# Nanonetworks: The graph theory framework for modeling nanoscale systems

Jelena Živkovic; Bosiljka Tadic

Nanoscale Systems: Mathematical Modeling, Theory and Applications (2013)

- Volume: 2, page 30-48
- ISSN: 2299-3290

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topJelena Živkovic, and Bosiljka Tadic. "Nanonetworks: The graph theory framework for modeling nanoscale systems." Nanoscale Systems: Mathematical Modeling, Theory and Applications 2 (2013): 30-48. <http://eudml.org/doc/266578>.

@article{JelenaŽivkovic2013,

abstract = {Nanonetwork is defined as a mathematical model of nanosize objects with biological, physical and chemical attributes, which are interconnected within certain dynamical process. To demonstrate the potentials of this modeling approach for quantitative study of complexity at nanoscale, in this survey, we consider three kinds of nanonetworks: Genes of a yeast are connected by weighted links corresponding to their coexpression along the cell cycle; Gold nanoparticles, arranged on a substrate, are linked via quantum tunneling junctions which enable single-electron conduction; A network of similar profiles of force–distance curves consists of sequences of states of a molecular complex from HIV–1 virus observed in repeated single-molecule force spectroscopy experiments. The graph-theory analysis of these systems reveals their organizational principles, quantifies the relation between the function of nanostructured materials and their architecture, and helps understand the character of fluctuations at nanoscale.},

author = {Jelena Živkovic, Bosiljka Tadic},

journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},

keywords = {Conducting nanoparticle films; Genetic networks of yeast; Single-molecule force spectroscipy data; Graph theory; Network community detection; Bionanosystems; Viral RNA; Cell; Complex systems; conducting nanoparticle films; genetic networks of yeast; single-molecule force spectroscipy data; graph theory; network community detection; bionanosystems; viral RNA; cell; complex systems},

language = {eng},

pages = {30-48},

title = {Nanonetworks: The graph theory framework for modeling nanoscale systems},

url = {http://eudml.org/doc/266578},

volume = {2},

year = {2013},

}

TY - JOUR

AU - Jelena Živkovic

AU - Bosiljka Tadic

TI - Nanonetworks: The graph theory framework for modeling nanoscale systems

JO - Nanoscale Systems: Mathematical Modeling, Theory and Applications

PY - 2013

VL - 2

SP - 30

EP - 48

AB - Nanonetwork is defined as a mathematical model of nanosize objects with biological, physical and chemical attributes, which are interconnected within certain dynamical process. To demonstrate the potentials of this modeling approach for quantitative study of complexity at nanoscale, in this survey, we consider three kinds of nanonetworks: Genes of a yeast are connected by weighted links corresponding to their coexpression along the cell cycle; Gold nanoparticles, arranged on a substrate, are linked via quantum tunneling junctions which enable single-electron conduction; A network of similar profiles of force–distance curves consists of sequences of states of a molecular complex from HIV–1 virus observed in repeated single-molecule force spectroscopy experiments. The graph-theory analysis of these systems reveals their organizational principles, quantifies the relation between the function of nanostructured materials and their architecture, and helps understand the character of fluctuations at nanoscale.

LA - eng

KW - Conducting nanoparticle films; Genetic networks of yeast; Single-molecule force spectroscipy data; Graph theory; Network community detection; Bionanosystems; Viral RNA; Cell; Complex systems; conducting nanoparticle films; genetic networks of yeast; single-molecule force spectroscipy data; graph theory; network community detection; bionanosystems; viral RNA; cell; complex systems

UR - http://eudml.org/doc/266578

ER -

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