1 00:00:00,500 --> 00:00:03,270 The following content is provided under a Creative 2 00:00:03,270 --> 00:00:04,630 Commons license. 3 00:00:04,630 --> 00:00:07,140 Your support will help MIT OpenCourseWare 4 00:00:07,140 --> 00:00:11,470 continue to offer high quality educational resources for free. 5 00:00:11,470 --> 00:00:14,100 To make a donation or view additional materials 6 00:00:14,100 --> 00:00:18,050 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:18,050 --> 00:00:19,000 at ocw.mit.edu. 8 00:00:24,121 --> 00:00:25,110 REUBEN: I'm Reuben. 9 00:00:25,110 --> 00:00:28,070 I am currently a senior in Chemistry. 10 00:00:28,070 --> 00:00:31,820 And I am a UROP in Bob Sauer's lab 11 00:00:31,820 --> 00:00:34,520 over in the Department of Biology. 12 00:00:34,520 --> 00:00:36,116 As you guys know from this class, 13 00:00:36,116 --> 00:00:37,490 one of the modules that you cover 14 00:00:37,490 --> 00:00:42,920 is ClpXP, the bacterial analog of the proteasome. 15 00:00:42,920 --> 00:00:46,970 And today I hope to tell you about some of the cool work 16 00:00:46,970 --> 00:00:50,060 using modern biophysical techniques that people 17 00:00:50,060 --> 00:00:54,260 in Bob's lab have done to gain some really, in my opinion, 18 00:00:54,260 --> 00:00:59,060 interesting insight into the actual mechanical mechanism 19 00:00:59,060 --> 00:01:03,230 of this motor protein ClpXP as it unfolds and degrades 20 00:01:03,230 --> 00:01:05,060 protein substrates. 21 00:01:05,060 --> 00:01:07,500 Before I get started, I want to say, 22 00:01:07,500 --> 00:01:10,400 please stop me at any time to ask questions. 23 00:01:10,400 --> 00:01:14,420 If I say something that doesn't make sense, please let me 24 00:01:14,420 --> 00:01:17,090 know, and I will try to clarify. 25 00:01:17,090 --> 00:01:19,550 So today I'm mostly going to be talking 26 00:01:19,550 --> 00:01:25,670 about modern single molecule methods, which are the cutting 27 00:01:25,670 --> 00:01:27,010 edge in biophysics. 28 00:01:27,010 --> 00:01:29,150 And so the first question I wanted to ask you 29 00:01:29,150 --> 00:01:32,060 guys is, what are the possible advantages 30 00:01:32,060 --> 00:01:34,730 of looking at molecules one at a time 31 00:01:34,730 --> 00:01:38,800 rather than performing some sort of bulk assay? 32 00:01:38,800 --> 00:01:42,740 Do any of you have any ideas? 33 00:01:42,740 --> 00:01:45,500 AUDIENCE: Maybe the average of a bunch of different molecules 34 00:01:45,500 --> 00:01:47,990 isn't truly representative of what 35 00:01:47,990 --> 00:01:50,399 a single molecule looks like. 36 00:01:50,399 --> 00:01:50,940 REUBEN: Yeah. 37 00:01:50,940 --> 00:01:53,790 So the average is the average. 38 00:01:53,790 --> 00:01:56,750 But the average as a statistic has some sort of weakness. 39 00:01:56,750 --> 00:02:00,950 It obscures a lot of the vagaries of behavior 40 00:02:00,950 --> 00:02:04,780 that may be lost in that average. 41 00:02:04,780 --> 00:02:08,889 So it's worth saying that in classical biochemistry 42 00:02:08,889 --> 00:02:12,110 you are looking at a lot of molecules simultaneously. 43 00:02:12,110 --> 00:02:15,680 In one microliter of one micromolar solution, 44 00:02:15,680 --> 00:02:18,730 that's 6 times 10 to the 11th molecules. 45 00:02:18,730 --> 00:02:24,620 So taking some sort of bulk measurement averages 46 00:02:24,620 --> 00:02:26,750 across all of these molecules. 47 00:02:26,750 --> 00:02:29,630 And as you said, you can lose a great deal of information 48 00:02:29,630 --> 00:02:34,350 about the variation and the dynamics of these molecules. 49 00:02:34,350 --> 00:02:37,970 So another thing that you can lose, in addition 50 00:02:37,970 --> 00:02:40,640 to information about variation, is 51 00:02:40,640 --> 00:02:42,920 you can lose information about the procession 52 00:02:42,920 --> 00:02:46,440 through some sort of complicated biological process. 53 00:02:46,440 --> 00:02:50,240 So let's say that you are studying ClpXP 54 00:02:50,240 --> 00:02:54,620 as it recognizes, unfolds, and degrades protein substrates. 55 00:02:54,620 --> 00:02:56,510 If you were looking at, for example, 56 00:02:56,510 --> 00:02:59,090 6 times 10 to the 11th molecules of ClpXP 57 00:02:59,090 --> 00:03:01,190 sitting in a test tube, then you're 58 00:03:01,190 --> 00:03:05,000 smearing across all of these different time points of ClpXP, 59 00:03:05,000 --> 00:03:07,730 where you have some ClpXPs that are unfolding substrates, 60 00:03:07,730 --> 00:03:09,590 some ClpXPs that are not bound to substrate 61 00:03:09,590 --> 00:03:12,740 at all, some ClpXPs that are translocating substrate. 62 00:03:12,740 --> 00:03:15,570 So any sort of readout that you have 63 00:03:15,570 --> 00:03:19,550 loses this information about the different states that ClpXP can 64 00:03:19,550 --> 00:03:20,360 inhabit. 65 00:03:20,360 --> 00:03:22,760 And also, it's very difficult to gain 66 00:03:22,760 --> 00:03:26,070 detailed kinetic information about how ClpXP would, 67 00:03:26,070 --> 00:03:29,360 for example, transit between these different states 68 00:03:29,360 --> 00:03:33,810 if all you can see is a bulk average. 69 00:03:33,810 --> 00:03:36,870 So another way of putting this is 70 00:03:36,870 --> 00:03:39,540 that a bulk measurement like fluorescence, you're 71 00:03:39,540 --> 00:03:43,050 looking at the unsynchronized activity of these molecules. 72 00:03:43,050 --> 00:03:45,580 But by studying single molecules at a time, 73 00:03:45,580 --> 00:03:48,240 you can do some sort of post hoc synchronization 74 00:03:48,240 --> 00:03:53,250 to actually gain insight into the kinetics, or the order 75 00:03:53,250 --> 00:03:55,620 of the different states during some sort 76 00:03:55,620 --> 00:03:57,903 of biophysical process. 77 00:03:57,903 --> 00:04:00,236 JOANNE STUBBE: You can do better than that, even in bulk 78 00:04:00,236 --> 00:04:01,930 you can synchronize, right? 79 00:04:01,930 --> 00:04:02,610 REUBEN: Yeah. 80 00:04:02,610 --> 00:04:05,259 So there are certainly tools like stopped-flow. 81 00:04:05,259 --> 00:04:06,842 JOANNE STUBBE: Which is what we talked 82 00:04:06,842 --> 00:04:08,646 about in the first couple of recitations. 83 00:04:08,646 --> 00:04:09,548 That's why I brought it up. 84 00:04:09,548 --> 00:04:10,089 REUBEN: Yeah. 85 00:04:10,089 --> 00:04:12,110 So stopped-flow is a fantastic tool, 86 00:04:12,110 --> 00:04:14,210 which has been used really successfully 87 00:04:14,210 --> 00:04:17,050 to study a lot of systems, particularly, I think, 88 00:04:17,050 --> 00:04:19,479 the Rodnina lab, which I think you guys covered, 89 00:04:19,479 --> 00:04:21,200 used stopped-flow very effectively 90 00:04:21,200 --> 00:04:24,630 to study the early stages of translation. 91 00:04:24,630 --> 00:04:28,220 But I think that stopped-flow is good for looking 92 00:04:28,220 --> 00:04:30,310 at some early stages of processes, 93 00:04:30,310 --> 00:04:33,440 but for trying to track a long, complicated process 94 00:04:33,440 --> 00:04:35,870 across a significant period of time, 95 00:04:35,870 --> 00:04:38,510 stopped-flow is not really an ideal technique. 96 00:04:38,510 --> 00:04:42,110 Because what happens is that the rates of transitions 97 00:04:42,110 --> 00:04:44,500 between different processes-- 98 00:04:44,500 --> 00:04:47,270 let's say that there is a single rate constant. 99 00:04:47,270 --> 00:04:49,250 The actual time that an individual molecule 100 00:04:49,250 --> 00:04:51,910 spends in a state before switching to the next state 101 00:04:51,910 --> 00:04:53,000 is stochastic. 102 00:04:53,000 --> 00:04:54,470 It's an exponential decay process 103 00:04:54,470 --> 00:04:55,920 based on the rate constant. 104 00:04:55,920 --> 00:05:00,140 So if you are looking at a bunch of rates all put together, 105 00:05:00,140 --> 00:05:02,360 and you start a stopped-flow experiment, 106 00:05:02,360 --> 00:05:04,970 it's true that for the first couple of seconds 107 00:05:04,970 --> 00:05:06,590 all of the molecules are synchronized. 108 00:05:06,590 --> 00:05:08,089 But over the rest of the experiment, 109 00:05:08,089 --> 00:05:10,737 they blur out all the way across the time space. 110 00:05:10,737 --> 00:05:13,070 And so you can really lose a lot of detailed information 111 00:05:13,070 --> 00:05:14,187 about the kinetics. 112 00:05:14,187 --> 00:05:15,770 Whereas if you're looking at molecules 113 00:05:15,770 --> 00:05:19,255 one molecule at a time, you can track an entire process. 114 00:05:19,255 --> 00:05:21,296 JOANNE STUBBE: But again, the issue where you can 115 00:05:21,296 --> 00:05:22,740 only look at them in one way-- 116 00:05:22,740 --> 00:05:23,435 REUBEN: Oh, absolutely. 117 00:05:23,435 --> 00:05:23,720 JOANNE STUBBE: --ways. 118 00:05:23,720 --> 00:05:25,670 And so, if you don't know anything 119 00:05:25,670 --> 00:05:27,146 about the bulk system-- 120 00:05:27,146 --> 00:05:30,590 I hate it when people are touting single-molecule, 121 00:05:30,590 --> 00:05:33,145 which I think is very powerful, but the fact 122 00:05:33,145 --> 00:05:35,144 is that you have many ways to look 123 00:05:35,144 --> 00:05:38,000 at reactions that can't be carried over 124 00:05:38,000 --> 00:05:39,428 into the single-molecule venue. 125 00:05:39,428 --> 00:05:41,190 So that's the caveat. 126 00:05:41,190 --> 00:05:42,550 REUBEN: I completely agree. 127 00:05:42,550 --> 00:05:44,966 I was actually just about to, after I finished this slide, 128 00:05:44,966 --> 00:05:47,270 ask what were the disadvantages of single-molecule. 129 00:05:47,270 --> 00:05:48,561 JOANNE STUBBE: All right, sure. 130 00:05:48,561 --> 00:05:50,302 REUBEN: And you raise a very good point. 131 00:05:50,302 --> 00:05:53,420 No, I always appreciate comments from the audience-- 132 00:05:53,420 --> 00:05:54,180 [LAUGHTER] 133 00:05:54,180 --> 00:05:56,040 --and from the faculty in the audience. 134 00:06:00,360 --> 00:06:01,204 I don't know. 135 00:06:01,204 --> 00:06:03,120 It's true that there are some measurements you 136 00:06:03,120 --> 00:06:04,630 can't make in single-molecule. 137 00:06:04,630 --> 00:06:06,796 But it's also true that there are some measurements, 138 00:06:06,796 --> 00:06:08,630 such as the measurements in this paper, 139 00:06:08,630 --> 00:06:10,420 that you can't make in bulk. 140 00:06:10,420 --> 00:06:13,810 So you can measure some unique properties of molecules-- 141 00:06:13,810 --> 00:06:17,140 particularly molecular machines such as force generation 142 00:06:17,140 --> 00:06:18,810 and processive motion-- 143 00:06:18,810 --> 00:06:21,360 using measurement techniques such as the optical tweezers, 144 00:06:21,360 --> 00:06:24,510 which I'm going to talk about a lot in this lecture, 145 00:06:24,510 --> 00:06:29,370 that there's no bulk analog of a measurement like this. 146 00:06:29,370 --> 00:06:34,546 So JoAnne mentioned a couple of the possible disadvantages 147 00:06:34,546 --> 00:06:35,670 of single-molecule studies. 148 00:06:35,670 --> 00:06:37,086 Do any of you have any other ideas 149 00:06:37,086 --> 00:06:40,650 of potential disadvantages that might make sure that you want 150 00:06:40,650 --> 00:06:42,940 to do some bulk experiments? 