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Chen X, Niu P, Niu X, Shen W, Duan F, Ding L, Wei X, Gong Y, Huo Y, Kassab GS, Tan W, Huo Y. Growth, ageing and scaling laws of coronary arterial trees. J R Soc Interface 2015; 12:20150830. [PMID: 26701881 PMCID: PMC4707856 DOI: 10.1098/rsif.2015.0830] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/19/2015] [Accepted: 11/30/2015] [Indexed: 11/12/2022] Open
Abstract
Despite the well-known design principles of vascular systems, it is unclear whether the vascular arterial tree obeys some scaling constraints during normal growth and ageing in a given species. Based on the micro-computed tomography measurements of coronary arterial trees in mice at different ages (one week to more than eight months), we show a constant exponent of 3/4, but age-dependent scaling coefficients in a length-volume scaling law (Lc=K(length-volume) · Vc³/⁴; Lc is the crown length, Vc is the crown volume, K(length-volume) is the age-dependent scaling coefficient) during normal growth and ageing. The constant 3/4 exponent represents the self-similar fractal-like branching pattern (i.e. basic mechanism to regulate the development of vascular trees within a species), whereas the age-dependent scaling coefficients characterize the structural growth or resorption of vascular trees during normal growth or ageing, respectively. This study enhances the understanding of age-associated changes in vascular structure and function.
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Affiliation(s)
- Xi Chen
- Department of Mechanics and Engineering Science, Peking University, Beijing, People's Republic of China State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, People's Republic of China
| | - Pei Niu
- College of Medicine, Hebei University, Baoding, People's Republic of China
| | - Xiaolong Niu
- College of Medicine, Hebei University, Baoding, People's Republic of China
| | - Wenzeng Shen
- College of Medicine, Hebei University, Baoding, People's Republic of China
| | - Fei Duan
- College of Medicine, Hebei University, Baoding, People's Republic of China
| | - Liang Ding
- College of Medicine, Hebei University, Baoding, People's Republic of China
| | - Xiliang Wei
- College of Medicine, Hebei University, Baoding, People's Republic of China
| | - Yanjun Gong
- Department of Cardiology, Peking University First Hospital, Beijing, People's Republic of China
| | - Yong Huo
- Department of Cardiology, Peking University First Hospital, Beijing, People's Republic of China
| | - Ghassan S Kassab
- California Medical Innovations Institute, San Diego, CA 92121, USA
| | - Wenchang Tan
- Department of Mechanics and Engineering Science, Peking University, Beijing, People's Republic of China State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, People's Republic of China Shenzhen Graduate School, Peking University, Shenzhen, People's Republic of China
| | - Yunlong Huo
- Department of Mechanics and Engineering Science, Peking University, Beijing, People's Republic of China State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, People's Republic of China
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