Abstract
To image the accessible genome at nanometer scale in situ, we developed 3D ATAC-PALM which integrates Assay for Transposase-Accessible Chromatin with visualization, PALM super-resolution imaging and lattice light-sheet microscopy. Multiplexed with Oligopaint DNA-FISH, RNA-FISH and protein fluorescence, 3D ATAC-PALM connected microscopy and genomic data, revealing spatially-segregated accessible chromatin domains (ACDs) that enclose active chromatin and transcribed genes. Using these methods to analyze genetically perturbed cells, we demonstrated that genome architectural protein CTCF prevents excessive clustering of accessible chromatin and decompacts ACDs. These results highlight 3D ATAC-PALM as a useful tool to probe the structure and organizing mechanism of the genome.
Keywords: Genome organization, Accessible chromatin, ATAC, PALM, Oligopaint, DNA-FISH and RNA-FISH
The genome conformation and nuclear organization play profound roles in gene expression, replication and repair1. Chromosome conformation capture (3C) based deep sequencing methods have provided significant insights into genome organization modules (compartments, topologically associated domains (TADs), and loop domains) with rich sequence information2–5. However, the extensive heterogeneity and intrinsic variation of genome folding6 prompts the development of new single cell imaging methods to investigate the 3D genome organization, mechanism and function in situ.
Of the ~6 billion base pairs of DNA in the diploid human genome, only a small fraction (~2%) is accessible to the binding of transcription factors (TFs), cofactors, RNA polymerases et al., which decode essential genetic information to instruct precise spatiotemporal gene expression programs7. The linear distribution of accessible chromatin (e.g. enhancers, promoters and insulators) has been extensively mapped by DNase I digestion8,9 or by assay for transposase-accessible chromatin with high-throughput sequencing (ATAC-seq)10,11. Recently, an ATAC based imaging method (ATAC-See) has been developed to visualize cell-type specific accessible chromatin in single cells by transforming the molecular accessibility of chromatin into fluorescent signal12. However, because of the diffraction-limited resolution, this technique was unable to precisely pinpoint the accessible cis-regulatory chromatin and quantitatively characterize its 3D organizational pattern inside the compact nucleus. Here we report the development of a 3D super-resolution imaging method to capture the nanometer-scale 3D architecture of cis-regulatory elements in single cells and demonstrate its applications in investigating genome organization mechanisms.
Results
Super-resolution imaging of the accessible genome by 3D ATAC-PALM
To visualize the entire accessible genome at nanometer-scale, we reconstituted a recombinant, hyperactive Tn5 transposase coupled to bright photoactivatable Janelia Fluor 54913 (PA-JF549) conjugated DNA probes (Fig. 1a, Extended Data Figure 1a–b). To preserve nuclear architecture and genome folding, we performed Tn5 PA-JF549 labeling in formaldehyde-fixed mouse embryonic stem cells (ESCs). Consistent with the previous report12, genome-wide deep sequencing (ATAC-seq) revealed that the efficiency and specificity of Tn5 PA-JF549 labeling in fixed ESCs were comparable with these of Nextera Tn5 labeling in live cells. Specifically, DNA fragment lengths, transcription start site (TSS) enrichments and ATAC-seq peak distributions of both Tn5 systems were highly comparable (Extended Data Figure 1c–g), confirming that the Tn5 PA-JF549 system efficiently and specifically catalyzed covalent insertion of PA-JF549 DNA probes into the accessible genome (Fig. 1a). The PA-JF549 DNA probes were to be used for super-resolution imaging of accessible chromatin by the photoactivated localization microscopy (PALM)14.
To efficiently utilize the photon budget, we performed 3D PALM imaging using the lattice light-sheet microscope15 with sub-micron illumination thickness to suppress out-of-focus photobleaching and achieve improved signal-to-noise ratio for single-molecule detections throughout the nucleus (Fig. 1b). We also introduced astigmatism with the a cylindrical lens in the detection path16,17 to generate an axially sensitive point-spread function (PSF) for improved axial localization (z localization precision was improved to ~50 nm) (Fig. 1b). Individual samples were imaged iteratively for at least ~10,000 cycles (~24 hours) to exhaust single-molecule detections. After drift correction, merging consecutive localization events, nucleus segmentation based on a H2B-GFP marker and carefully masking out mitochondrial DNA signals, we obtained 50,000~100,000 effective 3D localizations per nucleus (Extended Data Figure 2a–b). Interestingly, the number of effective localizations detected per nucleus is on the same order of the number of accessible regions identified in bulk and in single-cell ATAC-seq experiments11. More importantly, reducing Tn5 PA-JF549 labeling concentrations by 2-fold did not significantly affect the number of effective localizations obtained in individual nuclei (Extended Data Figure 2a), suggesting that the labeling of accessible genomic sites was saturated. We named this super-resolution accessible genome imaging strategy “3D ATAC-PALM”.
