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Disentangling the flow of signals between populations of neurons

Abstract

Technological advances now allow us to record from large populations of neurons across multiple brain areas. These recordings may illuminate how communication between areas contributes to brain function, yet a substantial barrier remains: how do we disentangle the concurrent, bidirectional flow of signals between populations of neurons? We propose here a dimensionality reduction framework, delayed latents across groups (DLAG), that disentangles signals relayed in each direction, identifies how these signals are represented by each population and characterizes how they evolve within and across trials. We demonstrate that DLAG performs well on synthetic datasets similar in scale to current neurophysiological recordings. Then we study simultaneously recorded populations in primate visual areas V1 and V2, where DLAG reveals signatures of bidirectional yet selective communication. Our framework lays a foundation for dissecting the intricate flow of signals across populations of neurons, and how this signalling contributes to cortical computation.

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Fig. 1: Disentangling the flow of signals between populations of neurons.
Fig. 2: DLAG conceptual illustration.
Fig. 3: Estimates of within- and across-area time courses and their parameters in synthetic data.
Fig. 4: Simultaneous population recordings in V1 and V2.
Fig. 5: Representative DLAG time courses for inter- and intra-areal analyses (same dataset as shown in Fig. 4b).
Fig. 6: Uncovering properties of V1–V2 interactions with DLAG.

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Data availability

V1–V2 data are available at the CRCNS data sharing website at https://doi.org/10.6080/K0B27SHN (ref. 70). Naturalistic texture images are available on the Multiband Texture Database at http://multibandtexture.recherche.usherbrooke.ca/original_brodatz.html and on the Salzburg Texture Image Database at https://wavelab.at/sources/STex. Source Data for Figs. 3–6 are available for this Article.

Code availability

A MATLAB implementation of DLAG is available on GitHub at https://github.com/egokcen/DLAG and on Zenodo at https://doi.org/10.5281/zenodo.6654831 (ref. 71).

References

  1. Ahrens, M. B. et al. Brain-wide neuronal dynamics during motor adaptation in zebrafish. Nature 485, 471–477 (2012).

    Article  Google Scholar 

  2. Yang, W. & Yuste, R. In vivo imaging of neural activity. Nat. Methods 14, 349–359 (2017).

    Article  Google Scholar 

  3. Jun, J. J. et al. Fully integrated silicon probes for high-density recording of neural activity. Nature 551, 232–236 (2017).

    Google Scholar 

  4. Steinmetz, N. A., Zatka-Haas, P., Carandini, M. & Harris, K. D. Distributed coding of choice, action and engagement across the mouse brain. Nature 576, 266–273 (2019).

    Article  Google Scholar 

  5. Kohn, A. et al. Principles of corticocortical communication: proposed schemes and design considerations. Trends Neurosci. 43, 725–737 (2020).

    Article  Google Scholar 

  6. Lamme, V. A., Supèr, H. & Spekreijse, H. Feedforward, horizontal, and feedback processing in the visual cortex. Curr. Opin. Neurobiol. 8, 529–535 (1998).

    Article  Google Scholar 

  7. Angelucci, A. & Bressloff, P. C. Contribution of feedforward, lateral and feedback connections to the classical receptive field center and extra-classical receptive field surround of primate V1 neurons. Prog. Brain Res. 154, 93–120 (2006).

    Article  Google Scholar 

  8. Gilbert, C. D. & Li, W. Top-down influences on visual processing. Nat. Rev. Neurosci. 14, 350–363 (2013).

    Article  Google Scholar 

  9. Harris, K. D. & Mrsic-Flogel, T. D. Cortical connectivity and sensory coding. Nature 503, 51–58 (2013).

    Article  Google Scholar 

  10. Miller, E. K., Lundqvist, M. & Bastos, A. M. Working Memory 2.0. Neuron 100, 463–475 (2018).

    Article  Google Scholar 

  11. Shadmehr, R. & Krakauer, J. W. A computational neuroanatomy for motor control. Exp. Brain Res. 185, 359–381 (2008).

    Article  Google Scholar 

  12. Keemink, S. W. & Machens, C. K. Decoding and encoding (de)mixed population responses. Curr. Opin. Neurobiol. 58, 112–121 (2019).

    Article  Google Scholar 

  13. Schmolesky, M. T. et al. Signal timing across the macaque visual system. J. Neurophysiol. 79, 3272–3278 (1998).

    Article  Google Scholar 

  14. Hernández, A. et al. Decoding a perceptual decision process across cortex. Neuron 66, 300–314 (2010).

    Article  Google Scholar 

  15. Siegel, M., Buschman, T. J. & Miller, E. K. Cortical information flow during flexible sensorimotor decisions. Science 348, 1352–1355 (2015).

