1
|
Constant A, Desirèe Di Paolo L, Guénin-Carlut A, M. Martinez L, Criado-Boado F, Müeller J, Clark A. A computational approach to selective attention in embodied approaches to cognitive archaeology. J R Soc Interface 2024; 21:20240508. [PMID: 39378981 PMCID: PMC11461058 DOI: 10.1098/rsif.2024.0508] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/27/2023] [Revised: 08/27/2024] [Accepted: 08/28/2024] [Indexed: 10/10/2024] Open
Abstract
This article proposes a novel computational approach to embodied approaches in cognitive archaeology called computational cognitive archaeology (CCA). We argue that cognitive archaeology, understood as the study of the human mind based on archaeological findings such as artefacts and material remains excavated and interpreted in the present, can benefit from the integration of novel methods in computational neuroscience interested in modelling the way the brain, the body and the environment are coupled and parameterized to allow for adaptive behaviour. We discuss the kind of tasks that CCA may engage in with a narrative example of how one can model the cumulative cultural evolution of the material and cognitive components of technologies, focusing on the case of knapping technology. This article thus provides a novel theoretical framework to formalize research in cognitive archaeology using recent developments in computational neuroscience.
Collapse
Affiliation(s)
- Axel Constant
- School of Engineering and Informatics, University of Sussex, Falmer (Brighton & Hove), UK
| | - Laura Desirèe Di Paolo
- School of Engineering and Informatics, University of Sussex, Falmer (Brighton & Hove), UK
- Developmental Psychology, ChatLab, University of Sussex, Falmer (Brighton & Hove), UK
| | - Avel Guénin-Carlut
- School of Engineering and Informatics, University of Sussex, Falmer (Brighton & Hove), UK
| | | | - Felipe Criado-Boado
- Instituto de Ciencias del Patrimonio, Santiago de Compostela, Galicia, Spain
| | | | - Andy Clark
- School of Engineering and Informatics, University of Sussex, Falmer (Brighton & Hove), UK
| |
Collapse
|
2
|
Shine JM. Neuromodulatory control of complex adaptive dynamics in the brain. Interface Focus 2023; 13:20220079. [PMID: 37065268 PMCID: PMC10102735 DOI: 10.1098/rsfs.2022.0079] [Citation(s) in RCA: 10] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2022] [Accepted: 01/23/2023] [Indexed: 04/18/2023] Open
Abstract
How is the massive dimensionality and complexity of the microscopic constituents of the nervous system brought under sufficiently tight control so as to coordinate adaptive behaviour? A powerful means for striking this balance is to poise neurons close to the critical point of a phase transition, at which a small change in neuronal excitability can manifest a nonlinear augmentation in neuronal activity. How the brain could mediate this critical transition is a key open question in neuroscience. Here, I propose that the different arms of the ascending arousal system provide the brain with a diverse set of heterogeneous control parameters that can be used to modulate the excitability and receptivity of target neurons-in other words, to act as control parameters for mediating critical neuronal order. Through a series of worked examples, I demonstrate how the neuromodulatory arousal system can interact with the inherent topological complexity of neuronal subsystems in the brain to mediate complex adaptive behaviour.
Collapse
Affiliation(s)
- James M. Shine
- Brain and Mind Center, The University of Sydney, Sydney, Australia
| |
Collapse
|
3
|
The ascending arousal system shapes neural dynamics to mediate awareness of cognitive states. Nat Commun 2021; 12:6016. [PMID: 34650039 PMCID: PMC8516926 DOI: 10.1038/s41467-021-26268-x] [Citation(s) in RCA: 46] [Impact Index Per Article: 11.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/17/2021] [Accepted: 09/16/2021] [Indexed: 12/22/2022] Open
Abstract
Models of cognitive function typically focus on the cerebral cortex and hence overlook functional links to subcortical structures. This view does not consider the role of the highly-conserved ascending arousal system's role and the computational capacities it provides the brain. We test the hypothesis that the ascending arousal system modulates cortical neural gain to alter the low-dimensional energy landscape of cortical dynamics. Here we use spontaneous functional magnetic resonance imaging data to study phasic bursts in both locus coeruleus and basal forebrain, demonstrating precise time-locked relationships between brainstem activity, low-dimensional energy landscapes, network topology, and spatiotemporal travelling waves. We extend our analysis to a cohort of experienced meditators and demonstrate locus coeruleus-mediated network dynamics were associated with internal shifts in conscious awareness. Together, these results present a view of brain organization that highlights the ascending arousal system's role in shaping both the dynamics of the cerebral cortex and conscious awareness.
