Gliding motion of bacteria on power‐law slime

Wang, Yongqi; Hayat, Tasawar; Siddiqui, A. M.

doi:10.1002/mma.571

Cited by 22 publications

(11 citation statements)

References 38 publications

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“…Most motile bacteria move by the use of one or more flagella and are able to swim in a viscous fluid environment [85]. Alternative forms of bacterial motility include gliding in myxobacteria [96,104,52,40] and the complex swimming mechanisms of spirochaetes [25,105]. Bacterial swarming on surfaces is also facilitated by flagella [58].…”

Section: Introductionmentioning

confidence: 99%

A 3D Motile Rod-Shaped Monotrichous Bacterial Model

Hsu

Dillon

2009

Bull. Math. Biol.

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We introduce a 3D model for a motile rod-shaped bacterial cell with a single polar flagellum which is based on the configuration of a monotrichous type of bacteria such as Pseudomonas aeruginosa. The structure of the model bacterial cell consists of a cylindrical body together with the flagellar forces produced by the rotation of a helical flagellum. The rod-shaped cell body is composed of a set of immersed boundary points and elastic links. The helical flagellum is assumed to be rigid and modeled as a set of discrete points along the helical flagellum and flagellar hook. A set of flagellar forces are applied along this helical curve as the flagellum rotates. An additional set of torque balance forces are applied on the cell body to induce counter-rotation of the body and provide torque balance. The three dimensional Navier-Stokes equations for incompressible fluid are used to described the fluid dynamics of the coupled fluid-microorganism system using Peskin's immersed boundary method. A study of numerical convergence is presented along with simulations of a single cell and the interaction of two model cells.

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Section: Introductionmentioning

confidence: 99%

A 3D Motile Rod-Shaped Monotrichous Bacterial Model

Hsu

Dillon

2009

Bull. Math. Biol.

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“…To this end, we shall employ an implicit iterative finite difference method (FDM). We construct an iterative procedure to convert the original nonlinear problem to a linear one at the (m+1) th iterative step, as follows: [16] and also Hayat et al [17] in the context of gliding motility of bacteria showing excellent accuracy and stability.…”

Section: B Finite Difference Methods (Fdm) Numerical Computationsmentioning

confidence: 99%

“…This assumption is known as the long wave length assumption in the literature and is popular in lubrication theory and other areas including bacterial transport phenomena modelling [14][15][16][17] and peristaltic propulsion [33,34]. In view of this assumption, Eqn.…”

Section: Problem Formulationmentioning

confidence: 99%

“…It was also shown that for a shear-thinning third-grade fluid, the power required for translation is reduced. Later attempts that incorporated shear-thinning/ shear thickening and viscoelastic nature of slime in undulating surface models for motility of gliding bacteria were made by Wang et al [16] and Hayat et al [17]. However, thusfar, no study is available in the mathematical biology or engineering biomechanics literature, in which an undulating surface model has been employed to study gliding motion of bacteria on a layer of nonNewtonian slime characterized by the Carreau fluid.…”

Section: Introductionmentioning

confidence: 99%

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Bacterial gliding fluid dynamics on a layer of non-Newtonian slime: Perturbation and numerical study

Ali

Asghar

Bég

et al. 2016

Journal of Theoretical Biology

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Abstract:Gliding bacteria are an assorted group of rod-shaped prokaryotes that adhere to and glide on certain layers of ooze slime attached to a substratum. Due to the absence of organelles of motility, such as flagella, the gliding motion is caused by the waves moving down the outer surface of these rodshaped cells. In the present study we employ an undulating surface model to investigate the motility of bacteria on a layer of non-Newtonian slime. The rheological behavior of the slime is characterized by an appropriate constitutive equation, namely the Carreau model. Employing the balances of mass and momentum conservation, the hydrodynamic undulating surface model is transformed into a fourth-order nonlinear differential equation in terms of a stream function under the long wavelength assumption. A perturbation approach is adopted to obtain closed form expressions for stream function, pressure rise per wavelength, forces generated by the organism and power required for propulsion. A numerical technique based on an implicit finite difference scheme is also employed to investigate various features of the model for large values of the rheological parameters of the slime. Verification of the numerical solutions is achieved with a variational finite element method (FEM). The computations demonstrate that the speed of the glider decreases as the rheology of the slime changes from shear-thinning (pseudo-plastic) to shear-thickening (dilatant). Moreover, the viscoelastic nature of the slime tends to increase the swimming speed for the shear-thinning case. The fluid flow in the pumping (generated where the organism is not free to move but instead generates a net fluid flow beneath it) is also investigated in detail. The study is relevant to marine anti-bacterial fouling and medical hygiene biophysics.

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“…Theoretical analysis of peristalsis has been put forward by using the long wavelength and low Reynolds number assumptions. Researchers investigating non-Newtonian flows often use the power-law fluid model [27][28][29]. As Massoudi and Phuoc [30] pointed out that although the power-law model adequately fits the shear stress and the shear rate measurement for many non-Newtonian fluids, it cannot be used to accurately describe phenomena such as "die swelling" and "rod climbing" which are manifestations of the stresses that develop orthogonal to planes of shear in the flow of these complex fluids.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic motion of a magnetohydrodynamic generalized second‐order fluid in an asymmetric channel

Wang

Ali

Hayat

2011

Numerical Methods Partial

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We investigate the peristaltic motion of a magnetohydrodynamic (MHD) generalized second-order fluid in an asymmetric channel. The governing equations are first modeled and then numerically solved under the long wavelength approximation. Attention has been focused to analyze the shear-thinning and shear-thickening effects of the investigated non-Newtonian fluid, the influence of the magnetic force on the flow, especially the trapping, pumping characteristics caused by the peristalsis of the walls.

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Gliding motion of bacteria on power‐law slime

Cited by 22 publications

References 38 publications

A 3D Motile Rod-Shaped Monotrichous Bacterial Model

A 3D Motile Rod-Shaped Monotrichous Bacterial Model

Bacterial gliding fluid dynamics on a layer of non-Newtonian slime: Perturbation and numerical study

Peristaltic motion of a magnetohydrodynamic generalized second‐order fluid in an asymmetric channel

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