    Article  Google Scholar 

  16. Supèr, H., Spekreijse, H. & Lamme, V. A. F. Two distinct modes of sensory processing observed in monkey primary visual cortex (V1). Nat. Neurosci. 4, 304–310 (2001).

    Article  Google Scholar 

  17. Pooresmaeili, A., Poort, J. & Roelfsema, P. R. Simultaneous selection by object-based attention in visual and frontal cortex. Proc. Natl Acad. Sci. USA 111, 6467–6472 (2014).

    Article  Google Scholar 

  18. Chen, M. et al. Incremental integration of global contours through interplay between visual cortical areas. Neuron 82, 682–694 (2014).

    Article  Google Scholar 

  19. Schwiedrzik, C. M. & Freiwald, W. A. High-level prediction signals in a low-level area of the macaque face-processing hierarchy. Neuron 96, 89–97 (2017).

    Article  Google Scholar 

  20. Issa, E. B., Cadieu, C. F. & DiCarlo, J. J. Neural dynamics at successive stages of the ventral visual stream are consistent with hierarchical error signals. eLife 7, e42870 (2018).

    Article  Google Scholar 

  21. Reid, R. C. & Alonso, J. M. Specificity of monosynaptic connections from thalamus to visual cortex. Nature 378, 281–284 (1995).

    Article  Google Scholar 

  22. Roe, A. W. & Ts’o, D. Y. Specificity of color connectivity between primate V1 and V2. J. Neurophysiol. 82, 2719–2730 (1999).

    Article  Google Scholar 

  23. Nowak, L. G., Munk, M., James, A. C., Girard, P. & Bullier, J. Cross-correlation study of the temporal interactions between areas V1 and V2 of the macaque monkey. J. Neurophysiol. 81, 1057–1074 (1999).

    Article  Google Scholar 

  24. Jia, X., Tanabe, S. & Kohn, A. Gamma and the coordination of spiking activity in early visual cortex. Neuron 77, 762–774 (2013).

    Article  Google Scholar 

  25. Oemisch, M., Westendorff, S., Everling, S. & Womelsdorf, T. Interareal spike-train correlations of anterior cingulate and dorsal prefrontal cortex during attention shifts. J. Neurosci. 35, 13076–13089 (2015).

    Article  Google Scholar 

  26. Zandvakili, A. & Kohn, A. Coordinated neuronal activity enhances corticocortical communication. Neuron 87, 827–839 (2015).

    Article  Google Scholar 

  27. Campo, A. T. et al. Feed-forward information and zero-lag synchronization in the sensory thalamocortical circuit are modulated during stimulus perception. Proc. Natl Acad. Sci. USA 116, 7513–7522 (2019).

    Article  Google Scholar 

  28. Gregoriou, G. G., Gotts, S. J., Zhou, H. & Desimone, R. High-frequency, long-range coupling between prefrontal and visual cortex during attention. Science 324, 1207–1210 (2009).

    Article  Google Scholar 

  29. Salazar, R. F., Dotson, N. M., Bressler, S. L. & Gray, C. M. Content-specific fronto-parietal synchronization during visual working memory. Science 338, 1097–1100 (2012).

    Article  Google Scholar 

  30. van Kerkoerle, T. et al. Alpha and gamma oscillations characterize feedback and feedforward processing in monkey visual cortex. Proc. Natl Acad. Sci. USA 111, 14332–14341 (2014).

    Article  Google Scholar 

  31. Bastos, A. M., Vezoli, J. & Fries, P. Communication through coherence with inter-areal delays. Curr. Opin. Neurobiol. 31, 173–180 (2015).

    Article  Google Scholar 

  32. Semedo, J. D., Gokcen, E., Machens, C. K., Kohn, A. & Yu, B. M. Statistical methods for dissecting interactions between brain areas. Curr. Opin. Neurobiol. 65, 59–69 (2020).

    Article  Google Scholar 

  33. Kang, B. & Druckmann, S. Approaches to inferring multi-regional interactions from simultaneous population recordings. Curr. Opin. Neurobiol. 65, 108–119 (2020).

    Article  Google Scholar 

  34. Keeley, S. L., Zoltowski, D. M., Aoi, M. C. & Pillow, J. W. Modeling statistical dependencies in multi-region spike train data. Curr. Opin. Neurobiol. 65, 194–202 (2020).