Collapse
|
4
|
Lu Y, Sarter M, Zochowski M, Booth V. Phasic cholinergic signaling promotes emergence of local gamma rhythms in excitatory-inhibitory networks. Eur J Neurosci 2020; 52:3545-3560. [PMID: 32293081 DOI: 10.1111/ejn.14744] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/07/2019] [Revised: 03/02/2020] [Accepted: 03/30/2020] [Indexed: 02/06/2023]
Abstract
Recent experimental results have shown that the detection of cues in behavioral attention tasks relies on transient increases of acetylcholine (ACh) release in frontal cortex and cholinergically driven oscillatory activity in the gamma frequency band (Howe et al. Journal of Neuroscience, 2017, 37, 3215). The cue-induced gamma rhythmic activity requires stimulation of M1 muscarinic receptors. Using biophysical computational modeling, we show that a network of excitatory (E) and inhibitory (I) neurons that initially displays asynchronous firing can generate transient gamma oscillatory activity in response to simulated brief pulses of ACh. ACh effects are simulated as transient modulation of the conductance of an M-type K+ current which is blocked by activation of muscarinic receptors and has significant effects on neuronal excitability. The ACh-induced effects on the M current conductance, gKs , change network dynamics to promote the emergence of network gamma rhythmicity through a Pyramidal-Interneuronal Network Gamma mechanism. Depending on connectivity strengths between and among E and I cells, gamma activity decays with the simulated gKs transient modulation or is sustained in the network after the gKs transient has completely dissipated. We investigated the sensitivity of the emergent gamma activity to synaptic strengths, external noise and simulated levels of gKs modulation. To address recent experimental findings that cholinergic signaling is likely spatially focused and dynamic, we show that localized gKs modulation can induce transient changes of cellular excitability in local subnetworks, subsequently causing population-specific gamma oscillations. These results highlight dynamical mechanisms underlying localization of ACh-driven responses and suggest that spatially localized, cholinergically induced gamma may contribute to selectivity in the processing of competing external stimuli, as occurs in attentional tasks.
Collapse
Affiliation(s)
- Yiqing Lu
- Department of Mathematics, University of Michigan, Ann Arbor, MI, USA
| | - Martin Sarter
- Department of Psychology and Neuroscience Program, University of Michigan, Ann Arbor, MI, USA
| | - Michal Zochowski
- Departments of Physics and Biophysics, University of Michigan, Ann Arbor, MI, USA
| | - Victoria Booth
- Departments of Mathematics and Anesthesiology, University of Michigan, Ann Arbor, MI, USA
| |
Collapse
|
5
|
Todo M. Towards the interpretation of complex visual hallucinations in terms of self-reorganization of neural networks. Neurosci Res 2020; 156:147-158. [PMID: 32112785 DOI: 10.1016/j.neures.2020.02.009] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/23/2019] [Revised: 10/25/2019] [Accepted: 12/28/2019] [Indexed: 10/24/2022]
Abstract
Patients suffering from dementia with Lewy body (DLB) often see complex visual hallucinations (CVH). Despite many pathological, clinical, and neuroimaging studies, the mechanism of CVH remains unknown. One possible scenario is that top-down information is being used to compensate for the lack of bottom-up information. To investigate this possibility and understand the underlying mathematical structure of the CVH mechanism, we propose a simple computational model of synaptic plasticity with particular focus on the effect of selective damage to the bottom-up network on self-reorganization. We show neurons that undergo a change in activity from a bottom-up to a top-down network framework during the reorganization process, which can be understood in terms of state transitions. Assuming that the pre-reorganization representation of this neuron remains after reorganization, it is possible to interpret neural response induced by top-down information as the sensation of bottom-up information. This situation might correspond to a hallucinatory situation in DLB patients. Our results agree with existing experimental evidence and provide new insights into data that have hitherto not been experimentally validated on patients with DLB.