It is important to note that only ~2% of the genome is accessible10–12 and the Tn5 PA-JF549 labeling condition (37°C, neutral pH and non-denaturing conditions) is relatively gentle compared to high-temperature, denaturing conditions used in DNA-FISH experiments18–21. Thus, the ATAC-PALM labeling enabled by probe insertion in a chemically-crosslinked nucleus is unlikely to significantly perturb the overall chromatin structure.
3D ATAC-PALM reveals spatially segregated accessible chromatin domains
After nucleus segmentation and localization-based image reconstruction, we found that accessible genomic regions in mouse ESCs and embryonic fibroblasts (MEFs) are non-homogeneously distributed and organized into spatially segregated 3D clusters. Henceforth, we called these high-density clusters - accessible chromatin domains (ACDs) (Fig. 1c, Supplementary Video 1). To quantify the degree of accessible chromatin clustering, we used the pair auto-correlation function g(r) (Eqn. S8), which was applied by physicists to describe the clustering of stars in galaxies22. g(r) measures the density of localizations on a 3D surface, at a distance of r from the reference point and is equal to 1 for uniformly distributed localizations (Fig. 1d). In our g(r) calculation, we also employed a previously described statistical model23 to suppress over-counting of single fluorophores due to photo-blinking. We found that the g(r) for ATAC-PALM localizations in both ESCs or differentiated MEFs was significantly higher than that of a uniform distribution at multiple length scales, indicating extensive spatial clustering of accessible chromatin (Fig. 1d and Extended Data Figure 2c). In addition, ATAC-PALM localizations were significantly more clustered than histone H2B PALM localizations collected in the same imaging conditions (Fig. 1d), excluding the possibility that over-counting of blinking molecules could account for 3D clustering of accessible chromatin. We estimated the localization density enrichment at the center of ACDs g(0) by fitting g(r) with a fluctuation model (Eqn. S16) to obtain the clustering amplitude (A) (Fig. 1d). The typical radius of ACDs in wild type ESCs was estimated by using Ripley’s H function H(r) (Eqn. S13). We found that H(r) for ATAC-PALM localizations significantly deviated from a uniform distribution (H(r)=0), reaching a maximum at a radius of ~150 nm (Fig. 1e). Consistent with these results, DBSCAN (Density-Based Spatial Clustering of Applications with Noise)24 analysis identified much larger number (~11 fold more) of ACDs from ATAC-PALM localizations than from uniformly sampled localizations in the same volume (Fig. 1f). It is worth noting that we did not detect significant differences of the g(r) function at distinct interphase stages (e.g. G1, S and G2) demarcated by genetically encoded cell cycle fluorescent reporters (Extended Data Figure 2d–e)25.
To test whether the organization of accessible chromatin can be perturbed, we induced chromatin hyperacetylation by the HDAC inhibitor trichostatin A (TSA)26. TSA treatment markedly reduced g(r) (Fig. 1d), suggesting less clustering and a more homogenous distribution of accessible chromatin in the nucleus. Genome-wide ATAC-seq revealed that TSA treatment not only induced the formation of a large number of new accessible sites in the genome but also reduced chromatin accessibility at enhancer and promoter regions, thus effectively diminishing the contrast of cis-regulatory element landscape in general (Extended Data Figure 2f–g). These results suggested that 3D ATAC-PALM is sufficiently sensitive to detect 3D organizational changes of accessible chromatin.
3D ATAC-PALM multiplexed with Oligopaint DNA-FISH, RNA-FISH and Protein fluorescence
To understand the nature of ACDs, we sought to simultaneously image ACDs and other key features defined from genomic data (e.g. ATAC-seq, ChIP-seq and Hi-C). To this end, we optimized the compatibility of 3D ATAC-PALM with available single-cell imaging techniques such as Oligopaint DNA-FISH, RNA-FISH and protein fluorescence (See detail protocols in Supplementary Methods) (Fig. 2a). For example, by coupling 3D ATAC-PALM with Oligopaint DNA-FISH which employs high-density fluorescent oligo probes to label a particular genomic region18–21,27, we found that individual ACDs were statistically prone to spatially co-localize with active (ATAC and H3K4me3-rich) genomic regions (Fig. 2b–c, Supplementary Video 2 and 3) and were spatially segregated from inactive (ATAC and H3K4me3-poor) regions (Fig. 2d). Because of the saturated labeling and localization detection in our imaging (Extended Data Figure 2a), the density variation of ATAC-PALM localizations within individual chromatin segments likely reflects the extensive heterogeneity and intrinsic variation of genome folding observed in single cells28 (Fig. 2f). To further investigate whether ACDs are spatially correlated with active chromatin, we coupled 3D ATAC-PALM with RNA-FISH and found that ACDs enclosed an actively transcribed pluripotency marker gene, Nanog (Fig. 2e–f).
