Structure of a randomly grown 2-d network.
Biosystems 2015;
136:105-12. [PMID:
26375356 DOI:
10.1016/j.biosystems.2015.09.002]
[Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2015] [Revised: 09/03/2015] [Accepted: 09/04/2015] [Indexed: 11/21/2022]
Abstract
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.
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