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Search for "mathematical modeling" in Full Text gives 12 result(s) in Beilstein Journal of Nanotechnology.

The influence of structure and local structural defects on the magnetic properties of cobalt nanofilms

  • Alexander Vakhrushev,
  • Aleksey Fedotov,
  • Olesya Severyukhina and
  • Anatolie Sidorenko

Beilstein J. Nanotechnol. 2023, 14, 23–33, doi:10.3762/bjnano.14.3

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  • nanomaterial arising from its production are important tasks, often closely related to the composition of the sample in question. In this paper, we propose one mathematical model to investigate the relationship between the material structure and its magnetic properties. Mathematical modeling is used to
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Published 04 Jan 2023

Orally administered docetaxel-loaded chitosan-decorated cationic PLGA nanoparticles for intestinal tumors: formulation, comprehensive in vitro characterization, and release kinetics

  • Sedat Ünal,
  • Osman Doğan and
  • Yeşim Aktaş

Beilstein J. Nanotechnol. 2022, 13, 1393–1407, doi:10.3762/bjnano.13.115

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  • nanoparticle material is released from the polymeric structure on the basis of diffusion as the major mechanism. It has been confirmed by mathematical modeling that the release is based on diffusion [10][61]. In contrast, the Peppas–Sahlin model describes the drug release from CS/DCX-PLGA NPs. The Peppas
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Published 23 Nov 2022

Electromigration-induced formation of percolating adsorbate islands during condensation from the gaseous phase: a computational study

  • Alina V. Dvornichenko,
  • Vasyl O. Kharchenko and
  • Dmitrii O. Kharchenko

Beilstein J. Nanotechnol. 2021, 12, 694–703, doi:10.3762/bjnano.12.55

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  • the most common approaches for mathematical modeling of these processes is based on the reaction–diffusion models [49][50][51][52][53][54][55][56][57][58][59][60][61]. This approach generally allows one to make certain recommendations for adjusting the technological conditions for growing thin films
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Published 13 Jul 2021

Molecular dynamics modeling of the influence forming process parameters on the structure and morphology of a superconducting spin valve

  • Alexander Vakhrushev,
  • Aleksey Fedotov,
  • Vladimir Boian,
  • Roman Morari and
  • Anatolie Sidorenko

Beilstein J. Nanotechnol. 2020, 11, 1776–1788, doi:10.3762/bjnano.11.160

Graphical Abstract
  • atomic structures depending on the main parameters of the deposition process. Keywords: hybrid nanostructure; mathematical modeling; modified embedded-atom method; molecular dynamics; spintronics; spin valve; vacuum deposition; Introduction Multilayer superconductor/ferromagnetic (S/F) hybrid
  • significantly reduce the number of technological steps and adjustments required to obtain the desired multilayer nanostructure. It should be noted that mathematical modeling is widely used in the design and analysis of various nanosystems properties [24][25]; however, in relation to the considered class of
  • nanosystem resulting from the mathematical modeling is presented in Figure 5. Figure 5 clearly demonstrates the niobium and cobalt layered nanosystem formation: the layers formed by niobium and cobalt atoms have a polycrystalline structure. In this case, groups of atoms are combined into domains with
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Published 24 Nov 2020

Transient coating of γ-Fe2O3 nanoparticles with glutamate for its delivery to and removal from brain nerve terminals

  • Konstantin Paliienko,
  • Artem Pastukhov,
  • Michal Babič,
  • Daniel Horák,
  • Olga Vasylchenko and
  • Tatiana Borisova

Beilstein J. Nanotechnol. 2020, 11, 1381–1393, doi:10.3762/bjnano.11.122

Graphical Abstract
  • software for graphic-mathematical modeling, that is, a demonstration version of Diamond 4.5.3 (Crystal Impact GbR©) for the simulation of nanoparticle polycrystals, a demonstration version of LeadIT 2.3.2 (BioSolveIT GmbH©) to find the most probable binding sites between protein and nanoparticles, a free
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Published 10 Sep 2020

Vibration analysis and pull-in instability behavior in a multiwalled piezoelectric nanosensor with fluid flow conveyance