Collapse
Affiliation(s)
- Masato Todo
- Department of Mathematics, School of Science, Hokkaido University, Sapporo, Hokkaido, Japan.
| |
Collapse
|
6
|
Kanamaru T, Aihara K. Acetylcholine-mediated top-down attention improves the response to bottom-up inputs by deformation of the attractor landscape. PLoS One 2019; 14:e0223592. [PMID: 31589648 PMCID: PMC6779248 DOI: 10.1371/journal.pone.0223592] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/18/2019] [Accepted: 09/24/2019] [Indexed: 12/04/2022] Open
Abstract
To understand the effect of attention on neuronal dynamics, we propose a multi-module network, with each module consisting of fully interconnected groups of excitatory and inhibitory neurons. This network shows transitive dynamics among quasi-attractors as its typical dynamics. When the release of acetylcholine onto the network is simulated by attention, the transitive dynamics change into stable dynamics in which the system converges to an attractor. We found that this network can reproduce three experimentally observed properties of attention-dependent response modulation, namely an increase in the firing rate, a decrease in the Fano factor of the firing rate, and a decrease in the correlation coefficients between the firing rates of pairs of neurons. Moreover, we also showed theoretically that the release of acetylcholine increases the sensitivity to bottom-up inputs by changing the response function.
Collapse
Affiliation(s)
- Takashi Kanamaru
- Department of Mechanical Science and Engineering, Kogakuin University, Tokyo, Japan
- * E-mail:
| | - Kazuyuki Aihara
- International Research Center for Neurointelligence (WPI-IRCN), UTIAS, The University of Tokyo, Bunkyo-ku, Tokyo, Japan
- Institute of Industrial Science, The University of Tokyo, Meguro-ku, Tokyo, Japan
| |
Collapse
|
7
|
An Integrative and Mechanistic Model of Impaired Belief Updating in Schizophrenia. J Neurosci 2019; 39:5630-5633. [PMID: 31315964 DOI: 10.1523/jneurosci.0002-19.2019] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/02/2019] [Revised: 05/15/2019] [Accepted: 05/17/2019] [Indexed: 01/26/2023] Open
|
8
|
Abstract
Background: The roles of neuromodulation in a neural network, such as in a cortical microcolumn, are still incompletely understood. Neuromodulation influences neural processing by presynaptic and postsynaptic regulation of synaptic efficacy. Neuromodulation also affects ion channels and intrinsic excitability. Methods: Synaptic efficacy modulation is an effective way to rapidly alter network density and topology. We alter network topology and density to measure the effect on spike synchronization. We also operate with differently parameterized neuron models which alter the neuron's intrinsic excitability, i.e., activation function. Results: We find that (a) fast synaptic efficacy modulation influences the amount of correlated spiking in a network. Also, (b) synchronization in a network influences the read-out of intrinsic properties. Highly synchronous input drives neurons, such that differences in intrinsic properties disappear, while asynchronous input lets intrinsic properties determine output behavior. Thus, altering network topology can alter the balance between intrinsically vs. synaptically driven network activity. Conclusion: We conclude that neuromodulation may allow a network to shift between a more synchronized transmission mode and a more asynchronous intrinsic read-out mode. This has significant implications for our understanding of the flexibility of cortical computations.
