Structure of a randomly grown 2-d network

Fioralba Ajazi; George M. Napolitano; Tatyana Turova; Izbassar Zaurbek

doi:10.1016/j.biosystems.2015.09.002

Structure of a randomly grown 2-d network

Fioralba Ajazi, George M. Napolitano^*, Tatyana Turova, Izbassar Zaurbek

^*Corresponding author for this work

Section of Environmental Health

2 Citations (Scopus)

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.

Original language	English
Journal	BioSystems
Volume	136
Pages (from-to)	105-112
Number of pages	8
ISSN	0303-2647
DOIs	https://doi.org/10.1016/j.biosystems.2015.09.002
Publication status	Published - 1 Oct 2015

Keywords

Random graphs
Randomly grown network

Access to Document

10.1016/j.biosystems.2015.09.002

Cite this

@article{19f2bb090ec74b3e8d5ce29bdfd2d1b9,

title = "Structure of a randomly grown 2-d network",

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.",

keywords = "Random graphs, Randomly grown network",

author = "Fioralba Ajazi and Napolitano, {George M.} and Tatyana Turova and Izbassar Zaurbek",

year = "2015",

month = oct,

day = "1",

doi = "10.1016/j.biosystems.2015.09.002",

language = "English",

volume = "136",

pages = "105--112",

journal = "BioSystems",

issn = "0303-2647",

publisher = "Elsevier",

}

TY - JOUR

T1 - Structure of a randomly grown 2-d network

AU - Ajazi, Fioralba

AU - Napolitano, George M.

AU - Turova, Tatyana

AU - Zaurbek, Izbassar

PY - 2015/10/1

Y1 - 2015/10/1

N2 - 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.

AB - 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.

KW - Random graphs

KW - Randomly grown network

UR - http://www.scopus.com/inward/record.url?scp=84949102449&partnerID=8YFLogxK

U2 - 10.1016/j.biosystems.2015.09.002

DO - 10.1016/j.biosystems.2015.09.002

M3 - Journal article

C2 - 26375356

AN - SCOPUS:84949102449

SN - 0303-2647

VL - 136

SP - 105

EP - 112

JO - BioSystems

JF - BioSystems

ER -

Structure of a randomly grown 2-d network

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this