Abstract
We show that recognizable neural waveforms are reproduced in the model described in previous work. In so doing, we reproduce close matches to certain observed, though filtered, EEG-like measurements in closed mathematical form, to good approximations. Such neural waves represent the responses of individual networks to external and endogenous inputs and are presumably the carriers of the information used to perform computations in actual brains, which are complexes of interconnected networks. Then, we apply these findings to a question arising in short-term memory processing in humans. Namely, we show how the anomalously small number of reliable retrievals from short-term memory found in certain trials of the Sternberg task is related to the relative frequencies of the neural waves involved. This finding justifies the hypothesis of phase-coding, which has been posited as an explanation of this effect.
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Selesnick, S.A.: Quantum-like Networks, An Approach to Neural Behavior Through Their Mathematics and Logic. World Scientific (2022)
Selesnick, S.A., Piccinini, G.: Quantum-like behavior without quantum physics II A quantum-like model of neural network dynamics. J. Biol. Phys. 44, 501–538 (2018). https://doi.org/10.1007/s10867-018-9504-9
Craver, C.F.: Explaining the Brain. Oxford University Press, Oxford (2007)
Hakim, N., Vogel, E.K.: Phase-coding memories in mind. PLoS Biol. 16(8):e3000012 (2018). https://doi.org/10.1371/journal.pbio.300012
Finkelstein, D.: The logic of quantum physics. Trans. NY. Acad. Sci. 25, 621–663 (1963)
Hartle, J.B.: Quantum mechanics of individual systems. Am. J. Phys. 36(8), 704–712 (1968)
Hartle, J. B.: What do we learn by deriving Born’s rule? arXiv:210702297v1 [quant-ph] (2021)
Turrigiano, G.G., Leslie, K.R., Rutherford, L.C., Nelson, S.B.: Activity-dependent scaling of quantal amplitude in neocortical neurons. Nature 391, 892–896 (1998). https://doi.org/10.1038/36103
Turrigiano, G.G.: The dialectic of Hebb and homeostasis. Phil. Trans. R. Soc. B 372: 20160258 (2017). http://dx.dopi.org/10.1098/rstb.2016.0158
Dempsey, W.P., Du, Z., Nadtochiy, A., Smith, C.D., Czajkowski, K., Andreev, A., Robson, D.N., Li, J.M., Applebaum, S., Truong, T.V. Kesselman, C.: Regional synapse gain and loss accompany memory formation in larval Zebrafish. Proc. Natl. Acad. Sci. U.S.A. 3, e2107661119 (2022). https://doi.org/10.1073/pnas2107661119
Yin, L., Zheng, R., Ke, W., He, Q., Zhang, Y., Li, J., Wang, B., Mi, Z., Long, Y.-S., Rasch, M.J., Li, T., Luan, G., Shu, Y.: Autapses enhance bursting and coincidence detection in neocortical pyramidal cells. Nat. Commun. (2018). https://doi.org/10.1038/s41467-018-07317-4
Jiang, M., Zhu, J., Liu, Y., Yang, M., Tian, C., Jiang, S., Wang, Y., Guo, H., Wang, K., Shu, Y.: Enhancement of asynchronous release from fast-spiking interneuron in human and rat epileptic neocortex. PLoS Biol. 10(5):e1001324 (2012). https://doi.org/10.1371/journal.pbio.1001324
Gollo, L.L., Mirasso, C., Sporns, O., Breakspear, M.: Mechanisms of zero-lag synchronization in cortical motifs. PLoS Comput. Biol. 10(4):e1003548 (2014). https://doi.org/10.1371/journal.pcbi.1003548
Andrillon, T., Kouider, S.: Implicit memory for words heard during sleep. Neurosci. Conscious. (2016). https://doi.org/10.1093/nc/niw014
Sporns, O.: Networks of the Brain. The MIT Press, Cambridge and London (2011)
Shang, Q., Pei, G., Wang, X.: Logo effects on brand extension evaluations from the electrophysiological perspective. Front. Neurosci. 11:113 (2017). http://doi.org/10.3389.2017.00113
Bondy, E., Stewart, G.S., Hajcak, G., Weinberg, A., Tarlow, N., Mittai, V.A., Auerbach, R.P. (2018). Emotion processing in female youth: testing the stability of the late positive potential. Psychophysiology 55(2) (2016). http://doi.org/10.1111/psyp.12977
Acknowledgements
Many thanks are owed to Piers Rawling, Ronald Munson, Brian Castle, James Hartle, and Ivan Selesnick for valuable input, and to a pair of referees for their cogent remarks on an earlier version of this paper.
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Selesnick, S. Neural waves and short-term memory in a neural net model. J Biol Phys 49, 159–194 (2023). https://doi.org/10.1007/s10867-023-09627-1
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DOI: https://doi.org/10.1007/s10867-023-09627-1