$$\rightleftharpoonup{xx}$$
$$\longleftharp{xx}$$,
$$\longrightharp{xx}$$,
As described in protocol section 2, lysines were labeled using NHS-esters conjugated to a fluorescent dye molecule (NHS-dye). After conjugation to the protein, measure the DOL with a UV-Vis spectrometer. For this experiment, the DOL of AQP4 tetramers was 4.12. Next, determine the probability that each AQP4 tetramer will have at least one dye molecule using the Poisson distribution provided below.
(2)
Where P is the probability that each AQP4 is labeled, using equation 2, the probability that each AQP4 tetramer has a fluorescent label attached to it is 98%. The distribution of labels per tetramer is shown in Figure 2 and reflects the brightness distribution observed in the sample.
The signal-to-noise ratio achieved in this example data was 8-9x above background for a single fluorophore and upwards of 15-20 for the brightest particles. This variance comes from the position in the excitation beam and the DOL described in protocol step 2.
Within the generated XML file, the columns of interest are J, K, L, and M, which correspond to the particle number ID, the frame in which the particle was detected, the X position of the particle, and the Y position of the particle, respectively (see Supplemental File 6). In the second sheet of the file, the step-size distribution and average diffusion coefficient are calculated, where the step-sizes are the distances a particle moves between frames, and the average diffusion is given by equation 3:
(3)
Where Dave is the average diffusion coefficient, and Δt is the frame rate. This equation assumes Brownian motion, which is generally valid for small displacements and can be confirmed by analyzing the mean-squared displacement versus time tag from a sample of individual tracks3,30,31.
A histogram of step-sizes shows a distribution of particles diffusing, which can be attributed to different-sized OAPs (Figure 5).

Figure 1: Lipid drying apparatus. The apparatus consists of a 10 mL round-bottom flask with a vacuum distillation connector. Nitrogen enters at low pressure through a 0.2 µm syringe filter with a needle attached to a yellow synthesis cap, which is connected to a vacuum distillation connector. Pressure is released through Tygon tubing attached to a syringe with a cut-off needle. Please click here to view a larger version of this figure.

Figure 2: Expected distribution of fluorescent labels on each AQP4 unit using equation 2. The most probable number of fluorophores is 4, and 98% of all AQP4s will have a fluorescent label. Please click here to view a larger version of this figure.

Figure 3: Sample holder assembly. The assembly is made of a 1" SM1 lens tube with the male threads removed and beveled to prevent interference with the microscope objective. Includes a quartz coverslip and a parafilm gasket. The entire assembly is secured with an SM1 retaining ring. Please click here to view a larger version of this figure.

Figure 4: Microscope. On the right side is a simplified diagram of the microscope; the green line shows the excitation light coming from the laser. Starting from the right, the laser light passes through a ¼ waveplate, then is focused by a 300 mm lens. The light is reflected by a long pass dichroic mirror onto the objective, where it is focused onto the back aperture. By using a translation mirror to shift the excitation beam, the beam is positioned at the edge of the objective's aperture, creating an evanescent field in the sample. The in-focus emitted light is collected by the objective and is represented by the red line. The emitted light then passes through the dichroic, then a long pass filter, and is focused by a 300 mm lens onto the camera, providing a 1.7x optical magnification (170x total magnification from the objective and tube lens). On the left side, is an image of the microscope. Note that additional turning mirrors are used to correctly position the laser. Simultaneously, the detection arm is arranged to maximize the collection of photons from the fluorescently labeled transmembrane proteins. Please click here to view a larger version of this figure.

Figure 5: Histogram of step sizes. The blue line with red circles is a histogram of all the step sizes. The black line is a fit for multiple diffusion coefficients. The step-size probability distribution is given by:
where fi is the fractional population of each type of diffusing particle, assuming each undergoes Brownian motion. The histogram and fit show a heterogeneous distribution of slower- and faster-moving particles, attributed to a distribution of multiple OAP sizes. Please click here to view a larger version of this figure.
Supplemental File 1: Spreadsheet calculator used to determine mol% compositions, total lipid amounts, and optional fluorescent/FRAP components for SUV preparation. Please click here to download this File.
Supplemental File 2: Raw single-molecule fluorescence microscopy time-lapse image stack used in trajectory tracking (source file for TrackMate tutorial). Please click here to download this File.
Supplemental File 3: Animated preview of raw single-molecule fluorescence data showing intensity and background prior to processing. Please click here to download this File.
Supplemental File 4: Animation of filtered particle paths (post-thresholding) showing representative AQP4 trajectories over time. Please click here to download this File.
Supplemental File 5: Animated overlay showing full-field particle tracking of AQP4 molecules using TrackMate output. Please click here to download this File.
Supplemental File 6: Spreadsheet showing extracted trajectory coordinates and calculated step-size distributions used for diffusion analysis. Please click here to download this File.