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Lotfi N, Fontenele AJ, Feliciano T, Aguiar LAA, de Vasconcelos NAP, Soares-Cunha C, Coimbra B, Rodrigues AJ, Sousa N, Copelli M, Carelli PV. Signatures of brain criticality unveiled by maximum entropy analysis across cortical states. Phys Rev E 2021; 102:012408. [PMID: 32795006 DOI: 10.1103/physreve.102.012408] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2020] [Accepted: 07/01/2020] [Indexed: 11/07/2022]
Abstract
It has recently been reported that statistical signatures of brain criticality, obtained from distributions of neuronal avalanches, can depend on the cortical state. We revisit these claims with a completely different and independent approach, employing a maximum entropy model to test whether signatures of criticality appear in urethane-anesthetized rats. To account for the spontaneous variation of cortical states, we parse the time series and perform the maximum entropy analysis as a function of the variability of the population spiking activity. To compare data sets with different numbers of neurons, we define a normalized distance to criticality that takes into account the peak and width of the specific heat curve. We found a universal collapse of the normalized distance to criticality dependence on the cortical state, on an animal by animal basis. This indicates a universal dynamics and a critical point at an intermediate value of spiking variability.
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Affiliation(s)
- Nastaran Lotfi
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE 50670-901, Brazil
| | - Antonio J Fontenele
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE 50670-901, Brazil
| | - Thaís Feliciano
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE 50670-901, Brazil
| | - Leandro A A Aguiar
- Departamento de Física, Universidade Federal de Pernambuco, Recife, PE 50670-901, Brazil
| | - Nivaldo A P de Vasconcelos
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga, 4710-057, Portugal.,ICVS/3B's-PT Government Associate Laboratory, Braga/Guimarães, 4806-909, Portugal
| | - Carina Soares-Cunha
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga, 4710-057, Portugal.,ICVS/3B's-PT Government Associate Laboratory, Braga/Guimarães, 4806-909, Portugal
| | - Bárbara Coimbra
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga, 4710-057, Portugal.,ICVS/3B's-PT Government Associate Laboratory, Braga/Guimarães, 4806-909, Portugal
| | - Ana João Rodrigues
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga, 4710-057, Portugal.,ICVS/3B's-PT Government Associate Laboratory, Braga/Guimarães, 4806-909, Portugal
| | - Nuno Sousa
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga, 4710-057, Portugal.,ICVS/3B's-PT Government Associate Laboratory, Braga/Guimarães, 4806-909, Portugal
| | - 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
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2
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Carvalho TTA, Fontenele AJ, Girardi-Schappo M, Feliciano T, Aguiar LAA, Silva TPL, de Vasconcelos NAP, Carelli PV, Copelli M. Subsampled Directed-Percolation Models Explain Scaling Relations Experimentally Observed in the Brain. Front Neural Circuits 2021; 14:576727. [PMID: 33519388 PMCID: PMC7843423 DOI: 10.3389/fncir.2020.576727] [Citation(s) in RCA: 25] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/26/2020] [Accepted: 11/30/2002] [Indexed: 12/14/2022] Open
Abstract
Recent experimental results on spike avalanches measured in the urethane-anesthetized rat cortex have revealed scaling relations that indicate a phase transition at a specific level of cortical firing rate variability. The scaling relations point to critical exponents whose values differ from those of a branching process, which has been the canonical model employed to understand brain criticality. This suggested that a different model, with a different phase transition, might be required to explain the data. Here we show that this is not necessarily the case. By employing two different models belonging to the same universality class as the branching process (mean-field directed percolation) and treating the simulation data exactly like experimental data, we reproduce most of the experimental results. We find that subsampling the model and adjusting the time bin used to define avalanches (as done with experimental data) are sufficient ingredients to change the apparent exponents of the critical point. Moreover, experimental data is only reproduced within a very narrow range in parameter space around the phase transition.
