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

Cell Biology International - Tập 28 - Trang 809-815 - 2004
Ji-Huan He1, Juan Zhang1
1College of Science, Donghua University, 1882 Yan'an Xilu Road, P.O. Box 471, Shanghai 200051, People's Republic of China

Tóm tắt

AbstractBrain cells are not spherical. The basal metabolic rate (B) of a spherical cell scales as Br2, where r is the radius of the cell; that of a brain cell scales as Brd, where r is the characteristic radius of the cell and d is the fractal dimensionality of its contour. The fractal geometry of the cell leads to a 4/5 allometric scaling law for human brain, uniquely endowing humans with a 5th dimension and successfully explains why the scaling exponent varies during rest and exercise. A striking analogy between Kleiber's 3/4 law and Newton's second law is heuristically illustrated. A physical explanation is given for the 4th dimension of life for three‐dimensional organisms and the 5th dimension for human brain.

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