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Mathematical Modeling of the Interaction between a Single-Walled Nanotube Tip and a Biological Surface

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Biomedical Engineering Aims and scope

The vibration characteristics of arbitrarily oriented tips made of single-walled carbon nanotubes (SWCNT) applied to biological surfaces of arbitrary scale were studied. A mathematical model was established linking the parameters of the SWCNT tip with its vibration characteristics using d’Alembert’s principle. Modeling was used to study the effects of tip rigidity and geometry on the tip position in three-dimensional space, related to applied aspects of biology.

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Authors and Affiliations

  1. Tomsk Polytechnic University, Tomsk, Russia

    V. S. Deeva

  2. Tver State Technical University, Tver, Russia

    S. M. Slobodyan

Authors
  1. V. S. Deeva
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  2. S. M. Slobodyan
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Correspondence to V. S. Deeva.

Additional information

Translated from Meditsinskaya Tekhnika, Vol. 54, No. 1, Jan.-Feb., 2020, pp. 36-39.

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Deeva, V.S., Slobodyan, S.M. Mathematical Modeling of the Interaction between a Single-Walled Nanotube Tip and a Biological Surface. Biomed Eng 54, 51–55 (2020). https://doi.org/10.1007/s10527-020-09972-8

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  • DOI: https://doi.org/10.1007/s10527-020-09972-8

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