151 00:06:45,880 --> 00:06:49,650 So the really big one is that single molecules, there aren't 152 00:06:49,650 --> 00:06:51,469 great ways to look at them. 153 00:06:51,469 --> 00:06:53,010 There's single-molecule fluorescence, 154 00:06:53,010 --> 00:06:54,420 there's optical tweezers. 155 00:06:54,420 --> 00:06:57,330 After that, you know, I'm not really sure what else there is. 156 00:06:57,330 --> 00:07:01,380 And both of these techniques study from a significant noise 157 00:07:01,380 --> 00:07:02,010 issue. 158 00:07:02,010 --> 00:07:04,620 You can really only look at one thing at a time. 159 00:07:04,620 --> 00:07:07,320 And a single fluorophore, for example, 160 00:07:07,320 --> 00:07:09,080 in a single-molecule fluorescence study, 161 00:07:09,080 --> 00:07:10,560 is not very bright. 162 00:07:10,560 --> 00:07:13,660 You have enormous noise coming from your instrumentation. 163 00:07:13,660 --> 00:07:17,190 And it can be very difficult to tangle out the signal 164 00:07:17,190 --> 00:07:20,850 that you're trying to go after from your noise. 165 00:07:20,850 --> 00:07:23,880 Another major issue is that many of these experiments 166 00:07:23,880 --> 00:07:25,574 are actually very difficult to run, 167 00:07:25,574 --> 00:07:27,990 and it can take, for example, months and months and months 168 00:07:27,990 --> 00:07:29,940 to do single-molecule experiments, which, 169 00:07:29,940 --> 00:07:32,550 you know, a bulk protein degradation experiment, you 170 00:07:32,550 --> 00:07:34,110 can mix some proteins and run a gel, 171 00:07:34,110 --> 00:07:36,193 and actually learn a great deal about the behavior 172 00:07:36,193 --> 00:07:38,060 of the proteins. 173 00:07:38,060 --> 00:07:40,590 But all the same, there are some measurements, 174 00:07:40,590 --> 00:07:42,540 such as the measurements in this paper, 175 00:07:42,540 --> 00:07:45,690 that you cannot take without single-molecule measurements. 176 00:07:45,690 --> 00:07:49,350 So I hope that today I will be able to tell you 177 00:07:49,350 --> 00:07:52,200 about some modern biophysical techniques, particularly 178 00:07:52,200 --> 00:07:55,050 optical tweezers, so that you can all learn about some 179 00:07:55,050 --> 00:07:58,990 of the latest tools in the biophysicist's toolkit. 180 00:07:58,990 --> 00:08:01,311 So I am going to talk about optical tweezers today, 181 00:08:01,311 --> 00:08:02,810 but I did want to mention that there 182 00:08:02,810 --> 00:08:05,190 is another single-molecule method, 183 00:08:05,190 --> 00:08:06,930 single-molecule fluorescence. 184 00:08:06,930 --> 00:08:09,330 And this is actually what I do in my experiments. 185 00:08:09,330 --> 00:08:11,160 That's also very useful for looking 186 00:08:11,160 --> 00:08:14,700 at the dynamical properties of complicated biological 187 00:08:14,700 --> 00:08:16,330 processes. 188 00:08:16,330 --> 00:08:19,980 So single-molecule fluorescence basically 189 00:08:19,980 --> 00:08:21,450 involves tracking the fluorescence 190 00:08:21,450 --> 00:08:23,790 of single fluorophores over time, 191 00:08:23,790 --> 00:08:25,634 and quantitating it, and then studying 192 00:08:25,634 --> 00:08:28,050 the dynamics of the switching between the different states 193 00:08:28,050 --> 00:08:29,550 of the fluorophore. 194 00:08:29,550 --> 00:08:31,860 Almost all of these experiments use 195 00:08:31,860 --> 00:08:35,030 a physical property called FRET, which 196 00:08:35,030 --> 00:08:38,789 is energy transfer between two nearby fluorophores, 197 00:08:38,789 --> 00:08:41,133 the efficiency of which is distance dependent. 198 00:08:41,133 --> 00:08:43,049 I believe that you guys have learned about it. 199 00:08:43,049 --> 00:08:44,910 It's not that difficult to understand 200 00:08:44,910 --> 00:08:47,790 how you could go from doing FRET in bulk 201 00:08:47,790 --> 00:08:49,432 to FRET in single-molecule. 202 00:08:49,432 --> 00:08:51,390 If you haven't heard about FRET, I'm sure you-- 203 00:08:51,390 --> 00:08:52,890 JOANNE STUBBE: We'll hear it in the last recitation. 204 00:08:52,890 --> 00:08:54,420 REUBEN: I'm sure you will hear about it very soon. 205 00:08:54,420 --> 00:08:56,070 JOANNE STUBBE: [INAUDIBLE]. 206 00:08:56,070 --> 00:08:57,240 REUBEN: Yeah. 207 00:08:57,240 --> 00:09:00,350 So this is a very useful technique 208 00:09:00,350 --> 00:09:04,650 for answering some questions, but in some ways 209 00:09:04,650 --> 00:09:06,484 it's a little bit easier to understand 210 00:09:06,484 --> 00:09:07,400 than optical tweezers. 211 00:09:07,400 --> 00:09:09,441 So I figured I should talk about optical tweezers 212 00:09:09,441 --> 00:09:11,810 today, because I think it's also kind of cool that you 213 00:09:11,810 --> 00:09:15,790 can do the experiments that are in the paper today. 214 00:09:15,790 --> 00:09:21,360 So optical tweezers-- the main technique 215 00:09:21,360 --> 00:09:23,880 used in the Olivares and Sauer paper 216 00:09:23,880 --> 00:09:25,530 that I'm talking about today. 217 00:09:25,530 --> 00:09:27,660 And the general idea of optical tweezers 218 00:09:27,660 --> 00:09:30,000 is that you can use the momentum of light. 219 00:09:30,000 --> 00:09:32,790 Because as you guys know from quantum mechanics, 220 00:09:32,790 --> 00:09:38,370 light has momentum to trap certain types of particles 221 00:09:38,370 --> 00:09:41,820 within a beam of light and directly apply forces to them 222 00:09:41,820 --> 00:09:43,920 and directly make unique measurements 223 00:09:43,920 --> 00:09:48,930 about distance using this tool. 224 00:09:48,930 --> 00:09:53,220 So with optical tweezers, you can measure nanometer motions 225 00:09:53,220 --> 00:09:54,992 at sub-millisecond time resolution. 226 00:09:54,992 --> 00:09:56,450 And in a couple of slides I'm going 227 00:09:56,450 --> 00:09:58,030 to tell you how that works. 228 00:09:58,030 --> 00:10:00,620 And you can also directly apply force 229 00:10:00,620 --> 00:10:03,690 to probe mechanics and biochemistry. 230 00:10:03,690 --> 00:10:06,440 So you guys have probably all heard about optical tweezers, 231 00:10:06,440 --> 00:10:08,940 even if you haven't heard about them in the case of studying 232 00:10:08,940 --> 00:10:10,470 single molecules of protein. 233 00:10:10,470 --> 00:10:12,990 So this is a really cool video that I found. 234 00:10:12,990 --> 00:10:16,890 These are 12 beads, all trapped in their own optical trap. 235 00:10:16,890 --> 00:10:19,230 And some graduate student wrote a program 236 00:10:19,230 --> 00:10:21,450 to steer one of the beads around the other beads. 237 00:10:21,450 --> 00:10:24,150 So the system that we used in this experiment, that I'm 238 00:10:24,150 --> 00:10:26,100 going to tell you about today, is basically 239 00:10:26,100 --> 00:10:28,140 the same as this system, except you're not 240 00:10:28,140 --> 00:10:29,740 looking at 12 beads at a time. 241 00:10:29,740 --> 00:10:32,250 And each of the beads is conjugated to some sort 242 00:10:32,250 --> 00:10:34,690 of molecule of protein. 243 00:10:34,690 --> 00:10:39,900 So the general setup in single-molecule optical 244 00:10:39,900 --> 00:10:44,550 tweezers experiment in biophysics is to take a bead-- 245 00:10:44,550 --> 00:10:47,070 usually the bead is made of polystyrene, 246 00:10:47,070 --> 00:10:49,540 because it happens to have some nice properties-- 247 00:10:49,540 --> 00:10:53,160 and to conjugate onto it a single molecule of protein. 248 00:10:53,160 --> 00:10:55,110 In this case, they conjugated onto it 249 00:10:55,110 --> 00:10:58,003 a single molecule of kinesin, which is a motor protein. 250 00:10:58,003 --> 00:11:00,128 JOANNE STUBBE: [INAUDIBLE] like polystyrene shrinks 251 00:11:00,128 --> 00:11:03,020 and it traps that use polystyrene columns. 252 00:11:03,020 --> 00:11:04,960 Is that-- 253 00:11:04,960 --> 00:11:09,920 REUBEN: These beads are functionalized on the surface, 254 00:11:09,920 --> 00:11:12,280 and then covered with streptavidin, which I'll 255 00:11:12,280 --> 00:11:13,854 talk about in just a second. 256 00:11:13,854 --> 00:11:15,520 The beads don't really shrink very much, 257 00:11:15,520 --> 00:11:17,728 because you're not really putting them under pressure 258 00:11:17,728 --> 00:11:21,110 in any of these experiments. 259 00:11:21,110 --> 00:11:24,490 And so what they did in these experiments 260 00:11:24,490 --> 00:11:26,920 is that they took kinesin, and they put it 261 00:11:26,920 --> 00:11:28,390 on the surface of a bead. 262 00:11:28,390 --> 00:11:30,280 And then they took some microtubules, 263 00:11:30,280 --> 00:11:34,360 and they put their microtubules on the surface of a cover slip. 264 00:11:34,360 --> 00:11:36,850 And they brought the kinesin on the bead close 265 00:11:36,850 --> 00:11:40,300 to the microtubules on the cover slip, and they added ATP. 266 00:11:40,300 --> 00:11:45,610 And kinesin is a molecular motor which walks along microtubules. 267 00:11:45,610 --> 00:11:49,390 So what happened is that kinesin grabbed onto the microtubules, 268 00:11:49,390 --> 00:11:52,140 and it began to bind and hydrolyze ATP. 269 00:11:52,140 --> 00:11:54,040 And it began walking. 270 00:11:54,040 --> 00:11:56,620 And it dragged the bead with it as it 271 00:11:56,620 --> 00:11:58,390 walked along the microtubule. 272 00:11:58,390 --> 00:12:00,940 And with an optical trap, you can actually 273 00:12:00,940 --> 00:12:03,390 detect how far from the center of the trap 274 00:12:03,390 --> 00:12:06,700 a bead has been dragged with extremely high, less than one 275 00:12:06,700 --> 00:12:08,410 nanometer, precision. 276 00:12:08,410 --> 00:12:11,830 So they were able to tell that this kinesin was taking very 277 00:12:11,830 --> 00:12:15,160 discrete eight-nanometer steps as it walked 278 00:12:15,160 --> 00:12:17,620 along the microtubules, which could be related very 279 00:12:17,620 --> 00:12:20,950 effectively to the size of these tubulin domains 280 00:12:20,950 --> 00:12:24,620 that the kinesin was actually making contact with. 281 00:12:24,620 --> 00:12:27,550 So using this they could, for example, study the average time 282 00:12:27,550 --> 00:12:29,890 in between kinesin steps as a function 283 00:12:29,890 --> 00:12:31,780 of the concentration of ATP. 284 00:12:31,780 --> 00:12:34,420 And they could begin to ask some questions about how 285 00:12:34,420 --> 00:12:37,270 the binding and hydrolysis of ATP 286 00:12:37,270 --> 00:12:40,750 actually led to kinesin's processive mechanical motion. 287 00:12:40,750 --> 00:12:42,790 So before I tell you more about the biophysics, 288 00:12:42,790 --> 00:12:44,290 I just want to tell you a little bit 289 00:12:44,290 --> 00:12:45,790 about how optical traps work. 290 00:12:45,790 --> 00:12:48,700 Because I think that it's not particularly intuitive before 291 00:12:48,700 --> 00:12:49,630 you hear about it. 292 00:12:49,630 --> 00:12:51,440 Although, in the scheme of things, 293 00:12:51,440 --> 00:12:54,490 they're actually not that complicated. 