Abstract
High-speed large-scale 3D imaging of neuronal activity poses a major challenge in neuroscience. Here, we demonstrate intrinsically simultaneous functional imaging of neuronal activity at single neuron resolution for an entire Caenorhabditis elegans as well as for the whole-brain of larval zebrafish. Our technique captures dynamics of spiking neurons in volumes of ~700 μm x 700 μm x 200 μm at 20 Hz and its simplicity makes it an attractive tool for high-speed volumetric calcium imaging.
To understand how sensory inputs are dynamically mapped onto functional activity of neuronal populations and how their processing leads to cognitive functions and behavior, tools for non-invasive interrogation of neuronal circuits with high spatio-temporal resolution are required 1, 2. A number of approaches for 3D neural activity imaging, taking advantage of chemical and genetically encoded fluorescent reporters 3,4 exist. While some or are based on scanning the excitation light in a volume, either sequentially 5-7 or randomly 8, 9, others try to capture 3D image data simultaneously by mapping axial information onto a single lateral plane using a range of approaches 10-14.
Light-field microscopy (LFM) 12 is one such simultaneous 3D imaging method which has been applied to still and in-vitro biological samples 12, 13. In contrast to conventional imaging schemes a light-field microscope captures both the 2D location and 2D angle of the incident light. This is done by placing a microlense array in the native image plane such that sensor pixels capture the rays of the light-field simultaneously. Such 4D light-fields allow the synthesis of a focal stack computationally. Since in LFM single sensor images are used to retrieve the entire 3D volume information, this enables high-speed volumetric acquisition. However, to date, despite its potentially superb temporal resolution, LFM has not been used for any functional biological imaging. This is because capturing the 4D light-field information by a single senor image comes at the cost of reduced spatial resolution and inherent trade-offs between axial imaging range and the spatial and axial resolution12.
Here, we report that neural systems equipped with calcium sensors can be imaged at volume rates of up to 50 Hz and at single neuron resolution, using a 3D deconvolution algorithm 15, 16 applied to LFM. We achieve effective resolutions up to ~1.4 μm and 2.6 μm in the lateral and axial dimensions respectively, inside biological samples. Using Caenorhabditis elegans we demonstrate simultaneous recording of neuronal population activity over a field of view (FOV) of ~350 μm × 350 μm × 30 μm sufficient to capture the dynamics of neurons distributed across its entire nervous system. In particular, we show that the activity of the majority of head ganglia neurons can be recorded simultaneously with selected neurons in the ventral cord. Further, by performing whole-brain Ca2+ imaging in live zebrafish larvae we demonstrate the ability of our technique to capture dynamics of spiking neurons in volumes as large as ~700 μm × 700 μm × 200 μm at 20 Hz. Our light-field deconvolution microscope (LFDM) can be easily integrated into any epi-fluorescence microscope and provides a simple and costeffective approach to obtain high-speed volumetric imaging capabilities.
To realize a LFDM, we placed a microlens array at the image plane of an epifluorescence microscope (Fig. 1a and Methods), which captured the different perspectives of the sample (Fig. 1b) on the camera sensor. To overcome the trade-off between axial and lateral spatial resolution in LFM 12 we exploited aliasing of the recorded data and used computational reconstruction methods based on 3D-deconvolution to effectively obtain improved lateral and axial resolution 15, 16 (see Methods and Supplementary Note 1 & 2 for details).
To evaluate the spatial resolution of our LFDM we imaged sub-diffraction beads and reconstructed the point-spread function (PSF) of our system (Fig. 1b-c). Using a 40× objective we found a resolution of ~1.4 μm (2.6 μm) in the lateral (axial) dimension. To verify the suitability of LFDM for capturing the activity of individual neurons, we imaged a sample consisting of 6 μm-sized fluorescent beads randomly distributed in three dimensions in agarose and compared a conventional focal stack (taken without microlenses) (Fig. 1d-e) with the deconvolved light-field images (Fig. 1f-g).
