Interaction of gliding motion of bacteria with rheological properties of the slime

Costerton, 1961, Observations on the motility and the structure of vitreoscilla, Can. J. Microbiol., 7, 329, 10.1139/m61-040 Halfen, 1970, Gliding in the blue-green alga: a possible mechanism, Nature, 225, 1163, 10.1038/2251163a0 Halfen, 1971, Gliding in the blue-green alga, J. Phycol., 7, 133, 10.1111/j.1529-8817.1971.tb01492.x Humphrey, 1979, Physicochemical and in situ observations on the adhesion of gliding bacteria to surfaces, Arch. Microbiol., 120, 231, 10.1007/BF00423070 Read, 2007, Nanoscale visualization of a fibrillar array in the cell wall of filamentous cyanobacteria and its implications for gliding motility, J. Bacteriol., 189, 7361, 10.1128/JB.00706-07 Hoiczyk, 2000, Gliding motility in cyanobacteria: observations and possible explanations, Arch. Microbiol., 174, 11, 10.1007/s002030000187 Ridgway, 1988, Characterization of gliding motility in Flexibacter polymorphus, Cell Motil. Cytoskeleton, 11, 46, 10.1002/cm.970110106 Burchard, 1977, Intracellular, periodic structures in the gliding bacterium Myxococcus Xanthus, J. Bacteriol., 132, 666, 10.1128/JB.132.2.666-672.1977 Dickson, 1980, Does gliding motility depend on undulating membranes?, Micron, 11, 381 O'Brien, 1981, The gliding motion of a bacterium, Flexibactor strain BH 3, J. Aust. Math. Soc. (Series B), 23, 2, 10.1017/S0334270000000035 Lapidus, 1982, Gliding motility of Cytophaga sp.strain U67, J. Bacteriol., 151, 384, 10.1128/JB.151.1.384-398.1982 Siddiqui, 2001, An undulating surface model for the motility of bacteria gliding on a layer of non-Newtonian slime, Int. J. Non-Linear Mech., 36, 743, 10.1016/S0020-7462(00)00028-7 Hayat, 2004, A mathematical model for the study of gliding motion of bacteria on a layer of non–Newtonian slime, Math. Methods Appl. Sci., 27, 1447, 10.1002/mma.516 Wang, 2005, Gliding motion of bacteria on a power–law slime, Math. Methods Appl. Sci., 28, 329, 10.1002/mma.571 Mahomed, 2007, Gliding motion of bacterium in a non-Newtonian slime, Nonlinear Anal., 8, 853, 10.1016/j.nonrwa.2006.03.009 Ali, 2016, Bacterial gliding fluid dynamics on a layer of non-Newtonian slime: perturbation and numerical study, J. Theor. Biol., 397, 22, 10.1016/j.jtbi.2016.02.011 Oliveira, 2009, Alternative derivation of differential constitutive equations of the Oldroyd-B type, J. Non-Newtonian Fluid Mech., 160, 40, 10.1016/j.jnnfm.2008.11.013 Oliveira, 2004, The Graetz problem with viscous dissipation for FENE-P fluids, J. Non-Newtonian Fluid Mech., 121, 69, 10.1016/j.jnnfm.2004.04.005 Ali, 2015, Theoretical analysis of the exiting thickness of sheets in the calendering of FENE-P fluid, J. Non-Newtonian Fluid Mech., 225, 28, 10.1016/j.jnnfm.2015.09.005 Ali, 2016, Effects of temperature-dependent properties on wire coating from a bath of FENE-P fluid, Int. J. Heat Mass Transfer, 103, 401, 10.1016/j.ijheatmasstransfer.2016.07.072 Javed, 2015, Wire-coating by withdrawal from a bath of Phan-Thien-Tanner fluid, Can. J. Chem. Eng., 93, 2070, 10.1002/cjce.22291 Pinho, 2000, Analysis of forced convection in pipes and channels with the simplified Phan-Thien–Tanner fluid, Int. J. Heat Mass Transfer, 43, 2273, 10.1016/S0017-9310(99)00303-8 Cruz, 2012, Analysis of isothermal flow of a Phan-Thien—Tanner fluid in a simplified model of a single-screw extruder, J. non-Newtonian Fluid Mech., 167–168, 95, 10.1016/j.jnnfm.2011.10.007 Naduvinamani, 2012, Squeeze film lubrication between circular stepped plates: Rabinowitsch fluid model, Tribol. Int., 73, 78, 10.1016/j.triboint.2014.01.004 Singh, 2014, Analysis of peristaltic flow in a tube: Rabinowitsch fluid model, Int. J. Fluids Eng., 6, 1 Alouges, 2008, Optimal strokes of low Reynolds number swimmers: an example, J. Nonlinear Sci., 18, 277, 10.1007/s00332-007-9013-7 Alouges, 2009, Optimal strokes of axisymmetric micro swimmers, Eur. Phys. J. E, 28, 279, 10.1140/epje/i2008-10406-4 Dal Maso, 2011, An existence and uniqueness result for the self-propelled motion of micro-swimmers, SIAM J. Math. Anal., 43, 1345, 10.1137/10080083X Guasto, 2012, Fluid mechanics of planktonic micro-organisms, Ann. Rev. Fluid Mech., 44, 373, 10.1146/annurev-fluid-120710-101156 Rusconi, 2014, Bacterial transport is suppressed by fluid shear, Nat. Phys., 10, 212, 10.1038/nphys2883 Riley, 2015, Small-amplitude swimmers can self-propel faster in viscoelastic fluids, J. Theor. Biol., 382, 345, 10.1016/j.jtbi.2015.06.045 Lauga, 2016, Bacterial hydrodynamics, Annu. Rev. Fluid Mech., 48, 105, 10.1146/annurev-fluid-122414-034606 Chan, 2005, Building a better snail: lubrication and adhesive locomotion, Phys. Fluids, 17, 10.1063/1.2102927