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Beggs JM. The criticality hypothesis: how local cortical networks might optimize information processing. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2008; 366:329-43. [PMID: 17673410 DOI: 10.1098/rsta.2007.2092] [Citation(s) in RCA: 218] [Impact Index Per Article: 13.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
Early theoretical and simulation work independently undertaken by Packard, Langton and Kauffman suggested that adaptability and computational power would be optimized in systems at the 'edge of chaos', at a critical point in a phase transition between total randomness and boring order. This provocative hypothesis has received much attention, but biological experiments supporting it have been relatively few. Here, we review recent experiments on networks of cortical neurons, showing that they appear to be operating near the critical point. Simulation studies capture the main features of these data and suggest that criticality may allow cortical networks to optimize information processing. These simulations lead to predictions that could be tested in the near future, possibly providing further experimental evidence for the criticality hypothesis.
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Affiliation(s)
- John M Beggs
- Department of Physics, Indiana University, Bloomington, IN 47405, USA.
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Homeostasis of neuronal avalanches during postnatal cortex development in vitro. J Neurosci Methods 2007; 169:405-16. [PMID: 18082894 DOI: 10.1016/j.jneumeth.2007.10.021] [Citation(s) in RCA: 62] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/13/2007] [Revised: 10/24/2007] [Accepted: 10/28/2007] [Indexed: 11/23/2022]
Abstract
Cortical networks in vivo and in vitro are spontaneously active in the absence of inputs, generating highly variable bursts of neuronal activity separated by up to seconds of quiescence. Previous measurements in adult rat cortex revealed an intriguing underlying organization of these dynamics, termed neuronal avalanches, which is indicative of a critical network state. Here we demonstrate that neuronal avalanches persist throughout development in cortical slice cultures from newborn rats. More specifically, we find that in spite of large variations of average rate in activity, spontaneous bursts occur with power-law distributed sizes (exponent -1.5) and a critical branching parameter close to 1. Our findings suggest that cortical networks homeostatically regulate a critical state during postnatal maturation.
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Multi-program approach for simulating recorded extracellular signals generated by neurons coupled to microelectrode arrays. Neurocomputing 2007. [DOI: 10.1016/j.neucom.2006.09.008] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Barrett EW, Phelps MVB, Silva RJ, Gaumond RP, Allcock HR. Patterning poly(organophosphazenes) for selective cell adhesion applications. Biomacromolecules 2006; 6:1689-97. [PMID: 15877395 DOI: 10.1021/bm049193z] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Five polyphosphazenes with different hydrophilicites were synthesized and screened in vitro. The purpose was to identify unique types of polymeric substrates that distinctly favored or markedly prevented cellular adhesion. The SK-N-BE(2c) human neuroblastoma cell line, utilized for its electrogenic responses, was used to test this differential adhesion. In particular, the objective was to specifically culture this cell line in a highly selective pattern. Each candidate polymer was cast into films and plated with neuroblastoma cells for 3 days. The polyphosphazene materials which showed negative cellular adhesive properties (-CAPs) were poly[bis(trifluoroethoxy)phosphazene] (TFE) and poly[bis(methoxyethoxyethoxy)phosphazene] (MEEP). The polyphosphazenes which showed positive cellular adhesive properties (+CAPs) were poly[(methoxyethoxyethoxy)(1.0)(carboxylatophenoxy)(1.0)phosphazene] (PMCPP), poly[(methoxyethoxyethoxy)(1.0)(cinnamyloxy)(1.0)phosphazene] (PMCP), and poly[(methoxyethoxyethoxy)(1.0)(p-methylphenoxy)(1.0)phosphazene] (PMMP). To test cellular selectivity, films of -CAP and +CAP were copatterned onto glass substrates. The micropatterned films were plated with SK-N-BE(2c) neuroblastoma cells for one week. The results showed that neuroblastoma cells adhere selectively (over 60%) to the +CAP microfeatures. We also showed that multiple properties can be achieved with a single material and that we can use TFE as both a -CAP and an insulation layer and PMCP as a conductive +CAP layer.