Using the same objective we were able to image the majority of C. elegans (~350 μm x 350 μm x 30 μm) while maintaining single-neuron resolution (Fig. 2a-c; Supplementary Fig. 1-4 and Supplementary Video 1-5). We could record activity of neurons in the brain region surrounding the nerve ring and the ventral cord at 5 Hz volume rate. We note that our LFDM allows for substantially higher volume rates which we demonstrated by recording unrestrained worms at 50 Hz (Supplementary Fig. 4 and Supplementary Video 3). Such volume rates would in principle be sufficient for performing whole brain imaging in freely moving worms, especially if additional tracking is employed as previously shown for single neurons 17. However, since Ca2+-signals in C. elegans occur typically at timescales of up to 1 Hz, we chose slower volume rates (5 Hz) in order to maximize signal-to-noise and reduce potential photo-bleaching. The wide FOV of LFDM and the intrinsic simultaneity of the acquisition allow to study correlations in activity of far-away neurons, which would not be feasible with other unbiased Ca2+-imaging techniques. In our experiments, we observed correlated and anti-correlated activity patterns between the pre-motor interneurons in the head and motor neurons located along the ventral nerve cord, which connect to body wall muscles according to the wormatlas (Fig. 2a-c). Additionally, the location, morphology and the neuronal activity patterns of some of these neurons allowed us to identify specific pre-motor interneuron classes such as AVA, AVE, RIM, AIB, AVB and A- and B-class motor neurons, that have been associated with motor program selection (Supplementary Fig. 3) 18. AVA neurons have been associated with a switch from forward to backward directed crawling, which depends on A-class motor neurons 19, and is associated with a change in the relative activities of A- and B-class motorneurons 18. Consistent with these findings, we observed a high level of correlation of AVA and A-class motor neuron activity and an anti-correlation in the activity of AVA with B-class motor neuron. Further, we demonstrated that sensory stimulation can be used to identify neuron classes (Supplementary Fig. 3). Morphology, location and activity patterns of these neuron classes match with those of the oxygen chemosensory neurons BAG and URX 5.
We also recorded exclusively from brain regions surrounding the nerve ring (Fig. 2d-f, and Supplementary Fig. 2). Imaging smaller FOVs (~200 μm x 70 μm x 30 μm) leads to faster volume reconstructions and less artifacts stemming from brightly fluorescing cells, such as coelomocytes. Similar to previous findings 5, we were able to resolve up to 74 individual neurons in a typical recording, of which around 30 showed pronounced activity over the recording time of 200 seconds (Fig. 2d-f, and Supplementary Fig. 2).
In order to highlight the temporal resolution and the broader applicability of our technique we performed Ca2+-imaging in live zebrafish larvae brains expressing GCaMP5 pan-neuronally. Employing a 20× objective, we demonstrated wholebrain Ca2+ imaging for volumes spanning ~700 μm × 700 μm × 200 μm at a 20 Hz volume rate. Although in this case optical single-cell resolution had to be compromised in favor of larger FOVs, spatially resolved cellular signals over the entire time series could still be recovered using standard signal extraction and unmixing techniques 20. Implementing this approach we could extract neuronal activity for ~5000 cells across the brain, and follow their fast Ca2+-transients on millisecond timescale (Fig. 3 and Supplementary Video 6). In particular, by applying an aversive odor to the fish we could evoke neuronal activity and infer dynamics of Ca2+-signals across the olfactory system, the midbrain and parts of the hindbrain consistent with previous demonstrations of the neuronal dynamics in these regions 6, 7, 21-23. Our imaging speed, more than an order of magnitude faster than in previous whole-brain functional imaging demonstrations 6, 7, is thus able to reliably capture the dynamic activity of a large number of cells with high spatial and temporal resolution.
In summary, we have implemented a LFDM and demonstrated its ability to simultaneously capture the neuronal activity of the entire nervous system of C. elegans at single cell resolution as well as record dynamics of spiking neurons by performing whole-brain Ca+2 imaging in larval zebrafish at 20 Hz. The increase in spatial resolution compared to LFM was achieved by performing deconvolution during post-processing. The simultaneity of acquisition of volumes in LFDM eliminates spatio-temporal ambiguity associated with sequentially recorded approaches and decouples temporal resolution from volume size. Resolutions in all three dimensions are set by the objective and microlens properties, while FOV and acquisition rate are determined by the camera chip size, frame rates and signal intensity. LFDM is easy to set-up, cost-effective and compatible with standard microscopes. In addition, both the temporal resolution and the obtainable FOVs, make LFDM an attractive technique for future combination with behavioral studies. Thus, we expect that LFDM will find rapid and widespread use within the neuroscience community. Future work will focus on obtaining higher spatial resolutions and larger FOVs as well as faster and more efficient computational reconstruction techniques, both of which of are expected to improve with technological advancements in camera sensors and processors. Finally, the use of red-shifted Ca2+-sensors 24 and the combination of LFDM with techniques for imaging at depth in biological tissue 25 bears further potential for wide-spread use of this method.