To overcome the specificity and resolution limitation of antibody based imaging, we generated genome-edited mESC lines in which we fused the HaloTag to endogenous regulatory proteins associated with active chromatin (e.g. histone variant H2A.Z and Mediator subunit 1(MED1))29,30. After accessible chromatin and HaloTag labeling with photoactivatable Janelia Fluor 549 and 64613 respectively, we performed two-color, super-resolution 3D PALM imaging. Pair cross-correlation analysis revealed that localizations of H2A.Z or MED1 were spatially correlated with ATAC localizations across multiple scales (Extended Data Figure3). In contrast, ACDs and HP1-GFP labeled heterochromatic regions were mutually exclusive, organized into distinct salt-and-pepper spatial patterns in the nucleus (Fig. 2g, Supplementary Video 4). Taken together, these results validated that ACDs revealed by 3D ATAC-PALM represent structures of active, accessible chromatin that are spatially segregated from heterochromatin. Meanwhile, we also demonstrated that 3D ATAC-PALM can be coupled with other single-cell imaging techniques (such as Oligopaint DNA-FISH, RNA-FISH, protein fluorescence-based super-resolution imaging) to study genome organization.
CTCF prevents excessive clustering of accessible chromatin
To further understand the mechanism underlying the spatial organization of ACDs, we focused on genome architectural protein CTCF31. To deplete CTCF with minimal secondary effects, we employed the auxin-inducible degron (AID) system32 and tagged endogenous CTCF with a HaloTag-miniAID (mAID) in a mESC line stably expressing the rice F-box protein TIR1 (Fig. 3a). The HaloTag-mAID was fused to the N-terminus of CTCF to avoid previously reported problems (e.g. auxin independent degradation and interference with CTCF function) associated with C-terminal tagging33. We found that HaloTag-mAID labeling of CTCF influenced neither basal protein levels (Extended Data Figure 4a) nor cell proliferation before auxin treatment (Extended Data Figure4e–g). Within a few hours of auxin treatment, CTCF expression was undetectable by western blot, single-cell fluorescence imaging or flow cytometry (> 99% depletion) (Fig. 3a, Extended Data Figure 4a–d). The depletion was reversible, as CTCF protein levels quickly recovered after auxin washout (Extended Data Figure 4d). Acute loss of CTCF (up to 12 hours) did not cause noticeable changes in proliferation, cell cycle phasing or expression of pluripotency markers (Fig. 3a, Extended Data Figure 4a, c, e–g), although prolonged CTCF (> 48 hours) loss did compromise proliferation, colony formation and survival of ESCs (Extended Data Figure 4e–g).
Acute loss of CTCF triggered prominent organizational changes in ACDs (Fig. 3b, Supplementary Video 5) and markedly enhanced accessible chromatin clustering as the g(r) function increased significantly across multiple length scales relative to unperturbed conditions (Fig. 3c). We found that, at the single cell level, the efficiency of CTCF depletion was positively correlated with the degree of accessible chromatin clustering (1/A, equals to 1/g(0)) (Fig. 3d). Furthermore, the increase in accessible chromatin clustering induced by CTCF depletion was largely reversed when CTCF levels recovered after auxin washout (Extended Data Figure 5a). As a control, genome-wide ATAC-seq revealed that acute loss of CTCF did not significantly affect chromatin accessibility at enhancers and promoters, although chromatin accessibility at CTCF binding sites was reduced (Extended Data Figure 5b–c, Extended Data Figure 5d–f). Consistent with these results, DBSCAN analysis revealed higher ATAC localization densities within individual ACDs (Extended Data Figure 5g–h), suggesting that CTCF might regulate compaction of accessible chromatin.
CTCF decompacts ACDs
To investigate the link between CTCF and chromatin compaction, we labeled 6 active and 5 inactive chromosomal segments that were well-demarcated based on chromatin accessibility and CTCF binding with high density Oligopaint FISH probes (Extended Data Figure 6a–b). We measured the 3D volume for each segment after iso-surface based segmentation of Airyscan images (Supplementary Video 6). We found that, after length normalization, active segments generally occupied larger volumes relative to inactive segments (Extended Data Figure 6c), in good agreement with previously published STORM imaging results20. Consistent with the increased clustering and higher localization density of accessible chromatin within ACDs, 3D volumes of active segments were significantly reduced, whereas inactive segments appeared largely unaffected upon CTCF depletion (Fig. 3e–f, Extended Data Figure 6d–e).