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Affiliation(s)
- Eric W Barrett
- Department of Chemistry, 104 Chemistry Building, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
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Haldeman C, Beggs JM. Critical branching captures activity in living neural networks and maximizes the number of metastable States. PHYSICAL REVIEW LETTERS 2005; 94:058101. [PMID: 15783702 DOI: 10.1103/physrevlett.94.058101] [Citation(s) in RCA: 240] [Impact Index Per Article: 12.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/15/2004] [Indexed: 05/09/2023]
Abstract
Recent experimental work has shown that activity in living neural networks can propagate as a critical branching process that revisits many metastable states. Neural network theory suggests that attracting states could store information, but little is known about how a branching process could form such states. Here we use a branching process to model actual data and to explore metastable states in the network. When we tune the branching parameter to the critical point, we find that metastable states are most numerous and that network dynamics are not attracting, but neutral.
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Affiliation(s)
- Clayton Haldeman
- Department of Physics, Indiana University, Bloomington, Indiana, USA
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Beggs JM, Plenz D. Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures. J Neurosci 2004; 24:5216-29. [PMID: 15175392 PMCID: PMC6729198 DOI: 10.1523/jneurosci.0540-04.2004] [Citation(s) in RCA: 337] [Impact Index Per Article: 16.9] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/16/2004] [Revised: 04/29/2004] [Accepted: 04/29/2004] [Indexed: 11/21/2022] Open
Abstract
A major goal of neuroscience is to elucidate mechanisms of cortical information processing and storage. Previous work from our laboratory (Beggs and Plenz, 2003) revealed that propagation of local field potentials (LFPs) in cortical circuits could be described by the same equations that govern avalanches. Whereas modeling studies suggested that these "neuronal avalanches" were optimal for information transmission, it was not clear what role they could play in information storage. Work from numerous other laboratories has shown that cortical structures can generate reproducible spatiotemporal patterns of activity that could be used as a substrate for memory. Here, we show that although neuronal avalanches lasted only a few milliseconds, their spatiotemporal patterns were also stable and significantly repeatable even many hours later. To investigate these issues, we cultured coronal slices of rat cortex for 4 weeks on 60-channel microelectrode arrays and recorded spontaneous extracellular LFPs continuously for 10 hr. Using correlation-based clustering and a global contrast function, we found that each cortical culture spontaneously produced 4736 +/- 2769 (mean +/- SD) neuronal avalanches per hour that clustered into 30 +/- 14 statistically significant families of spatiotemporal patterns. In 10 hr of recording, over 98% of the mutual information shared by these avalanche patterns were retained. Additionally, jittering analysis revealed that the correlations between avalanches were temporally precise to within +/-4 msec. The long-term stability, diversity, and temporal precision of these avalanches indicate that they fulfill many of the requirements expected of a substrate for memory and suggest that they play a central role in both information transmission and storage within cortical networks.
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Affiliation(s)
- John M Beggs
- Unit of Neural Network Physiology, Laboratory of Systems Neuroscience, National Institute of Mental Health, Bethesda, Maryland 20892, USA
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Martinoia S, Massobrio P. ISFET–neuron junction: circuit models and extracellular signal simulations. Biosens Bioelectron 2004; 19:1487-96. [PMID: 15093221 DOI: 10.1016/j.bios.2003.12.003] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2003] [Revised: 12/03/2003] [Accepted: 12/03/2003] [Indexed: 11/25/2022]
Abstract
Purpose of this paper is to characterize the Ion-Sensitive Field-Effect Transistors (ISFET)-neuron junction, based on the equivalent electric-circuit approach. As a result, recording of action potentials can be simulated with a general-purpose circuit simulation program such as HSPICE. The neuronal electrical activity, extracellularly recorded by the ISFET, is analyzed as a function of the physical-chemical and geometric ISFET parameters, of the ionic currents in the neuron, and of the neuro-electronic junction parameters such as the sealing resistance, double-layer capacitance, and general adhesion conditions. The models of the neuron, of the coupling circuit, and of the ISFET implemented in HSPICE are first described. These models are then used to simulate the behavior of the junction between a patch of neuronal membrane (described by the compartmental model) and the ISFET.
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Affiliation(s)
- Sergio Martinoia
- Neuroengineering and Bio-nanoTechnologies Laboratory, Department of Biophysical and Electronic Engineering (DIBE), University of Genova, Via Opera Pia 11a, 16145 Genoa, Italy.