294 00:12:54,490 --> 00:12:57,350 So I'm going to tell you three ways of thinking 295 00:12:57,350 --> 00:13:01,640 about optical tweezers, all of which are basically the same, 296 00:13:01,640 --> 00:13:03,860 but use different approach to look 297 00:13:03,860 --> 00:13:06,270 at the behavior of the system. 298 00:13:06,270 --> 00:13:10,250 So I'm just going to start by pretending that light is just 299 00:13:10,250 --> 00:13:12,050 a ray, not a wave, because that's 300 00:13:12,050 --> 00:13:13,880 a pretty good approximation in a lot 301 00:13:13,880 --> 00:13:16,270 of circumstances, including this one. 302 00:13:16,270 --> 00:13:18,590 So the way to think about optical tweezers 303 00:13:18,590 --> 00:13:22,010 is to imagine two rays of light, one coming 304 00:13:22,010 --> 00:13:25,230 from each side of a lens. 305 00:13:25,230 --> 00:13:27,350 And both of these rays, they have momentum, 306 00:13:27,350 --> 00:13:28,880 because they're light. 307 00:13:28,880 --> 00:13:31,220 And to think about these rays of light interacting 308 00:13:31,220 --> 00:13:35,330 with a dielectric particle such as a polystyrene bead, which 309 00:13:35,330 --> 00:13:38,030 has a higher index of refraction than the surrounding 310 00:13:38,030 --> 00:13:40,670 media, which is usually water. 311 00:13:40,670 --> 00:13:45,500 So what that means is that when the light hits the bead, 312 00:13:45,500 --> 00:13:47,150 the angle of the light will change. 313 00:13:47,150 --> 00:13:49,760 Basically the bead will deflect the light. 314 00:13:49,760 --> 00:13:54,470 And so what that means is that the bead is actually changing 315 00:13:54,470 --> 00:13:56,330 the momentum of the light. 316 00:13:56,330 --> 00:13:58,310 So what we know from Newton is that, 317 00:13:58,310 --> 00:14:00,850 if the bead is changing the momentum of the light, 318 00:14:00,850 --> 00:14:06,440 then the light must be exerting an equal and opposite force 319 00:14:06,440 --> 00:14:11,570 on the bead itself, opposing the momentum change of the light 320 00:14:11,570 --> 00:14:12,560 itself. 321 00:14:12,560 --> 00:14:16,640 So we can see here that this ray A coming from the left 322 00:14:16,640 --> 00:14:21,040 is being deflected up and to the right. 323 00:14:21,040 --> 00:14:24,080 And this ray B coming from the right 324 00:14:24,080 --> 00:14:27,870 is being deflected down and to the right. 325 00:14:27,870 --> 00:14:30,620 So we can think about the force on the bead 326 00:14:30,620 --> 00:14:32,870 from each of these rays being equal and opposite 327 00:14:32,870 --> 00:14:35,810 to the direction of the momentum change of these rays. 328 00:14:35,810 --> 00:14:39,170 And say that ray A is imparting a force 329 00:14:39,170 --> 00:14:42,310 on the bead which is pointing down and to the left, 330 00:14:42,310 --> 00:14:46,910 and ray B is imparting a force on the bead which 331 00:14:46,910 --> 00:14:49,430 is pointing up and to the left. 332 00:14:49,430 --> 00:14:52,550 So we can basically sum both of these forces 333 00:14:52,550 --> 00:14:55,310 and find that, in this system here, 334 00:14:55,310 --> 00:14:57,350 where the center of the bead is moved 335 00:14:57,350 --> 00:15:01,130 to the right of the true focus of these two rays of light, 336 00:15:01,130 --> 00:15:05,960 then the light is imposing a force on the bead which pushes 337 00:15:05,960 --> 00:15:07,620 it back toward the center. 338 00:15:07,620 --> 00:15:10,700 And it turns out that, whenever the center of the bead 339 00:15:10,700 --> 00:15:15,780 is not in the same spot as the center of the focused light, 340 00:15:15,780 --> 00:15:18,350 the light will impart a force on the bead, 341 00:15:18,350 --> 00:15:20,900 pushing it toward the direction of that center, 342 00:15:20,900 --> 00:15:24,412 no matter how you move it around within the trap. 343 00:15:24,412 --> 00:15:27,550 So do you all understand the ray approach 344 00:15:27,550 --> 00:15:30,006 to understanding how optical traps work? 345 00:15:30,006 --> 00:15:31,920 Cool. 346 00:15:31,920 --> 00:15:35,290 So I'm going to give a slightly more realistic picture. 347 00:15:35,290 --> 00:15:38,970 So as you guys know, light is not a ray. 348 00:15:38,970 --> 00:15:40,240 Light is a wave. 349 00:15:40,240 --> 00:15:43,860 And what that means is that you can't focus light 350 00:15:43,860 --> 00:15:46,380 into just a point. 351 00:15:46,380 --> 00:15:48,960 Instead, you can focus light into a small volume which 352 00:15:48,960 --> 00:15:52,440 is diffraction-limited in size to approximately a diameter 353 00:15:52,440 --> 00:15:55,140 of one-half the wavelength of the light, which is often 354 00:15:55,140 --> 00:15:57,430 called the confocal volume. 355 00:15:57,430 --> 00:16:01,440 So to think about the shape of the confocal volume, 356 00:16:01,440 --> 00:16:03,360 it's not quite a Gaussian, but it's 357 00:16:03,360 --> 00:16:04,574 very similar to a Gaussian. 358 00:16:04,574 --> 00:16:06,240 So it's useful to think about Gaussians, 359 00:16:06,240 --> 00:16:08,130 to say that, you know, it's easy to imagine 360 00:16:08,130 --> 00:16:11,130 a one-dimensional Gaussian or a two-dimensional Gaussian. 361 00:16:11,130 --> 00:16:15,000 At a confocal volume of light, what you actually 362 00:16:15,000 --> 00:16:17,760 have is a three-dimensional Gaussian in which 363 00:16:17,760 --> 00:16:20,980 each point in space has a scalar property, 364 00:16:20,980 --> 00:16:24,210 which is the intensity of the light at that point in space. 365 00:16:24,210 --> 00:16:27,770 And if you move from the center out in any direction, 366 00:16:27,770 --> 00:16:31,360 it basically decays according to this Gaussian curvature. 367 00:16:31,360 --> 00:16:33,990 So there's a gradient, a Gaussian-shaped gradient 368 00:16:33,990 --> 00:16:37,140 of light intensity going out in every direction 369 00:16:37,140 --> 00:16:39,539 from the center, if this is like the optical axis, 370 00:16:39,539 --> 00:16:41,080 and say this is like the x direction, 371 00:16:41,080 --> 00:16:42,659 and this is the y direction. 372 00:16:42,659 --> 00:16:44,700 I don't know if my laser printing is particularly 373 00:16:44,700 --> 00:16:47,760 helpful in this situation. 374 00:16:47,760 --> 00:16:49,800 So what you can think about is, say 375 00:16:49,800 --> 00:16:56,808 that from your beam of light in this Gaussian shape 376 00:16:56,808 --> 00:17:00,570 you have rays of different intensity. 377 00:17:00,570 --> 00:17:02,460 I've only shown two here, but try 378 00:17:02,460 --> 00:17:04,800 to imagine these rays coming from every part 379 00:17:04,800 --> 00:17:08,790 of this light beam, all being focused here so that rays 380 00:17:08,790 --> 00:17:10,470 from the center have a lot of intensity, 381 00:17:10,470 --> 00:17:11,800 therefore they have a lot of momentum. 382 00:17:11,800 --> 00:17:13,091 There's a lot of photons there. 383 00:17:13,091 --> 00:17:16,170 So they impart more force per deflection 384 00:17:16,170 --> 00:17:17,950 than rays coming over from the side. 385 00:17:17,950 --> 00:17:22,800 So if you imagine rays coming from this whole Gaussian volume 386 00:17:22,800 --> 00:17:25,230 here, then it's not too difficult to see 387 00:17:25,230 --> 00:17:27,972 that whenever you move the bead from the center, 388 00:17:27,972 --> 00:17:30,180 there's going to be a restoring force pushing it back 389 00:17:30,180 --> 00:17:32,480 to the center. 390 00:17:32,480 --> 00:17:35,070 And the last explanation for how optical traps work 391 00:17:35,070 --> 00:17:36,900 is my favorite, but it's a little bit more 392 00:17:36,900 --> 00:17:38,983 difficult to understand, even though it's actually 393 00:17:38,983 --> 00:17:40,840 classical rather than quantum. 394 00:17:40,840 --> 00:17:44,235 So what we know-- 395 00:17:44,235 --> 00:17:46,490 a dielectric particle such as a bead, 396 00:17:46,490 --> 00:17:48,900 what a dielectric actually is, a dielectric 397 00:17:48,900 --> 00:17:52,870 is a material which is polarized by an electric field. 398 00:17:52,870 --> 00:17:56,970 So polystyrene is polarized quite a lot 399 00:17:56,970 --> 00:17:58,350 by an electric field. 400 00:17:58,350 --> 00:18:01,410 And what that does is that, if you have an electric field, 401 00:18:01,410 --> 00:18:04,020 say, that has a negative charge here 402 00:18:04,020 --> 00:18:06,000 and a positive charge here, then the dielectric 403 00:18:06,000 --> 00:18:08,040 will be polarized in such a direction 404 00:18:08,040 --> 00:18:11,080 that it is opposing that electric field. 405 00:18:11,080 --> 00:18:13,140 And the electric field within the dielectric 406 00:18:13,140 --> 00:18:16,440 is lower than the electric field outside of the dielectric. 407 00:18:16,440 --> 00:18:19,770 And it turns out that, for very small particles, in this case 408 00:18:19,770 --> 00:18:21,630 particles that are actually smaller 409 00:18:21,630 --> 00:18:23,940 than the wavelength of light that we are actually 410 00:18:23,940 --> 00:18:26,580 using to trap it, you can approximate 411 00:18:26,580 --> 00:18:31,020 a dielectric material very well as just a simple dipole whose 412 00:18:31,020 --> 00:18:33,900 dipole moment is facing in the opposite direction 413 00:18:33,900 --> 00:18:37,260 of the electric field that it's actually sitting in. 414 00:18:37,260 --> 00:18:40,380 So think about what light actually is. 415 00:18:40,380 --> 00:18:42,840 Light is a rapidly oscillating electric field 416 00:18:42,840 --> 00:18:45,860 that also happens to have a magnetic component. 417 00:18:45,860 --> 00:18:51,870 So the particle that you're studying basically 418 00:18:51,870 --> 00:18:54,007 has a rapidly oscillating dipole, 419 00:18:54,007 --> 00:18:55,590 which is always opposing the direction 420 00:18:55,590 --> 00:18:57,030 of the magnetic field. 421 00:18:57,030 --> 00:19:03,210 And so we know that there is a cost in potential energy 422 00:19:03,210 --> 00:19:05,100 to separating two charges. 423 00:19:05,100 --> 00:19:07,530 And putting a dielectric material 424 00:19:07,530 --> 00:19:09,510 in between that charge separation 425 00:19:09,510 --> 00:19:15,190 decreases the potential cost of this charge separation. 426 00:19:15,190 --> 00:19:19,020 So if you have a gradient of electric fields, 427 00:19:19,020 --> 00:19:21,880 as you do at the center of a confocal volume, 428 00:19:21,880 --> 00:19:24,480 the dielectric will be most favorable 429 00:19:24,480 --> 00:19:26,850 if it is in the place where it is opposing the strongest 430 00:19:26,850 --> 00:19:27,810 electric field. 431 00:19:27,810 --> 00:19:29,550 And if you move it from the center, 432 00:19:29,550 --> 00:19:32,980 then it will oppose a weaker electric field. 433 00:19:32,980 --> 00:19:36,790 And we know that force is the gradient of potential. 434 00:19:36,790 --> 00:19:42,000 So the dielectric particle will feel a force driving it 435 00:19:42,000 --> 00:19:45,510 toward the strongest area of electric field, which 436 00:19:45,510 --> 00:19:49,110 takes place at the very center of the confocal volume. 