To further validate our single-cell imaging data, we performed high resolution Micro-C experiments after acute CTCF depletion (6 hours) in ESCs34,35 (Fig. 3g). Consistent with previous Hi-C results31, we found that the number of chromatin loops and that of TADs were significantly reduced after CTCF loss whereas A/B compartments remained largely intact (Fig. 3g, Extended Data Figure 7, Fig. 8). Notably, CTCF depletion significantly enhanced contact probabilities within active chromatin segments but not within inactive ones (Fig. 3f), in good agreement with our 3D ATAC-PALM and Oligopaint DNA-FISH imaging data that CTCF depletion enhanced accessible chromatin clustering and compacted ACDs. These results are also consistent with predictions from the proposed loop extrusion model36–38. Specifically, without adequate insulation by CTCF, Cohesin continues to extrude chromatin DNA, resulting in compaction of accessible chromatin. However, due to the lack of CTCF binding at inactive (ATAC-poor) regions, CTCF depletion would not induce chromatin compaction at these regions just as what we observed here (Fig. 3h, Extended Data Figure 6d–e). Thus, in addition to providing supportive evidence to previous modeling predictions based on Hi-C genomic data31,37,39, these single-cell imaging results further underscored the potential of 3D ATAC-PALM as a tool to probe genome organization.
Discussion
Here we demonstrated that 3D ATAC-PALM enables super-resolution in situ imaging of the spatial organization of the accessible genome in different cell types of interest. 3D ATAC-PALM imaging in formaldehyde fixed cells makes it potentially applicable to formalin fixed tissue slices and other clinical samples. The compatibility of 3D ATAC-PALM with Oligopaint DNA-FISH, RNA-FISH, and protein fluorescent imaging makes this method readily adaptable to researchers from a wide range of biomedical fields. We have demonstrated that 3D ATAC-PALM exhibits exquisite sensitivity to detect the spatial organizational changes of genome topology under a variety of chemical-genetic perturbations (TSA, CTCF depletion et al), which are further validated by orthogonal approaches (Oligopaint DNA-FISH or Micro-C). We envision that this new single-cell super-resolution imaging method will complement existing genome imaging (DNA-FISH, CRISPR imaging et al.) and sequencing (Hi-C et al.) methods to understand fundamental principles underlying the 3D genome organization in situ.
The clustering of accessible chromatin unveiled by 3D ATAC-PALM highlights the prevalent spatial proximity among cis-regulatory elements, reminiscent of the extensive promoter-promoter, enhancer-enhancer and enhancer-promoter interactions captured by ensemble chromatin interaction experiments40,41. The architecture of clustered cis-regulatory elements may thus serve as a topological basis for mediating long-range enhancer-promoter communications and precise spatiotemporal gene expression control. In the future, high-throughput, sequence-specific Oligopaint DNA-FISH-based barcoding strategies27,42,43 in combination with 3D ATAC-PALM may help delineate the spatial relationship between ACDs, compartments, TADs and loops and the architectural basis of gene regulation. Integrating 3D ATAC-PALM with other functional (epi)genomic, genome editing, and live cell imaging approaches will faciliate dissecting funadmental mechanisms and functions of the spatial organization of the accessible genome. ATAC-seq has been applied to profile the human cancer landscape and enables classification of cancer subtypes with important prognostic value44. It will be of practical interest to unleash the exquisite spatial resolution of 3D ATAC-PALM to examine the accessible genomic landscape in disease specimens for clinical diagnosis and mechanistic investigations.
