Nanonetworks: The graph theory framework for modeling nanoscale systems

• Autorzy: Jelena Živkovic , Bosiljka Tadic
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Conducting nanoparticle films; Genetic networks of yeast; Single-molecule force spectroscipy data; Graph theory; Network community detection; Bionanosystems; Viral RNA; Cell; Complex systems

Kategorie tematyczne

• 87.18.Cf: Genetic switches and networks
• 89.75.Hc: Networks and genealogical trees
• 89.75.-k: Complex systems(for complex chemical systems, see 82.40.Qt; for biological complexity, see 87.18.-h)
• 82.37.Rs: Single molecule manipulation of proteins and other biological molecules
• 62.23.St: Complex nanostructures, including patterned or assembled structures

• 05C62: Graph representations (geometric and intersection representations, etc.) {For graph drawing, see also }
• 92E10: Molecular structure (graph-theoretic methods, methods of differential topology, etc.)
• 90C35: Programming involving graphs or networks
• 90B10: Network models, deterministic

• Wydawca: De Gruyter Open
• Czasopismo: Nanoscale Systems: Mathematical Modeling, Theory and Applications
• Rocznik: 2013
• Tom: 2
• Strony: 30-48

Daty

otrzymano

2012-11-12

poprawiono

2013-01-04

zaakceptowano

2013-01-24

online

2013-02-15

Twórcy

autor

Jelena Živkovic

• Department of theoretical physics; Jožef Stefan Institute,
  Box 3000, SI-1001 Ljubljana Slovenia
• Scanning Probe Microscopy Group, Institute for Molecules
  and Materials, Radboud University,
  Nijmegen, The Netherlands, EU

autor

Bosiljka Tadic

• Department of theoretical physics; Jožef Stefan Institute,
  Box 3000, SI-1001 Ljubljana Slovenia

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Identyfikatory

DOI

10.2478/nsmmt-2013-0003