2017/12/07 by Clément Moreau, Moreau, Clément, Laëtitia Giraldi +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Blood properties and coagulation #Cellular Mechanics and Interactions #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Micro and Nano Robotics
paper · pdf · doi:10.48550/arxiv.1712.02697
openalex publication_date 2017/12/07 · openalex created_date 2022/09/26 · openalex updated_date 2026/07/28
The inertialess fluid-structure interactions of active and passive\ninextensible filaments and slender- rods are ubiquitous in nature, from the\ndynamics of semi-flexible polymers and cytoskeletal filaments to cellular\nmechanics and flagella. The coupling between the geometry of deformation and\nthe phys- ical interaction governing the dynamics of bio-filaments is complex.\nGoverning equations negotiate elastohydrodynamical interactions with\nnon-holonomic constraints arising from the filament inex- tensibility. Such\nelastohydrodynamic systems are structurally convoluted, prone to numerical\nerros, thus requiring penalization methods and high-order spatiotemporal\npropagators. The asymptotic coarse-graining formulation presented here exploits\nthe momentum balance in the asymptotic limit of small rod-like elements which\nare integrated semi-analytically. This greatly simplifies the elas-\ntohydrodynamic interactions and overcomes previous numerical instability. The\nresulting matricial system is straightforward and intuitive to implement, and\nallows for a fast and efficient computation, over than a hundred times faster\nthan previous schemes. Only basic knowledge of systems of linear equations is\nrequired, and implementation achieved with any solver of choice.\nGeneralisations for complex interaction of multiple rods, Brownian polymer\ndynamics, active filaments and non-local hydrodynamics are also\nstraightforward. We demonstrate these in four examples commonly found in\nbiological systems, including the dynamics of filaments and flagella. Three of\nthese systems are novel in the literature. We additionally provide a Matlab\ncode that can be used as a basis for further generalisations.\n