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Affiliation(s)
- Tawan T A Carvalho
- Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil
| | | | - Mauricio Girardi-Schappo
- Department of Physics, University of Ottawa, Ottawa, ON, Canada.,Departamento de Física, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Ribeirão Preto, Brazil
| | - Thaís Feliciano
- Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil
| | - Leandro A A Aguiar
- Departamento de Ciências Fundamentais e Sociais, Universidade Federal da Paraíba, Areia, Brazil
| | - Thais P L Silva
- Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil
| | - Nivaldo A P de Vasconcelos
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga, Portugal.,Life and Health Sciences Research Institute/Biomaterials, Biodegradables and Biomimetics, Braga, Portugal
| | - Pedro V Carelli
- Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil
| | - Mauro Copelli
- Departamento de Física, Universidade Federal de Pernambuco, Recife, Brazil
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Aguiar LA, de Vasconcelos NAP, Tunes GC, Fontenele AJ, de Albuquerque Nogueira R, Reyes MB, Carelli PV. Low-cost open hardware system for behavioural experiments simultaneously with electrophysiological recordings. HARDWAREX 2020; 8:e00132. [PMID: 35498270 PMCID: PMC9041193 DOI: 10.1016/j.ohx.2020.e00132] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
A major frontier in neuroscience is to find neural correlates of perception, learning, decision making, and a variety of other types of behavior. In the last decades, modern devices allow simultaneous recordings of different operant responses and the electrical activity of large neuronal populations. However, the commercially available instruments for studying operant conditioning are expensive, and the design of low-cost chambers has emerged as an appealing alternative to resource-limited laboratories engaged in animal behavior. In this article, we provide a full description of a platform that records the operant behavior and synchronizes it with the electrophysiological activity. The programming of this platform is open source, flexible, and adaptable to a wide range of operant conditioning tasks. We also show results of operant conditioning experiments with freely moving rats with simultaneous electrophysiological recordings.
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Affiliation(s)
- Leandro A.A. Aguiar
- Departamento de Morfologia e Fisiologia Animal, Universidade Federal Rural de Pernambuco, Recife, PE 52171-900, Brazil
- Physics Department, Federal University of Pernambuco, Recife, PE 50670-901, Brazil
- Departamenteo de Ciências Fundamentais e Sociais, Universidade Federal da Paraíba, Areia, PB, Brazil
| | - Nivaldo A P de Vasconcelos
- Physics Department, Federal University of Pernambuco, Recife, PE 50670-901, Brazil
- Department of Biomedical Engineering, Federal University of Pernambuco, Recife, PE 50670-901, Brazil
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga 4710-057, Portugal
- ICVS/3B’s – PT Government Associate Laboratory, Braga/Guimarães 4806-909, Portugal
| | - Gabriela Chiuffa Tunes
- Center for Mathematics, Computing and Cognition, Universidade Federal do ABC, Santo André, SP 09210-580, Brazil
| | - Antonio J. Fontenele
- Physics Department, Federal University of Pernambuco, Recife, PE 50670-901, Brazil
| | | | - Marcelo Bussotti Reyes
- Center for Mathematics, Computing and Cognition, Universidade Federal do ABC, Santo André, SP 09210-580, Brazil
| | - Pedro V. Carelli
- Physics Department, Federal University of Pernambuco, Recife, PE 50670-901, Brazil
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Freche D, Naim-Feil J, Hess S, Peled A, Grinshpoon A, Moses E, Levit-Binnun N. Phase-Amplitude Markers of Synchrony and Noise: A Resting-State and TMS-EEG Study of Schizophrenia. Cereb Cortex Commun 2020; 1:tgaa013. [PMID: 34296092 PMCID: PMC8152916 DOI: 10.1093/texcom/tgaa013] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2020] [Accepted: 04/30/2020] [Indexed: 01/01/2023] Open
Abstract
The electroencephalogram (EEG) of schizophrenia patients is known to exhibit a reduction of signal-to-noise ratio and of phase locking, as well as a facilitation of excitability, in response to a variety of external stimuli. Here, we demonstrate these effects in transcranial magnetic stimulation (TMS)-evoked potentials and in the resting-state EEG. To ensure veracity, we used 3 weekly sessions and analyzed both resting-state and TMS-EEG data. For the TMS responses, our analysis verifies known results. For the resting state, we introduce the methodology of mean-normalized variation to the EEG analysis (quartile-based coefficient of variation), which allows for a comparison of narrow-band EEG amplitude fluctuations to narrow-band Gaussian noise. This reveals that amplitude fluctuations in the delta, alpha, and beta bands of healthy controls are different from those in schizophrenia patients, on time scales of tens of seconds. We conclude that the EEG-measured cortical activity patterns of schizophrenia patients are more similar to noise, both in alpha- and beta-resting state and in TMS responses. Our results suggest that the ability of neuronal populations to form stable, locally, and temporally correlated activity is reduced in schizophrenia, a conclusion, that is, in accord with previous experiments on TMS-EEG and on resting-state EEG.