Methods:
Tn5 Expression and Purification
The plasmid pTXB1-Tn5 (Addgene #60240) was used to express the hyperactive Tn5 transposase fused with the Mxe Intein and Chitin-binding domain45. Briefly, the pTXB1-Tn5 was transformed into the T7 Express lysY/Iq Competent E. coli (NEB, cat# C3013I). 1 litter culture of transformed cells were grown in TB buffer with antibiotics at 37°C to A600 ~0.6 and induced with 0.25 mM IPTG. The cells were incubated at 23°C for 4 h, harvested, and washed with 50 mL 1× PBS with cOmplete™ Protease Inhibitor Cocktail (Roche). The cell pellet was snap frozen in liquid nitrogen, stored at −80°C overnight, resuspended in 160 mL HEGX (20 mM HEPES-KOH at pH 7.2, 0.8 M NaCl, 1 mM EDTA, 10% glycerol, 0.2% Triton X-100) with Protease Inhibitor and sonicated for 10 cycles of 30s ON/60s OFF at 30 W output on a Model 100 Sonic Dismembrator (Fisher Scientific). The lysate was centrifuged in a Beckman JA25.50 rotor at 16,000 rpm for 30 min at 4°C and 8.4 mL 5% neutralized PEI (Sigma P3143) was added dropwise into the supernatant with gentle agitation for 15 minutes at 4°C followed by another centrifuge at 13,000 rpm for 10 min at 4°C. Meantime 20 mL Chitin Resin (NEB cat#S6651L) was equilibrated in a column with 200mL of HEGX buffer supplemented with protease inhibitor and loaded with the supernatant from the PEI-centrifuge step by slow gravity flow (<0.3mL/min). The column was washed with 400 mL HEGX overnight at a flow rate ~0.6 mL/min. To cleave the Tn5 from the Intein, 48 mL HEGX buffer + 100 mM DTT supplemented with protease inhibitor was loaded to the top of the column bed and the column was left closed for 48 h at 4° C. Cleaved Tn5 was eluted in ~1 mL fractions and Tn5 elution efficiency was monitored by the Pierce™ Coomassie (Bradford) Protein Assay Kit (Thermo Fisher Scientific cat# 23200). Fractions with the strongest absorbance were pooled and dialyzed versus two changes of 2 L of 2X Tn5 dialysis buffer (100 mM HEPES-KOH at pH 7.2, 0.2 M NaCl, 0.2 mM EDTA, 2 mM DTT, 0.2% Triton X-100, 20% glycerol) at 4° C. After dialysis, the protein concentration was measured using a Nanodrop spectrophotometer (Thermo Scientific) and confirmed by running an SDS-PAGE gel using BSA as a standard. Tn5 protein was further concentrated to 20 mg/mL using the Amicon Ultra-15 Centrifugal Filter Unit and we added 50% glycerol to the final concentrate and prepared aliquots in screw-top microcentrifuge tubes, flash freeze in liquid nitrogen, and store at −80° C. The Tn5 activity was tested by the in vitro tagmentation assay45 and further verified by performing genome wide ATAC-seq experiment.
PA-JF549 dye-oligo conjugation and purification
The mosaic ends (ME) adaptors for Tn5 transposase were synthesized by Integrated DNA Technologies (IDT) with attachment of a 5’ end primary amino group by a six-carbon spacer arm (C6). The oligonucleotide sequences and their modifications are:
Tn5ME-A: 5′-amino-C6 TCGTCGGCAGCGTCAGATGTGTATAAGAGACAG3′
Tn5ME-B: 5′-amino-C6-GTCTCGTGGGCTCGGAGATGTGTATAAGAGACAG-3′
Tn5MErev: 5′-[phos]CTGTCTCTTATACACATCT-3′
The photoactivatable Janelia Fluor 549 coupled to the N-hydroxysuccinimide (NHS) ester (NHS-PA-JF549) was synthesized by the Luke Lavis’s group at Janelia Research Campus. The NHS-PA-JF549 was dissolved in anhydrous dimethylsulfoxide (DMSO) immediately before conjugation. The Tn5ME-A and Tn5ME-B oligos were first dissolved in deionized water and then extracted three times with chloroform. The upper aqueous solution was carefully extracted and precipitated by 3M sodium acetate (pH 5.2) and ethanol. The pellet was washed with 70% ethanol, dried and dissolved in ultrapure water. The purified oligos were reacted with excessive NHS-PA-JF549 in anhydrous DMSO (mass ratio 1:2.5) in the labeling buffer (0.1 M sodium tetraborate, pH 8.5). The reaction was incubated at room temperature for overnight (>12 hours) with constant stirring and protection from light. The conjugation reaction was further precipitated by 3M sodium acetate, pH 5.2 and ethanol. The purified pellet was dissolved in 0.1 M TEAA (triethylammonium acetate) (Thermo Fisher Scientific cat# 400613).
Purification of oligo-dye conjugates were performed on Agilent 1200 Analytical HPLC system equipped with an autosampler, diode array detector and fraction collector. The column used was Eclipse XDB-C18 column (4.6 × 150 mm 5 μm, Agilent) and eluted with a linear gradient of 0–100% MeCN/H2O with constant 10 mM TEAA additive; 30 min run; 1ml/min flow, detection at 260 nm. Sample fractions were pooled and lyophilized to obtain the product as white solid.
