中国物理B ›› 2014, Vol. 23 ›› Issue (11): 114703-114703.doi: 10.1088/1674-1056/23/11/114703

• SPECIAL TOPIC—Non-equilibrium phenomena in soft matters • 上一篇    下一篇

Propulsive matrix of a helical flagellum

张何朋a, 刘斌b, Bruce Rodenbornc, Harry L. Swinneyc   

  1. a Department of Physics and Astronomy and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China;
    b School of Natural Sciences, University of California, Merced, California, USA;
    c Department of Physics and Center for Nonlinear Dynamics, University of Texas at Austin, Austin, Texas, USA
  • 收稿日期:2014-07-25 修回日期:2014-10-20 出版日期:2014-11-15 发布日期:2014-11-15
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No. 11104179), the Shanghai Pujiang Program, China (Grant No. 12PJ1405400), the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning, China (Grant No. SHDP201301), and the Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 14ZZ030).

Propulsive matrix of a helical flagellum

Zhang He-Peng (张何朋)a, Liu Bin (刘斌)b, Bruce Rodenbornc, Harry L. Swinneyc   

  1. a Department of Physics and Astronomy and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China;
    b School of Natural Sciences, University of California, Merced, California, USA;
    c Department of Physics and Center for Nonlinear Dynamics, University of Texas at Austin, Austin, Texas, USA
  • Received:2014-07-25 Revised:2014-10-20 Online:2014-11-15 Published:2014-11-15
  • Contact: Zhang He-Peng E-mail:hepeng_zhang@sjtu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No. 11104179), the Shanghai Pujiang Program, China (Grant No. 12PJ1405400), the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning, China (Grant No. SHDP201301), and the Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 14ZZ030).

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摘要：

We study the propulsion matrix of bacterial flagella numerically using slender body theory and the regularized Stokeslet method in a biologically relevant parameter regime. All three independent elements of the matrix are measured by computing propulsive force and torque generated by a rotating flagellum, and the drag force on a translating flagellum. Numerical results are compared with the predictions of resistive force theory, which is often used to interpret micro-organism propulsion. Neglecting hydrodynamic interactions between different parts of a flagellum in resistive force theory leads to both qualitative and quantitative discrepancies between the theoretical prediction of resistive force theory and the numerical results. We improve the original theory by empirically incorporating the effects of hydrodynamic interactions and propose new expressions for propulsive matrix elements that are accurate over the parameter regime explored.

关键词: low-Reynolds-number flows, micro-organism dynamics, bacterial swimming

Abstract:

We study the propulsion matrix of bacterial flagella numerically using slender body theory and the regularized Stokeslet method in a biologically relevant parameter regime. All three independent elements of the matrix are measured by computing propulsive force and torque generated by a rotating flagellum, and the drag force on a translating flagellum. Numerical results are compared with the predictions of resistive force theory, which is often used to interpret micro-organism propulsion. Neglecting hydrodynamic interactions between different parts of a flagellum in resistive force theory leads to both qualitative and quantitative discrepancies between the theoretical prediction of resistive force theory and the numerical results. We improve the original theory by empirically incorporating the effects of hydrodynamic interactions and propose new expressions for propulsive matrix elements that are accurate over the parameter regime explored.

Key words: low-Reynolds-number flows, micro-organism dynamics, bacterial swimming

中图分类号:  (Biological fluid dynamics)

  • 47.63.-b
47.63.Gd (Swimming microorganisms) 87.17.Jj (Cell locomotion, chemotaxis) 87.16.Qp (Pseudopods, lamellipods, cilia, and flagella)