437 00:19:49,110 --> 00:19:52,980 And so it will always be restored toward that spot. 438 00:19:52,980 --> 00:19:56,610 So this is kind of an intuitive explanation, 439 00:19:56,610 --> 00:19:58,481 but it takes a little bit of thinking about. 440 00:19:58,481 --> 00:20:00,230 If you have any more questions about this, 441 00:20:00,230 --> 00:20:05,580 I'm totally happy to answer them either now or after the talk. 442 00:20:05,580 --> 00:20:07,560 So do you all sort of feel like you understand 443 00:20:07,560 --> 00:20:11,020 how you can use light to trap a dielectric particle 444 00:20:11,020 --> 00:20:12,883 such as a polystyrene bead? 445 00:20:12,883 --> 00:20:15,258 AUDIENCE: What wavelength of light are you talking about? 446 00:20:15,258 --> 00:20:17,079 Like, is this monochromatic? 447 00:20:17,079 --> 00:20:17,620 REUBEN: Yeah. 448 00:20:17,620 --> 00:20:20,200 So in this case we're using monochromatic infrared light. 449 00:20:29,070 --> 00:20:31,880 The wavelength which is chosen for these studies, 450 00:20:31,880 --> 00:20:34,280 it turns out to not damage proteins very much 451 00:20:34,280 --> 00:20:35,909 compared to other wavelengths of light, 452 00:20:35,909 --> 00:20:37,700 and you're using it at very high intensity. 453 00:20:37,700 --> 00:20:40,074 And it's pretty easy to make very high intensity infrared 454 00:20:40,074 --> 00:20:42,240 lasers. 455 00:20:42,240 --> 00:20:45,350 But you could use, you know, the thing that really matters 456 00:20:45,350 --> 00:20:47,570 is what the index of refraction is at the wavelength 457 00:20:47,570 --> 00:20:48,940 that you're studying. 458 00:20:48,940 --> 00:20:51,312 So as long as you have a big difference, 459 00:20:51,312 --> 00:20:53,270 as long as you have a dielectric particle which 460 00:20:53,270 --> 00:20:56,060 has a higher index of refraction than the surrounding 461 00:20:56,060 --> 00:20:59,432 media at the wavelength that you're studying, then 462 00:20:59,432 --> 00:21:00,890 you can use any wavelength of light 463 00:21:00,890 --> 00:21:03,510 for this sort of experiment. 464 00:21:03,510 --> 00:21:05,420 So I'm not going to go too much in depth 465 00:21:05,420 --> 00:21:08,897 into the actual apparatus for an optical trap, 466 00:21:08,897 --> 00:21:10,730 but I do want to just give you the schematic 467 00:21:10,730 --> 00:21:13,790 and talk about the very basics. 468 00:21:13,790 --> 00:21:17,060 So the general idea is that you have a trapping laser, which 469 00:21:17,060 --> 00:21:19,310 is being focused right here on the specimen stage, 470 00:21:19,310 --> 00:21:21,590 basically just a microscope where you actually 471 00:21:21,590 --> 00:21:23,520 have the bead trapped. 472 00:21:23,520 --> 00:21:26,280 And then you have a second detection laser, 473 00:21:26,280 --> 00:21:29,295 which is much weaker, 100-fold weaker than the trapping laser, 474 00:21:29,295 --> 00:21:31,290 and is at a different wavelength. 475 00:21:31,290 --> 00:21:35,090 And this is being focused onto the same volume. 476 00:21:35,090 --> 00:21:38,390 And you have a quadrant photodiode, 477 00:21:38,390 --> 00:21:42,530 which basically gives off a different voltage in response 478 00:21:42,530 --> 00:21:47,391 to a different location of the trapping laser on it. 479 00:21:47,391 --> 00:21:48,890 And this is how you actually measure 480 00:21:48,890 --> 00:21:52,730 the where the bead actually is within the center of the trap. 481 00:21:52,730 --> 00:21:57,610 So if the bead is moved out of the center of the trap, 482 00:21:57,610 --> 00:22:01,040 then this detection laser is deflected slightly, 483 00:22:01,040 --> 00:22:04,050 because it's also refracts through the bead. 484 00:22:04,050 --> 00:22:09,110 And so that shifts the centroid of the detection laser 485 00:22:09,110 --> 00:22:12,170 as it's read out on this position-sensitive detector. 486 00:22:12,170 --> 00:22:16,460 And so you can take this reading 100,000 times a second. 487 00:22:16,460 --> 00:22:21,260 And that's how you can get this very detailed, one-nanometer 488 00:22:21,260 --> 00:22:25,640 level of resolution, which describes where the bead has 489 00:22:25,640 --> 00:22:28,910 been pulled by some biological molecule out 490 00:22:28,910 --> 00:22:30,050 of the center of the trap. 491 00:22:32,750 --> 00:22:34,375 So one other thing I should talk about, 492 00:22:34,375 --> 00:22:36,250 I want to give a couple of examples of things 493 00:22:36,250 --> 00:22:38,020 that people have used optical traps for. 494 00:22:38,020 --> 00:22:40,480 But it's worth mentioning that most experiments 495 00:22:40,480 --> 00:22:44,180 with optical traps are no longer done with just one trap. 496 00:22:44,180 --> 00:22:46,570 They're now done with two traps in which you 497 00:22:46,570 --> 00:22:48,940 have two different beads, each trapped 498 00:22:48,940 --> 00:22:50,710 within their own optical trap. 499 00:22:50,710 --> 00:22:53,200 And you do this because it basically mechanically isolates 500 00:22:53,200 --> 00:22:54,010 the system. 501 00:22:54,010 --> 00:22:55,870 So normally you can have vibrations 502 00:22:55,870 --> 00:22:59,465 just in the room that would shake your specimen stage. 503 00:22:59,465 --> 00:23:01,840 And it turns out that the distances that you're measuring 504 00:23:01,840 --> 00:23:04,390 are so small that these vibrations dramatically 505 00:23:04,390 --> 00:23:06,590 increase the noise of the system. 506 00:23:06,590 --> 00:23:08,110 But if you have both beads trapped 507 00:23:08,110 --> 00:23:09,568 within their own optical trap, that 508 00:23:09,568 --> 00:23:11,350 provides significant damping from any sort 509 00:23:11,350 --> 00:23:13,520 of mechanical vibration. 510 00:23:13,520 --> 00:23:16,990 And you can measure the bead-to-bead distance 511 00:23:16,990 --> 00:23:19,110 using this apparatus. 512 00:23:19,110 --> 00:23:21,970 And so here, this is from Stephen Block's group. 513 00:23:21,970 --> 00:23:26,050 They actually were able to measure single base pair 514 00:23:26,050 --> 00:23:29,700 incorporation into a growing mRNA chain 515 00:23:29,700 --> 00:23:33,340 as RNA polymerase walked along a template. 516 00:23:33,340 --> 00:23:34,990 So it's not perfect. 517 00:23:34,990 --> 00:23:36,430 It doesn't look totally linear. 518 00:23:36,430 --> 00:23:41,239 But it's pretty incredible to see two-angstroms resolution. 519 00:23:41,239 --> 00:23:43,030 And from this they could learn a great deal 520 00:23:43,030 --> 00:23:46,090 about the kinetics of RNA polymerase stepping 521 00:23:46,090 --> 00:23:46,974 along a template. 522 00:23:46,974 --> 00:23:48,640 And they could even keep it in registers 523 00:23:48,640 --> 00:23:51,280 so that they could know which base is being incorporated, 524 00:23:51,280 --> 00:23:53,650 which change in distance here represents which 525 00:23:53,650 --> 00:23:55,300 base incorporation, so they could 526 00:23:55,300 --> 00:23:57,920 study the kinetics of how sequence 527 00:23:57,920 --> 00:24:02,720 effects the rate of insertion. 528 00:24:02,720 --> 00:24:04,600 Another use of optical traps which 529 00:24:04,600 --> 00:24:07,970 has proved very fruitful for some people is to, 530 00:24:07,970 --> 00:24:10,920 you know, you can use them to measure forces 531 00:24:10,920 --> 00:24:14,260 that molecules apply on a bead, but you can also 532 00:24:14,260 --> 00:24:16,120 directly apply forces on molecules 533 00:24:16,120 --> 00:24:17,850 by turning the system around. 534 00:24:17,850 --> 00:24:21,280 If you move the center of the trap a little bit, 535 00:24:21,280 --> 00:24:23,860 then you can apply a force on a molecule which 536 00:24:23,860 --> 00:24:26,110 is, for example, bound in the trap, 537 00:24:26,110 --> 00:24:28,810 and see how a change in the force on the molecule 538 00:24:28,810 --> 00:24:30,400 will change the bead-to-bead distance, 539 00:24:30,400 --> 00:24:34,450 basically get a force extension curve. 540 00:24:34,450 --> 00:24:41,800 So here they trapped a protein domain in between two beads 541 00:24:41,800 --> 00:24:43,840 with a long DNA handle, which basically 542 00:24:43,840 --> 00:24:46,930 is designed to be a relatively rigid linker that just keeps 543 00:24:46,930 --> 00:24:49,190 the two beads relatively separated 544 00:24:49,190 --> 00:24:52,540 so that the optical traps don't overlay at all. 545 00:24:52,540 --> 00:24:53,980 And they applied force. 546 00:24:53,980 --> 00:24:58,660 And what you can see is that as you increase the force by-- 547 00:24:58,660 --> 00:25:01,972 in this case, they moved one of these beads just a little 548 00:25:01,972 --> 00:25:02,680 bit to the right. 549 00:25:05,860 --> 00:25:08,120 You get a little bit of stretching, 550 00:25:08,120 --> 00:25:11,710 which is partially in the DNA and partially in the protein 551 00:25:11,710 --> 00:25:13,190 domain itself. 552 00:25:13,190 --> 00:25:18,040 But then once you reach a certain threshold force, which 553 00:25:18,040 --> 00:25:21,550 in this case is 17 piconewtons, they actually 554 00:25:21,550 --> 00:25:24,130 unfold this protein domain. 555 00:25:24,130 --> 00:25:27,340 And you get a sudden jump in bead-to-bead distance 556 00:25:27,340 --> 00:25:31,060 as this now unfolded polypeptide no longer provides 557 00:25:31,060 --> 00:25:34,110 any sort of force pulling it back together. 558 00:25:34,110 --> 00:25:37,000 And then if they release the force 559 00:25:37,000 --> 00:25:40,900 and allow the molecule to relax, they actually 560 00:25:40,900 --> 00:25:43,840 get a different relaxation curve than their original extension 561 00:25:43,840 --> 00:25:46,210 curve, because this represents the relaxation 562 00:25:46,210 --> 00:25:48,940 of this unfolded polypeptide rather than 563 00:25:48,940 --> 00:25:51,376 the refolding of this domain. 564 00:25:51,376 --> 00:25:54,270 And another cool thing that they did in this experiment 565 00:25:54,270 --> 00:25:59,990 is they brought it right up to this unfolding force, 566 00:25:59,990 --> 00:26:02,200 and then they left it there. 567 00:26:02,200 --> 00:26:05,040 And it turns out that at this unfolding force, 568 00:26:05,040 --> 00:26:08,790 this protein rapidly unfolds and refolds, 569 00:26:08,790 --> 00:26:11,160 because it's a very small protein domain, so the protein 570 00:26:11,160 --> 00:26:12,690 folding is extremely quick. 571 00:26:12,690 --> 00:26:18,100 So this is the rapid transition between folding and unfolding 572 00:26:18,100 --> 00:26:21,650 which is taking place at this transition force. 573 00:26:21,650 --> 00:26:24,630 So they could use that to study the kinetics of the protein 574 00:26:24,630 --> 00:26:29,140 folding under force for this system. 575 00:26:29,140 --> 00:26:32,580 So today, the paper that you guys read for this recitation 576 00:26:32,580 --> 00:26:36,090 is about ClpXP, which is this protein 577 00:26:36,090 --> 00:26:38,510 that, as you guys studied in class, 578 00:26:38,510 --> 00:26:40,530 it recognizes protein substrates that have 579 00:26:40,530 --> 00:26:43,530 been tagged for degradation. 