    Article  Google Scholar 

  35. Kaufman, M. T., Churchland, M. M., Ryu, S. I. & Shenoy, K. V. Cortical activity in the null space: permitting preparation without movement. Nat. Neurosci. 17, 440–448 (2014).

    Article  Google Scholar 

  36. Semedo, J. D., Zandvakili, A., Machens, C. K., Yu, B. M. & Kohn, A. Cortical areas interact through a communication subspace. Neuron 102, 249–259 (2019).

    Article  Google Scholar 

  37. Perich, M. G., Gallego, J. A. & Miller, L. E. A neural population mechanism for rapid learning. Neuron 100, 964–976 (2018).

    Article  Google Scholar 

  38. Srinath, R., Ruff, D. A. & Cohen, M. R. Attention improves information flow between neuronal populations without changing the communication subspace. Curr. Biol. 31, 5299–5313 (2021).

    Article  Google Scholar 

  39. Veuthey, T. L., Derosier, K., Kondapavulur, S. & Ganguly, K. Single-trial cross-area neural population dynamics during long-term skill learning. Nat. Commun. 11, 4057 (2020).

    Article  Google Scholar 

  40. Chen, G., Kang, B., Lindsey, J., Druckmann, S. & Li, N. Modularity and robustness of frontal cortical networks. Cell 184, 3717–3730 (2021).

    Article  Google Scholar 

  41. Semedo, J. D. et al. Feedforward and feedback interactions between visual cortical areas use different population activity patterns. Nat. Commun. 13, 1099 (2022).

    Article  Google Scholar 

  42. Bach, F. R. & Jordan, M. I. A Probabilistic Interpretation of Canonical Correlation Analysis Technical Report 688 (Department of Statistics, University of California, Berkeley, 2005).

  43. Archambeau, C. & Bach, F. Sparse probabilistic projections. Adv. Neural Inf. Process. Syst. 21, 73–80 (2008).

    Google Scholar 

  44. Yu, B. M. et al. Gaussian-process factor analysis for low-dimensional single-trial analysis of neural population activity. J. Neurophysiol. 102, 614–635 (2009).

    Article  Google Scholar 

  45. Lakshmanan, K. C., Sadtler, P. T., Tyler-Kabara, E. C., Batista, A. P. & Yu, B. M. Extracting low-dimensional latent structure from time series in the presence of delays. Neural Comput. 27, 1825–1856 (2015).

    Article  MathSciNet  MATH  Google Scholar 

  46. Felleman, D. J. & Van Essen, D. C. Distributed hierarchical processing in the primate cerebral cortex. Cereb. Cortex 1, 1–47 (1991).

  47. Markov, N. T. et al. Cortical high-density counterstream architectures. Science 342, 1238406 (2013).

    Article  Google Scholar 

  48. Smith, M. A., Kohn, A. & Movshon, J. A. Glass pattern responses in macaque V2 neurons. J. Vision 7, 5 (2007).

    Article  Google Scholar 

  49. Murray, J. D. et al. A hierarchy of intrinsic timescales across primate cortex. Nat. Neurosci. 17, 1661–1663 (2014).

    Article  Google Scholar 

  50. Runyan, C. A., Piasini, E., Panzeri, S. & Harvey, C. D. Distinct timescales of population coding across cortex. Nature 548, 92–96 (2017).

    Article  Google Scholar 

  51. Siegle, J. H. et al. Survey of spiking in the mouse visual system reveals functional hierarchy. Nature 592, 86–92 (2021).

    Google Scholar 

  52. Zhuang, X., Yang, Z. & Cordes, D. A technical review of canonical correlation analysis for neuroscience applications. Hum. Brain Mapp. 41, 3807–3833 (2020).

    Article  Google Scholar 

  53. Kamiński, M., Ding, M., Truccolo, W. A. & Bressler, S. L. Evaluating causal relations in neural systems: Granger causality, directed transfer function and statistical assessment of significance. Biol. Cybern. 85, 145–157 (2001).

    Article  MATH  Google Scholar 

  54. Quinn, C. J., Coleman, T. P., Kiyavash, N. & Hatsopoulos, N. G. Estimating the directed information to infer causal relationships in ensemble neural spike train recordings. J. Comput. Neurosci. 30, 17–44 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  55. Kim, S., Putrino, D., Ghosh, S. & Brown, E. N. A Granger causality measure for point process models of ensemble neural spiking activity. PLoS Comput. Biol. 7, e1001110 (2011).

    Article  MathSciNet  Google Scholar 

  56. Pillow, J. W. et al. Spatio-temporal correlations and visual signalling in a complete neuronal population. Nature 454, 995–999 (2008).