Online Methods
Setup
The LFM system is appended to an epi-fluorescence microscope (Zeiss, Axiovert200) equipped with a LED excitation light source (λ = 488nm, 300 mW, CoolLED)and a standard GFP filter set (Zeiss). In all C. elegans imaging experiments, weused a 40× 0.95NA dry objective (Zeiss APOCHROMAT), while zebrafish imagingwas performed with a 20x 0.5NA dry objective (Zeiss Plan-NEOFLUAR). Themicrolens array is mounted inside a 5-axis kinematic mount (Thorlabs) to allowfine adjustment of the array orthogonal to the optics axis, which we found crucialfor high-quality results. The array is further imaged onto a 5.5 Megapixel (2560 x2160 pixels) sCMOS camera (Andor Zyla) utilizing a 1:1 relay macro lensobjective (Nikon AF-S 105mm 2.8 G VR IF-ED Micro) (Fig. 1a). Details on opticaldesign choices and their effect on resolution are discussed in Supplementary Note 1.
C. elegans experiments
To record neuronal activity from C. elegans, we loaded adult worms (one- tofour-egg-stage) expressing nls-GCaMP5K under the punc31-promoter (strainsZIM294 and ZIM617) into a microfluidic channel which was connected to areservoir containing S-Basal buffer with 5 mM tetramisole, an acetylcholinereceptor–specific agonist that mildly paralyzes the animal's muscles to reducemotion 5. The worm was placed off the native focal plane and towards the objective using a piezo stepper motor (PI-721, Physik Instrumente GmbH), suchthat the entire worm was ideally contained in the region spanning -30 μm to 0μm. By doing so we exploited the highest resolution of LFDM while avoidingartifacts near the focal plane. When recording from the head region only, theworm's head ganglia were placed at the center of the FOV and excitation waslimited to this area by the use of an iris in the excitation pathway. For the experiments involving chemosensory stimulation, we followed the procedure described in ref. 5.
Zebrafish larvae experiments
For zebrafish experiments, mitfα–/– larvae with pan-neuronal GCaMP5 expression have been imaged 5-8 dpf (days post fertilization) using stable lines HuC:GCaMP5G and HuC:Gal4/UAS:GCaMP5G, respectively. The fish wereimmobilized by embedding them in 2% agarose with their mouth and tailcleared of agarose to allow for odor stimulation and tail movement. Odorstimulation was performed by manually supplying water containing highly concentrated rotten fish extract into the imaging chamber during recordings.
Light-field deconvolution
The volume reconstruction itself can be formulated as a tomographic inverseproblem 26, where multiple different perspectives of an 3D volume are observed,and linear reconstruction methods–implemented via deconvolution–areemployed for computational 3D volume reconstruction. The image formation inlight-field microscopes involves diffraction from both the objective andmicrolenses. Point spread functions for the deconvolution can be computed fromscalar diffraction theory 27. More details are given in Supplementary Note 2. After recording the raw light-field images, the digital images were cropped toregions of interest and resampled to contain 11 × 11 or 15 × 15 angular lightfieldsamples under each lenslet. Two calibration images, one showing themicrolenses with collimated rear-illumination and one showing a uniformfluorescent slide, were used for digital image rectification, in which camerapixels are assigned to individual microlenses. Reconstruction of each frame of animage sequence took between 2 and 30 minutes, depending on the size of theimage, number of iterations of the deconvolution algorithm, reconstruction method and workstation used. Computational resources are further discussed in Supplementary Note 2.
