Martin Clausen, Michael Koomey, Berenike Maier  Biophysical Journal 

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Dynamics of Type IV Pili Is Controlled by Switching Between Multiple States  Martin Clausen, Michael Koomey, Berenike Maier  Biophysical Journal  Volume 96, Issue 3, Pages 1169-1177 (February 2009) DOI: 10.1016/j.bpj.2008.10.017 Copyright © 2009 Biophysical Society Terms and Conditions

Figure 1 Experimental setup. (a) Sketch of the setup. A bacterium was immobilized on a polystyrene-coated cover glass. When a pilus was bound to the bead in the laser trap and retracted, the bead was displaced by a distance d from the center of the trap. At a predefined distance d corresponding to a force F, a feedback was triggered that moved the piezo table to keep d constant. (b) Typical length change x of a single pilus of MS11pilT ind as a function of time at 60 pN; (c and d) MS11pilT oe at 100 pN. The curves b to d were broken down into retraction intervals (black), elongation intervals (green), and pauses (red). Biophysical Journal 2009 96, 1169-1177DOI: (10.1016/j.bpj.2008.10.017) Copyright © 2009 Biophysical Society Terms and Conditions

Figure 2 Pairwise displacements of pilus retraction. This example shows the normalized probability p of pairwise displacements Δx from a pilus retraction event of MS11pilT oe at 100 pN with an average velocity of 251 nm/s (solid line) and a test in which the microscope stage moved a stuck bead on a cover glass with a velocity of 283 nm/s (dotted line). Biophysical Journal 2009 96, 1169-1177DOI: (10.1016/j.bpj.2008.10.017) Copyright © 2009 Biophysical Society Terms and Conditions

Figure 3 Randomness parameter r normalized to step size: (gray) MS11; (white) MS11pilT ind; and (black) MS11pilT oe. Error bars represent SD. Biophysical Journal 2009 96, 1169-1177DOI: (10.1016/j.bpj.2008.10.017) Copyright © 2009 Biophysical Society Terms and Conditions

Figure 4 External force enhances the probability for pilus elongation. (a) Length change of a single pilus at 15 and (b) at 100 pN. Negative length change corresponds to pilus retraction. (c–e) Probability for pilus elongation (white), pausing (gray), and pilus retraction (black) for (c) MS11, (d) MS11pilT oe (increased PilT), and (e) MS11pilT ind (decreased PilT). The corresponding data set contains 465 retraction curves. Error bars represent SD obtained from statistical resampling. Biophysical Journal 2009 96, 1169-1177DOI: (10.1016/j.bpj.2008.10.017) Copyright © 2009 Biophysical Society Terms and Conditions

Figure 5 Different timescales of pilus elongation and retraction intervals. (a) Cumulative histogram of pilus retraction intervals (MS11pilT ind, 60 pN; circles). (dashed line) Best fit to a single exponential function and (solid line) best fit to a double exponential function with τret1 = 9 ± 1 ms, τret2 = 118 ± 2 ms. (b) Cumulative histogram of pilus elongation intervals (MS11pilT ind, 60 pN; circles). (dashed line) Best fit to a single exponential function and (solid line) best fit to a double exponential function with τext1 = 11.5 ± 0.5 ms, τext2 = 134 ± 3 ms. (c) Pilus retraction intervals obtained from the double exponential fit of cumulative histogram (MS11pilT ind) of pilus retraction intervals. (d) Pilus elongation intervals obtained from the double exponential fit of cumulative histogram of pilus elongation intervals. Biophysical Journal 2009 96, 1169-1177DOI: (10.1016/j.bpj.2008.10.017) Copyright © 2009 Biophysical Society Terms and Conditions

Figure 6 Velocity of pilus retraction is bimodal. (a) Histogram of retraction velocities at varying force (MS11) of in total 149 events from 29 bacteria (b) Histogram of retraction speeds at varying PilT concentrations at 30 pN. (c) Average velocity of the low velocity mode: (gray) MS11 and (black) MS11pilT oe. (d) Average velocity of the high velocity mode: (gray) MS11 and (black) MS11pilT oe. Biophysical Journal 2009 96, 1169-1177DOI: (10.1016/j.bpj.2008.10.017) Copyright © 2009 Biophysical Society Terms and Conditions

Figure 7 Velocity switching events during a single pilus retraction event. (a) Example of length change of the pilus of a MS11pilT oe bacterium at 100 pN over time with distinct velocities modes. (b) Corresponding histogram of the retraction speed of a. Biophysical Journal 2009 96, 1169-1177DOI: (10.1016/j.bpj.2008.10.017) Copyright © 2009 Biophysical Society Terms and Conditions

Figure 8 Hypothetical kinetic model describing the experimental data. Switching between different energy landscapes may explain different velocity modes and different timescales of switching. (a) Free energy of depolymerized state is energetically lower than polymerized state. Thus, the retraction rate k− is higher than the elongation rate k+. (b) With increasing external force, the free energy of the polymerized state decreases compared to the depolymerized state. The switching rate k between the landscapes depends on force. (c) The high velocity mode may be described by an energy landscape in which the free energy difference between polymerized and the depolymerized states increases compared to a. Biophysical Journal 2009 96, 1169-1177DOI: (10.1016/j.bpj.2008.10.017) Copyright © 2009 Biophysical Society Terms and Conditions