Filters








240 Hits in 7.2 sec

Computational Neuroscience: Mathematical and Statistical Perspectives

Robert E. Kass, Shun-Ichi Amari, Kensuke Arai, Emery N. Brown, Casey O. Diekman, Markus Diesmann, Brent Doiron, Uri T. Eden, Adrienne L. Fairhall, Grant M. Fiddyment, Tomoki Fukai, Sonja Grün (+13 others)
2018 Annual Review of Statistics and Its Application  
Mathematical and statistical models have played important roles in neuroscience, especially by describing the electrical activity of neurons recorded individually, or collectively across large networks  ...  the Hodgkin-Huxley model neuron.  ...  Artificial neural networks gained traction as models of human cognition through a series of developments in the 1980s (Medler 1998), producing the paradigm of parallel distributed The Hodgkin-Huxley model  ... 
doi:10.1146/annurev-statistics-041715-033733 pmid:30976604 pmcid:PMC6454918 fatcat:j6eleberxfh3hf73trglwag7oa

An Ultrascalable Solution to Large-scale Neural Tissue Simulation

James Kozloski, John Wagner
2011 Frontiers in Neuroinformatics  
NEUROINFORMATICS (1) Every model in the simulation is embedded within the threedimensional coordinate system of a neural tissue; (2) Coordinates for all models are available during initialization and simulation  ...  Neural tissue simulation extends requirements and constraints of previous neuronal and neural circuit simulation methods, creating a tissue coordinate system.  ...  implement the second-order accurate Crank-Nicholson method for Hodgkin-Huxley type models.  ... 
doi:10.3389/fninf.2011.00015 pmid:21954383 pmcid:PMC3175572 fatcat:egosacpglbfrvjgqtc6lo4643q

Workshop report: 1st INCF Workshop on Large-scale Modeling of the Nervous System

Mikael Djurfeldt, Mikael Djurfeldt, Anders Lansner
2007 Nature Precedings  
( Hodgkin-Huxley models A network model with multi-compartmental Hodgkin-Huxley type units is more detailed than its integrate-and-fire counterpart.  ...  Another aspect of this model, and most or all other network models, is that the parameters of a neuron type are replicated over the population of model neurons, with or without random perturbation, in  ...  axonal morphology of neurons and networks in D and construct networks of synaptically connected neurons in a cortical column.  ... 
doi:10.1038/npre.2007.262.1 fatcat:z6zrci3wxfgtxnfxg32hmdwz3m

Workshop report: 1st INCF Workshop on Large-scale Modeling of the Nervous System

Mikael Djurfeldt, Mikael Djurfeldt, Anders Lansner
2007 Nature Precedings  
( Hodgkin-Huxley models A network model with multi-compartmental Hodgkin-Huxley type units is more detailed than its integrate-and-fire counterpart.  ...  Another aspect of this model, and most or all other network models, is that the parameters of a neuron type are replicated over the population of model neurons, with or without random perturbation, in  ...  axonal morphology of neurons and networks in D and construct networks of synaptically connected neurons in a cortical column.  ... 
doi:10.1038/npre.2007.262 fatcat:fref2h5qebelphhatefjl322py

Simulation of networks of spiking neurons: A review of tools and strategies [article]

R. Brette, M. Rudolph, T. Carnevale, M. Hines, D. Beeman, J. M. Bower, M. Diesmann, A. Morrison, P. H. Goodman, F. C. Harris Jr., M. Zirpe, T. Natschlager, D. Pecevski (+8 others)
2007 arXiv   pre-print
Finally, we provide a series of benchmark simulations of different types of networks of spiking neurons, including Hodgkin-Huxley type, integrate-and-fire models, interacting with current-based or conductance-based  ...  We review different aspects of the simulation of spiking neural networks. We start by reviewing the different types of simulation strategies and algorithms that are currently implemented.  ...  /or dV m /dt ≥ θ for Hodgkin-Huxley type models.  ... 
arXiv:q-bio/0611089v2 fatcat:wc22vb75zrb6xj66ngffn6gjuy

A Coupled Neural Circuit Design for Guillain-Barre Syndrome [article]

Oguzhan Derebasi, Murat Isik, Oguzhan Demirag, Dilek Goksel Duru, Anup Das
2022 arXiv   pre-print
In this work, we propose an analog and digital coupled neuron model comprising individual excitatory and inhibitory neural circuit blocks for a low-cost and energy-efficient system.  ...  A peripheral nervous system appears as a diffusively connected system of mathematical models of neuron models, and the system's period becomes shorter than the periods of each neural circuit.  ...  Hodgkin-Huxley Neuron Model The Hodgkin-Huxley (HH) neuron model is the study that explains the ionic mechanism that provides the generation and transmission of action potentials on the squid giant axon  ... 
arXiv:2206.13056v1 fatcat:rvitrko76fcwzlbrtekmx4ojru

Channel noise in neurons

John A. White, Jay T. Rubinstein, Alan R. Kay
2000 Trends in Neurosciences  
The contribution of the ganglionic eminence to the neuronal cell types of the cerebral cortex.  ...  131 49 Grigoriou, M. et al. (1998) Expression and regulation of Lhx6 and Lhx7, a novel subfamily of LIM homeodomain encoding genes, suggests a role in mammalian head development.  ...  With very few exceptions, the single-neuron modeling community makes the implicit assumption, which is embedded in their choice of Hodgkin-Huxley-type models, that the random behavior of a population of  ... 
doi:10.1016/s0166-2236(99)01521-0 pmid:10675918 fatcat:nv5xxwcv3fb73h7q76giunt5na

Co-existent activity patterns in inhibitory neuronal networks with short-term synaptic depression