  • Sayyid H. Hashemi Kachapi

Beilstein J. Nanotechnol. 2020, 11, 1072–1081, doi:10.3762/bjnano.11.92

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  • and the study of vibration behavior are essential. Additionally, it is important that the size-dependent parameters for the dynamics analysis and mathematical modeling of these nanostructures be contained in the theoretical models. For this reason, surface/interface elasticity, which was addressed by
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Published 21 Jul 2020

Effects of surface charge and boundary slip on time-periodic pressure-driven flow and electrokinetic energy conversion in a nanotube

  • Mandula Buren,
  • Yongjun Jian,
  • Yingchun Zhao,
  • Long Chang and
  • Quansheng Liu

Beilstein J. Nanotechnol. 2019, 10, 1628–1635, doi:10.3762/bjnano.10.158

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  • . Secondly, the electroviscous effect and the effects of surface charge-dependent slip on the velocity and the energy conversion efficiency are discussed. Finally, we make our concluding remarks. Mathematical modeling Problem definition and governing equations We consider a time-periodic pressure-driven flow
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Published 06 Aug 2019

Material discrimination and mixture ratio estimation in nanocomposites via harmonic atomic force microscopy

  • Weijie Zhang,
  • Yuhang Chen,
  • Xicheng Xia and
  • Jiaru Chu

Beilstein J. Nanotechnol. 2017, 8, 2771–2780, doi:10.3762/bjnano.8.276

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  • utilization of reference materials may reduce the difficulty in mathematical modeling. However, this subject requires further numerical and experimental studies and is beyond the scope of current work. Effect of laser spot position In most AFM instruments, the cantilever deflection is measured by the optical
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Published 21 Dec 2017

Numerical investigation of the tribological performance of micro-dimple textured surfaces under hydrodynamic lubrication

  • Kangmei Li,
  • Dalei Jing,
  • Jun Hu,
  • Xiaohong Ding and
  • Zhenqiang Yao

Beilstein J. Nanotechnol. 2017, 8, 2324–2338, doi:10.3762/bjnano.8.232

Graphical Abstract
  • is the characteristic length of a micro-dimple unit, h0 is the thickness of lubricant film, which is identical to the gap between the friction pairs, h is the depth of the micro-dimple and d is the diameter of dimple. Mathematical modeling Governing equations In order to solve the hydrodynamic
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Published 06 Nov 2017

Collembola cuticles and the three-phase line tension

  • Håkon Gundersen,
  • Hans Petter Leinaas and
  • Christian Thaulow

Beilstein J. Nanotechnol. 2017, 8, 1714–1722, doi:10.3762/bjnano.8.172

Graphical Abstract
  • explain the observed contact angles. The wetted area fraction can be demonstrated by experimental methods, as shown here, as well as through mathematical modeling of the energy needed to transition from composite wetting to non-composite wetting [4]. This yields a wetted area that is determined by the
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Published 18 Aug 2017

The optimal shape of elastomer mushroom-like fibers for high and robust adhesion

  • Burak Aksak,
  • Korhan Sahin and
  • Metin Sitti

Beilstein J. Nanotechnol. 2014, 5, 630–638, doi:10.3762/bjnano.5.74

Graphical Abstract
  • ) Illustration of three different wedge angles for the mushroom-tipped fibers with β = 1.2 and θ = 45°. (right) Simulation results for 45° wedge (diamond markers), 90° wedge (square markers), and rounded wedge (circular markers). Supporting Information Supporting Information File 46: Details of mathematical
  • modeling. Acknowledgements Part of this work was funded by National Science Foundation (IPP-0930610).
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Published 14 May 2014

Size-dependent characteristics of electrostatically actuated fluid-conveying carbon nanotubes based on modified couple stress theory

  • Mir Masoud Seyyed Fakhrabadi,
  • Abbas Rastgoo and
  • Mohammad Taghi Ahmadian

Beilstein J. Nanotechnol. 2013, 4, 771–780, doi:10.3762/bjnano.4.88

Graphical Abstract
  • ]. Rasekh and Khadem added to the mathematical modeling of CNT-based NEMS more comprehensive results about the static and dynamic behavior of the CNTs under electrostatic and vdW forces [20]. Potential applications of CNTs range from nanoelectronic devices to nanofluidic systems [21][22][23][24][25][26
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Published 20 Nov 2013
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