The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
A general basis for quarter-power scaling in animals
Open accessAbstract
It has been known for decades that the metabolic rate of animals scales with body mass with an exponent that is almost always <1, >2/3, and often very close to 3/4. The 3/4 exponent emerges naturally from two models of resource distribution networks, radial explosion and hierarchically branched, which incorporate a minimum of specific details. Both models show that the exponent is 2/3 if velocity of flow remains constant, but can attain a maximum value of 3/4 if velocity scales with its maximum exponent, 1/12. Quarter-power scaling can arise even when there is no underlying fractality. The canonical “fourth dimension” in biological scaling relations can result from matching the velocity of flow through the network to the linear dimension of the terminal “service volume” where resources are consumed. These models have broad applicability for the optimal design of biological and engineered systems where energy, materials, or information are distributed from a single source.
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Cites
A General Model for the Origin of Allometric Scaling Laws in Biology
West, G. B., Brown, J. H., & Enquist, B. J. (1997) · Science · doi:10.1126/science.276.5309.122 · Cited by 5,016
Self-citationScaling: Why is Animal Size so Important?
Schmidt-Nielsen, K. (1984) · doi:10.1017/cbo9781139167826 · Cited by 2,677
The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms
West, G. B., Brown, J. H., & Enquist, B. J. (1999) · Science · doi:10.1126/science.284.5420.1677 · Cited by 1,718 · cited 1×
“The canonization of “Kleiber’s law” of M3/4 scaling of metabolic rate has led to a search for the “fourth dimension of life” (3, 34, 35).”
BackgroundRe-Examination of the “3/4-Law” of Metabolism
DODDS, P. S., ROTHMAN, D. H., & WEITZ, J. S. (2001) · Journal of Theoretical Biology · doi:10.1006/jtbi.2000.2238 · Cited by 589
Cited by
A Simple Practice Guide for Dose Conversion between Animals and Human
Nair, A., & Jacob, S. (2016) · Journal of Basic and Clinical Pharmacy · doi:10.4103/0976-0105.177703 · Cited by 6,174
Nair, A., Morsy, M. A., & Jacob, S. (2018) · Drug Development Research · doi:10.1002/ddr.21461 · Cited by 474
Wright, J., Bolstad, G. H., Araya‐Ajoy, Y. G., & Dingemanse, N. J. (2019) · Biological Reviews · doi:10.1111/brv.12451 · Cited by 175
On being the right size: scaling effects in designing a human-on-a-chip
Moraes, C., Labuz, J. M., Leung, B. M., Inoue, M., Chun, T.-H., & Takayama, S. (2013) · Integrative Biology · doi:10.1039/c3ib40040a · Cited by 134
Growth, metabolic partitioning, and the size of microorganisms
Kempes, C. P., Dutkiewicz, S., & Follows, M. J. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1115585109 · Cited by 132
Metadata
- Authors
- Banavar, J. R., Moses, M. E., Brown, J. H., Damuth, J., Rinaldo, A., Sibly, R. M., & Maritan, A.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2010-08-19
- Volume
- 107
- Issue
- 36
- Pages
- 15816-15820
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2142366069
- Cited by
- 212
- References
- 4
- FWCI
- 15.40
- Type
- journal article
- Language
- en
- Open access
- green
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- Banavar, J. R., Moses, M. E., Brown, J. H., Damuth, J., Rinaldo, A., Sibly, R. M., & Maritan, A. (2010). A general basis for quarter-power scaling in animals. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.1009974107
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