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Martinoia S, Massobrio P, Bove M, Massobrio G. Cultured Neurons Coupled to Microelectrode Arrays: Circuit Models, Simulations and Experimental Data. IEEE Trans Biomed Eng 2004; 51:859-64. [PMID: 15132514 DOI: 10.1109/tbme.2004.826607] [Citation(s) in RCA: 65] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Abstract
The purpose of this paper is to characterize the neuron-microelectrode junction, based on the equivalent electric-circuit approach. As a result, recording of action potentials can be simulated with a general-purpose circuit simulation program such as HSPICE. The response of the microelectrode was analyzed as a function of parameters such as sealing resistance and adhesion conditions. The models of the neuron and microelectrode implemented in HSPICE were first described. These models were used to simulate the behavior of the junction between a patch of neuronal membrane (described by the compartmental model) and a microelectrode.
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Affiliation(s)
- Sergio Martinoia
- Neuroengineering and Bio-nanoTechnology Group, Department of Biophysical and Electronic Engineering, University of Genova, Via Opera Pia 11a, 16145 Genova, Italy.
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Stett A, Bucher V, Burkhardt C, Weber U, Nisch W. Patch-clamping of primary cardiac cells with micro-openings in polyimide films. Med Biol Eng Comput 2003; 41:233-40. [PMID: 12691447 DOI: 10.1007/bf02344895] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
Abstract
Patch-clamping is a powerful method for investigating the function and regulation of ionic channels. Currently, great efforts are being made to automate this method. As a step towards this goal, the feasibility of patch-clamping primary cells with a microscopic opening in a planar substrate was tested. Using standard microfabrication and ion beam technology, small-diameter openings (2 and 4 microm) were formed in polyimide films (thickness 6.5 microm). Single cells (sheep Purkinje heart cells, Chinese hamster ovary cells) in a suspension were positioned on top of the opening and sucked towards the opening to improve adhesion of the cell to the planar substrate, hence increasing the seal resistance. Voltage/current measurements yielded a median seal resistance of 1.3 Mohms with 4 microm openings (n=24) and 26.0 Mohms with 2 microm openings (n = 75), respectively. With 2 microm openings, successful loose-patch recordings of TTX-sensitive inward currents and action potentials in sheep Purkinje heart cells (n = 18) were made. In rare cases, gigaseals (n = 4) were also measured, and a whole-cell configuration (n = 1) could be established. It was concluded that the simple planar patch approach is suitable for automated loose-patch recordings from cells in suspension but will hardly be suitable for high-throughput whole-cell patch-clamping with high-resistance seals.
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Affiliation(s)
- A Stett
- NMI Natural & Medical Science Institute, Reutlingen, Germany.
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Abstract
The ability to culture cells in vitro has revolutionized hypothesis testing in basic cell and molecular biology research and has become a standard methodology in drug screening and toxicology assays. However, the traditional cell culture methodology--consisting essentially of the immersion of a large population of cells in a homogeneous fluid medium--has become increasingly limiting, both from a fundamental point of view (cells in vivo are surrounded by complex spatiotemporal microenvironments) and from a practical perspective (scaling up the number of fluid handling steps and cell manipulations for high-throughput studies in vitro is prohibitively expensive). Microfabrication technologies have enabled researchers to design, with micrometer control, the biochemical composition and topology of the substrate, the medium composition, as well as the type of neighboring cells surrounding the microenvironment of the cell. In addition, microtechnology is conceptually well suited for the development of fast, low-cost in vitro systems that allow for high-throughput culturing and analysis of cells under large numbers of conditions. Here we review a variety of applications of microfabrication in cell culture studies, with an emphasis on the biology of various cell types.
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Affiliation(s)
- Nianzhen Li
- Department of Bioengineering, University of Washington, Seattle, Washington 98195, USA
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Ingebrandt S, Yeung CK, Krause M, Offenhäusser A. Cardiomyocyte-transistor-hybrids for sensor application. Biosens Bioelectron 2001; 16:565-70. [PMID: 11544050 DOI: 10.1016/s0956-5663(01)00170-1] [Citation(s) in RCA: 84] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Abstract
An extracellular recording system has been designed for the detection of electrical cell signals using p-channel or n-channel field-effect transistor (FET) arrays with non-metallized gates. Signals from rat heart muscle cell were recorded by these devices and the results described on the basis of an equivalent circuit. This technique is sensitive enough to detect minute changes of the extracellular membrane voltage and has potential applications in drug screening. We show that known cardiac stimulants (isoproterenol, norepinephrine) and relaxants (verapamil, carbamylcholine) have characteristic effects on the heart cells in terms of the changes of beat frequencies in the absence or presence of corresponding agents.
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Affiliation(s)
- S Ingebrandt
- Max Planck Institute for Polymer Research in Mainz, Ackermannweg 10, 55128 Mainz, Germany
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