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Sleep State Analysis Using Calcium Imaging Data by Non-negative Matrix Factorization

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Artificial Neural Networks and Machine Learning – ICANN 2019: Theoretical Neural Computation (ICANN 2019)

Abstract

Sleep is an essential process for the survival of animals. However, its phenomenon is poorly understood. To understand the phenomenon of sleep, the analysis should be made from the activities of a large number of cortical neurons. Calcium imaging is a recently developed technique that can record a large number of neurons simultaneously, however, it has a disadvantage of low time resolution. In this paper, we aim to discover phenomena which characterize sleep/wake states from calcium imaging data. We made an assumption that groups of neurons become active simultaneously and the neuronal activities of groups differ between sleep and wake states. We used non-negative matrix factorization (NMF) to identify those groups and their neuronal activities in time from calcium imaging data. NMF was used because neural activity can be expressed by the sum of individual neuronal activity and fluorescence intensity data are always positive values. We found that there are certain groups of neurons that behave differently between sleep and wake states.

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References

  1. Breiman, L.: Random forests. Mach. Learn. 45(1), 5–32 (2001). https://doi.org/10.1023/A:1010933404324

    Article  MATH  Google Scholar 

  2. Chen, T.W., et al.: Ultrasensitive fluorescent proteins for imaging neuronal activity. Nature 499(7458), 295–300 (2013). https://doi.org/10.1038/nature12354

    Article  Google Scholar 

  3. Cichocki, A., Zdunek, R., Phan, A.H., Amari, S.: Nonnegative Matrix and Tensor Factorizations. Wiley, Chichester (2009)

    Book  Google Scholar 

  4. Cox, J., Pinto, L., Dan, Y.: Calcium imaging of sleep-wake related neuronal activity in the dorsal pons. Nat. Commun. 7(1), 10763 (2016). https://doi.org/10.1038/ncomms10763

    Article  Google Scholar 

  5. Dayan, E., Cohen, L.G.: Neuroplasticity subserving motor skill learning. Neuron 72(3), 443–54 (2011). https://doi.org/10.1016/j.neuron.2011.10.008

    Article  Google Scholar 

  6. Deboer, T.: Technologies of sleep research. Cell. Mol. Life Sci. 64(10), 1227 (2007). https://doi.org/10.1007/s00018-007-6533-0

    Article  Google Scholar 

  7. Dombeck, D.A., Graziano, M.S., Tank, D.W.: Functional clustering of neurons in motor cortex determined by cellular resolution imaging in awake behaving mice. J. Neurosci. 29(44), 13751–13760 (2009). https://doi.org/10.1523/JNEUROSCI.2985-09.2009

    Article  Google Scholar 

  8. Evarts, E.V.: Temporal patterns of discharge of pyramidal tract neurons during sleep and waking in the monkey. J. Neurophys. 27, 152–71 (1964). https://doi.org/10.1152/jn.1964.27.2.152

    Article  Google Scholar 

  9. Hobson, J.A.: Sleep is of the brain, by the brain and for the brain. Nature 437(7063), 1254–1256 (2005). https://doi.org/10.1038/nature04283

    Article  Google Scholar 

  10. Kanda, T., et al.: Sleep as a biological problem: an overview of frontiers in sleep research. J. Physiol. Sci. 66(1), 1–13 (2016). https://doi.org/10.1007/s12576-015-0414-3

    Article  Google Scholar 

  11. Lee, D.D., Seung, H.S.: Learning the parts of objects by non-negative matrix factorization. Nature 401(6755), 788–791 (1999). https://doi.org/10.1038/44565

    Article  MATH  Google Scholar 

  12. Lin, J.: Divergence measures based on the Shannon entropy. IEEE Trans. Inform. Theory 37(1), 145–151 (1991). https://doi.org/10.1109/18.61115

    Article  MathSciNet  MATH  Google Scholar 

  13. Mishchencko, Y., Vogelstein, J.T., Paninski, L.: A Bayesian approach for inferring neuronal connectivity from calcium fluorescent imaging data. Ann. Appl. Stat. 5(2B), 1229–1261 (2011). https://doi.org/10.1214/09-AOAS303

    Article  MathSciNet  MATH  Google Scholar 

  14. Peters, A.J., Chen, S.X., Komiyama, T.: Emergence of reproducible spatiotemporal activity during motor learning. Nature 510(7504), 263–267 (2014). https://doi.org/10.1038/nature13235

    Article  Google Scholar 

  15. Sjulson, L., Miesenböck, G.: Optical recording of action potentials and other discrete physiological events: a perspective from signal detection theory. Physiology 22(1), 47–55 (2007). https://doi.org/10.1152/physiol.00036.2006

    Article  Google Scholar 

  16. Vogelstein, J.T., Watson, B.O., Packer, A.M., Yuste, R., Jedynak, B., Paninski, L.: Spike inference from calcium imaging using sequential Monte Carlo methods. Biophys. J. 97(2), 636–655 (2009). https://doi.org/10.1016/J.BPJ.2008.08.005

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by Grants-in-Aid for Scientific Research (KAKENHI), Japan Society for the Promotion of Science (JSPS) (Grant Number 16K18358 to T.K.; 26220207 to T.K. and M.Y.; 19K12111 to H.H; 17H06095 to M.Y.); World Premier International Research Center Initiative (WPI), the Ministry of Education, Culture, Sports, Science and Technology (MEXT) (to M.Y.); Core Research for Evolutional Science and Technology (CREST), Japan Science and Technology Agency (JST) (Grant Number JPMJCR1761 to H.H.; JPMJCR1655 to M.Y.); Yamada Research Grant (to T.K.), Takeda Science Foundation (to M.Y.), and Uehara Memorial Foundation (to M.Y.).

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Correspondence to Mizuo Nagayama .

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Nagayama, M. et al. (2019). Sleep State Analysis Using Calcium Imaging Data by Non-negative Matrix Factorization. In: Tetko, I., Kůrková, V., Karpov, P., Theis, F. (eds) Artificial Neural Networks and Machine Learning – ICANN 2019: Theoretical Neural Computation. ICANN 2019. Lecture Notes in Computer Science(), vol 11727. Springer, Cham. https://doi.org/10.1007/978-3-030-30487-4_8

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  • DOI: https://doi.org/10.1007/978-3-030-30487-4_8

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  • Online ISBN: 978-3-030-30487-4

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