Abstract
We study the attractor dynamics of a Boolean model of the basal ganglia-thalamocortical network as a function of its interactive synaptic connections and global threshold. We show that the regulation of the interactive feedback and global threshold are significantly involved in the maintenance and robustness of the attractor basin. These results support the hypothesis that, beyond mere structural architecture, global plasticity and interactivity play a crucial role in the computational and dynamical capabilities of biological neural networks.
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Notes
- 1.
The basic attractors of a Boolean network are given by the basic cycles of its corresponding automaton, i.e., the cycles that do not visit the same vertex twice.
References
Abeles, M., Gerstein, G.L.: Detecting spatiotemporal firing patterns among simultaneously recorded single neurons. J. Neurophysiol. 60(3), 909–924 (1988)
Villa, A.E.P., Abeles, M.: Evidence for spatiotemporal firing patterns within the auditory thalamus of the cat. Brain. Res. 509(2), 325–327 (1990)
Villa, A.E.P., Fuster, J.M.: Temporal correlates of information processing during visual short-term memory. Neuroreport 3, 113–116 (1992)
Celletti, A., Villa, A.E.P.: Determination of chaotic attractors in the rat brain. J. Stat. Phys. 84(5), 1379–1385 (1996)
Villa, A.E.P., Tetko, I.V., Celletti, A., Riehle, A.: Chaotic dynamics in the primate motor cortex depend on motor preparation in a reaction-time task. Curr. Psychol. Cogn. 17, 763–780 (1998)
Asai, Y., Villa, A.E.P.: Integration and transmission of distributed deterministic neural activity in feed-forward networks. Brain. Res. 1434, 17–33 (2012)
Iglesias, J., Villa, A.E.P.: Recurrent spatiotemporal firing patterns in large spiking neural networks with ontogenetic and epigenetic processes. J. Physiol. Paris 104(3–4), 137–146 (2010)
Cabessa, J., Villa, A.E.P.: An attractor-based complexity measurement for Boolean recurrent neural networks. PLoS ONE 9(4), e94204 (2014)
McCormick, D.A., Bal, T.: Sleep and arousal: thalamocortical mechanisms. Annu. Rev. Neurosci. 20, 185–215 (1997)
Terman, D., Rubin, J.E., Yew, A.C., Wilson, C.J.: Activity patterns in a model for the subthalamopallidal network of the basal ganglia. J. Neurosci. 22(7), 2963–2976 (2002)
Silkis, I.: A hypothetical role of cortico-basal ganglia-thalamocortical loops in visual processing. Biosystems 89(1–3), 227–235 (2007)
Spiga, S., Lintas, A., Diana, M.: Altered mesolimbic dopamine system in THC dependence. Current Neuropharmacol. 9(1), 200–204 (2011)
Lintas, A.: Discharge properties of neurons recorded in the parvalbumin-positive (PV1) nucleus of the rat lateral hypothalamus. Neurosci. Lett. 571, 29–33 (2014)
Guthrie, M., Leblois, A., Garenne, A., Boraud, T.: Interaction between cognitive and motor cortico-basal ganglia loops during decision making: a computational study. J. Neurophysiol. 109(12), 3025–3040 (2013)
Blitz, D.M., Nusbaum, M.P.: Modulation of circuit feedback specifies motor circuit output. J. Neurosci. 32(27), 9182–9193 (2012)
Kleene, S.C.: Representation of events in nerve nets and finite automata. In: Shannon, C., McCarthy, J. (eds.) Automata Studies, pp. 3–41. Princeton University Press, Princeton (1956)
Minsky, M.L.: Computation: Finite and Infinite Machines. Prentice-Hall Inc., Englewood Cliffs (1967)
McCulloch, W.S., Pitts, W.: A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 5, 115–133 (1943)
Villa, A.E.P., Tetko, I.V.: Spatio-temporal patterns of activity controlled by system parameters in a simulated thalamo-cortical neural network. In: Herrmann, H., Wolf, D., Poppel, E. (eds.) Supercomputing in Brain Research: From Tomography to Neural Networks, pp. 379–388. World Scientific, Singapore (1995)
Levitan, I.B.: Modulation of ion channels in neurons and other cells. Annu. Rev. Neurosci. 11, 119–136 (1988)
Foote, S.L., Morrison, J.H.: Extrathalamic modulation of cortical function. Annu. Rev. Neurosci. 10, 67–95 (1987)
McCormick, D.A., Pape, H.C.: Noradrenergic and serotonergic modulation of a hyperpolarization-activated cation current in thalamic relay neurones. J. Physiol. 431, 319–342 (1990)
Kandel, E.R., Schwartz, J.H., Jessell, T.M., Siegelbaum, S.A., Hudspeth, A.J.: Principles of Neural Science, 5th edn. McGraw-Hill, New York (2012)
Saper, C.B., Lowell, B.B.: The hypothalamus. Curr. Biol. 24(23), R1111–R1116 (2014)
Sesack, S.R., Grace, A.A.: Cortico-basal ganglia reward network: microcircuitry. Neuropsychopharmacology 35(1), 27–47 (2010)
Villa, A.E.P., Lorenzana, V.M.B., Vantini, G.: Nerve growth factor modulates information processing in the auditory thalamus. Brain. Res. Bull. 39(3), 139–147 (1996)
Lopez-Garcia, J.A.: Serotonergic modulation of spinal sensory circuits. Curr. Top. Med. Chem. 6(18), 1987–1996 (2006)
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Cabessa, J., Villa, A.E.P. (2016). Attractor Dynamics Driven by Interactivity in Boolean Recurrent Neural Networks. In: Villa, A., Masulli, P., Pons Rivero, A. (eds) Artificial Neural Networks and Machine Learning – ICANN 2016. ICANN 2016. Lecture Notes in Computer Science(), vol 9886. Springer, Cham. https://doi.org/10.1007/978-3-319-44778-0_14
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