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Affiliation(s)
- Dominik Freche
- Sagol Center of Brain and Mind, Ivcher School of Psychology, Interdisciplinary Center (IDC), Herzliya 4610101, Israel
- Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Jodie Naim-Feil
- Sagol Center of Brain and Mind, Ivcher School of Psychology, Interdisciplinary Center (IDC), Herzliya 4610101, Israel
- Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel
- Turner Institute for Brain and Mental Health, School of Psychological Sciences and Monash Biomedical Imaging, Monash University, Clayton 3800, Australia
| | - Shmuel Hess
- Geha Mental Health Center, Petah Tikvah 49100, Israel
- Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv 6997801, Israel
| | - Avraham Peled
- Rappaport Faculty of Medicine, Technion, Haifa 3200003, Israel
- Institute for Psychiatric Studies, Shaar Menashe Mental Health Center, Menashe 38814, Pardes Hanna-Karkur, Israel
| | - Alexander Grinshpoon
- Rappaport Faculty of Medicine, Technion, Haifa 3200003, Israel
- Institute for Psychiatric Studies, Shaar Menashe Mental Health Center, Menashe 38814, Pardes Hanna-Karkur, Israel
| | - Elisha Moses
- Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel
| | - Nava Levit-Binnun
- Sagol Center of Brain and Mind, Ivcher School of Psychology, Interdisciplinary Center (IDC), Herzliya 4610101, Israel
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5
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Fontenele AJ, de Vasconcelos NAP, Feliciano T, Aguiar LAA, Soares-Cunha C, Coimbra B, Dalla Porta L, Ribeiro S, Rodrigues AJ, Sousa N, Carelli PV, Copelli M. Criticality between Cortical States. PHYSICAL REVIEW LETTERS 2019; 122:208101. [PMID: 31172737 DOI: 10.1103/physrevlett.122.208101] [Citation(s) in RCA: 97] [Impact Index Per Article: 19.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/06/2018] [Revised: 02/18/2019] [Indexed: 05/21/2023]
Abstract
Since the first measurements of neuronal avalanches, the critical brain hypothesis has gained traction. However, if the brain is critical, what is the phase transition? For several decades, it has been known that the cerebral cortex operates in a diversity of regimes, ranging from highly synchronous states (with higher spiking variability) to desynchronized states (with lower spiking variability). Here, using both new and publicly available data, we test independent signatures of criticality and show that a phase transition occurs in an intermediate value of spiking variability, in both anesthetized and freely moving animals. The critical exponents point to a universality class different from mean-field directed percolation. Importantly, as the cortex hovers around this critical point, the avalanche exponents follow a linear relation that encompasses previous experimental results from different setups and is reproduced by a model.
