Structure of a randomly grown 2-d network

被引:7
作者
Ajazi, Fioralba [1 ,2 ]
Napolitano, George M. [1 ]
Turova, Tatyana [1 ,3 ]
Zaurbek, Izbassar [1 ]
机构
[1] Lund Univ, Fac Sci, Dept Math Stat, S-22100 Lund, Sweden
[2] Univ Lausanne, Dept Informat Syst, Fac Business & Econ, Neuroheurist Res Grp, CH-1015 Lausanne, Switzerland
[3] Russian Acad Sci, Inst Math Problems Biol, Pushchino 142290, Moscow Region, Russia
关键词
Randomly grown network; Random graphs;
D O I
10.1016/j.biosystems.2015.09.002
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We introduce a growing random network on a plane as a model of a growing neuronal network. The properties of the structure of the induced graph are derived. We compare our results with available data. In particular, it is shown that depending on the parameters of the model the system undergoes in time different phases of the structure. We conclude with a possible explanation of some empirical data on the connections between neurons. (C) 2015 Elsevier Ireland Ltd. All rights reserved.
引用
收藏
页码:105 / 112
页数:8
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