580 00:26:43,530 --> 00:26:49,590 And it uses mechanical energy released 581 00:26:49,590 --> 00:26:55,320 by ATP binding and hydrolysis to unfold folded protein domains 582 00:26:55,320 --> 00:26:58,560 and translocate the unfolded protein 583 00:26:58,560 --> 00:27:01,500 substrate through an axial pore into an associated 584 00:27:01,500 --> 00:27:04,890 sequestered peptidase, where the protein is rapidly chewed up 585 00:27:04,890 --> 00:27:06,360 into small peptides that are then 586 00:27:06,360 --> 00:27:10,370 recycled into their constituent amino acids. 587 00:27:10,370 --> 00:27:13,630 So I have another figure, which someone else in my lab 588 00:27:13,630 --> 00:27:17,890 made more recently, that illustrates a little bit 589 00:27:17,890 --> 00:27:22,600 better the actual unfolding and translocation steps, which 590 00:27:22,600 --> 00:27:25,690 were the steps that we studied in this paper. 591 00:27:25,690 --> 00:27:36,130 So the general idea is that ClpX will translocate 592 00:27:36,130 --> 00:27:39,040 a folded protein domain until it's reached a point where 593 00:27:39,040 --> 00:27:43,120 the folded domain is too big to fit through the axial pore. 594 00:27:43,120 --> 00:27:46,900 And then it will apply what we call power strokes, which 595 00:27:46,900 --> 00:27:51,840 are somehow related to ATP hydrolysis and binding, which 596 00:27:51,840 --> 00:27:57,850 yank on the ssrA tag and pull the protein down in a repeated 597 00:27:57,850 --> 00:27:59,590 attempt to unfold it. 598 00:27:59,590 --> 00:28:02,170 And you can say that there's some sort of strained protein 599 00:28:02,170 --> 00:28:02,934 structure. 600 00:28:02,934 --> 00:28:04,600 It turns out that most of these attempts 601 00:28:04,600 --> 00:28:07,720 do not actually successfully unfold the protein. 602 00:28:07,720 --> 00:28:10,330 But some proportion of these attempts-- 603 00:28:10,330 --> 00:28:13,387 maybe ClpX gets a particularly good grip. 604 00:28:13,387 --> 00:28:15,220 Maybe there's some sort of transient thermal 605 00:28:15,220 --> 00:28:17,890 destabilization in the protein itself. 606 00:28:17,890 --> 00:28:20,420 The protein successfully unfolded, 607 00:28:20,420 --> 00:28:22,530 and then it continues to take these small steps, 608 00:28:22,530 --> 00:28:26,630 these small power strokes along the unfolded polypeptide, 609 00:28:26,630 --> 00:28:31,648 translocating it into the peptidase for degradation. 610 00:28:31,648 --> 00:28:36,040 So in the experiments that Adrian actually 611 00:28:36,040 --> 00:28:43,720 did for this system, what he did is he attached ClpXP 612 00:28:43,720 --> 00:28:47,470 to a bead using streptavidin and biotin, which 613 00:28:47,470 --> 00:28:50,980 is, I believe, an interaction you guys are familiar with. 614 00:28:50,980 --> 00:28:55,780 And he attached a multi-domain protein substrate 615 00:28:55,780 --> 00:28:59,980 to a DNA linker so that the ssrA tag was 616 00:28:59,980 --> 00:29:02,470 at the end of this substrate. 617 00:29:02,470 --> 00:29:05,920 And he was able to move the two beads together 618 00:29:05,920 --> 00:29:10,410 so that, at some point, the ClpXP bound to the ssrA tag. 619 00:29:10,410 --> 00:29:12,910 And then he could record the bead-to-bead distance 620 00:29:12,910 --> 00:29:15,890 during the unfolding and translocation 621 00:29:15,890 --> 00:29:17,620 of this substrate. 622 00:29:17,620 --> 00:29:21,640 So what he saw is that, when ClpXP was successful 623 00:29:21,640 --> 00:29:24,880 in unfolding a protein domain, there was a sudden jump 624 00:29:24,880 --> 00:29:29,380 in bead-to-bead distance as the folded-- 625 00:29:29,380 --> 00:29:30,880 the whole experiment is taking place 626 00:29:30,880 --> 00:29:32,760 under a small amount of force. 627 00:29:32,760 --> 00:29:36,200 So as the polypeptide has now unfolded 628 00:29:36,200 --> 00:29:37,930 for that small amount of force, it's 629 00:29:37,930 --> 00:29:39,930 quickly pulled pretty taut. 630 00:29:39,930 --> 00:29:43,840 And then ClpXP translocates that substrate, now 631 00:29:43,840 --> 00:29:45,910 unfolded, through its axial pore, 632 00:29:45,910 --> 00:29:47,980 decreasing the bead-to-bead distance. 633 00:29:47,980 --> 00:29:49,480 And it continues this translocation 634 00:29:49,480 --> 00:29:52,195 until it reaches the next folded protein substrate, 635 00:29:52,195 --> 00:29:53,520 at which point it stops. 636 00:29:53,520 --> 00:29:55,620 It can't translocate any further. 637 00:29:55,620 --> 00:29:59,710 And it begins to attempt to unfold the substrate again. 638 00:29:59,710 --> 00:30:02,650 And eventually, after some sort of dwell 639 00:30:02,650 --> 00:30:04,870 that we call a pre-unfolding dwell, 640 00:30:04,870 --> 00:30:07,420 it will be successful at unfolding the substrate. 641 00:30:07,420 --> 00:30:09,940 There will be another jump in bead-to-bead distance, 642 00:30:09,940 --> 00:30:11,610 and the process will repeat. 643 00:30:11,610 --> 00:30:12,110 Go ahead. 644 00:30:12,110 --> 00:30:14,018 AUDIENCE: So you said that it was held taut. 645 00:30:14,018 --> 00:30:16,403 Is there an additional force that it 646 00:30:16,403 --> 00:30:18,788 experiences because it's being held taut, 647 00:30:18,788 --> 00:30:20,710 or is that accounted for? 648 00:30:20,710 --> 00:30:22,792 REUBEN: It's being held a little bit taut. 649 00:30:22,792 --> 00:30:23,750 I shouldn't say "taut." 650 00:30:23,750 --> 00:30:26,770 There is a small amount of force on the system. 651 00:30:26,770 --> 00:30:28,500 You know, often we record in the range 652 00:30:28,500 --> 00:30:33,300 of about five piconewtons, which is just required 653 00:30:33,300 --> 00:30:36,030 for the optical trapping apparatus to actually work, 654 00:30:36,030 --> 00:30:38,310 but should not have a significant effect 655 00:30:38,310 --> 00:30:40,450 on the behavior of the system. 656 00:30:40,450 --> 00:30:43,950 So I should have mentioned it back at the kinesin. 657 00:30:43,950 --> 00:30:46,770 You can understand the stall force 658 00:30:46,770 --> 00:30:49,320 for a molecular motor, which is the force that it 659 00:30:49,320 --> 00:30:52,650 takes to restrain it from taking additional steps. 660 00:30:52,650 --> 00:30:55,090 And it turns out that the stall force for kinesin 661 00:30:55,090 --> 00:30:56,800 is about seven piconewtons. 662 00:30:56,800 --> 00:31:00,300 The stall force for ClpXP is about 25 piconewtons. 663 00:31:00,300 --> 00:31:03,450 So it's dramatically higher than the small amount of force 664 00:31:03,450 --> 00:31:05,160 exerted on it by the trap. 665 00:31:05,160 --> 00:31:07,200 So it shouldn't have a significant impact 666 00:31:07,200 --> 00:31:08,130 on the results. 667 00:31:08,130 --> 00:31:11,820 What it just means is that, once you go from folded to unfolded, 668 00:31:11,820 --> 00:31:14,640 since there is nothing holding the unfolded structure 669 00:31:14,640 --> 00:31:17,250 in a coil, even a small amount of force 670 00:31:17,250 --> 00:31:20,199 will pull it out a little bit and cause this increase 671 00:31:20,199 --> 00:31:21,240 in bead-to-bead distance. 672 00:31:21,240 --> 00:31:22,740 JOANNE STUBBE: So I have a question. 673 00:31:22,740 --> 00:31:24,487 When you're developing these methods, 674 00:31:24,487 --> 00:31:26,070 like when we used to teach [INAUDIBLE] 675 00:31:26,070 --> 00:31:30,594 DNA polymerases, how you put the complex onto anything. 676 00:31:30,594 --> 00:31:32,260 REUBEN: Oh, I have a slide on that next. 677 00:31:32,260 --> 00:31:32,605 JOANNE STUBBE: OK. 678 00:31:32,605 --> 00:31:34,465 Because to me, that's the key thing. 679 00:31:34,465 --> 00:31:37,840 And the question is, in this particular experiment, 680 00:31:37,840 --> 00:31:40,475 how many iterations did they have to go through 681 00:31:40,475 --> 00:31:45,295 before they figured out length, attachment, all of that stuff? 682 00:31:45,295 --> 00:31:47,410 REUBEN: So fortunately, other groups 683 00:31:47,410 --> 00:31:49,420 have worked out many of these issues 684 00:31:49,420 --> 00:31:52,570 for other protein systems, so we were able to adapt those-- 685 00:31:52,570 --> 00:31:53,110 JOANNE STUBBE: And you would be able extrapolate-- 686 00:31:53,110 --> 00:31:53,530 REUBEN: --relatively easily. 687 00:31:53,530 --> 00:31:54,530 JOANNE STUBBE: from one? 688 00:31:54,530 --> 00:31:57,050 Because with the polymerases, you couldn't do that. 689 00:31:57,050 --> 00:32:00,730 REUBEN: Other people had studied these AAA's, particularly 690 00:32:00,730 --> 00:32:05,710 helicases, as well as various nucleotide translocases that 691 00:32:05,710 --> 00:32:08,380 are actually, in mechanical activity, 692 00:32:08,380 --> 00:32:10,060 somewhat similar to ClpXP. 693 00:32:10,060 --> 00:32:11,950 So we could basically adapt their systems 694 00:32:11,950 --> 00:32:16,030 without significant trial and error, which 695 00:32:16,030 --> 00:32:18,475 meant that we could get closer to the biology, 696 00:32:18,475 --> 00:32:21,300 or closer to the biophysics quickly, which was very nice. 697 00:32:21,300 --> 00:32:23,990 But other groups certainly spent 20 years getting these methods 698 00:32:23,990 --> 00:32:26,039 to actually work well. 699 00:32:26,039 --> 00:32:28,080 JOANNE STUBBE: Are there any generalizations that 700 00:32:28,080 --> 00:32:31,820 came out of that optimization? 701 00:32:31,820 --> 00:32:33,134 REUBEN: Yes. 702 00:32:33,134 --> 00:32:35,050 So there are a couple of generalizations which 703 00:32:35,050 --> 00:32:37,090 came out of that optimization. 704 00:32:37,090 --> 00:32:39,180 The first is that biotin-streptavidin 705 00:32:39,180 --> 00:32:41,140 is a really useful interaction. 706 00:32:41,140 --> 00:32:43,720 Basically all modern biophysical techniques 707 00:32:43,720 --> 00:32:48,130 use biotin-streptavidin or other basically binary, 708 00:32:48,130 --> 00:32:53,920 basically permanent interactions for these sorts 709 00:32:53,920 --> 00:32:55,000 of biophysical studies. 710 00:32:55,000 --> 00:32:56,958 JOANNE STUBBE: But biotin-enhanced streptavidin 711 00:32:56,958 --> 00:32:58,283 has four binding sites. 712 00:32:58,283 --> 00:33:02,010 Are they using a streptavidin with one binding site? 713 00:33:02,010 --> 00:33:02,510 REUBEN: No. 714 00:33:02,510 --> 00:33:06,590 You give the-- so when you're actually taking a bead 715 00:33:06,590 --> 00:33:08,720 and adding ClpXP to it, what you do 716 00:33:08,720 --> 00:33:11,204 is, you add a very small amount of ClpXP. 717 00:33:11,204 --> 00:33:12,620 And then once you've added it, you 718 00:33:12,620 --> 00:33:15,952 add just straight biotin to fill the rest of the binding sites. 719 00:33:15,952 --> 00:33:17,660 Because one thing that you never want is, 720 00:33:17,660 --> 00:33:20,330 you never want two ClpXPs on one bead 721 00:33:20,330 --> 00:33:22,460 to engage two substrates on another bead, 722 00:33:22,460 --> 00:33:23,660 because that would just totally screw up 723 00:33:23,660 --> 00:33:24,951 the data that you're recording. 724 00:33:24,951 --> 00:33:26,540 So you make sure that it's very, very 725 00:33:26,540 --> 00:33:29,610 sparse labeling of molecules of ClpXP on the surface. 