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THE TWO-SCALE FRACTAL DIMENSION: A UNIFYING PERSPECTIVE TO METABOLIC LAW.
- Source :
-
Fractals . 2024, Vol. 32 Issue 1, p1-11. 11p. - Publication Year :
- 2024
-
Abstract
- The laws governing life should be as simple as possible; however, theoretical investigations into allometric laws have become increasingly complex, with the long-standing debate over the scaling exponent in allometric laws persisting. This paper re-examines the same biological phenomenon using two different scales. On a macroscopic scale, a cell surface appears smooth, but on a smaller scale, it exhibits a fractal-like porous structure. To elaborate, a few examples are given. Employing the two-scale fractal theory, we theoretically predict and experimentally verify the scaling exponent values for basal, active, and maximal metabolic rates. This paper concludes that Rubner's 2/3 law and Kleiber's 3/4 law are two facets of the same truth, manifested across different scale approximations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FRACTAL dimensions
*PHENOMENOLOGICAL biology
*EXPONENTS
*CELL morphology
Subjects
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 32
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 175445531
- Full Text :
- https://doi.org/10.1142/S0218348X24500166