In vitro Tn5 transposome assembly, validation and preparation for PALM imaging
The HPLC purified Tn5ME-A-PA-JF549, Tn5ME-B-PA-JF549, Tn5MErev oligos were resuspended in water to 100 μM each. Tn5ME-A-PA-JF549 or Tn5ME-B-PA-JF549 were mixed with Tn5MERev in each molar ratio in 1X annealing buffer (10mM Tris HCl pH8.0, 50mM NaCl, 1mM EDTA) and were denatured on a benchtop thermocycler at 95 °C for 5 min and then slowly cooled down to 25°C at the rate of −1°C /min. We assembled the Tn5 transposome with PA-JF549 according to previously published protocol12 by combining 0.25 vol Tn5MErev/Tn5ME-A-PA-JF549 + Tn5MErev/Tn5ME-B-PA- JF549 (50 μM each), 0.4 vol glycerol (100% solution), 0.12 vol 2× dialysis buffer (100 mM HEPES–KOH at pH 7.2, 0.2 M NaCl, 0.2 mM EDTA, 2 mM DTT, 0.2% Triton X-100, 20% glycerol), 0.1 vol Tn5 (50 μM), 0.13 vol H2O, followed by gentle nutation at room temperature for 1 hour. The activity of in-house prepared Tn5 transposome was validated by genome-wide ATAC-seq as described previously12 following an reverse crosslinking step.
We prepared cells for 3D ATAC-PALM experiments as reported previously12. Briefly, cells (mouse ESC or MEF) were plated onto #1 thickness 5mm coverslips (Warner Instruments, cat#64–0700) at around 70–80% confluency with proper coating one day before experiment. Cells were fixed with 1% paraformaldehyde (Electron Microscopy Sciences, Cat# 15710) for 10 min at room temperature. After fixation, cells were washed three times with 1 X PBS for 5 minutes and then permeabilized with ATAC lysis buffer (10 mM Tris–Cl, pH 7.4, 10 mM NaCl, 3 mM MgCl2, 0.1% Igepal CA-630) for 10 min at room temperature. After permeabilization, the slides were washed twice in 1XPBS and put inside a humidity chamber box at 37 °C. The transposase mixture solution (1× Tagmentation buffer-10mM Tris-HCl, pH 7.6, 5mM MgCl2, 10% dimethylformamide, 100 nM Tn5- PA-JF549) was added to the cells and incubated for 30 min at 37 °C inside the humidity chamber. After the transposase reaction, slides were washed three times with 1 X PBS containing 0.01% SDS and 50 mM EDTA for 15 min at 55 °C before mounted onto the Lattice light-sheet microscope (LLSM) slot for 3D ATAC-PALM imaging.
3D ATAC-PALM image acquisition and processing
The 3D ATAC-PALM data were acquired by the Lattice light-sheet microscopy15 at room temperature. The light sheet was generated from the interference of highly parallel beams in a square lattice and dithered to create a uniform excitation sheet. The inner and outer numerical apertures of the excitation sheet were set to be 0.44 and 0.55, respectively. A Variable-Flow Peristaltic Pump (Thermo Fisher Scientific) was used to connect a 2L reservoir with the imaging chamber with 1×PBS circulating through at a constant flow rate. Labelled cells seeded on 5mm coverslips (Warner Instruments) were placed into the imaging chamber and each image volume includes ~100–200 image frames, depending on the depth of field of view. Specifically, spontaneously activated PA-JF549 dye were initially pushed into the fluorescent dark state through repeated photo-bleaching by scanning the whole image view with a 2W 560 nm laser (MPB Communications Inc., Canada). Then, the samples were imaged by iteratively photo-activating each plane with very low intensity 405 nm light (<0.05 mW power at the rear aperture of the excitation objective and 6W/cm2 power at the sample) for 8 ms and by exciting each plane with a 2W 560 nm laser at its full power (26 mW power at the rear aperture of the excitation objective and 3466 W/cm2 power at the sample) for 20 ms exposure time. The specimen was illuminated when laser light went through a custom 0.65 NA excitation objective (Special Optics, Wharton, NJ) and the fluorescence generated within the specimen was collected by a detection objective (CFI Apo LWD 25×W, 1.1 NA, Nikon), filtered through a 440/521/607/700 nm BrightLine quad-band bandpass filter (Semrock) and N-BK7 Mounted Plano-Convex Round cylindrical lens (f = 1000 mm, Ø 1”, Thorlabs), and eventually recorded by an ORCA-Flash 4.0 sCMOS camera (Hamamatsu). The cells were imaged under sample scanning mode and the dithered light sheet at 500 nm step size, thereby capturing a volume of ~25 μm × 51 μm × (27~54) μm, considering 32.8° angle between the excitation direction and the stage moving plane. All measurements were taken from distinct cells.
To precisely analyze the 3D ATAC-PALM data, we embedded nano-gold fiducials within the coverslips for drift correction as previously described16. ATAC-PALM Images were taken to construct a 3D volume when the sample was moving along the “s” axis. Individual volumes per acquisition were automatically stored as Tiff stacks, which were then analyzed by in-house scripts written in Matlab. The cylindrical lens introduced astigmatism in the detection path and recorded each isolated single molecule with its ellipticity, thereby encoding the 3D position of each molecule relative to the microscope focal plane. All processing was performed by converting all dimensions to units of xy pixels, which were 100 nm × 100 nm after transformation due to the magnification of the detection objective and tube lens. We estimated the localization precision by calculating the standard deviation of all the localizations coordinates (x, y and z) after the nano-gold fiducial correction. The localization precision is 26±3 nm and 53±5 nm for xy and z, respectively.