726 00:33:29,610 --> 00:33:32,210 You know, I think we probably use femtomolar ClpXP 727 00:33:32,210 --> 00:33:36,140 during the actual labeling of the bead process. 728 00:33:36,140 --> 00:33:38,390 Another major takeaway from these experiments 729 00:33:38,390 --> 00:33:41,450 is that, for these dual bead experiments, 730 00:33:41,450 --> 00:33:43,580 it's very important to have a DNA linker. 731 00:33:43,580 --> 00:33:46,040 So the distance here is not really representative, 732 00:33:46,040 --> 00:33:49,070 but this DNA linker actually goes over here. 733 00:33:49,070 --> 00:33:50,570 Because you really want to maintain 734 00:33:50,570 --> 00:33:54,110 bead-to-bead separation on the order of more than a 735 00:33:54,110 --> 00:33:57,824 micron, so that your two traps don't overlay at all. 736 00:33:57,824 --> 00:33:59,240 Because this leads to much clearer 737 00:33:59,240 --> 00:34:01,760 readouts on your position-sensitive display, 738 00:34:01,760 --> 00:34:04,216 allowing much better data acquisition. 739 00:34:04,216 --> 00:34:06,148 JOANNE STUBBE: So again, just technically, 740 00:34:06,148 --> 00:34:07,600 I'm interested in this-- 741 00:34:07,600 --> 00:34:08,670 REUBEN: Oh, sure. 742 00:34:08,670 --> 00:34:10,920 JOANNE STUBBE: So when you have very low concentration 743 00:34:10,920 --> 00:34:13,590 of anything, usually you have a lot of problems, 744 00:34:13,590 --> 00:34:16,050 because the stuff sticks to everything. 745 00:34:16,050 --> 00:34:19,345 So how do you avoid, you know, just inherently, 746 00:34:19,345 --> 00:34:20,689 especially proteins. 747 00:34:20,689 --> 00:34:22,489 I mean, I've dealt a lot with proteins. 748 00:34:22,489 --> 00:34:24,526 The more glue you get, the worse-behaved 749 00:34:24,526 --> 00:34:26,533 they are, because they stick to everything, 750 00:34:26,533 --> 00:34:30,157 even when you modify the containers 751 00:34:30,157 --> 00:34:32,813 with different kinds of polymers and stuff like that. 752 00:34:32,813 --> 00:34:33,780 So-- 753 00:34:33,780 --> 00:34:35,730 REUBEN: Yeah, so that is a major issue. 754 00:34:35,730 --> 00:34:38,190 In this case, it's not a particularly big issue, 755 00:34:38,190 --> 00:34:41,219 because you're really-- all you need is one ClpXP on the bead 756 00:34:41,219 --> 00:34:44,010 and one molecule of substrate on the other bead. 757 00:34:44,010 --> 00:34:46,110 So it doesn't really matter what happened 758 00:34:46,110 --> 00:34:48,420 to most of the molecules that you add to your mixture 759 00:34:48,420 --> 00:34:52,090 as long as you have one active molecule here and one 760 00:34:52,090 --> 00:34:53,699 accessible molecule there. 761 00:34:53,699 --> 00:34:55,710 So it's probably true that there are 762 00:34:55,710 --> 00:34:58,290 ClpXPs which, at this very low concentration, 763 00:34:58,290 --> 00:35:00,930 are bound non-specifically to the surface of the bead, 764 00:35:00,930 --> 00:35:02,790 and probably bound non-specifically 765 00:35:02,790 --> 00:35:04,590 into the actual cover slip. 766 00:35:04,590 --> 00:35:07,244 But it turns out that those molecules 767 00:35:07,244 --> 00:35:08,535 have no signal in this process. 768 00:35:11,610 --> 00:35:13,640 So it's not as big of an issue. 769 00:35:13,640 --> 00:35:15,570 And there's no concentration dependence 770 00:35:15,570 --> 00:35:17,310 that you're trying to measure using 771 00:35:17,310 --> 00:35:18,990 these very low concentrations. 772 00:35:18,990 --> 00:35:23,070 So even if 99% of the stuff you add binds non-specifically, 773 00:35:23,070 --> 00:35:25,140 it's just not that big of a deal. 774 00:35:25,140 --> 00:35:28,590 For single-molecule fluorescence it can be a really major deal, 775 00:35:28,590 --> 00:35:31,285 and so you have to work really hard to basically [INAUDIBLE] 776 00:35:31,285 --> 00:35:32,160 all of your surfaces. 777 00:35:34,695 --> 00:35:35,662 So-- no, go ahead. 778 00:35:35,662 --> 00:35:38,120 AUDIENCE: I guess it doesn't matter as much for this system 779 00:35:38,120 --> 00:35:40,610 since you have two optical traps you're only measuring 780 00:35:40,610 --> 00:35:41,890 a one-dimensional distance. 781 00:35:41,890 --> 00:35:44,505 But for optical traps, do you just measure displacement, 782 00:35:44,505 --> 00:35:47,800 or can you know two-dimensional, like which direction 783 00:35:47,800 --> 00:35:48,790 it was displaced? 784 00:35:48,790 --> 00:35:50,290 REUBEN: You can tell which direction 785 00:35:50,290 --> 00:35:54,100 it's displaced, because actually that little picture-- 786 00:35:54,100 --> 00:35:56,039 basically it will deflect the beam of light 787 00:35:56,039 --> 00:35:57,580 onto this position-sensitive display. 788 00:35:57,580 --> 00:36:00,970 AUDIENCE: But the voltage is dependent upon both x and y 789 00:36:00,970 --> 00:36:02,710 directions when working with that? 790 00:36:02,710 --> 00:36:04,210 REUBEN: I can tell you more about the apparatus later. 791 00:36:04,210 --> 00:36:05,820 It's dependent on both x and y, yeah. 792 00:36:05,820 --> 00:36:07,840 It's called a quadrupole detector. 793 00:36:07,840 --> 00:36:09,730 So it basically has four different diodes, 794 00:36:09,730 --> 00:36:11,860 and you look at the relative ratio from these four 795 00:36:11,860 --> 00:36:12,580 different detectors. 796 00:36:12,580 --> 00:36:13,746 That tells you where it is-- 797 00:36:16,200 --> 00:36:18,900 basically a four-pixel camera, I guess. 798 00:36:18,900 --> 00:36:25,280 So the actual substrate, the attachment 799 00:36:25,280 --> 00:36:28,520 onto the DNA, it's via a sort of chemical biology 800 00:36:28,520 --> 00:36:30,560 which is worth knowing about, which is something 801 00:36:30,560 --> 00:36:32,330 called the HaloTag. 802 00:36:32,330 --> 00:36:36,560 So it turns out that there is this enzyme which, 803 00:36:36,560 --> 00:36:40,010 if you make a couple of mutations to ruin it, 804 00:36:40,010 --> 00:36:44,661 it will make a covalent bond with haloalkanes. 805 00:36:44,661 --> 00:36:46,910 Basically any haloalkane that you add to your reaction 806 00:36:46,910 --> 00:36:48,620 mixture, this enzyme will actually 807 00:36:48,620 --> 00:36:52,022 form a covalent bond with the haloalkane in the active site. 808 00:36:52,022 --> 00:36:54,230 I forget what the original function of the enzyme is. 809 00:36:54,230 --> 00:36:57,010 It's some sort of halogenase or something. 810 00:36:57,010 --> 00:37:01,070 So in this case, we synthesized this long DNA linker such 811 00:37:01,070 --> 00:37:03,380 that it had a haloalkane at one of its ends. 812 00:37:03,380 --> 00:37:05,360 And then we added this halo domain 813 00:37:05,360 --> 00:37:08,900 at the N-terminus of our long substrate 814 00:37:08,900 --> 00:37:13,250 such that it would form a covalent bond 815 00:37:13,250 --> 00:37:16,280 with the DNA which had a biotin at the other end. 816 00:37:16,280 --> 00:37:17,810 And then we added that to a bead. 817 00:37:17,810 --> 00:37:20,060 And it turns out that these beads are slightly smaller 818 00:37:20,060 --> 00:37:21,107 than these beads. 819 00:37:21,107 --> 00:37:22,940 So when we actually start these experiments, 820 00:37:22,940 --> 00:37:25,145 we trap a big bead in one beam and a small bead 821 00:37:25,145 --> 00:37:27,140 in another beam, and we basically 822 00:37:27,140 --> 00:37:30,680 move them very slowly with respect to each other 823 00:37:30,680 --> 00:37:33,680 until you eventually get an attachment between a ClpXP 824 00:37:33,680 --> 00:37:35,030 and a halo domain. 825 00:37:35,030 --> 00:37:38,210 And then you begin the actual recording of the experiment. 826 00:37:38,210 --> 00:37:43,500 So I have a nice animation of this actual unfolding process. 827 00:37:43,500 --> 00:37:48,080 So this illustrates the effects of an unfolding under force. 828 00:37:48,080 --> 00:37:52,980 So once ClpXP successfully unfolds a domain, 829 00:37:52,980 --> 00:37:56,420 you get this big jump in bead-to-bead distance, which 830 00:37:56,420 --> 00:38:02,450 decreases during translocation and then increases again 831 00:38:02,450 --> 00:38:04,140 during the next unfolding step. 832 00:38:04,140 --> 00:38:04,640 Alex? 833 00:38:04,640 --> 00:38:06,400 ALEX: Why do you use a DNA linker? 834 00:38:06,400 --> 00:38:09,800 REUBEN: We use a DNA linker to keep the Y-DNA instead 835 00:38:09,800 --> 00:38:10,970 of something else. 836 00:38:10,970 --> 00:38:13,840 It's really easy to make a long piece of DNA. 837 00:38:13,840 --> 00:38:15,499 You know, this is like a micron long. 838 00:38:15,499 --> 00:38:17,540 There are very few proteins that are well-behaved 839 00:38:17,540 --> 00:38:18,970 at that sort of length. 840 00:38:18,970 --> 00:38:19,512 DNA is very-- 841 00:38:19,512 --> 00:38:21,386 ALEX: But why not work with PEG or something? 842 00:38:21,386 --> 00:38:22,752 REUBEN: --well behaved. 843 00:38:22,752 --> 00:38:24,132 Stiffness. 844 00:38:24,132 --> 00:38:25,580 PEG is very floppy. 845 00:38:25,580 --> 00:38:27,387 DNA is relatively stiff. 846 00:38:27,387 --> 00:38:28,970 There's still some sort of floppiness, 847 00:38:28,970 --> 00:38:31,470 which you account for using what they call a worm-like chain 848 00:38:31,470 --> 00:38:33,680 model, which if you have any questions about that, 849 00:38:33,680 --> 00:38:35,630 ask me afterward. 850 00:38:35,630 --> 00:38:37,430 But DNA is much stiffer than just 851 00:38:37,430 --> 00:38:39,764 a single PEG, and also very strong compared 852 00:38:39,764 --> 00:38:40,430 to a single PEG. 853 00:38:44,020 --> 00:38:48,340 So again, what you see is unfolding translocation, 854 00:38:48,340 --> 00:38:50,739 and then unfolding again at the next substrate. 855 00:38:50,739 --> 00:38:52,780 So do any of you have questions about the readout 856 00:38:52,780 --> 00:38:55,681 that we get when we're actually looking at acquiring 857 00:38:55,681 --> 00:38:56,680 the data for this paper? 858 00:38:56,680 --> 00:38:59,030 Does this make sense to you guys? 859 00:38:59,030 --> 00:39:00,716 Cool. 860 00:39:00,716 --> 00:39:02,090 So I'm going to get into a couple 861 00:39:02,090 --> 00:39:03,630 of the figures of the paper. 862 00:39:03,630 --> 00:39:06,482 This paper is very difficult, and has a lot of data in it. 863 00:39:06,482 --> 00:39:07,940 But some of the figures I think are 864 00:39:07,940 --> 00:39:10,320 relatively easy to understand. 865 00:39:10,320 --> 00:39:14,450 So I believe you covered these different mutations of titin, 866 00:39:14,450 --> 00:39:16,820 which change the mechanical stability 867 00:39:16,820 --> 00:39:19,830 and change the rate of ClpXP unfolding in degradation. 868 00:39:19,830 --> 00:39:22,430 So using these mutations, we were actually 869 00:39:22,430 --> 00:39:28,310 able to directly investigate the unfolding strength of ClpXP. 870 00:39:28,310 --> 00:39:31,880 So this titin I27 domain, there are a couple 871 00:39:31,880 --> 00:39:35,210 of mutations you can make right by the C-terminus 872 00:39:35,210 --> 00:39:39,380 of the domain, where you basically switch a valine 873 00:39:39,380 --> 00:39:42,500 or something for a proline, which significantly decreases 874 00:39:42,500 --> 00:39:45,030 the mechanical stability. 