Flagellar dynamics of a connected chain of active, polar, Brownian particles

Chelakkot, Raghunath; Gopinath, Arvind; Mahadevan, L.; Hagan, Michael F.

doi:10.1098/rsif.2013.0884

Cited by 119 publications

(168 citation statements)

References 32 publications

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“…Experiments reveal the resulting buckled shape is determined by the strength and type of surface defect or pinning 17,22 . Buckling instabilities have also been observed in simulations of a variety of models of pinned or clamped motility assays filaments 22,[24][25][26][27] . Recent Brownian dynamics simulations also found buckling instabilities in follower-force propelled filaments pushing a cargo 28 .…”

Section: Introductionmentioning

confidence: 88%

“…Fatehiboroujeni et al 46 studied the double-clamped 3D case, in which both ends of the filament are clamped and the base state is pre-buckled. Chellakot et al 27 studied a slightly different problem with noisy follower forces using a bead-spring model (discussed further in section 5) and found β db ≈ 36 and β hb ≈ 78 in the weak (but finite) follower force noise regime. Reference 27 also discusses the β 4/3 growth of the frequency in both pinned and clamped filaments, however they find it no longer holds at very large β .…”

Section: Related Constrained Follower-force Problemsmentioning

confidence: 99%

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Instabilities and Spatiotemporal Dynamics of Active Elastic Filaments

Fily¹,

Subramanian

et al. 2019

Preprint

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Biological filaments driven by molecular motors tend to experience tangential propulsive forces also known as active follower forces. When such a filament encounters an obstacle, it deforms, which reorients its follower forces and alters its entire motion. If the filament pushes a cargo, the friction on the cargo can be enough to deform the filament, thus affecting the transport properties of the cargo. Motivated by cytoskeletal filament motility assays, we study the dynamic buckling instabilities of a two-dimensional slender elastic filament driven through a dissipative medium by tangential propulsive forces in the presence of obstacles or cargo. We observe two distinct instabilities. When the filament's head is pinned or experiences significant translational but little rotational drag from its cargo, it buckles into a steadily rotating coiled state. When it is clamped or experiences both significant translational and rotational drag from its cargo, it buckles into a periodically beating, overall translating state. Using minimal analytically tractable models, linear stability theory, and fully non-linear computations, we study the onset of each buckling instability, characterize each buckled state, and map out the phase diagram of the system. Finally, we use particle-based Brownian dynamics simulations to show our main results are robust to moderate noise and steric repulsion. Overall, our results provide a unified framework to understand the dynamics of tangentially propelled filaments and filament-cargo assemblies.

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Section: Introductionmentioning

confidence: 88%

Section: Related Constrained Follower-force Problemsmentioning

confidence: 99%

Instabilities and Spatiotemporal Dynamics of Active Elastic Filaments

Fily¹,

Subramanian

et al. 2019

Preprint

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“…For a polymer, activity can be interpreted in two ways. On the one hand, our polymer can be considered as comprised of active monomers, e.g., active Brownian particles [21,22,35,36,38,40]. On the other hand, the active force may originate from interactions with uncorrelated surrounding ABPs, hence, the polymer corresponds to a passive polymer dissolved in an active bath [30,41,42].…”

Section: Introductionmentioning

confidence: 99%

Conformational and dynamical properties of semiflexible polymers in the presence of active noise

Eisenstecken

Ghavami

Mair

et al. 2017

AIP Conference Proceedings

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Abstract. In the presence of active noise, flexible and semiflexible polymers exhibit drastically different conformational and dynamical features compared to the case of thermal (white) noise only. For a non-Markovian exponentially correlated temporal noise (colored noise), flexible polymers swell with increasing noise strength, whereas semiflexible polymers shrink first and, for larger noise strengths, swell similar to flexible polymers. Thereby, a suitable treatment of the finite polymer contour length is essential. The finite contour length implies a strong dependence of the polymer relaxation times on the noise strengths. We discuss the conformational and dynamical aspects in terms of an analytical model, adopting the continuous Gaussian semiflexible polymer description. Moreover, results of computer simulations are shown and compared with analytical results.

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“…Studies of individual active filaments either pivoting or freely swimming showed that activity can drive conformational transformations [48], such as spiralling and spontaneous beating [42,49,50], both in the presence and absence of hydrodynamic interactions. Balancing the bending moment with the torque produced by the active force shows [49,50] that activity increases the tendency of the filament to buckle, thus reducing its persistence length. Similar effects have also been observed in models that treat activity as timecorrelated random forces [51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Dynamically generated patterns in dense suspensions of active filaments

2018

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We use Langevin dynamics simulations to study dynamical behavior of a dense planar layer of active semiflexible filaments. Using the strength of active force and the thermal persistence length as parameters, we map a detailed phase diagram and identify several nonequilibrium phases in this system. In addition to a slowly flowing melt phase, we observe that, for sufficiently high activity, collective flow accompanied by signatures of local polar and nematic order appears in the system. This state is also characterized by strong density fluctuations. Furthermore, we identify an activity-driven crossover from this state of coherently flowing bundles of filaments to a phase with no global flow, formed by individual filaments coiled into rotating spirals. This suggests a mechanism where the system responds to activity by changing the shape of active agents, an effect with no analog in systems of active particles without internal degrees of freedom.

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Flagellar dynamics of a connected chain of active, polar, Brownian particles

Cited by 119 publications

References 32 publications

Instabilities and Spatiotemporal Dynamics of Active Elastic Filaments

Instabilities and Spatiotemporal Dynamics of Active Elastic Filaments

Conformational and dynamical properties of semiflexible polymers in the presence of active noise

Dynamically generated patterns in dense suspensions of active filaments

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