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Carlos FLP, Ubirakitan MM, Rodrigues MCA, Aguilar-Domingo M, Herrera-Gutiérrez E, Gómez-Amor J, Copelli M, Carelli PV, Matias FS. Anticipated synchronization in human EEG data: Unidirectional causality with negative phase lag. Phys Rev E 2021; 102:032216. [PMID: 33075996 DOI: 10.1103/physreve.102.032216] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/05/2020] [Accepted: 07/15/2020] [Indexed: 11/07/2022]
Abstract
Understanding the functional connectivity of the brain has become a major goal of neuroscience. In many situations the relative phase difference, together with coherence patterns, has been employed to infer the direction of the information flow. However, it has been recently shown in local field potential data from monkeys the existence of a synchronized regime in which unidirectionally coupled areas can present both positive and negative phase differences. During the counterintuitive regime, called anticipated synchronization (AS), the phase difference does not reflect the causality. Here we investigate coherence and causality at the alpha frequency band (f∼10 Hz) between pairs of electroencephalogram (EEG) electrodes in humans during a GO/NO-GO task. We show that human EEG signals can exhibit anticipated synchronization, which is characterized by a unidirectional influence from an electrode A to an electrode B, but the electrode B leads the electrode A in time. To the best of our knowledge, this is the first verification of AS in EEG signals and in the human brain. The usual delayed synchronization (DS) regime is also present between many pairs. DS is characterized by a unidirectional influence from an electrode A to an electrode B and a positive phase difference between A and B which indicates that the electrode A leads the electrode B in time. Moreover we show that EEG signals exhibit diversity in the phase relations: the pairs of electrodes can present in-phase, antiphase, or out-of-phase synchronization with a similar distribution of positive and negative phase differences.
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Affiliation(s)
| | - Maciel-Monteiro Ubirakitan
- Grupo de Neurodinâmica, Departamento de Fisiologia e Farmacologia, Universidade Federal de Pernambuco, Recife PE 50670-901, Brazil.,Spanish Foundation for Neurometrics Development, Department of Psychophysics & Psychophysiology, 30100, Murcia, Spain
| | - Marcelo Cairrão Araújo Rodrigues
- Grupo de Neurodinâmica, Departamento de Fisiologia e Farmacologia, Universidade Federal de Pernambuco, Recife PE 50670-901, Brazil
| | - Moisés Aguilar-Domingo
- Spanish Foundation for Neurometrics Development, Department of Psychophysics & Psychophysiology, 30100, Murcia, Spain.,Department of Human Anatomy and Psychobiology, Faculty of Psychology, University of Murcia, 30100 Espinardo Campus, Murcia, Spain
| | - Eva Herrera-Gutiérrez
- Department of Developmental and Educational Psychology, Faculty of Psychology, University of Murcia, 30100 Espinardo Campus, Murcia, Spain
| | - Jesús Gómez-Amor
- Department of Human Anatomy and Psychobiology, Faculty of Psychology, University of Murcia, 30100 Espinardo Campus, Murcia, Spain
| | - Mauro Copelli
- Departamento de Física, Universidade Federal de Pernambuco, Recife PE 50670-901, Brazil
| | - Pedro V Carelli
- Departamento de Física, Universidade Federal de Pernambuco, Recife PE 50670-901, Brazil
| | - Fernanda S Matias
- Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas 57072-970 Brazil
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Machado JN, Matias FS. Phase bistability between anticipated and delayed synchronization in neuronal populations. Phys Rev E 2020; 102:032412. [PMID: 33075861 DOI: 10.1103/physreve.102.032412] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/16/2020] [Accepted: 08/26/2020] [Indexed: 06/11/2023]
Abstract
Two dynamical systems unidirectionally coupled in a sender-receiver configuration can synchronize with a nonzero phase lag. In particular, the system can exhibit anticipated synchronization (AS), which is characterized by a negative phase lag, if the receiver also receives a delayed negative self-feedback. Recently, AS was shown to occur between cortical-like neuronal populations in which the self-feedback is mediated by inhibitory synapses. In this biologically plausible scenario, a transition from the usual delayed synchronization (with positive phase lag) to AS can be mediated by the inhibitory conductances in the receiver population. Here we show that depending on the relation between excitatory and inhibitory synaptic conductances the system can also exhibit phase bistability between anticipated and delayed synchronization. Furthermore, we show that the amount of noise at the receiver and the synaptic conductances can mediate the transition from stable phase locking to a bistable regime and eventually to a phase drift. We suggest that our spiking neuronal populations model could be potentially useful to study phase bistability in cortical regions related to bistable perception.
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Affiliation(s)
- Júlio Nunes Machado
- Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas 57072-970, Brazil
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Dalla Porta L, Matias FS, Dos Santos AJ, Alonso A, Carelli PV, Copelli M, Mirasso CR. Exploring the Phase-Locking Mechanisms Yielding Delayed and Anticipated Synchronization in Neuronal Circuits. Front Syst Neurosci 2019; 13:41. [PMID: 31496943 PMCID: PMC6712169 DOI: 10.3389/fnsys.2019.00041] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2019] [Accepted: 08/05/2019] [Indexed: 11/24/2022] Open
Abstract
Synchronization is one of the brain mechanisms allowing the coordination of neuronal activity required in many cognitive tasks. Anticipated Synchronization (AS) is a specific type of out-of-phase synchronization that occurs when two systems are unidirectionally coupled and, consequently, the information is transmitted from the sender to the receiver, but the receiver leads the sender in time. It has been shown that the primate cortex could operate in a regime of AS as part of normal neurocognitive function. However it is still unclear what is the mechanism that gives rise to anticipated synchronization in neuronal motifs. Here, we investigate the synchronization properties of cortical motifs on multiple scales and show that the internal dynamics of the receiver, which is related to its free running frequency in the uncoupled situation, is the main ingredient for AS to occur. For biologically plausible parameters, including excitation/inhibition balance, we found that the phase difference between the sender and the receiver decreases when the free running frequency of the receiver increases. As a consequence, the system switches from the usual delayed synchronization (DS) regime to an AS regime. We show that at three different scales, neuronal microcircuits, spiking neuronal populations and neural mass models, both the inhibitory loop and the external current acting on the receiver mediate the DS-AS transition for the sender-receiver configuration by changing the free running frequency of the receiver. Therefore, we propose that a faster internal dynamics of the receiver system is the main mechanism underlying anticipated synchronization in brain circuits.
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Affiliation(s)
- Leonardo Dalla Porta
- System Neuroscience Group, Institut d'Investigacions Biomèdiques August Pi i Sunyer, Barcelona, Spain
| | - Fernanda S Matias
- Instituto de Física, Universidade Federal de Alagoas, Maceió, Brazil
| | | | - Ana Alonso
- Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC, UIB-CSIC), Palma, Spain
| | - Pedro V Carelli
- Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil
| | - Mauro Copelli
- Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil
| | - Claudio R Mirasso
- Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC, UIB-CSIC), Palma, Spain
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