Collapse
Affiliation(s)
- Gabriele Scheler
- Carl Correns Foundation for Mathematical Biology, Mountain View, CA, 94040, USA
| |
Collapse
|
9
|
Abstract
Background: The roles of neuromodulation in a neural network, such as in a cortical microcolumn, are still incompletely understood. Neuromodulation influences neural processing by presynaptic and postsynaptic regulation of synaptic efficacy. Neuromodulation also affects ion channels and intrinsic excitability. Methods: Synaptic efficacy modulation is an effective way to rapidly alter network density and topology. We alter network topology and density to measure the effect on spike synchronization. We also operate with differently parameterized neuron models which alter the neuron's intrinsic excitability, i.e., activation function. Results: We find that (a) fast synaptic efficacy modulation influences the amount of correlated spiking in a network. Also, (b) synchronization in a network influences the read-out of intrinsic properties. Highly synchronous input drives neurons, such that differences in intrinsic properties disappear, while asynchronous input lets intrinsic properties determine output behavior. Thus, altering network topology can alter the balance between intrinsically vs. synaptically driven network activity. Conclusion: We conclude that neuromodulation may allow a network to shift between a more synchronized transmission mode and a more asynchronous intrinsic read-out mode. This has significant implications for our understanding of the flexibility of cortical computations.
Collapse
Affiliation(s)
- Gabriele Scheler
- Carl Correns Foundation for Mathematical Biology, Mountain View, CA, 94040, USA
| |
Collapse
|
10
|
Popescu M, Hughes JD, Popescu EA, Mikola J, Merrifield W, DeGraba M, Riedy G, DeGraba TJ. Activation of dominant hemisphere association cortex during naming as a function of cognitive performance in mild traumatic brain injury: Insights into mechanisms of lexical access. NEUROIMAGE-CLINICAL 2017; 15:741-752. [PMID: 28702351 PMCID: PMC5491489 DOI: 10.1016/j.nicl.2017.06.029] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/28/2017] [Revised: 06/09/2017] [Accepted: 06/22/2017] [Indexed: 12/04/2022]
Abstract
Patients with a history of mild traumatic brain injury (mTBI) and objective cognitive deficits frequently experience word finding difficulties in normal conversation. We sought to improve our understanding of this phenomenon by determining if the scores on standardized cognitive testing are correlated with measures of brain activity evoked in a word retrieval task (confrontational picture naming). The study participants (n = 57) were military service members with a history of mTBI. The General Memory Index (GMI) determined after administration of the Rivermead Behavioral Memory Test, Third Edition, was used to assign subjects to three groups: low cognitive performance (Group 1: GMI ≤ 87, n = 18), intermediate cognitive performance (Group 2: 88 ≤ GMI ≤ 99, n = 18), and high cognitive performance (Group 3: GMI ≥ 100, n = 21). Magnetoencephalography data were recorded while participants named eighty pictures of common objects. Group differences in evoked cortical activity were observed relatively early (within 200 ms from picture onset) over a distributed network of left hemisphere cortical regions including the fusiform gyrus, the entorhinal and parahippocampal cortex, the supramarginal gyrus and posterior part of the superior temporal gyrus, and the inferior frontal and rostral middle frontal gyri. Differences were also present in bilateral cingulate cortex and paracentral lobule, and in the right fusiform gyrus. All differences reflected a lower amplitude of the evoked responses for Group 1 relative to Groups 2 and 3. These findings may indicate weak afferent inputs to and within an extended cortical network including association cortex of the dominant hemisphere in patients with low cognitive performance. The association between word finding difficulties and low cognitive performance may therefore be the result of a diffuse pathophysiological process affecting distributed neuronal networks serving a wide range of cognitive processes. These findings also provide support for a parallel processing model of lexical access. Brain activity magnitude during naming is related to cognitive ability in mTBI. Naming ignites a rapid spread of activity in left cortical association regions. The activation patterns support a parallel processing model of lexical access. Low cortical activation may reflect suboptimal recurrent neural networks dynamics.