    Article  Google Scholar 

  57. Truccolo, W., Hochberg, L. R. & Donoghue, J. P. Collective dynamics in human and monkey sensorimotor cortex: predicting single neuron spikes. Nat. Neurosci. 13, 105–111 (2010).

    Article  Google Scholar 

  58. Perich, M. G. et al. Inferring brain-wide interactions using data-constrained recurrent neural network models. Preprint at https://doi.org/10.1101/2020.12.18.423348 (2021).

  59. Rodu, J., Klein, N., Brincat, S. L., Miller, E. K. & Kass, R. E. Detecting multivariate cross-correlation between brain regions. J. Neurophysiol. 120, 1962–1972 (2018).

    Article  Google Scholar 

  60. Bong, H. et al. Latent dynamic factor analysis of high-dimensional neural recordings. Adv. Neural Inf. Process. Syst. 33, 16446–16456 (2020).

    Google Scholar 

  61. Keeley, S., Aoi, M., Yu, Y., Smith, S. & Pillow, J. W. Identifying signal and noise structure in neural population activity with Gaussian process factor models. Adv. Neural Inf. Process. Syst. 33, 13795–13805 (2020).

    Google Scholar 

  62. Semedo, J., Zandvakili, A., Kohn, A., Machens, C. K. & Yu, B. M. Extracting latent structure from multiple interacting neural populations. Adv. Neural Inf. Process. Syst. 27, 2942–2950 (2014).

    Google Scholar 

  63. Glaser, J., Whiteway, M., Cunningham, J. P., Paninski, L. & Linderman, S. Recurrent switching dynamical systems models for multiple interacting neural populations. Adv. Neural Inf. Process. Syst. 33, 14867–14878 (2020).

    Google Scholar 

  64. Reid, A. T. et al. Advancing functional connectivity research from association to causation. Nat. Neurosci. 22, 1751–1760 (2019).

    Article  Google Scholar 

  65. Rasmussen, C. E. & Williams, C. K. I. Gaussian Processes for Machine Learning (MIT Press, 2006).

  66. Golub, G. H. & Van Loan, C. F. Matrix Computations 4th edn (Johns Hopkins Univ. Press, 2013).

  67. Smith, M. A. & Kohn, A. Spatial and temporal scales of neuronal correlation in primary visual cortex. J. Neurosci. 28, 12591–12603 (2008).

    Article  Google Scholar 

  68. Cowley, B. R. et al. Slow drift of neural activity as a signature of impulsivity in macaque visual and prefrontal cortex. Neuron 108, 551–567 (2020).

    Article  Google Scholar 

  69. Pei, F. et al. Neural Latents Benchmark ’21: evaluating latent variable models of neural population activity. Preprint at https://doi.org/10.48550/arXiv.2109.04463 (2022).

  70. Zandvakili, A. & Kohn, A. Simultaneous V1–V2 neuronal population recordings in anesthetized macaque monkeys. CRCNS https://doi.org/10.6080/K0B27SHN (2019).

  71. Gokcen, E. egokcen/DLAG: v1.0.0. Zenodo https://doi.org/10.5281/zenodo.6654831 (2022).

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Acknowledgements

This work was supported by the Dowd Fellowship (E.G.), Simons Collaboration on the Global Brain 542999 (A.K.), 543009 (C.K.M.), 543065 (B.M.Y.), 364994 (A.K., B.M.Y.), NIH R01 EY028626 (A.K.), NIH U01 NS094288 (C.K.M.), NIH R01 HD071686 (B.M.Y.), NIH CRCNS R01 NS105318 (B.M.Y.), NSF NCS BCS 1533672 and 1734916 (B.M.Y.), NIH CRCNS R01 MH118929 (B.M.Y.) and NIH R01 EB026953 (B.M.Y.).

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E.G., A.I.J., J.D.S., A.K., C.K.M. and B.M.Y. designed the analyses. E.G. derived and implemented DLAG, and performed all analyses. A.I.J., A.Z. and A.K. designed and performed the experiments. E.G., A.I.J., A.K., C.K.M. and B.M.Y. wrote the manuscript. All authors discussed the results and commented on the manuscript.

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Correspondence to Byron M. Yu.

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Nature Computational Science thanks Matthew Kaufman, Stephen Keeley, Stefano Recanatesi and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Primary Handling Editor: Ananya Rastogi, in collaboration with the Nature Computational Science team.

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Gokcen, E., Jasper, A.I., Semedo, J.D. et al. Disentangling the flow of signals between populations of neurons. Nat Comput Sci 2, 512–525 (2022). https://doi.org/10.1038/s43588-022-00282-5

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