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Scaling in Colloidal and Biological Networks

Department of Mechanical Engineering, University of Wisconsin—Milwaukee, 3200 North Cramer St., Milwaukee, WI 53211, USA
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Entropy 2020, 22(6), 622; https://doi.org/10.3390/e22060622
Received: 21 May 2020 / Revised: 2 June 2020 / Accepted: 2 June 2020 / Published: 4 June 2020
(This article belongs to the Section Multidisciplinary Applications)
Scaling and dimensional analysis is applied to networks that describe various physical systems. Some of these networks possess fractal, scale-free, and small-world properties. The amount of information contained in a network is found by calculating its Shannon entropy. First, we consider networks arising from granular and colloidal systems (small colloidal and droplet clusters) due to pairwise interaction between the particles. Many networks found in colloidal science possess self-organizing properties due to the effect of percolation and/or self-organized criticality. Then, we discuss the allometric laws in branching vascular networks, artificial neural networks, cortical neural networks, as well as immune networks, which serve as a source of inspiration for both surface engineering and information technology. Scaling relationships in complex networks of neurons, which are organized in the neocortex in a hierarchical manner, suggest that the characteristic time constant is independent of brain size when interspecies comparison is conducted. The information content, scaling, dimensional, and topological properties of these networks are discussed. View Full-Text
Keywords: allometry; droplet clusters; colloidal crystals; biomimetics; network topology allometry; droplet clusters; colloidal crystals; biomimetics; network topology
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MDPI and ACS Style

Nosonovsky, M.; Roy, P. Scaling in Colloidal and Biological Networks. Entropy 2020, 22, 622. https://doi.org/10.3390/e22060622

AMA Style

Nosonovsky M, Roy P. Scaling in Colloidal and Biological Networks. Entropy. 2020; 22(6):622. https://doi.org/10.3390/e22060622

Chicago/Turabian Style

Nosonovsky, Michael, and Prosun Roy. 2020. "Scaling in Colloidal and Biological Networks" Entropy 22, no. 6: 622. https://doi.org/10.3390/e22060622

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