Erratum: Modeling rigid magnetically rotated microswimmers: Rotation axes, bistability, and controllability [Phys. Rev. E 
<b>90</b>
, 063006 (2014)]

Meshkati, Farshad; Fu, Henry

doi:10.1103/physreve.95.069904

Cited by 8 publications

(11 citation statements)

References 1 publication

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“…The agreement between our model and experimental swimming speeds for helices lends support to the use of our model for a wide variety of geometries, including achiral geometries [35]. The potential insights allowed by our technique are demonstrated by investigations of stability in varying magnetic field conditions [43], as well as the rotational dynamics of helices reported here. Our model may be useful tor designing effective microswimmers from a much larger geometry space than helical geometries alone.…”

Section: Introductionsupporting

confidence: 62%

“…[43], Here we summarize the essential features for the present study; for more details, please see Ref. [43], In the zero Reynolds number limit appropriate for microswimmers, the instantaneous velocity (v) and angular velocity (S2) applied to a rigid body are linearly related to the external force (F) and torque (N) through a 6 x 6 mobility matrix, In the above, K, M, and C are 3 x 3 submatrices that relate translations to forces, rotations to torques, and translations to torques, respectively. According to this definition, K and M are positive definite.…”

Section: Model and Methodsmentioning

confidence: 97%

“…Besides its application to the helical swimmers, the work reported here also provides quantitative validation of the modeling technique used. In [35] and [43] we reported the technique as a method applicable to generic geometries, providing qualitative comparison to observations in [35], but did not quantitatively compare it to experimental results. The agreement between our model and experimental swimming speeds for helices lends support to the use of our model for a wide variety of geometries, including achiral geometries [35].…”

Section: Introductionmentioning

confidence: 91%

“…To calculate quantitatively accurate mobility matrices, we used the method of regularized Stokeslets [46,51], Our group has previously implemented the method [52], including to find mobility matrices for the modeling procedure employed in this paper [35,43], and details of the method can be found in those references.…”

Section: Appendix B: Quantitative Calculation Of Mobility Matricesmentioning

confidence: 99%

“…In previous publications [35,43], we have described a modeling method for rigid magnetically rotated swimmers that is applicable for arbitrary geometries. The method identifies stable steady rotating orbits of the swimmer for given experi mental conditions in terms of the rotation axis of the swimmer and the orientation of the swimmer relative to the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Magnetization directions and geometries of helical microswimmers for linear velocity-frequency response

Jabbarzadeh

Meshkati

2015

Phys. Rev. E

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Recently, there has been much progress in creating microswimmers or microrobots capable of controlled propulsion in fluidic environments. These microswimmers have numerous possible applications in biomedicine, microfabrication, and sensing. One type of effective microrobot consists of rigid magnetic helical microswimmers that are propelled when rotated at a range of frequencies by an external rotating magnetic field. Here we focus on investigating which magnetic dipoles and helical geometries optimally lead to linear velocity-frequency response, which may be desirable for the precise control and positioning of microswimmers. We identify a class of optimal magnetic field moments. We connect our results to the wobbling behavior previously observed and studied in helical microswimmers. In contrast to previous studies, we find that when the full helical geometry is taken into account, wobble-free motion is not possible for magnetic fields rotating in a plane. Our results compare well quantitatively to previously reported experiments, validating the theoretical analysis method. Finally, in the context of our optimal moments, we identify helical geometries for minimization of wobbling and maximization of swimming velocities.

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Section: Introductionsupporting

confidence: 62%

Section: Model and Methodsmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 91%

Section: Appendix B: Quantitative Calculation Of Mobility Matricesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Magnetization directions and geometries of helical microswimmers for linear velocity-frequency response

Jabbarzadeh

Meshkati

2015

Phys. Rev. E

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Efficient simulation of thermally fluctuating biopolymers immersed in fluids on 1-micron, 1-second scales

Lowengrub

Allard

2019

Journal of Computational Physics

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The combination of fluid-structure interactions with stochasticity, due to thermal fluctuations, remains a challenging problem in computational fluid dynamics. We develop an efficient scheme based on the stochastic immersed boundary method, Stokeslets, and multiple timestepping. We test our method for spherical particles and filaments under purely thermal and deterministic forces and find good agreement with theoretical predictions for Brownian Motion of a particle and equilibrium thermal undulations of a semi-flexible filament. As an initial application, we simulate bio-filaments with the properties of F-actin. We specifically study the average time for two nearby parallel filaments to bundle together. Interestingly, we find a two-fold acceleration in this time between simulations that account for long-range hydrodynamics compared to those that do not, suggesting that our method will reveal significant hydrodynamic effects in biological phenomena.

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Fast Magnetic Micropropellers with Random Shapes

et al. 2015

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Studying propulsion mechanisms in low Reynolds number fluid has implications for many fields, ranging from the biology of motile microorganisms and the physics of active matter to micromixing in catalysis and micro- and nanorobotics. The propulsion of magnetic micropropellers can be characterized by a dimensionless speed, which solely depends on the propeller geometry for a given axis of rotation. However, this dependence has so far been only investigated for helical propeller shapes, which were assumed to be optimal. In order to explore a larger variety of shapes, we experimentally studied the propulsion properties of randomly shaped magnetic micropropellers. Surprisingly, we found that their dimensionless speeds are high on average, comparable to previously reported nanofabricated helical micropropellers. The highest dimensionless speed we observed is higher than that of any previously reported propeller moving in a low Reynolds number fluid, proving that physical random shape generation can be a viable optimization strategy.

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Erratum: Modeling rigid magnetically rotated microswimmers: Rotation axes, bistability, and controllability [Phys. Rev. E 90 , 063006 (2014)]

Abstract: This corrects the article DOI: 10.1103/PhysRevE.90.063006.

Cited by 8 publications

References 1 publication

Magnetization directions and geometries of helical microswimmers for linear velocity-frequency response

Magnetization directions and geometries of helical microswimmers for linear velocity-frequency response

Efficient simulation of thermally fluctuating biopolymers immersed in fluids on 1-micron, 1-second scales

Fast Magnetic Micropropellers with Random Shapes

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