Magnetically-actuated artificial cilium: a simple theoretical model

Meng, Fanyu; Matsunaga, Daiki; Yeomans, J. M.; Golestanian, Ramin

doi:10.1039/c8sm02561d

Cited by 25 publications

(31 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One instance could be the more effective delivery of inhaled drugs to the lung airway; e.g., an asthma inhaler or dry powder insulin inhaler. A second possibility is to help design synthetic cilia or cilia mimetics for patients with impaired lung cilia, such as magnetically or acoustically actuated cilia [102,103,104]. Synthetic molecular motors [105,106] have become available, which transfer chemical energy to motion at the nanoscale.…”

Section: Summary and Future Directionsmentioning

confidence: 99%

Mathematical Modeling of Mucociliary Clearance: A Mini-Review

Jiang

2019

Cells

View full text Add to dashboard Cite

Mucociliary clearance is an important innate host defense of the mammalian respiratory system, as it traps foreign substances, including pollutants, pathogens, and allergens, and transports them out of the airway. The underlying mechanism of the actuation and coordination of cilia, the interplay between the cilia and mucus, and the formation of the metachronal wave have been explored extensively both experimentally and mathematically. In this mini-review, we provide a survey of the mathematical models of mucociliary clearance, from the motion of one single cilium to the emergence of the metachronal wave in a group of them, from the fundamental theoretical study to the state-of-the-art three-dimensional simulations. The mechanism of cilium actuation is discussed, together with the mathematical simplification and the implications or caveats of the results.

show abstract

Section: Summary and Future Directionsmentioning

confidence: 99%

Mathematical Modeling of Mucociliary Clearance: A Mini-Review

Jiang

2019

Cells

View full text Add to dashboard Cite

show abstract

“…In the absence of dipole interaction, the rotational velocity is determined purely by the torque from the external field T ext . The rotational velocity is therefore simply oðtÞ ¼ mB 8pZa 3 sinðyðtÞ À fðtÞÞ (14) and the time evolution of the phase difference…”

Section: Motion Of a Single Rotormentioning

confidence: 99%

“…For 1/(t r f) o 2p, however, there is no solution with _ Da0: the rotor does not reach a constant velocity but periodically slips to move backwards as it fails to keep up with the external field. 2,14,28 3.2 3 Â 3 array Fig. 2(a) is a phase diagram showing the dynamical configurations of 3 Â 3 arrays of magnetic rotors (see also Movie S1, ESI †).…”

Section: Motion Of a Single Rotormentioning

confidence: 99%

“…Magnetic forces provide a useful way of driving small units in viscous fluids. For example, in recent years magnetic driving has been extensively used in microfluidic devices, for applications such as magnetic swimmers, [1][2][3][4] magnetic spinners, [5][6][7] magnetic pumps 8,9 and cilia, [10][11][12][13][14] and to facilitate particle sorting and segregation. [15][16][17][18] Many of the approaches are designed to control a single magnetic unit or to actuate many units in exactly the same manner.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Degenerate states, emergent dynamics and fluid mixing by magnetic rotors

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…Magnetic driving is convenient, and in recent years there have been several suggestions for ways to use magnetic colloids in microfluidic applications. These include swimmers 1–6 , pumps 7–10 , cilia 11–15 , and for particle sorting and segregation 16–19 . For reviews see refs.…”

Section: Introductionmentioning

confidence: 99%

Controlling collective rotational patterns of magnetic rotors

et al. 2019

Self Cite

View full text Add to dashboard Cite

Magnetic actuation is widely used in engineering specific forms of controlled motion in microfluidic applications. A challenge, however, is how to extract different desired responses from different components in the system using the same external magnetic drive. Using experiments, simulations, and theoretical arguments, we present emergent rotational patterns in an array of identical magnetic rotors under an uniform, oscillating magnetic field. By changing the relative strength of the external field strength versus the dipolar interactions between the rotors, different collective modes are selected by the rotors. When the dipole interaction is dominant the rotors swing upwards or downwards in alternating stripes, reflecting the spin-ice symmetry of the static configuration. For larger spacings, when the external field dominates over the dipolar interactions, the rotors undergo full rotations, with different quarters of the array turning in different directions. Our work sheds light on how collective behaviour can be engineered in magnetic systems.

show abstract

Magnetically-actuated artificial cilium: a simple theoretical model

Abstract: We propose a theoretical model for a magnetically-actuated artificial cilium in a fluid environment and investigate its dynamical behaviour, using both analytical calculations and numerical simulations.

Cited by 25 publications

References 50 publications

Mathematical Modeling of Mucociliary Clearance: A Mini-Review

Mathematical Modeling of Mucociliary Clearance: A Mini-Review

Degenerate states, emergent dynamics and fluid mixing by magnetic rotors

Controlling collective rotational patterns of magnetic rotors

Contact Info

Product

Resources

About