Raw 3D ATAC-PALM images were processed following previous published procedures15,16. Specifically, a background image with gray values taken without illumination was subtracted from each frame of the current raw image. Photo-activated images were then filtered by subtracting Gaussian filtered images at two different standards:
(Equation S1) |
Where ⊗ is the convolution operator, and Klow and Khigh represent 5×5 pixel two-dimensional Gaussian function with standard deviation σ=2 (low) and 1 (high):
(Equation S2) |
The local maxima were then determined on these filtered images and the coordinates were estimated and used as the true position of the isolated single molecule.
In order to precisely determine the z position of each isolated localization, cylindrical lens were used and the corresponding astigmatic PSF function could be formulated as a Gaussian function with separate x and y deviations. Importantly, these deviations encoded the relative z-offset of the signal with respect to the focal plane.
(Equation S3) |
Where
Here σx and σy were polynomial function of z. The constants c1~c6 can be fitted by scanning bright and regular beads through the focal plane using piezoelectric stage.
To rigorously compare ATAC-PALM localizations within the nucleus, image stack for H2B-GFP stably expressed in mouse ESCs was captured before the ATAC-PALM experiment under the same Lattice light-sheet Microscopy imaging condition. The image stack of the GFP channel was de-skewed and de-convoluted using the same algorithm to identify a nuclear mask to segment ATAC-PALM signal. The percentage of localizations falling into the same volume in or out of the mask were counted and plotted in Figure S2B. We found that the majority (>95%) of localizations fall into the nuclear H2B mask, suggesting that the manual segmentation based on ATAC-PALM signal intensity is sufficient to distinguish it from out-of-nucleus signal (e.g. mitochondria) or non-specific background.
To derive the ATAC-PALM intensity map in order to compare with HP1-GFP labeled heterochromatin spatial distribution, ATAC-PALM localizations were binned within a cubic of 100 nm with a 3D Gaussian filter and a convolution kernel of 3×3×3.
3D pair auto-correlation function, pair cross-correlation function and Ripley’s function
As described previously46, the pair correlation function g0(r) or radial distribution function measures the probability P of finding a localization of accessible chromatin in a volume element dV at a separation r from another accessible chromatin site:
(Equation S5) |
Where ρ represents the mean density of accessible chromatin in the nucleus.
3D g0(r) was computed by
(Equation S6) |
N is the total number of localizations and V is the 3D nuclear volume. Δr = 50 nm is the binning width used in the analysis. The item 4π(3r2·Δr + 3r·Δr2 + Δr3)/3 represents the shell-shape volume between the search radius from r to r + Δr. The Dirac Delta function is defined by
(Equation S7) |
Where rij represents the pair-wise Euclidean distance between localization point i and j. To eliminate the boundary effect in calculation of g0(r) from a finite 3D volume, we generated gr(r) from uniform distributions with the same localization density in the same volume as real data using the Matlab convex hull function. Accordingly, the final normalized 3D pair auto-correlation function G(r) was calculated by:
(Equation S8) |
Similarly, the 3D pair cross-correlation function c0(r) between localizations of molecule A and those of molecule B can be formulated as
(Equation S9) |
M is the total number of localizations for molecule A and N is the total number of localizations for molecule B. The Dirac Delta function is defined as the same as in Equation S7. Similarly, the final normalized 3D pair auto-correlation function C(r) was calculated by:
(Equation S10) |
cr(r) refers to the pair cross-correlation function calculated from uniform distributions with the same localization density in the same volume as real data used.
Ripley’s K function is a variation of pair correlation function to study point distribution patterns and is defined by the equation:
(Equation S11) |
where its Delta function given by
The K(r) for a random Poisson distribution is πr2. Therefore, its derivative Ripley’s L function is given by
(Equation S12) |
The deviation of L(r) from expected random Poisson distribution can be used to indicate point clustering or dispersion. The further normalized Ripley’s H function
(Equation S13) |
Can be used to estimate the point clustering and domain size47.