875 00:39:45,030 --> 00:39:47,780 And we made these multi-domain substrates 876 00:39:47,780 --> 00:39:51,350 with these various mutants of titin inserted. 877 00:39:51,350 --> 00:39:57,560 And then we investigated the time of the pre-unfolding dwell 878 00:39:57,560 --> 00:39:59,600 before this big bead-to-bead distance 879 00:39:59,600 --> 00:40:02,510 for each of these unfoldings events before a domain. 880 00:40:02,510 --> 00:40:05,540 And what we saw is that, for a wild-type titin, 881 00:40:05,540 --> 00:40:08,840 the most stable, we saw relatively long 882 00:40:08,840 --> 00:40:11,690 pre-unfolding dwells. 883 00:40:11,690 --> 00:40:14,090 Whereas for the V15P titin, which 884 00:40:14,090 --> 00:40:16,550 has the intermediate mechanical strength, 885 00:40:16,550 --> 00:40:19,750 we saw shorter pre-unfolding dwells. 886 00:40:19,750 --> 00:40:23,750 And for the V13P titin, we saw the shortest 887 00:40:23,750 --> 00:40:28,440 pre-unfolding dwells, which basically are the flat periods 888 00:40:28,440 --> 00:40:30,470 in between these jumps. 889 00:40:30,470 --> 00:40:32,530 So it turns out that-- 890 00:40:32,530 --> 00:40:36,260 so you can quantitate the length of these dwells 891 00:40:36,260 --> 00:40:39,700 by basically plotting the number of dwells 892 00:40:39,700 --> 00:40:43,050 of a certain length, the frequency of dwells 893 00:40:43,050 --> 00:40:46,600 of a certain length or shorter, versus that length 894 00:40:46,600 --> 00:40:48,300 on the x-axis. 895 00:40:48,300 --> 00:40:50,690 So this is basically making a cumulative distribution 896 00:40:50,690 --> 00:40:53,330 plot of the dwells. 897 00:40:53,330 --> 00:40:56,160 And it's pretty easy to show that, 898 00:40:56,160 --> 00:40:58,700 if you're looking at a single exponential decay 899 00:40:58,700 --> 00:41:01,260 process such as a single kinetic step, 900 00:41:01,260 --> 00:41:04,281 then this plot should have an exponential shape 901 00:41:04,281 --> 00:41:06,530 where it's fit very well by a single exponential decay 902 00:41:06,530 --> 00:41:07,870 process. 903 00:41:07,870 --> 00:41:11,120 And so you can look at the rate of that exponential 904 00:41:11,120 --> 00:41:12,800 to actually gain a lot of insight 905 00:41:12,800 --> 00:41:16,880 into the rate of that particular kinetic step. 906 00:41:16,880 --> 00:41:20,380 So for the wild type titin, we found 907 00:41:20,380 --> 00:41:22,930 that the half-life for this unfolding event, 908 00:41:22,930 --> 00:41:26,170 which you can extract from this exponential decay rate, 909 00:41:26,170 --> 00:41:28,420 was about 55 seconds. 910 00:41:28,420 --> 00:41:32,140 Whereas for this V15P titin, which we knew 911 00:41:32,140 --> 00:41:36,110 is less mechanically stable, it was about 17 seconds. 912 00:41:36,110 --> 00:41:40,430 And for this V13P titin it was about six seconds. 913 00:41:40,430 --> 00:41:42,280 And we saw that these plots are not 914 00:41:42,280 --> 00:41:44,430 perfectly fit by a single exponential, 915 00:41:44,430 --> 00:41:46,390 but they are fit very well. 916 00:41:46,390 --> 00:41:48,160 And this sort of indicates that there 917 00:41:48,160 --> 00:41:52,870 is one rate limiting step, one major kinetic step 918 00:41:52,870 --> 00:41:55,450 in the actual process of unfolding, which 919 00:41:55,450 --> 00:41:57,160 is what we assumed, because we believed 920 00:41:57,160 --> 00:41:59,740 that these domains unfolded very cooperatively. 921 00:41:59,740 --> 00:42:03,490 And so basically this suggests that a single successful power 922 00:42:03,490 --> 00:42:06,580 stroke by ClpXP is responsible for the unfolding 923 00:42:06,580 --> 00:42:08,445 of these domains. 924 00:42:08,445 --> 00:42:10,820 So do any of you have any questions about how we measured 925 00:42:10,820 --> 00:42:13,492 unfolding in this circumstance? 926 00:42:13,492 --> 00:42:15,200 AUDIENCE: Well, just looking at the fits, 927 00:42:15,200 --> 00:42:16,960 it almost looks like it decays slower 928 00:42:16,960 --> 00:42:19,161 than a monoexponential decay. 929 00:42:19,161 --> 00:42:19,660 Right? 930 00:42:19,660 --> 00:42:24,560 Do you have an explanation for why that is like that? 931 00:42:24,560 --> 00:42:26,660 REUBEN: No. 932 00:42:26,660 --> 00:42:28,870 There aren't that many data points here. 933 00:42:28,870 --> 00:42:30,820 And some of these data points out 934 00:42:30,820 --> 00:42:34,700 at these high distances are a little bit hairy. 935 00:42:34,700 --> 00:42:39,650 I would say there's quite a bit of error in biochemistry, 936 00:42:39,650 --> 00:42:44,820 and my guess is that the quality of these fits is like 99.9. 937 00:42:44,820 --> 00:42:46,820 And without dramatically more data, 938 00:42:46,820 --> 00:42:50,330 it's not very useful to speculate 939 00:42:50,330 --> 00:42:54,140 about what this other exponential might be. 940 00:42:54,140 --> 00:42:58,100 So I'm not going to say. 941 00:42:58,100 --> 00:42:59,950 I honestly have no idea. 942 00:42:59,950 --> 00:43:01,450 JOANNE STUBBE: But I think that when 943 00:43:01,450 --> 00:43:02,824 you're looking at data like that, 944 00:43:02,824 --> 00:43:06,650 sometimes it's better to look way down here so you can see 945 00:43:06,650 --> 00:43:09,630 the quality of the fit, so you can 946 00:43:09,630 --> 00:43:11,000 look at the quality of the fit. 947 00:43:11,000 --> 00:43:13,210 It's hard to see it on that graph. 948 00:43:13,210 --> 00:43:14,070 REUBEN: Oh, sorry. 949 00:43:14,070 --> 00:43:14,190 Yeah. 950 00:43:14,190 --> 00:43:16,815 JOANNE STUBBE: [INAUDIBLE] would mean a lot of the data points. 951 00:43:16,815 --> 00:43:18,024 And then you look at the fit. 952 00:43:18,024 --> 00:43:18,564 REUBEN: Yeah. 953 00:43:18,564 --> 00:43:20,910 JOANNE STUBBE: I think the data looks [INAUDIBLE].. 954 00:43:20,910 --> 00:43:21,451 REUBEN: Yeah. 955 00:43:21,451 --> 00:43:24,280 Given-- I mean, this data took Adrian like a year to acquire, 956 00:43:24,280 --> 00:43:27,470 because you get so few data points per experiment. 957 00:43:27,470 --> 00:43:29,870 With the error, this is pretty darn good 958 00:43:29,870 --> 00:43:32,750 for this type of setup. 959 00:43:32,750 --> 00:43:36,200 It may be that sometimes it takes two very rapid power 960 00:43:36,200 --> 00:43:39,461 strokes, and that might add some longer exponential decay 961 00:43:39,461 --> 00:43:39,960 process. 962 00:43:39,960 --> 00:43:43,910 But it's very difficult to say. 963 00:43:43,910 --> 00:43:46,940 So we know from the crystal structures, 964 00:43:46,940 --> 00:43:48,740 as well as from biochemical studies, 965 00:43:48,740 --> 00:43:52,340 that ClpXP has these pore loops along its axial pore, which 966 00:43:52,340 --> 00:43:55,010 are actually directly involved in the mechanical activity 967 00:43:55,010 --> 00:43:56,100 of the protein. 968 00:43:56,100 --> 00:43:59,780 So we believe that there are these RKH loops, which 969 00:43:59,780 --> 00:44:02,360 are on the top face of ClpXP. 970 00:44:02,360 --> 00:44:04,520 And these loops make this initial interaction 971 00:44:04,520 --> 00:44:06,200 with the ssrA tag. 972 00:44:06,200 --> 00:44:09,380 And then there are pore-1 loops within the pore, 973 00:44:09,380 --> 00:44:12,380 and we believe that the pore-1 loops are the loops that 974 00:44:12,380 --> 00:44:15,320 are basically the levers of mechanical force application 975 00:44:15,320 --> 00:44:19,260 to a substrate during unfolding and translocation. 976 00:44:19,260 --> 00:44:22,260 So these pore loops, you can imagine 977 00:44:22,260 --> 00:44:24,540 them undergoing a conformational change, where 978 00:44:24,540 --> 00:44:27,060 they grab onto an unfolded polypeptide 979 00:44:27,060 --> 00:44:29,500 and basically are translocated downward 980 00:44:29,500 --> 00:44:32,100 in some sort of nucleotide-dependent manner, 981 00:44:32,100 --> 00:44:34,370 dragging the substrate with it. 982 00:44:34,370 --> 00:44:37,470 And if the substrate is unfolded, then it comes along. 983 00:44:37,470 --> 00:44:40,050 If it's folded, then this can be either a successful 984 00:44:40,050 --> 00:44:42,820 or an unsuccessful unfolding event. 985 00:44:42,820 --> 00:44:44,950 And then there are also these pore-2 loops, 986 00:44:44,950 --> 00:44:46,650 which we think are involved in holding 987 00:44:46,650 --> 00:44:49,380 the substrate at the bottom of the pore 988 00:44:49,380 --> 00:44:53,640 as the pore-1 loops are reset for the next power stroking 989 00:44:53,640 --> 00:44:55,530 event. 990 00:44:55,530 --> 00:44:57,780 And we've done a lot of experiments 991 00:44:57,780 --> 00:45:03,930 which try to explain how these power stroking events are 992 00:45:03,930 --> 00:45:08,190 related to the actual process of ATP hydrolysis 993 00:45:08,190 --> 00:45:12,270 to ADP and phosphate, and then phosphate release, and then ADP 994 00:45:12,270 --> 00:45:13,920 release. 995 00:45:13,920 --> 00:45:16,110 And we have some evidence which suggests 996 00:45:16,110 --> 00:45:19,590 that phosphate release after ATP hydrolysis 997 00:45:19,590 --> 00:45:22,080 is the step which is most intimately coupled 998 00:45:22,080 --> 00:45:25,320 with this particular conformational change that 999 00:45:25,320 --> 00:45:27,270 applies to mechanical force. 1000 00:45:27,270 --> 00:45:28,290 But it's-- 1001 00:45:28,290 --> 00:45:29,665 JOANNE STUBBE: So how do you look 1002 00:45:29,665 --> 00:45:31,790 at that kind of measurement? 1003 00:45:31,790 --> 00:45:34,370 REUBEN: The way that we've measured this most effectively 1004 00:45:34,370 --> 00:45:37,760 is to do single-molecule experiments of the sort I'm 1005 00:45:37,760 --> 00:45:41,540 going to show on the next plot with either excess phosphate 1006 00:45:41,540 --> 00:45:45,170 or excess vanadate. 1007 00:45:45,170 --> 00:45:49,400 So the idea is that after phosphate leaves, 1008 00:45:49,400 --> 00:45:52,760 there is some sort of a rate constant, which 1009 00:45:52,760 --> 00:45:57,440 describes the time it takes for this conformational change 1010 00:45:57,440 --> 00:45:58,470 to occur. 1011 00:45:58,470 --> 00:46:00,890 So if you have phosphate or a phosphate analog that 1012 00:46:00,890 --> 00:46:04,940 rebinds before that conformational change can 1013 00:46:04,940 --> 00:46:08,585 occur, then that should increase the dwell time. 1014 00:46:08,585 --> 00:46:10,835 JOANNE STUBBE: That's only one phosphate binding site? 1015 00:46:10,835 --> 00:46:12,791 I mean, you have six-- how many-- 1016 00:46:12,791 --> 00:46:14,747 you have multiple subunits. 1017 00:46:14,747 --> 00:46:18,659 And depending on whether the other nucleotide is around, 1018 00:46:18,659 --> 00:46:20,615 you only have one binding site if you have 1019 00:46:20,615 --> 00:46:24,530 a huge excess of Pi, or is it-- 1020 00:46:24,530 --> 00:46:27,830 REUBEN: We think that the important phosphate-leaving 1021 00:46:27,830 --> 00:46:31,590 step is taking place when there is ADP bound. 