sci USA 1926, 12, 207-214.
25. Cherniak, C.; Changizi, M. A.; Kang, D. Large-scale optimization of neuron arbors. Phys Rev E 1999, 59, 6001-6009.
26. Chklovskii, D. B.; Stepanyants, A. Power-law for axon diameters at a branch point. BMC Neurosci 2003, 4, 18.
27. Hursh, J. B. Conduction velocity and diameter of nerve fibers. Am J Physiol 1939, 127, 131-139.
28. Rushton, W. A. H. A theory of the effects of fibre size in medullated nerve. J Physiol 1951, 115, 101-122.
29. Bullock, T. H.; Horridge, G. A. Structure and Function in the Nervous Systems of Invertebrates; W. H. Freeman: San Francisco, 1965.
30. Bettencourt, L. M. A.; Lobo, J.; Helbing, D.; Kuhnert, C.; West, G. B. Growth, innovation, scaling, and the pace of life in cities. Proc Natl Acad Sci USA 2007, 104, 7301-7306.
31. Dreyer, O. Allometric scaling and central source systems. Phys Rev Lett 2001, 82, 038101.