Whereas G(r) can be used as bona fide criteria for estimating the clustering effect of a group of spatial localizations, it has to be adjusted regarding the inevitable localization uncertainty of the PSF. If the distribution is purely random, the revised pair auto-correlation GR(r) considering PSF uncertainty is given by
(Equation S14) |
with
(Equation S15) |
where ρ represents the average surface density of molecules, GPSF(r) denotes the correlation of uncertainty in the PSF and σ for standard deviation. The spatial autocorrelation of accessible chromatin can be approximated by an exponential function:
(Equation S16) |
where ε and A denotes the correlation length and amplitude of the accessible chromatin cluster, respectively. The total correlation can be described by
(Equation S17) |
The raw data were fitted by using Equation S17 to derive g(r) and parameters A and ε. The approximated function g(r) was used throughout the paper for pair auto-correlation analysis. Curve fitting was performed using the trust-region method implemented in the Curve Fitting Matlab toolbox.
Since over-counting does not give rise to apparent co-clustering in double label experiments when pair cross-correlation functions are measured48, C(r) can serve as bona fide criteria for estimating the co-clustering effect of spatial localizations from two different channels without additional adjustment.
2D pair cross-correlation function and auto-correlation function
To calculate the spatial cross-correlation between the two-color ATAC localization signal and the heterochromatin HP1α signal, we first converted the localization densities into intensity map via 2D Gaussian blurring. The pair cross-correlation function was then calculated by the fast Fourier transform (FFT) method described previously46.
(Equation S18) |
(Equation S19) |
The is the auto-correlation of a mask matrix that has the value of 1 inside the nucleus used for normalization. Conj[] refers to complex conjugate, ρ1 and ρ2 are the average surface densities (number of localizations divided by the surface area) of images I1 and I2, and Re{} indicates the real part. The fast Fourier transform and its inverse (FFT and FFT−1) were computed by fft2() and ifft2() functions in Matlab, respectively. Cross correlation functions were calculated first by converting the Cartesian coordinates to polar coordinates by Matlab cart2pol() function, binning by radius and by averaging within the assigned bins.
DBSCAN analysis
The density-based clustering algorithm DBSCAN (Density-Based Spatial Clustering of Applications with Noise) was adopted to map and visualize individual local ACDs (core DBSCAN Matlab code from http://yarpiz.com/255/ypml110-dbscan-clustering). The algorithm first finds neighboring data points within a sphere of radius r, and adds them into same group. In parallel, a predefined threshold minimal points (minPts) was used by the algorithm to justify whether any counted group is a cluster. If the number of points within a group is less than the threshold minPts, the data point is classified as noise. As a negative control, we generated uniformly sampled data sets with the same localization density as our ATAC-PALM localizations. We then implemented DBSCAN analysis by using 150 nm as the searching radius (r) (peak radius from the Ripley’s H function analysis) and empirically setting minPts as 10. To reconstruct the iso-surface for each identified ACD, the convex hull which contains the ACD data points was calculated and visualized by using Matlab. The volume of the convex hull was computed, and the normalized cluster radius (calculated from a sphere with equal volume) was estimated and shown in violin plot.
Additional methods involved in this study are included in the Supplementary Note.
Statistical Analysis
Statistical analysis was performed using Origin and GraphPad Prism. Unless stated specifically, data are presented as Mean ± SEM (standard error) with statistical significance (* p < 0.05, ** p < 0.01, *** p <0.001, with the exact p values in the Figure legends). All values of n are provided in the Figure legends. We used non-parametric two-tailed Mann-Whitney U tests unless indicated in the Figure legends.
Extended Data
Supplementary Material
Acknowledgments
We thank Xavier Darzacq, Shasha Chong, Thomas Graham, David McSwiggen, Claudia Cattoglio for critical reading of the manuscript, the Tjian-Darzacq lab members for helpful discussions and Prabuddha Sengupta and Herve Rouault for advice on data analysis. We also thank Deepika Walpita and Kathy Schaefer with assistance for FACS experiments, Damien Alcor for Airyscan Imaging and Melanie Radcliff for assistance. This work is supported by HHMI and the Janelia Visitor Program. Y.F.Q and B.Z. acknowledge support by the National Science Foundation Grants MCB-1715859. H.Y.C acknowledges support by NIH grant P50-HG007735. X.C is supported by Swedish Research Council International Postdoctoral Fellowship (VR-2016- 06794) and Starting grant (VR-2017-02074), Jeanssons foundation (JS2018-0004) and Vleugl grant.
Footnotes
Reporting Summary
Further information on the research design is available in the Life Sciences Reporting Summary linked to this study.
Ethics Declaration: Authors declare no competing interests.
Data availability: The raw and processed next-generation sequencing data was deposited to NCBI GEO with public accession number GSE126112. The source data for Figures and Extended Figures are available online as Source Data. Other data supporting the findings of this study are available from the corresponding authors upon reasonable request.
Code availability: The software for identifying, localizing and plotting single-molecule data is freely available after execution of a research license with HHMI. The codes for the g(r) and DBscan analysis is freely available from https://github.com/ammondongp/3D_ATAC_PALM.
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