1022 00:46:31,590 --> 00:46:35,390 So in this subunit where you have ADP bound and also 1023 00:46:35,390 --> 00:46:37,539 phosphate bound, and then that phosphate leaves, 1024 00:46:37,539 --> 00:46:39,080 we think that that is the step that's 1025 00:46:39,080 --> 00:46:41,366 related to the actual mechanical motion. 1026 00:46:41,366 --> 00:46:43,490 But we're not going to claim that that is the step, 1027 00:46:43,490 --> 00:46:45,500 we're going to say we think that's the step. 1028 00:46:45,500 --> 00:46:47,570 And our evidence supports that versus any 1029 00:46:47,570 --> 00:46:53,510 of the other steps such as ATP binding or ADP release, 1030 00:46:53,510 --> 00:46:59,000 because you can show that adding a lot of competitor ADP 1031 00:46:59,000 --> 00:47:01,310 or changing the rate of ATP does not 1032 00:47:01,310 --> 00:47:04,610 have the effect on this dwell time in between steps 1033 00:47:04,610 --> 00:47:07,280 that you would expect if those were the steps that had 1034 00:47:07,280 --> 00:47:09,680 this central mechanical role. 1035 00:47:09,680 --> 00:47:14,570 But the evidence is not totally compelling. 1036 00:47:14,570 --> 00:47:16,450 But just imagine that something related 1037 00:47:16,450 --> 00:47:18,580 to this process of ATP hydrolysis 1038 00:47:18,580 --> 00:47:21,400 is basically causing this pore loop 1039 00:47:21,400 --> 00:47:24,220 to be translocated downward. 1040 00:47:24,220 --> 00:47:27,220 So what we could do is-- 1041 00:47:27,220 --> 00:47:30,340 I showed these plots where you see this unfolding and then 1042 00:47:30,340 --> 00:47:31,980 the slow translocation. 1043 00:47:31,980 --> 00:47:34,900 You can actually, because these optical traps 1044 00:47:34,900 --> 00:47:38,170 have such high resolution, you can actually 1045 00:47:38,170 --> 00:47:40,510 monitor the individual steps that ClpXP 1046 00:47:40,510 --> 00:47:43,150 takes as it walks along a substrate, which I actually 1047 00:47:43,150 --> 00:47:45,260 think is pretty awesome. 1048 00:47:45,260 --> 00:47:50,950 So you can fit these steps to a model 1049 00:47:50,950 --> 00:47:53,380 to get cleaner quantitation. 1050 00:47:53,380 --> 00:47:57,670 And then you can quantitate the length of these steps. 1051 00:47:57,670 --> 00:48:00,070 And you can see that ClpXP takes steps 1052 00:48:00,070 --> 00:48:03,460 that are a range between about one nanometer and about 1053 00:48:03,460 --> 00:48:05,060 four nanometers. 1054 00:48:05,060 --> 00:48:07,960 And we quantize this. 1055 00:48:07,960 --> 00:48:12,640 We say that ClpXP can take steps between one and four 1056 00:48:12,640 --> 00:48:15,850 in multiples of one, because we know from the crystal 1057 00:48:15,850 --> 00:48:18,430 structures that this particular pore loop 1058 00:48:18,430 --> 00:48:22,966 translocation downward, it moves about one nanometer. 1059 00:48:22,966 --> 00:48:28,990 And so what we've found is that you 1060 00:48:28,990 --> 00:48:31,480 can look at the order of these step sizes. 1061 00:48:31,480 --> 00:48:34,920 And you find that ClpXP, it rarely takes-- 1062 00:48:34,920 --> 00:48:38,050 so the order of steps, which you can see A, 1063 00:48:38,050 --> 00:48:40,095 it's taking a one-nanometer step, and then 1064 00:48:40,095 --> 00:48:42,982 a two-nanometer step, and then a one-nanometer step, 1065 00:48:42,982 --> 00:48:45,190 and then a couple other one-nanometer steps, and then 1066 00:48:45,190 --> 00:48:47,350 some twos and then some threes. 1067 00:48:47,350 --> 00:48:50,400 And you can see that for B and for C, as well. 1068 00:48:50,400 --> 00:48:57,090 We found that the order of these steps is relatively random. 1069 00:48:57,090 --> 00:49:00,960 It's very difficult to use one step to predict what 1070 00:49:00,960 --> 00:49:02,640 the next step is going to be. 1071 00:49:02,640 --> 00:49:06,150 So from that, we think that there is a significant degree 1072 00:49:06,150 --> 00:49:12,750 of stochasticity in some aspect of the mechanism 1073 00:49:12,750 --> 00:49:15,600 of this enzyme, determining possibly which 1074 00:49:15,600 --> 00:49:18,600 subunits are hydrolyzing ATP to power a power stroke. 1075 00:49:18,600 --> 00:49:21,570 But we say that it's not completely stochastic. 1076 00:49:21,570 --> 00:49:24,300 The events are not all equally likely to occur 1077 00:49:24,300 --> 00:49:25,900 after each other event. 1078 00:49:25,900 --> 00:49:29,400 So for example, after a four-nanometer step, 1079 00:49:29,400 --> 00:49:32,250 we very rarely see a second four-nanometer step 1080 00:49:32,250 --> 00:49:33,750 or a three-nanometer step. 1081 00:49:33,750 --> 00:49:36,060 We are much more likely to see a one-nanometer step 1082 00:49:36,060 --> 00:49:38,430 or a two-nanometer step. 1083 00:49:38,430 --> 00:49:42,510 Whereas it's much more likely that after a one-nanometer 1084 00:49:42,510 --> 00:49:45,810 step, we might see a longer step. 1085 00:49:45,810 --> 00:49:51,300 So we have come up with a couple of complicated kinetic models 1086 00:49:51,300 --> 00:49:53,890 that can explain some of this data. 1087 00:49:53,890 --> 00:49:56,280 And we're not saying that it's correct. 1088 00:49:56,280 --> 00:49:58,860 What we're more saying is that this is the sort of thing 1089 00:49:58,860 --> 00:50:02,280 that you have to think about when really asking 1090 00:50:02,280 --> 00:50:04,800 deep questions about the mechanical activity 1091 00:50:04,800 --> 00:50:05,790 of this machine. 1092 00:50:05,790 --> 00:50:08,460 So a model which explains this behavior where 1093 00:50:08,460 --> 00:50:11,550 you don't see several long steps in a row 1094 00:50:11,550 --> 00:50:15,240 is to say that these steps, which are quantized according 1095 00:50:15,240 --> 00:50:17,970 to this one nanometer, what they actually represent 1096 00:50:17,970 --> 00:50:22,410 is cascades of steps, possibly a two-nanometer step being two 1097 00:50:22,410 --> 00:50:25,170 very quick steps in a row, or a four-nanometer step being 1098 00:50:25,170 --> 00:50:27,240 four very quick steps in a row, which 1099 00:50:27,240 --> 00:50:28,920 occurred too quickly for our instrument 1100 00:50:28,920 --> 00:50:31,380 to actually catch them. 1101 00:50:31,380 --> 00:50:34,350 And you can say that each step is basically 1102 00:50:34,350 --> 00:50:36,590 controlled by nucleotide hydrolysis 1103 00:50:36,590 --> 00:50:39,680 or by phosphate release in a single subunit. 1104 00:50:39,680 --> 00:50:44,940 And say that possibly a four-nanometer step involves 1105 00:50:44,940 --> 00:50:49,505 phosphate release in four subunits, sort of one 1106 00:50:49,505 --> 00:50:50,130 after the next. 1107 00:50:50,130 --> 00:50:52,800 Maybe they're all contiguous, or maybe they're not. 1108 00:50:52,800 --> 00:50:55,920 We don't really have any evidence going either way. 1109 00:50:55,920 --> 00:51:00,240 And so you have boom, boom, boom, boom, 1110 00:51:00,240 --> 00:51:02,940 in a cascade of four very quick steps. 1111 00:51:02,940 --> 00:51:05,190 Whereas a two-nanometer step involves 1112 00:51:05,190 --> 00:51:07,860 hydrolysis in two subunits, and a one-nanometer step 1113 00:51:07,860 --> 00:51:10,014 involves hydrolysis in just a single subunit. 1114 00:51:10,014 --> 00:51:11,430 So the reason that we're attracted 1115 00:51:11,430 --> 00:51:14,190 to models such as this is that after you 1116 00:51:14,190 --> 00:51:16,430 have one of these four-nanometer steps, 1117 00:51:16,430 --> 00:51:19,410 you have basically lost your phosphate, 1118 00:51:19,410 --> 00:51:23,380 or lost your ATP, or whatever, in four different subunits. 1119 00:51:23,380 --> 00:51:26,580 And so it takes time for ATP to bind 1120 00:51:26,580 --> 00:51:29,190 and possibly to be hydrolyzed again in these four 1121 00:51:29,190 --> 00:51:30,490 different subunits. 1122 00:51:30,490 --> 00:51:33,720 So it's unlikely that you're going 1123 00:51:33,720 --> 00:51:36,570 to have the time for four ATPs to bind 1124 00:51:36,570 --> 00:51:39,810 and be hydrolyzed before your next power stroke. 1125 00:51:39,810 --> 00:51:41,550 Whereas it only requires binding in one 1126 00:51:41,550 --> 00:51:47,610 subunit to power a single-nanometer step. 1127 00:51:47,610 --> 00:51:52,200 So this model, we don't actually have much evidence 1128 00:51:52,200 --> 00:51:55,620 that suggests that it has to be sequential orders of subunits 1129 00:51:55,620 --> 00:51:58,020 going around the ring like that. 1130 00:51:58,020 --> 00:52:00,570 We've chosen this counterclockwise direction 1131 00:52:00,570 --> 00:52:02,124 completely arbitrarily. 1132 00:52:02,124 --> 00:52:03,540 The reason that we think that it's 1133 00:52:03,540 --> 00:52:05,580 limited to four-nanometer steps rather 1134 00:52:05,580 --> 00:52:08,100 than five-nanometer or six-nanometer steps 1135 00:52:08,100 --> 00:52:12,180 is that we know that ClpXP, even at saturating concentrations 1136 00:52:12,180 --> 00:52:17,370 of ATP, basically never binds more than about four 1137 00:52:17,370 --> 00:52:20,170 equivalents of ATP per hexamer. 1138 00:52:20,170 --> 00:52:22,470 And we also know that there are these U subunits, 1139 00:52:22,470 --> 00:52:25,050 these unloadable subunits, which are actually 1140 00:52:25,050 --> 00:52:28,270 not competent for ATP binding. 1141 00:52:28,270 --> 00:52:31,380 So possibly a four-nanometer step 1142 00:52:31,380 --> 00:52:34,230 could involve phosphate release from all four 1143 00:52:34,230 --> 00:52:37,230 of the subunits that have ATP bound. 1144 00:52:37,230 --> 00:52:40,250 But then the step stops when this cascade event, 1145 00:52:40,250 --> 00:52:42,270 this cascade of conformational changes, 1146 00:52:42,270 --> 00:52:46,080 reaches an unloadable subunit, which has nothing bound. 1147 00:52:46,080 --> 00:52:49,870 So we are trying to add more to this mechanism, 1148 00:52:49,870 --> 00:52:54,270 but the behavior of this protein is very complicated. 1149 00:52:54,270 --> 00:52:56,839 So I should just say, I didn't actually 1150 00:52:56,839 --> 00:52:58,380 record any of the data in this paper. 1151 00:52:58,380 --> 00:53:02,240 I don't work on optical traps at all. 1152 00:53:02,240 --> 00:53:05,920 If you have any questions about the experiments that I do, 1153 00:53:05,920 --> 00:53:08,640 which more directly investigate the model I just 1154 00:53:08,640 --> 00:53:11,490 showed on the last page using single-molecule fluorescence, 1155 00:53:11,490 --> 00:53:13,200 feel free to ask me anytime. 1156 00:53:13,200 --> 00:53:15,750 These experiments were done by Adrian, 1157 00:53:15,750 --> 00:53:17,730 who's a postdoc in the lab, who's probably 1158 00:53:17,730 --> 00:53:21,600 going to start as a professor at UC San Francisco next year. 1159 00:53:21,600 --> 00:53:23,010 This is the Sauer lab. 1160 00:53:23,010 --> 00:53:24,320 It's a great place to Year Up. 1161 00:53:24,320 --> 00:53:27,960 If any of you are looking for a new Year Up, come say hi. 1162 00:53:27,960 --> 00:53:30,210 So if you have any other questions about optical traps 1163 00:53:30,210 --> 00:53:33,470 or ClpXP, feel free to ask me.