Special Issue: The 2nd International Conference on Biomedical Engineering and Biotechnology (iCBEB 2013); Wuhan, China, October 11-13, 2013No Access

A MATHEMATICAL MODEL FOR MICRO- AND NANO-SWIMMERS

YUAN-QING XU

School of Life Science, Beijing Institute of Technology, Beijing 100081, P. R. China

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FANG-BAO TIAN

School of Life Science, Beijing Institute of Technology, Beijing 100081, P. R. China

Department of Mechanical Engineering, Vanderbilt University, 2301 Vanderbilt Pl., Nashville, TN 37235-1592, USA

Corresponding author.

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XIAO-YING TANG

School of Life Science, Beijing Institute of Technology, Beijing 100081, P. R. China

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, and

YU-HUA PENG

School of Life Science, Beijing Institute of Technology, Beijing 100081, P. R. China

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https://doi.org/10.1142/S0219519413400137Cited by:1 (Source: Crossref)

Abstract

In order to explore the kinetic characteristics of planktonic microorganisms and nanometer biological motors, a mathematical model is developed to estimate the hydrodynamic force in the migration of micro- and nano-swimmers by using the Laplace transformation and linear superposition. Based on the model, it is found that a micro- and nano-swimmer will enjoy a positive propulsive force by improving frequencies or generating traveling waves along its body if it is not time reversible. The results obtained in this study provide a physical insight into the behaviors of the micro- and nano-swimmer at low Reynolds numbers, and the corresponding quantitative basis can also be potentially used in the design of nanorobot and nanosized biomaterials.

Keywords:

AMSC: 22E46, 53C35, 57S20

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