Colloidal transport by active filaments

Manna, Raj Kumar; Kumar, P. B. Sunil; Adhikari, R.

doi:10.1063/1.4972010

Cited by 26 publications

(22 citation statements)

References 47 publications

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“…Ling et al 26 found two distinct beating instabilities, one of them helical, in the constrained problem, however we are not aware of any such study for filament-cargo assemblies. Third, long-range hydrodynamic interactions may be included, e.g., by assuming the head is spherical and adding stresslets distributed along the filament [48][49][50] . This may become important for large cargos, or at high filament density when filament-filament interactions are frequent.…”

Section: Discussionmentioning

confidence: 99%

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: Discussionmentioning

confidence: 99%

Instabilities and Spatiotemporal Dynamics of Active Elastic Filaments

Fily¹,

Subramanian

et al. 2019

Preprint

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“…To focus on the role of steric interactions, we do not consider hydrodynamic interactions and the wall only serves to keep the base of the filament fixed. Note that in a system where full hydrodynamic effects are included, fluid flow generated by beating filaments will alter the motion of the filament [33][34][35] . In our case, we neglect these induced fluid flows and consider, to leading order, just the viscous Stokes drag on the beads comprising the filament as they move.…”

Section: Computational Modelmentioning

confidence: 99%

“…These instabilities have been the subject of recent theoretical and computational inquiries. Continuum as well as discrete agent-based models have been used to investigate the emergence of oscillations in single filaments, and coupling-induced synchrony in systems of two rotating filaments [29][30][31][32][33][34][35][36][37][38][39][40] .…”

Section: Introductionmentioning

confidence: 99%

Synchronized oscillations, metachronal waves, and jammed clusters in sterically interacting active filament arrays

Chelakkot

Hagan

Mahadevan

et al. 2020

Preprint

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Autonomous active, elastic filaments that interact with each other to achieve cooperation and synchrony underlie many critical functions in biology. A striking example is ciliary arrays in the mammalian respiratory tract; here individual filaments communicate through direct interactions and through the surrounding fluid to generate metachronal traveling waves crucial for mucociliary clearance. The mechanisms underlying this collective response and the essential ingredients for stable synchronization remain a mystery. In this article, we describe Brownian dynamics simulations of multi-filament arrays, demonstrating that short-range steric inter-filament interactions and surface-roughness are sufficient to generate a rich variety of collective spatiotemporal oscillatory, traveling and static patterns. Starting from results for the collective dynamics of two-and three-filament systems, we identify parameter ranges in which inter-filament interactions lead to synchronized oscillations. We then study how these results generalize to large one-dimensional arrays of many interacting filaments. The phase space characterizing the multi-filament array dynamics and deformations exhibits rich behaviors, including oscillations and traveling metachronal waves, depending on the interplay between geometric spacing between filaments, activity, and elasticity of the filaments. Interestingly, the existence of metachronal waves is nonmonotonic with respect to the inter-filament spacing. We also find that the degree of filament surface roughness significantly affects the dynamics -roughness on scales comparable to the filament thickness generates a locking-mechanism that transforms traveling wave patterns into statically stuck and jammed configurations. Our simulations suggest that short-ranged steric inter-filament interactions are sufficient and perhaps even critical for the development, stability and regulation of collective patterns.

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“…[40][41][42][43] Thet ransport properties of active systems have,i ns everal reports,b een shown to be distinctly different from those at equilibrium. [44][45][46][47] This allows them to exhibit many anomalous features,including enhanced fluid mixing, [12,[48][49][50] work extraction from fluctuations, [51,52] unusual rheology, [53][54][55][56][57][58] and complex interparticle interactions. [59,60] Am ajor incentive in this direction has always been to comprehensively understand the energy distribution profiles around active micro-and nanomotors and to explore correlations between their dynamics and that of their surroundings.T he development of such an understanding is of immense practical importance,since it offers opportunities to better appreciate mechanisms behind many intricate phenomena, such as mixing of nutrients and small molecules in cells,t riggering and propagation of complicated reaction cascades without any external interventions,a nd targeted transport of metabolites under complex cytosolic conditions.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Coupling at Low Reynolds Number

Dey

2019

Angew Chem Int Ed

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Collective and emergent behaviors of active colloidal assemblies provide useful insights into the statistical physics of out-of-equilibrium systems. Colloidal suspensions containing microscopic active swimmers have recently been studied with much vigor to understand principles of energy transfer at low Reynolds number conditions. Using molecules of active enzymes and ångström sized organometallic catalysts it has further been demonstrated that energy can be transferred even by molecules to their surroundings, influencing substantially the overall dynamics of the systems. Monitoring the diffusion of non-reacting tracers dispersed in active solutions, it has been shown that the nature of energy transfer in systems containing different swimmers is surprisingly similar - irrespective of their differences in sizes, modes of energy transduction and propulsion strategies. These observations provide motivation not only to characterize reaction generated force fields under complex fluidic environment but also to look for possible similarity in their behavior across multiple length scales. This review discusses research results obtained so far in this direction, highlighting the common features observed regarding dynamic coupling of swimmers with their surroundings. Activity-induced force generation and its collective effects are expected to find wide importance in transport and organization of materials at smaller length scales. Underscoring the nature of reaction generated perturbations, especially under crowded cytosolic conditions, is further likely to advance our knowledge of intracellular mechanics of small molecules during various metabolic processes and chemical transformations.

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Colloidal transport by active filaments

Cited by 26 publications

References 47 publications

Instabilities and Spatiotemporal Dynamics of Active Elastic Filaments

Instabilities and Spatiotemporal Dynamics of Active Elastic Filaments

Synchronized oscillations, metachronal waves, and jammed clusters in sterically interacting active filament arrays

Dynamic Coupling at Low Reynolds Number

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