Fractional dynamics of allometry

DOI10.2478/s13540-012-0006-3zbMath1401.92047OpenAlexW2012737288WikidataQ112769364 ScholiaQ112769364MaRDI QIDQ5327104

Bruce J. West, Damien West

Publication date: 2 August 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-012-0006-3

zbMATH Keywords

entropyFokker-Planck equationself-similarityfluctuationsuniversalityentropy balancePareto distributionfractal scalingallometryfractional diffusion equationfractional dynamicsLévy distributioninverse power lawco-variationfractal statisticsfractional probabilityallometry coefficientallometry exponentphenomenological distributionsrenormalization group relation

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Physiology (general) (92C30) Fractals (28A80) Fractional partial differential equations (35R11)

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Cites Work

• Maximizing information exchange between complex networks
• On the use of logarithmic transformations in allometric analyses
• Multiplicative by nature: why logarithmic transformation is necessary in allometry
• Random Walks on Lattices. II
• Statistical mechanics of complex networks
• Origin of Allometry Hypothesis
• Fractal dimensionality of Lévy processes
• The Structure and Function of Complex Networks
• Supply–demand balance and metabolic scaling
• Deterministic Nonperiodic Flow
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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