Dissipative shocks behind bacteria gliding

Virga, Epifanio G.

doi:10.1098/rsta.2013.0360

Cited by 4 publications

(5 citation statements)

References 54 publications

(136 reference statements)

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“…Self-propelled particles are often classified by their modes of microscale motion, e.g., gliding or swimming . In particular, we study gliders, rigid particles which propel themselves via interaction with a solid surface or matrix. , Our aim is to provide a general theory and framework for controlling the trajectories of autonomous gliders that is flexible enough to accomplish multiple microrobotic tasks.…”

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confidence: 99%

Ray Optics for Gliders

et al. 2022

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Control of self-propelled particles is central to the development of many microrobotic technologies, from dynamically reconfigurable materials to advanced lab-on-a-chip systems. However, there are few physical principles by which particle trajectories can be specified and can be used to generate a wide range of behaviors. Within the field of ray optics, a single principle for controlling the trajectory of light�Snell's law� yields an intuitive framework for engineering a broad range of devices, from microscopes to cameras and telescopes. Here we show that the motion of self-propelled particles gliding across a resistance discontinuity is governed by a variant of Snell's law, and develop a corresponding ray optics for gliders. Just as the ratio of refractive indexes sets the path of a light ray, the ratio of resistance coefficients is shown to determine the trajectories of gliders. The magnitude of refraction depends on the glider's shape, in particular its aspect ratio, which serves as an analogue to the wavelength of light. This enables the demixing of a polymorphic, many-shaped, beam of gliders into distinct monomorphic, single-shaped, beams through a friction prism. In turn, beams of monomorphic gliders can be focused by spherical and gradient friction lenses. Alternatively, the critical angle for total internal reflection can be used to create shape-selective glider traps. Overall our work suggests that furthering the analogy between light and microscopic gliders may be used for sorting, concentrating, and analyzing self-propelled particles.

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confidence: 99%

Ray Optics for Gliders

et al. 2022

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“…(28) subjected to the B. Cs (29), numerically for some fix values of the emerging parameters with a suitable initial guess of M V and Q . The resulting values of glider's speed and flow rate then tested in equilibrium condition (36) and (37) to check whether it satisfied identically or not.…”

Section: Newton Raphson Technique: a Numerical Schemementioning

confidence: 99%

“…The most recent of these are due to EG. Virga [29], Nan and Zusman [30], Asghar et al [31] and Tchoufag et al [32].…”

Section: Introductionmentioning

confidence: 99%

Computational approach to examine Interactivity between locomotion of bacteria and FENE-P slime adhere to slippery surface

Asghar

Shah

Ali

2022

Preprint

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Motility is a fundamental attribute of bacteria and is one of the common traits shown by it. Many bacteria swim freely in a fluid via rotation of flagella filament, while on the other hand many of them have developed a several varieties of cell motility mechanism without the aid of flagella. The later type of motility mechanism is adopted by rod-shaped bacteria known as gliding bacteria. These gliding bacteria can secrete an extracellular polymeric substance that allow them to move without flagella. This mysterious motility of gliding bacteria has been very attractive to many researchers in recent years and have been studied theoretically/experimentally and mathematically. In the current analysis, a mathematical fluid model (FENE-P) is used to explicate the motility of gliding bacteria on slippery, soft and rigid surfaces. For the mathematical description of the governing equations Cartesian coordinates are used. By utilizing the dimensionless variables, long wavelength and small Reynolds number approximation, the modeled partial differential equation are reduced into forth-order differential equation. The resultant highly non-linear ODEs for the large values of emerging parameters are numerically solved by Newton-Raphson technique. The study revel that the emerging parameters have major effects on gliding speed of the cell, flow rate of the slime and power consumed by the cell. The salient physical application of governing parameters is graphically underlined for soft and rigid surfaces. The outcomes are elaborated in detail further, it is renowned that the current analysis has many biomechanical applications such as it is relevant to marine anti-bacteria fouling and biofuel cell technologies.

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“…Furthermore, the inverted catenary has also been employed to elucidate the gliding phenomenon, a form of locomotion utilized by various bacteria, including myxobacteria and cyanobacteria [61]. This process is facilitated by a filament extruded from the bacteria, making contact with the substrate and inducing shock propagation [62]. Other applications of catenaries to biology include the examination of plant root tip outlines [63], and the development of growth models [64].…”

Section: Introductionmentioning

confidence: 99%

Variational approaches to the elasticity of deformable strings with and without mass redistribution

Giordano

2024

Z Angew Math Mech

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The catenary is a curve that has played a significant role in the history of mathematics, finding applications in various disciplines such as mechanics, technology, architecture, the arts, and biology. In this paper, we introduce some generalizations by applying the variational method to deformable strings. We explore two specific cases: (i) in the first case, we investigate the nonlinear behavior of an elastic string with variable length, dependent on the applied boundary conditions; specifically, this analysis serves to introduce the variational method and demonstrate the process of finding analytical solutions; (ii) in the second case, we examine a deformable string with a constant length; however, we introduce mass redistribution within the string through nonlinear elastic interactions. In the first scenario, the deformation state of the string always describes elongation, as compression states prove to be unstable for fully flexible strings. In contrast, in the second scenario, the finite length constraint induces compressive states in specific configurations and regions of the string. However, it is worth noting that the solution to this problem exists only for values of the elastic constant that are not too low, a phenomenon that is studied in detail. We conduct here both analytical and graphical analyses of various geometries, comparing the elastic behavior of the two aforementioned types of strings. Understanding the elastic behavior of deformable strings, especially the second type involving mass redistribution, is crucial for enhancing comprehension in the study of biological filaments or fibers and soft matter. For instance, these investigations can contribute to understanding the mechanisms employed by cells to sense gravity or other mechanical conditions.

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Dissipative shocks behind bacteria gliding

Cited by 4 publications

References 54 publications

Ray Optics for Gliders

Ray Optics for Gliders

Computational approach to examine Interactivity between locomotion of bacteria and FENE-P slime adhere to slippery surface

Variational approaches to the elasticity of deformable strings with and without mass redistribution

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