Axial Compression of a Thin Elastic Cylinder: Bounds on the Minimum Energy Scaling Law

A fundamental physics-based derivation of intraspecific scaling laws of vascular trees has not been previously realized. Here, we provide such a theoretical derivation for the volume–diameter and flow–length scaling laws of intraspecific vascular trees. In conjunction with the minimum energy hypothesis, this formulation also results in diameter–length, flow–diameter and flow–volume scaling laws. The intraspecific scaling predicts the volume–diameter power relation with a theoretical exponent of 3, which is validated by the experimental measurements for the three major coronary arterial trees in swine (where a least-squares fit of these measurements has exponents of 2.96, 3 and 2.98 for the left anterior descending artery, left circumflex artery and right coronary artery trees, respectively). This scaling law as well as others agrees very well with the measured morphometric data of vascular trees in various other organs and species. This study is fundamental to the understanding of morphological and haemodynamic features in a biological vascular tree and has implications for vascular disease.

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Laser Energy Scaling Law for the Yield of Neutrons Generated by Intense Femtosecond Laser-Cluster Interactions

Plasma and Fusion Research ◽

10.1585/pfr.4.041 ◽

2009 ◽

Vol 4 ◽

pp. 041-041 ◽

Cited By ~ 1

Author(s):

Shuji SAKABE ◽

Masaki HASHIDA ◽

Shigeki TOKITA ◽

Kazuto OTANI

Keyword(s):

Femtosecond Laser ◽

Laser Energy ◽

Scaling Law ◽

Energy Scaling

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Domain Branching in Uniaxial Ferromagnets: A Scaling Law for the Minimum Energy

Communications in Mathematical Physics ◽

10.1007/s002200050549 ◽

1999 ◽

Vol 201 (1) ◽

pp. 61-79 ◽

Cited By ~ 62

Author(s):

Rustum Choksi ◽

Robert V. Kohn ◽

Felix Otto

Keyword(s):

Scaling Law ◽

Minimum Energy

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Universal energy scaling law for optimally excited nonlinear oscillators

Physical Review E ◽

10.1103/physreve.101.032202 ◽

2020 ◽

Vol 101 (3) ◽

Cited By ~ 2

Author(s):

C. N. McGinnis ◽

D. L. Holland ◽

Q. Su ◽

R. Grobe

Keyword(s):

Scaling Law ◽

Nonlinear Oscillators ◽

Energy Scaling

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Stability of a nonlinearly elastic cylinder under side pressure and axial compression

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(82)90141-1 ◽

1982 ◽

Vol 46 (2) ◽

pp. 219-224 ◽

Cited By ~ 1

Author(s):

G.I. Volokitin

Keyword(s):

Axial Compression ◽

Elastic Cylinder ◽

Side Pressure ◽

Nonlinearly Elastic

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Voltage Scaling for SRAM in 45nm CMOS Process

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.39.253 ◽

2010 ◽

Vol 39 ◽

pp. 253-259 ◽

Cited By ~ 1

Author(s):

Jian Ping Hu ◽

Jia Guo Zhu

Keyword(s):

Supply Voltage ◽

Minimum Energy ◽

Cmos Technology ◽

Cmos Process ◽

Threshold Region ◽

Medium Voltage ◽

Minimum Energy Consumption ◽

Energy Scaling ◽

Energy Consumptions ◽

Voltage Region

Scaling supply voltage is an efficient approach to achieve low energy. Scaling supply voltage to sub-threshold region can reach minimum energy consumption but only suits for ultra-low operation frequencies. In order to attain more extensive application, scaling supply voltage to medium-voltage region is an attractive approach especially suiting for mid performances. This paper investigates performances of conventional SRAMs in near-threshold and super-threshold regions in terms of energy dissipation and max operating frequency. All circuits are simulated with HSPICE at PTM 45nm CMOS technology by varying supply voltages from 0.4V to 1.1V with 0.1V steps. The simulation results demonstrate that the conventional SRAMs operate on medium-voltage region can not only keep reasonable speed but also reduce greatly energy consumptions.

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