Ca2+ imaging data analysis
To extract a fluorescence time series for individual neurons from the 4D data,different strategies were employed for C. elegans and zebrafish. For C. elegans,we first applied rigid-body motion correction to each individual z plane movie.We then computed a median-intensity projection through time for each motioncorrectedz plane movie and used a maxima-finding algorithm to identify areas of peaked intensity in each projection. A circular region of interest (ROI) wascreated surrounding each intensity peak, and overlapping ROI areas within z planes were eliminated. ROIs in adjacent z planes within an x-y distance of 7pixels were considered to be a component of the same neuron, up to a maximumof 5 planes, and for each neuron at each time point, the brightest 100 pixels ofthe aggregate of all pixels within the neuron's component ROIs were averaged toproduce a single fluorescence value and de-trended with an exponential decay function to account for photobleaching. For zebrafish, the data was first detrendedbased on the overall intensity of each frame. Then, to reduce time seriesdata, first in-active voxels were discarded based on their time-domain variance.Splitting the volume into smaller sub-volumes further reduced data size. We followed the strategy proposed in reference 20 to extract cellular signals from theCa2+-imaging data. Each sub-volume data underwent PCA/ICA for automated spatial filter extraction where ideally each spatial filter corresponds to thelocation of a neuron 20. After automatically rejecting spatial filters based on sizeand dispersion, we applied the spatial filters to the 4D data to extract their fluorescence intensity. Time-points during which the fish seemed to contract where discarded and replaced with nearest neighbor fluorescence intensities.These contractions typically lasted between 200 ms and 1 sec only and weretemporally very sparse. Therefore we regarded them negligible compared to the overall recording time. Fish which moved substantially during image acquisitionwere discarded from analysis. To extract ΔF/F0, we calculated ΔF/F0 = 100 * (F(t)– F0)/F0, with F0 being the mean fluorescence intensity of each corrected trace.
Supplementary Material
ACKNOWLEDGMENTS
We thank T. Müller, P. Pasierbek, P. Forai, H. Kaplan, M. Molodtsov, K. Tessmar-Raible and F. Schlumm for technical support and loan of equipment, as well as H.Baier (MPL for Neurobiology, Munich) and M. Orger (Champalimaud, Lisbon) forsharing zebrafish lines. The computational results presented have been achievedin part using the Vienna Scientific Cluster (VSC). R.P. acknowledges the VIPSProgram of the Austrian Federal Ministry of Science and Research and the City ofVienna as well as the European Commission (Marie Curie, FP7-PEOPLE-2011-IIF). Y.-G.Y. was supported by Samsung Scholarship. N.P. was supported by anNSF Graduate Fellowship. ESB was supported by the Allen Institute for BrainScience, the MIT Media Lab, the MIT McGovern Institute, NIH 1R01EY023173,the MIT Synthetic Intelligence Project, the IET Harvey Prize, NSF CBET 1053233,the New York Stem Cell Foundation-Robertson Award, NSF CBET 1344219, NIH1DP1NS087724, Google, the NSF Center for Brains Minds and Machines at MIT,and Jeremy and Joyce Wertheimer. The research leading to these results hasreceived funding from the Vienna Science and Technology Fund (WWTF) projectVRG10-11, Human Frontiers Science Program Project RGP0041/2012, ResearchPlatform Quantum Phenomena and Nanoscale Biological Systems (QuNaBioS)and Research Institute of Molecular Pathology (IMP). M.Z. and T.S. receivedfunding from the European Community's Seventh Framework Program(FP7/2007-2013)/ERC grant agreement no. 281869 – elegansNeurocircuits. TheIMP is funded by Boehringer Ingelheim.
Footnotes
AUTHOR CONTRIBUTIONS
R.P. designed microlenses, built imaging system and performed experimentstogether with M.H. Y.-G.Y. designed and wrote 3D-deconvolution software withcontributions from G.W under the guidance of R.R. R.P. and M.H. refined andrebuilt the imaging system and analyzed data together with Y.-G.Y; N.P.implemented and tested LFDM prototype; T.S. generated transgenic animals,provided microfluidic devices and performed cell identifications under theguidance of M.Z., S.K. wrote analysis software. E.S.B. and A.V. conceived and ledproject. R.P., Y.-G.Y. and A.V. wrote the manuscript, with input from all authors.
COMPETING FINANCIAL INTERESTS
The authors declare no competing financial interests.
