Fluid–structure interaction of three-dimensional magnetic artificial cilia

Khaderi, S. N.; Onck, Patrick

doi:10.1017/jfm.2012.306

Cited by 47 publications

(94 citation statements)

References 30 publications

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“…7 and 9): one antiplectic and one symplectic. This is consistent with previous computational results 26,37,38 . The optimal values of ∆φ are summarized in Table I.…”

Section: Discussionsupporting

confidence: 94%

Cilia beating patterns are not hydrodynamically optimal

Guo¹,

Nawroth²,

Ding³

et al. 2014

Physics of Fluids

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We examine the hydrodynamic performance of two cilia beating patterns reconstructed from experimental data. In their respective natural systems, the two beating patterns correspond to: (A) pumping-specialized cilia, and (B) swimming-specialized cilia. We compare the performance of these two cilia beating patterns as a function of the metachronal coordination in the context of two model systems: the swimming of a ciliated cylinder and the fluid pumping by a ciliated carpet. Three performance measures are used for this comparison: (i) average swimming speed/pumping flow rate; (ii) maximum internal moments generated by the cilia; and (iii) swimming/pumping efficiencies. We found that, in both models, pattern (B) outperforms pattern (A) in almost all three measures, including hydrodynamic efficiency. These results challenge the notion that hydrodynamic efficiency dictates the cilia beating kinematics, and suggest that other biological functions and constraints play a role in explaining the wide variety of cilia beating patterns observed in biological systems.Comment: 15 pages, 8 figure

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“…7 and 9): one antiplectic and one symplectic. This is consistent with previous computational results 26,37,38 . The optimal values of ∆φ are summarized in Table I.…”

Section: Discussionsupporting

confidence: 94%

Cilia beating patterns are not hydrodynamically optimal

Guo¹,

Nawroth²,

Ding³

et al. 2014

Physics of Fluids

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“…Coupling of the solid mechanics and fluid dynamics equations will be done in an implicit manner by incorporating the equivalent drag matrix due to the fluid into the stiffness matrix [70]. The external nodal force vector due to the fluid's drag forces (see Eq.…”

Section: A3 Fluid-solid Interaction and Implicit Couplingmentioning

confidence: 99%

Emergence of flagellar beating from the collective behavior of individual ATP-powered dyneins

Namdeo

Onck

2016

Phys. Rev. E

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Flagella are hair-like projections form the surface of eukaryotic cells and play an important role in many cellular functions such as cell-motility. The beating of flagella is enabled by their internal architecture, the axoneme, and is powered by a dense distribution of motor proteins, dyneins. The dyneins deliver the required mechanical work through the hydrolysis of ATP. Although the dynein ATP-cycle, the axoneme microstructure and the flagellar beating kinematics are well studied, their integration into a coherent picture of ATP-powered flagellar beating is still lacking. Here we show that a timedelayed negative-work based switching mechanism is able to convert the individual sliding action of hundreds of dyneins into a regular overall beating pattern leading to propulsion. We developed a computational model based on a minimal

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“…These magnetic body couples are considered as input (external force vector) to the FSI model. The approach is summarized in appendix A; full details can be found elsewhere [30]. The swimming velocity of the micro-swimmer will depend on the system parameters, such as the geometry and flexibility of the polymer film, viscosity of the aqueous environment, and the magnitude and angular frequency of the applied magnetic field.…”

Section: Computational Model and Dimensional Analysismentioning

confidence: 99%

“…The magneto-responsive micro-swimmers are subjected to magnetic body couples (N) owing to the externally applied magnetic field (B), which can be obtained from the cross- [30]. [30], see equation (A 12).…”

Section: (A) Magnetostaticsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical modelling of chirality-induced bi-directional swimming of artificial flagella

Namdeo¹,

Khaderi

Onck³

2014

Proc. R. Soc. A.

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Biomimetic micro-swimmers can be used for various medical applications, such as targeted drug delivery and micro-object (e.g. biological cells) manipulation, in lab-on-a-chip devices. Bacteria swim using a bundle of flagella (flexible hair-like structures) that form a rotating cork-screw of chiral shape. To mimic bacterial swimming, we employ a computational approach to design a bacterial (chirality-induced) swimmer whose chiral shape and rotational velocity can be controlled by an external magnetic field. In our model, we numerically solve the coupled governing equations that describe the system dynamics (i.e. solid mechanics, fluid dynamics and magnetostatics). We explore the swimming response as a function of the characteristic dimensionless parameters and put special emphasis on controlling the swimming direction. Our results provide fundamental physical insight on the chirality-induced propulsion, and it provides guidelines for the design of magnetic bi-directional micro-swimmers.

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Fluid–structure interaction of three-dimensional magnetic artificial cilia

Cited by 47 publications

References 30 publications

Cilia beating patterns are not hydrodynamically optimal

Cilia beating patterns are not hydrodynamically optimal

Emergence of flagellar beating from the collective behavior of individual ATP-powered dyneins

Numerical modelling of chirality-induced bi-directional swimming of artificial flagella

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