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Applied and Environmental Microbiology, April 2005, p. 2175-2178, Vol. 71, No. 4
0099-2240/05/$08.00+0 doi:10.1128/AEM.71.4.2175-2178.2005
Copyright © 2005, American Society for Microbiology. All Rights Reserved.
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Center for Biofilm Engineering,1 Department of Mechanical and Industrial Engineering,2 Department of Microbiology, Montana State University, Bozeman, Montana,3 Center for Genomic Sciences, Allegheny-Singer Research Institute, Pittsburgh, Pennsylvania4
Received 10 May 2004/ Accepted 5 November 2004
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w) (at the center line of the flow cell) was 0.125 Pa. The flow rate, and thus the wall shear stress, was controlled with a peristaltic pump. Hydrodynamic parameters were calculated from the flow rate and reactor dimensions as described elsewhere (15). Measurements were made after a 3-day growth period from three independent experiments.
Estimates of the structural responses of the biofilms to rapid fluctuations in
w and of the shear modulus of elasticity (G) were made from stress-strain curves by measuring the deformations of individual microcolonies caused by increasing and decreasing
w (approximately 5 s for each increment) with the equation G =
w/
, where
is the shear angle (defined here as the change in the angle between the upstream edge of the microcolony and the substratum) in response to a change in
w (Fig. 1) (15, 16). When
w was increased from 0 to 1.8 Pa, the microcolonies stretched downstream and flattened out (Fig. 1A and B). When the shear was removed, the microcolonies returned to approximations of their original shapes. The stress-strain curves (Fig. 1C) were "J" shaped and had a hysteresis loop, which is characteristic of curves for connective and other soft biological tissues (5). Such hysteresis indicates that viscous flow had occurred. G ranged from 0.9 to 5 Pa, which was comparable to values found for other biofilms (14, 18) and was also similar to the values found from the creep experiments, which measured the structural responses of the biofilms to sustained changes in shear stress and allowed quantification of viscous as well as elastic parameters. In these tests, the deformation of individual biofilm microcolonies was measured for 300 s during, and 300 s after, exposure to a
w of either 0.46 or 1.125 Pa (flow rates, 3.6 and 9 ml min1, respectively). The change in length of the biofilm cluster per original length exhibited by the microcolony was recorded at 5-s intervals throughout the test. Creep curves (Fig. 1D) were constructed from these data to calculate G and viscosity (
) as described elsewhere (15). After immediate elastic deformations, the biofilm microcolonies continued to stretch (creep). Upon stress removal, some of the deformation was recovered immediately through elastic contraction. Further contraction through creep recovery occurred over the remaining 5 min of the test; however, a significant residual deformation remained. The curves yielded a G of 4.9 ± 3.7 Pa and an
of 3,500 ± 2,900 Pa/s.
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FIG. 1. Side views of an S. aureus biofilm microcolony with no fluid shear (A) and after exposure to a fluid shear stress of 1.6 Pa (B). Deformation was quantified by measuring changes in the shear angle . The black arrow shows the flow direction. Scale bar = 50 µm. (C) Representative stress-strain curve of an S. aureus biofilm microcolony exhibiting a characteristic "J" shape, indicating that the biofilm became stiffer as the fluid stress increased. The filled arrow indicates the loading portion of the curve, and the open arrow indicates the unloading portion. The hysteresis loop revealed that, during the test, mechanical energy was dissipated in the biofilm through viscoelasticity. The solid line is the trend line. (D) Creep curve of an S. aureus biofilm microcolony. The shear stress was increased from 0 to 0.46 Pa at 0 s and then reduced back to 0 Pa at 300 s. The characteristic viscoelastic curve can be split into five sections: (a) instantaneous elastic response, (b) transient viscoelastic response, (c) viscous flow, (d) instantaneous elastic recoil, and (e) residual strain caused by nonrecoverable viscous flow.
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vary considerably among gram-positive, gram-negative, and mixed-species biofilms, the qualitative viscoelastic responses are consistent (14, 15, 16, 18). This finding suggests that viscoelasticity may be a general mechanism of biofilm adaptation to fluctuating shear stresses. Short-term exposure to elevated shear can be absorbed elastically, while the redistribution of internal physical stresses caused by sustained exposure can be dissipated through viscous flow, reducing the likelihood of structural failure and uncontrolled detachment. Remarkably, these viscoelastic properties of biofilms can also be influenced by growth at different flow rates, suggesting that a phenotypic adaptation can occur over longer time periods (16). Pseudomonas aeruginosa biofilms grown under high flow rates, for example, showed stronger cohesiveness than those grown under low shear, resulting in reduced embolization rates in response to higher flow (16). Time-lapse microscopy showed bacterial microcolonies rolling under steady shear along the sidewalls of the glass capillary (Fig. 2; for online imaging, see www.erc.montana.edu/Res-Lib99-SW/Movies/2003/03-M003_4.htm). The rolling motion was modeled to that of a cycloid curve (Fig. 2C), which traces the trajectory of a point on the perimeter of a rolling circle. The measured data sets fitted the predicted data with an R2 of 0.971. The mean downstream velocities of three monitored microcolonies were 19, 25, and 55 µm h1 and were linearly proportional to the diameters of the microcolonies (65, 78, and 156 µm, respectively), with an R2 of 0.999. This finding is consistent with a predicted linear relationship (R2 = 0.998) between spheres with these diameters and the theoretical drag force (6.2 x 1010, 8.8 x 1010, and 32.3 x 1010 N, respectively) based on the simplified assumption of a Stokes Law settling velocity relationship. For our calculations we used the flow velocity at the midline of the microcolonies predicted from the laminar velocity profile. For further details concerning these hydrodynamics, refer to reference 5. The rolling microcolonies were attached to the underlying biofilm layer or the glass surface by "tethers," which were detected by the individual cocci associated with them. The tethers, which measured up to a few micrometers in diameter, initially formed at the leading edge of the microcolony and were gradually stretched to lengths of between 70 and 180 µm over periods of 1 to 3.5 h before finally breaking, allowing a jerky forward motion (Fig. 2). The total bond life, as measured from the time of initial contact to breaking, was 5.6 ± 0.8 h. From the ratio of viscosity to elasticity, we derived a relaxation time (5) of approximately 12 min. Simply put, with times of less than 12 min, the biofilm will behave like a solid, but over longer times, it will behave like a fluid. These facts may help explain how the tethers control the rolling motion. Over short periods, the tethers can absorb shear variations elastically by deformation, but over longer periods, they will flow and eventually break, allowing the forward rolling motion.
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FIG. 2. Shear-mediated rolling migration of an S. aureus microcolony in a 5-day-old biofilm attached to the side wall of a glass flow cell lumen at intervals of 0 (A), 6 (B), and 11.5 (C) h. The rolling appeared to be controlled by tethers of biofilm material which formed at the downstream edge (black arrowheads). The tethers became progressively more stretched (an intermediate tether is shown between the gray arrowheads) before breaking (a tether just prior to breaking is shown between the white arrowheads). (C) The trajectory was found by tracking the x and y coordinates of three fiducial points (open symbols) from the original position (indicated by dashed line) at 15-min intervals. The solid black line is a cycloid curve with a radius equivalent to that of the microcolony and with an angular velocity of 8 x 105 rad s1 fitted to the data (open diamonds) with an R2 value of 0.971. Scale bar = 50 µm.
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We thank S. Wilson from the Center for Biofilm Engineering for experimental assistance.
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