REFERENCES
- 1.Alivisatos AP, et al. Neuron. 2012;74:970–974. doi: 10.1016/j.neuron.2012.06.006. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 2.Marblestone AH, et al. Front. Comput. Neurosci. 2013;7:34. [Google Scholar]
- 3.Stosiek C, Garaschuk O, Holthoff K, Konnerth A. Proc Natl Acad Sci U S A. 2003;100:7319–7324. doi: 10.1073/pnas.1232232100. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 4.Chen T-W, et al. Nature. 2013;499:295–300. doi: 10.1038/nature12354. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 5.Schrodel T, Prevedel R, Aumayr K, Zimmer M, Vaziri A. Nature Methods. 2013;10:1013–1020. doi: 10.1038/nmeth.2637. [DOI] [PubMed] [Google Scholar]
- 6.Ahrens MB, Keller PJ. Nature Methods. 2013;10:413–420. doi: 10.1038/nmeth.2434. [DOI] [PubMed] [Google Scholar]
- 7.Panier T, et al. Frontiers in neural circuits. 2013;7:65. doi: 10.3389/fncir.2013.00065. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 8.Reddy GD, Kelleher K, Fink R, Saggau P. Nat. Neurosci. 2008;11:713–720. doi: 10.1038/nn.2116. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9.Grewe BF, Langer D, Kasper H, Kampa BM, Helmchen F. Nature Methods. 2010;7:399–391. doi: 10.1038/nmeth.1453. [DOI] [PubMed] [Google Scholar]
- 10.Cheng A, Goncalves JT, Golshani P, Arisaka K, Portera-Cailliau C. Nature Methods. 2011;8:139–158. doi: 10.1038/nmeth.1552. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 11.Abrahamsson S, et al. Nature Methods. 2013;10:60–80. doi: 10.1038/nmeth.2277. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 12.Levoy M, Ng R, Adams A, Footer M, Horowitz M. ACM Trans. Graph. 2006;25:924–934. [Google Scholar]
- 13.Levoy M, Zhang Z, McDowall IJ. Microsc. 2009;235:144–162. doi: 10.1111/j.1365-2818.2009.03195.x. [DOI] [PubMed] [Google Scholar]
- 14.Quirin S, Peterka DS, Yuste R. Optics Express. 2013;21:16007–16021. doi: 10.1364/OE.21.016007. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 15.Agard DA. Annual Review of Biophysics and Bioengineering. 1984;13:191–219. doi: 10.1146/annurev.bb.13.060184.001203. [DOI] [PubMed] [Google Scholar]
- 16.Broxton M, et al. Optics Express. 2013;21:25418–25439. doi: 10.1364/OE.21.025418. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 17.Faumont S, et al. PLoS One. 2011;6:e24666. doi: 10.1371/journal.pone.0024666. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 18.Kawano T, et al. Neuron. 2011;72:572–586. doi: 10.1016/j.neuron.2011.09.005. [DOI] [PubMed] [Google Scholar]
- 19.Chalfie M, et al. The Journal of Neuroscience : the official journal of the Society for Neuroscience. 1985;5:956–964. doi: 10.1523/JNEUROSCI.05-04-00956.1985. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 20.Mukamel EA, Nimmerjahn A, Schnitzer MJ. Neuron. 2009;63:747–760. doi: 10.1016/j.neuron.2009.08.009. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 21.Friedrich RW, Korsching SI. Neuron. 1997;18:737–752. doi: 10.1016/s0896-6273(00)80314-1. [DOI] [PubMed] [Google Scholar]
- 22.Renninger SL, Orger MB. Methods. 2013;62:255–267. doi: 10.1016/j.ymeth.2013.05.016. [DOI] [PubMed] [Google Scholar]
- 23.Jetti Suresh K., Vendrell-Llopis N, Yaksi E. Current biology. 2014;24:434–439. doi: 10.1016/j.cub.2014.01.015. [DOI] [PubMed] [Google Scholar]
- 24.Akerboom J, et al. Frontiers in Molecular Neuroscience 6 2. 2013 doi: 10.3389/fnmol.2013.00002. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 25.Ntziachristos V. Nature Methods. 2010;7:603–614. doi: 10.1038/nmeth.1483. [DOI] [PubMed] [Google Scholar]
- 26.Kak AC, Slaney M. Classics in Applied Mathematics. 2001 ISBN: 978-0-89871-494-4. [Google Scholar]
- 27.Gu M. Advanced Optical Imaging Theory Springer. 1999 ISBN-10: 981402130X. [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.