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Affiliation(s)
- Antonio J Fontenele
- Physics Department, Federal University of Pernambuco (UFPE), Recife, PE 50670-901, Brazil
| | - Nivaldo A P de Vasconcelos
- Physics Department, Federal University of Pernambuco (UFPE), Recife, PE 50670-901, Brazil
- Department of Biomedical Engineering, Federal University of Pernambuco, Recife, PE 50670-901, Brazil
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga 4710-057, Portugal
- ICVS/3Bs-PT Government Associate Laboratory, 4806-909, Braga/Guimarães, Portugal
| | - Thaís Feliciano
- Physics Department, Federal University of Pernambuco (UFPE), Recife, PE 50670-901, Brazil
| | - Leandro A A Aguiar
- Physics Department, Federal University of Pernambuco (UFPE), Recife, PE 50670-901, Brazil
- Departamento de Morfologia e Fisiologia Animal, Universidade Federal Rural de Pernambuco (UFRPE), Recife, PE 52171-900, Brazil
| | - Carina Soares-Cunha
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga 4710-057, Portugal
- ICVS/3Bs-PT Government Associate Laboratory, 4806-909, Braga/Guimarães, Portugal
| | - Bárbara Coimbra
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga 4710-057, Portugal
- ICVS/3Bs-PT Government Associate Laboratory, 4806-909, Braga/Guimarães, Portugal
| | - Leonardo Dalla Porta
- Physics Department, Federal University of Pernambuco (UFPE), Recife, PE 50670-901, Brazil
- Systems Neuroscience, Institut dInvestigacions Biomèdiques August Pi i Sunyer (IDIBAPS), 08036, Barcelona, Spain
| | - Sidarta Ribeiro
- Brain Institute, Federal University of Rio Grande do Norte (UFRN), Natal, RN 59056-450, Brazil
| | - Ana João Rodrigues
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga 4710-057, Portugal
- ICVS/3Bs-PT Government Associate Laboratory, 4806-909, Braga/Guimarães, Portugal
| | - Nuno Sousa
- Life and Health Sciences Research Institute (ICVS), School of Medicine, University of Minho, Braga 4710-057, Portugal
- ICVS/3Bs-PT Government Associate Laboratory, 4806-909, Braga/Guimarães, Portugal
| | - Pedro V Carelli
- Physics Department, Federal University of Pernambuco (UFPE), Recife, PE 50670-901, Brazil
| | - Mauro Copelli
- Physics Department, Federal University of Pernambuco (UFPE), Recife, PE 50670-901, Brazil
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Chen Z, Li T, Zhang L, Wang H, Hu F. Bisphenol A exposure remodels cognition of male rats attributable to excitatory alterations in the hippocampus and visual cortex. Toxicology 2018; 410:132-141. [PMID: 30312744 DOI: 10.1016/j.tox.2018.10.002] [Citation(s) in RCA: 23] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/22/2018] [Revised: 09/28/2018] [Accepted: 10/07/2018] [Indexed: 12/16/2022]
Abstract
Bisphenol A, an environmental xenoestrogen, has been shown sex-specific adverse effects on cognitive function of rodents. However, the specific mechanisms underlying these outcomes remain elusive, limiting our understanding the differences in behavioral impairments due to BPA exposure between genders in humans. The present study chose the juvenile stage (with a stable estrogen level) as the exposure window to explore BPA effects on cognitive behaviors of male and female Sprague-Dawley (SD) rats and related mechanisms. Three dosages of BPA (0.04, 0.4 and 4 mg/kg/day) were chose to make BPA-exposed models. Especially, the mid-dose for rats was close to the current reference daily limit for human exposure given by the U.S. Environmental Protection Agency. Our results showed that male but not female juvenile rats had a marked decline in spatial memory after 0.4 mg/kg/day BPA exposure, which accompanied with downregulation of glutamate receptor (NR2) expression in their hippocampus and primary visual cortex (V1). In the high-dose BPA exposed groups (4 mg/kg/day), there was not only a deficit of spatial memory, but also an anxiety-like behavior of male rats. Additionally, those rats had a significant decline in spine density of pyramidal neurons and a decreased expression of glutamate receptor subtypes (NR2 and GluR1) in the hippocampus. Importantly, such impairments in the hippocampus of male rats were associated with a decrease of glutamate receptor (NR2) expression in the V1, which could perturb the visual information inputs. To some extent, altered ERβ expression within their hypothalamus could contribute to the anxiety-like behavior after high-dose BPA exposure. However, the low-dose BPA exposed juvenile rats didn't present any structural and behavioral changes in our present study. Those results suggests that BPA exerts dose dependent and gender-specific effects on the cognition of juvenile animals. Our findings shed light on mechanisms underlying BPA effects on the juvenile animals.
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Affiliation(s)
- Zhi Chen
- School of Food Science and Engineering, Hefei University of Technology, Hefei, Anhui, 230009, People's Republic of China
| | - Tingting Li
- School of Food Science and Engineering, Hefei University of Technology, Hefei, Anhui, 230009, People's Republic of China
| | - Linke Zhang
- School of Food Science and Engineering, Hefei University of Technology, Hefei, Anhui, 230009, People's Republic of China
| | - Huan Wang
- CAS Key Laboratory of Brain Function and Diseases, School of Life Sciences, University of Science and Technology of China, Hefei, Anhui 230027, People's Republic of China
| | - Fan Hu
- School of Food Science and Engineering, Hefei University of Technology, Hefei, Anhui, 230009, People's Republic of China.
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