Speaker
Description
Brain-wide neural function involves the communication between neural networks from distinct anatomical areas and different evolutionary antiquity, as in the mammal cortico-thalamo-cortical loop formed by S1, M2, and TH [1, 2]. Despite its evident importance, the mechanisms by which the information is relayed in this "inter-area" communication remain hazy. Additionally, it is still unknown how the operation at criticality, a property of neural networks that contributes to their computational capabilities [3-5], integrates into the inter-area picture. Dynamics at criticality can be understood through disordered random networks and entail a wide distribution of correlations and eigenmodes—representing neurons acting in unison—with diverse time scales [6-9]. The orchestrated action of different areas must derive from the evolutionary optimization of networks at criticality in a way that conserves local operation and also allows for efficient inter-area communication. In this work, we explore if the projection neurons between areas belong to a linear subspace of communication composed of modes coupling in a manner that respects the time-scale hierarchy of the local networks. We couple two recurrent networks of linear rate neurons with input noise via the eigenmodes of the connectivity matrices of each network. Preliminary results sending a signal between two real coupled modes show that the transfer function acts as a double low-pass filter with cutoff frequencies depending on the eigenvalues of the modes. Future work will include the connection of an arbitrary number of complex modes and experimental validation of the inter-area connections for the S1-M2-TH loop in mice.
References
[1] Isabelle Ferezou, Florent Haiss, Luc J. Gentet, Rachel Aronoff, Bruno Weber, and Carl C.H. Petersen. Spatiotemporal dynamics of cortical sensorimotor integration in behaving mice. Neuron, 56:907–923, 12 2007.
[2] Zengcai V. Guo, Nuo Li, Daniel Huber, Eran Ophir, Diego Gutnisky, Jonathan T. Ting, Guoping Feng, and Karel Svoboda. Flow of cortical activity underlying a tactile decision in mice. Neuron, 81:179–194, 1 2014.
[3] T. Toyoizumi and L. F. Abbott. Beyond the edge of chaos: Amplification and temporal integration by recurrent networks in the chaotic regime. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 84:051908, 11 2011.
[4] Guillermo B. Morales and Miguel A. Muñoz. Optimal input representation in neural systems at the edge of chaos. Biology, 10:702, 8 2021.
[5] Lorenzo Tiberi, Jonas Stapmanns, Tobias Kühn, Thomas Luu, David Dahmen, and Moritz Helias. Gell-mann-low criticality in neural networks. Physical Review Letters, 128:168301, 4 2022.
[6] Carsen Stringer, Marius Pachitariu, Nicholas Steinmetz, Matteo Carandini, and Kenneth D. Harris. High-dimensional geometry of population responses in visual cortex. Nature, 571:361–365, 7 2019.
[7] David Dahmen, Hannah Bos, and Moritz Helias. Correlated fluctuations in strongly coupled binary networks beyond equilibrium. Physical Review X, 6:031024, 8 2016.
[8] Yu Hu and Haim Sompolinsky. The spectrum of covariance matrices of randomly connected recurrent neuronal networks with linear dynamics. PLOS Computational Biology, 18:e1010327, 7 2022.
[9] David Dahmen, Moritz Layer, Lukas Deutz, Paulina Anna Dąbrowska, Nicole Voges, Michael Von Papen, Thomas Brochier, Alexa Riehle, Markus Diesmann, Sonja Grün, and Moritz Helias. Global organization of neuronal activity only requires unstructured local connectivity. eLife, 11, 1 2022.
| Preferred form of presentation | Poster & advertising flash talk |
|---|---|
| Topic area | Models and applications |
| Keywords | nter-area communication, NEST simulator, second criticality, neural net- works, communication subspace, between-area communication, neuronal dynamics, linear rate neuron |
| Speaker time zone | UTC+2 |
| I agree to the copyright and license terms | Yes |
| I agree to the declaration of honor | Yes |