Collapse
Affiliation(s)
- Mihai Popescu
- National Intrepid Center of Excellence, Walter Reed National Military Medical Center, Bethesda, MD, USA
| | - John D Hughes
- National Intrepid Center of Excellence, Walter Reed National Military Medical Center, Bethesda, MD, USA; NeuroTrauma Department, Naval Medical Research Center, Silver Spring, MD, USA.
| | - Elena-Anda Popescu
- National Intrepid Center of Excellence, Walter Reed National Military Medical Center, Bethesda, MD, USA
| | - Judy Mikola
- National Intrepid Center of Excellence, Walter Reed National Military Medical Center, Bethesda, MD, USA
| | - Warren Merrifield
- National Intrepid Center of Excellence, Walter Reed National Military Medical Center, Bethesda, MD, USA
| | - Maria DeGraba
- National Intrepid Center of Excellence, Walter Reed National Military Medical Center, Bethesda, MD, USA
| | - Gerard Riedy
- National Intrepid Center of Excellence, Walter Reed National Military Medical Center, Bethesda, MD, USA
| | - Thomas J DeGraba
- National Intrepid Center of Excellence, Walter Reed National Military Medical Center, Bethesda, MD, USA
| |
Collapse
|
11
|
Kanamaru T. Chaotic Pattern Alternations Can Reproduce Properties of Dominance Durations in Multistable Perception. Neural Comput 2017; 29:1696-1720. [PMID: 28410054 DOI: 10.1162/neco_a_00965] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/04/2022]
Abstract
We propose a pulse neural network that exhibits chaotic pattern alternations among stored patterns as a model of multistable perception, which is reflected in phenomena such as binocular rivalry and perceptual ambiguity. When we regard the mixed state of patterns as a part of each pattern, the durations of the retrieved pattern obey unimodal distributions. We confirmed that no chaotic properties are observed in the time series of durations, consistent with the findings of previous psychological studies. Moreover, it is shown that our model also reproduces two properties of multistable perception that characterize the relationship between the contrast of inputs and the durations.
Collapse
Affiliation(s)
- Takashi Kanamaru
- Department of Mechanical Science and Engineering, School of Advanced Engineering, Kogakuin University, Hachioji-City, Tokyo 192-0015, Japan
| |
Collapse
|
12
|
Tsukada H, Fujii H, Aihara K, Tsuda I. Computational model of visual hallucination in dementia with Lewy bodies. Neural Netw 2014; 62:73-82. [PMID: 25282547 DOI: 10.1016/j.neunet.2014.09.001] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/31/2014] [Revised: 07/29/2014] [Accepted: 09/03/2014] [Indexed: 10/24/2022]
Abstract
Patients with dementia with Lewy bodies (DLB) frequently experience visual hallucination (VH), which has been aptly described as people seeing things that are not there. The distinctive character of VH in DLB necessitates a new theory of visual cognition. We have conducted a series of studies with the aim to understand the mechanism of this dysfunction of the cognitive system. We have proposed that if we view the disease from the internal mechanism of neurocognitive processes, and if also take into consideration recent experimental data on conduction abnormality, at least some of the symptoms can be understood within the framework of network (or disconnection) syndromes. This paper describes the problem from a computational aspect and tries to determine whether conduction disturbances in a computational model can in fact produce a "computational" hallucination under appropriate assumptions.
Collapse
Affiliation(s)
- Hiromichi Tsukada
- Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0812, Japan.
