Hydrodynamic interaction between two nearby swimming micromachines

Nasseri, Simin; Phan‐Thien, N.

doi:10.1007/s004660050275

Cited by 32 publications

(46 citation statements)

References 13 publications

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“…In most of the previous analytical studies on cell-cell interactions (Guell et al, 1988;Ramia et al, 1993;Nasseri and Phan-Thien, 1997;Jiang et al, 2002), two cells in close contact were not discussed. [Lega and Passot (Lega and Passot, 2003) included an ad hoc interactive force acting between cells, which in practice is unlikely to exist.]…”

Section: Discussionmentioning

confidence: 99%

“…Although two-cell interactions are important when considering the interactions between many cells, it is not at all clear how cells behave when they are in close contact. Also, cell-cell interactions were not modelled precisely in any previous analytical studies dealing with a nondilute suspension of micro-organisms (Guell et al, 1988;Ramia et al, 1993;Nasseri and Phan-Thien, 1997;Lega and Passot, 2003;Jiang et al, 2002). In this study, we clarify how two micro-organisms interact when they come close to each other, both experimentally and numerically.…”

Section: Introductionmentioning

confidence: 91%

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Interaction of two swimming Paramecia

Ishikawa

Hota

2006

Journal of Experimental Biology

129

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SUMMARY The interaction between two swimming Paramecium caudatum was investigated experimentally. Cell motion was restricted between flat plates,and avoiding and escape reactions were observed, as well as hydrodynamic interactions. The results showed that changes in direction between two swimming cells were induced mainly by hydrodynamic forces and that the biological reaction was a minor factor. Numerical simulations were also performed using a boundary element method. P. caudatum was modelled as a rigid spheroid with surface tangential velocity measured by a particle image velocimetry (PIV) technique. Hydrodynamic interactions observed in the experiment agreed well with the numerical simulations, so we can conclude that the present cell model is appropriate for describing the motion of P. caudatum.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 91%

Interaction of two swimming Paramecia

Ishikawa

Hota

2006

Journal of Experimental Biology

129

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“…These interactions may be expected to be substantial because of the long range nature of the fluid flow generated by point forces at low Reynolds number, and have already been shown to be important in magnetotactic band formation [10] and in many aspects of bacterial behaviour near surfaces [11,12,13]. Hydrodynamic interactions between swimmers have been studied using a variety of theoretical models, including flagella driven micromachines [14] ' and 'thruster' models [18].…”

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confidence: 99%

Scattering of low-Reynolds-number swimmers

Alexander¹,

Pooley²,

Yeomans³

2008

Phys. Rev. E

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We describe the consequences of time reversal invariance of the Stokes' equations for the hydrodynamic scattering of two low Reynolds number swimmers. For swimmers that are related to each other by a time reversal transformation this leads to the striking result that the angle between the two swimmers is preserved by the scattering. The result is illustrated for the particular case of a linked-sphere model swimmer. For more general pairs of swimmers, not related to each other by time reversal, we find hydrodynamic scattering can alter the angle between their trajectories by several tens of degrees. For two identical contractile swimmers this can lead to the formation of a bound state.PACS numbers: 47.63.mf, 47.63.Gd,The motile behaviour of micron sized organisms offers an insight into a physical environment very different to our own. Micron length scales correspond to low Reynolds number conditions where viscous forces dominate over the effects of inertia. Since Taylor's seminal paper [1] there has been considerable progress in our understanding of how low Reynolds number swimmers generate their motility [2,3,4,5,6]. In the past few years this has included both the development of artificial microswimmers [7] and a number of simple theoretical models [8,9].A topic of growing interest is the role played by hydrodynamic interactions in determining low Reynolds number swimming. These interactions may be expected to be substantial because of the long range nature of the fluid flow generated by point forces at low Reynolds number, and have already been shown to be important in magnetotactic band formation [10] and in many aspects of bacterial behaviour near surfaces [11,12,13]. Hydrodynamic interactions between swimmers have been studied using a variety of theoretical models, including flagella driven micromachines [14] ' and 'thruster' models [18].A vital concept in understanding the swimming of microscopic organisms is that the Stokes' equations, which govern zero Reynolds number fluid flows, do not possess any intrinsic notion of time. For an incompressible fluid of viscosity µ, the fluid velocity u and pressure p satisfyand the flow throughout the entire fluid is determined by specifying the instantaneous boundary conditions. The fluid moves when the boundaries move and stops when the boundaries stop. If the motion of the boundaries is reversed then the fluid flow is also reversed and each fluid element returns to its original position, a phenomenon known as kinematic reversibility of Stokes flows. This has important consequences for the locomotion of microscopic organisms, for if their motions are reciprocal, such as the opening and closing of a single-hinged scallop [3], then kinematic reversibility implies that the forward motion of the first half of the stroke is exactly cancelled during the second half and there is no net motion, a result commonly referred to as the Scallop theorem. Kinematic reversibility also implies that when the motion of a swimmer (A) is reversed, it produces a second swimming stroke (Ā...

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“…Guell (40) discussed the flow field far from a spherical body with a rotating helical flagellum (modelling a swimming bacterium). Ramia (41) and Nasseri (42) also investigated the interaction between two spheroidal bodies with rotating helical flagella by using a boundary element method. Their computational conditions were limited to two cases, swimming side by side and swimming along one line.…”

Section: Interactions Between Two Squirmersmentioning

confidence: 99%

From Passive Motion of Capsules to Active Motion of Cells

Barthès-Biesel

Yamaguchi

Ishikawa

et al. 2006

JBSE

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In the past three decades, there has been great progress in the mathematical modeling and computational methods for fluid mechanics of suspensions of micron-scale particles. In medical or biological applications, the particles can be very deformable, self propelled or both. Research on mathematical and computational methods for the modelling of suspensions of such particles is currently very active. In this review paper, we introduce some of the concepts that are used to analyse suspensions of either passive deformable particles or active locomotive particles. To simplify matters, we consider simple model particles that are initially spherical. In one case, the particle is a liquid droplet enclosed by a thin deformable membrane (a 'capsule') and is deformed by hydrodynamic forces. In the other case, the particle remains spherical but propels itself by means of a velocity wave on its surface. Athough the basic equations for locomotive spherical cells and for capsules are similar, the resulting suspension characteristics are quite different owing to the different boundary conditions on the surface of the particles.

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Hydrodynamic interaction between two nearby swimming micromachines

Cited by 32 publications

References 13 publications

Interaction of two swimming Paramecia

Interaction of two swimming Paramecia

Scattering of low-Reynolds-number swimmers

From Passive Motion of Capsules to Active Motion of Cells

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