Amitabha Bose, Victoria Booth
2011 Journal of Theoretical Biology  
The generality and validity of these conditions are demonstrated through numerical simulations utilizing the Hodgkin-Huxley and Morris-Lecar neuronal models.  ...  Specifically, the network supports different types of n-m anti-phase firing patterns, where one neuron fires n spikes followed by the other neuron firing m spikes.  ...  Acknowledgements This work was supported in part by grants from the National Science Foundation DMS-0315862 (AB, VB), DMS-0615168 (AB), DBI-0340687 (VB) and the United States India Educational Foundation  ... 
doi:10.1016/j.jtbi.2010.12.001 pmid:21145899 fatcat:34h5bxpnorf5deot3noh55try4

Bond graph modelling of chemoelectrical energy transduction

Peter J. Gawthrop, Ivo Siekmann, Tatiana Kameneva, Susmita Saha, Michael R. Ibbotson, Edmund J. Crampin
2017 IET Systems Biology  
The influx of Na+ is often taken as a proxy for energy consumption; in contrast, this paper presents an energy based model of action potentials.  ...  Our general approach is illustrated by recreating a well-known model of an excitable membrane.  ...  P.G. would like to thank the Melbourne School of Engineering for its support via a Professorial Fellowship.  ... 
doi:10.1049/iet-syb.2017.0006 fatcat:gc7f2wh4zvcetmgottp3br2v6e

Simulation Neurotechnologies for Advancing Brain Research: Parallelizing Large Networks in NEURON

William W. Lytton, Alexandra H. Seidenstein, Salvador Dura-Bernal, Robert A. McDougal, Felix Schürmann, Michael L. Hines
2016 Neural Computation  
We compare three types of networks, composed either of Izhikevich integrate-and-fire neurons, single-compartment Hodgkin-Huxley cells, or a hybrid network with half of each.  ...  Networks with I&F neurons were faster than Hodgkin-Huxley networks, although differences were small since all tested cells were point neurons with a single compartment.  ...  In this paper, we present the details of a NEURON implementation of three different network models featuring: a single compartment Hodgkin-Huxley model connected by excitatory synapses, simple integrate  ... 
doi:10.1162/neco_a_00876 pmid:27557104 pmcid:PMC5295685 fatcat:zn3josvltrcj3a33st7trybtp4

Explanatory models in neuroscience: Part 1 – taking mechanistic abstraction seriously [article]

Rosa Cao, Daniel Yamins
2021 arXiv   pre-print
However, it remains somewhat controversial what it means for a model to describe a mechanism, and whether neural network models qualify as explanatory.  ...  Despite the recent success of neural network models in mimicking animal performance on visual perceptual tasks, critics worry that these models fail to illuminate brain function.  ...  we'll describe a disagreement over whether the Hodgkin-Huxley model of neural firing qualifies as a mechanistic model.  ... 
arXiv:2104.01490v2 fatcat:24fm2ykjjrgddnt442qiowd6du

Neural Dynamics during Anoxia and the "Wave of Death"

Bas-Jan Zandt, Bennie ten Haken, J. Gert van Dijk, Michel J. A. M. van Putten, Olivier Baud
2011 PLoS ONE  
These oscillations can be described by the Hodgkin-Huxley equations for the sodium and potassium channels, and result in a sudden change in mean membrane voltage.  ...  We present a computational model of a single neuron and its intra-and extracellular ion concentrations, which shows the physiological mechanism for this observation.  ...  Methods Biophysical model A biophysically realistic neuron is modeled using Hodgkin-Huxley dynamics of sodium and potassium channels combined with leak currents.  ... 
doi:10.1371/journal.pone.0022127 pmid:21779384 pmcid:PMC3135620 fatcat:joapg5f6njf2heu6xiduugb4yi

Supervised Learning in Multilayer Spiking Neural Networks

Ioana Sporea, André Grüning
2013 Neural Computation  
The current article introduces a supervised learning algorithm for multilayer spiking neural networks.  ...  model.  ...  In Section 4.1 the Hodgkin-Huxley model is briefly described and analysed.  ... 
doi:10.1162/neco_a_00396 pmid:23148411 fatcat:n6wxxkkrobg25gql5fh5lrwvoy

Computational models of epilepsy

Roxana A. Stefanescu, R.G. Shivakeshavan, Sachin S. Talathi
2012 Seizure  
In this review article we present a survey of different computational models for epilepsy and discuss how computer models can aid in our understanding of brain mechanisms in epilepsy and the development  ...  Computational modeling has gained prominence in recent years as an important tool for tackling the complexity of the epileptic phenomenon.  ...  We acknowledge the feedback from Paul Carney for his insights into the readability of the manuscript for a clinical audience.  ... 
doi:10.1016/j.seizure.2012.08.012 pmid:22995680 fatcat:cvhskngawrcu3kgaximxomwhvu

Computational Characterization of the Cellular Origins of Electroencephalography*

Shane Hesprich, Scott Beardsley
2019 2019 9th International IEEE/EMBS Conference on Neural Engineering (NER)  
Additionally, we presented a novel technique, where, through the combination of the DRFs with point source network activity via convolution, dipoles generated by populations of neurons can be simulated  ...  Current dipole moments generated by multiple multi-compartment, morphologically accurate, three dimensional neuron models were characterized into a single time series called a dipole response function  ...  This is where the Hodgkin-Huxley model has one of its most important corollaries.  ... 
doi:10.1109/ner.2019.8716883 dblp:conf/ner/HesprichB19 fatcat:2awshrk6tjd3lfkgkmnj3d25ma
« Previous Showing results 1 — 15 out of 240 results