| | - Hiroshi Fujii
- Department of Intelligent Systems, Kyoto Sangyo University, Kyoto 603-8555, Japan
| | - Kazuyuki Aihara
- Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan
| | - Ichiro Tsuda
- Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0812, Japan; Research Center for Integrative Mathematics (RCIM), Hokkaido University, Sapporo 060-0812, Japan
| |
Collapse
|
13
|
Roseman L, Leech R, Feilding A, Nutt DJ, Carhart-Harris RL. The effects of psilocybin and MDMA on between-network resting state functional connectivity in healthy volunteers. Front Hum Neurosci 2014; 8:204. [PMID: 24904346 PMCID: PMC4034428 DOI: 10.3389/fnhum.2014.00204] [Citation(s) in RCA: 125] [Impact Index Per Article: 11.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/20/2013] [Accepted: 03/23/2014] [Indexed: 11/23/2022] Open
Abstract
Perturbing a system and observing the consequences is a classic scientific strategy for understanding a phenomenon. Psychedelic drugs perturb consciousness in a marked and novel way and thus are powerful tools for studying its mechanisms. In the present analysis, we measured changes in resting-state functional connectivity (RSFC) between a standard template of different independent components analysis (ICA)-derived resting state networks (RSNs) under the influence of two different psychoactive drugs, the stimulant/psychedelic hybrid, MDMA, and the classic psychedelic, psilocybin. Both were given in placebo-controlled designs and produced marked subjective effects, although reports of more profound changes in consciousness were given after psilocybin. Between-network RSFC was generally increased under psilocybin, implying that networks become less differentiated from each other in the psychedelic state. Decreased RSFC between visual and sensorimotor RSNs was also observed. MDMA had a notably less marked effect on between-network RSFC, implying that the extensive changes observed under psilocybin may be exclusive to classic psychedelic drugs and related to their especially profound effects on consciousness. The novel analytical approach applied here may be applied to other altered states of consciousness to improve our characterization of different conscious states and ultimately advance our understanding of the brain mechanisms underlying them.
Collapse
Affiliation(s)
- Leor Roseman
- Centre for Neuropsychopharmacology, Division of Brain Sciences, Department of Medicine, Imperial College LondonLondon, UK
- Computational, Cognitive and Clinical Neuroscience Laboratory, Division of Brain Sciences, Department of Medicine, Imperial College LondonLondon, UK
| | - Robert Leech
- Computational, Cognitive and Clinical Neuroscience Laboratory, Division of Brain Sciences, Department of Medicine, Imperial College LondonLondon, UK
| | | | - David J. Nutt
- Centre for Neuropsychopharmacology, Division of Brain Sciences, Department of Medicine, Imperial College LondonLondon, UK
| | - Robin L. Carhart-Harris
- Centre for Neuropsychopharmacology, Division of Brain Sciences, Department of Medicine, Imperial College LondonLondon, UK
| |
Collapse
|
14
|
Cabessa J, Villa AEP. An attractor-based complexity measurement for Boolean recurrent neural networks. PLoS One 2014; 9:e94204. [PMID: 24727866 PMCID: PMC3984152 DOI: 10.1371/journal.pone.0094204] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/03/2013] [Accepted: 03/14/2014] [Indexed: 12/16/2022] Open
Abstract
We provide a novel refined attractor-based complexity measurement for Boolean recurrent neural networks that represents an assessment of their computational power in terms of the significance of their attractor dynamics. This complexity measurement is achieved by first proving a computational equivalence between Boolean recurrent neural networks and some specific class of -automata, and then translating the most refined classification of -automata to the Boolean neural network context. As a result, a hierarchical classification of Boolean neural networks based on their attractive dynamics is obtained, thus providing a novel refined attractor-based complexity measurement for Boolean recurrent neural networks. These results provide new theoretical insights to the computational and dynamical capabilities of neural networks according to their attractive potentialities. An application of our findings is illustrated by the analysis of the dynamics of a simplified model of the basal ganglia-thalamocortical network simulated by a Boolean recurrent neural network. This example shows the significance of measuring network complexity, and how our results bear new founding elements for the understanding of the complexity of real brain circuits.
Collapse
Affiliation(s)
- Jérémie Cabessa
- Neuroheuristic Research Group, Faculty of Business and Economics, University of Lausanne, Lausanne, Switzerland
- Laboratory of Mathematical Economics (LEMMA), University of Paris 2 – Panthéon-Assas, Paris, France
- * E-mail: (JC); (AV)
| | - Alessandro E. P. Villa
- Neuroheuristic Research Group, Faculty of Business and Economics, University of Lausanne, Lausanne, Switzerland
- Grenoble Institute of Neuroscience, Faculty of Medicine, University Joseph Fourier, Grenoble, France
- * E-mail: (JC); (AV)
| |
Collapse
|