InforLorV4, Main, Exploration, bibRecord, 000E68

Numerical simulation scheme of one-and two-dimensional neural fields involving space-dependent delays

Identifieur interne : 000E68 ( Main/Exploration ); précédent : 000E67; suivant : 000E69

Numerical simulation scheme of one-and two-dimensional neural fields involving space-dependent delays

Auteurs : Axel Hutt [France] ; Nicolas P. Rougier [France]

Source :

RBID : Hal:hal-00872132

Abstract

Neural Fields describe the spatio-temporal dynamics of neural populations involving spatial axonal connections between neurons. These neuronal connections are delayed due to the finite axonal transmission speeds along the fibers inducing a distance-dependent delay between two spatial locations. The numerical simulation in 1-dimensional neural fields is numerically demanding but may be performed in a reasonable run time by implementing standard numerical techniques. However 2-dimensional neural fields demand a more sophisticated numerical technique to simulate solutions in a reasonable time. The work presented shows a recently developed numerical iteration scheme that allows to speed up standard implementations by a factor 10-20. Applications to some pattern forming systems illustrate the power of the technique.

Url:

https://hal.inria.fr/hal-00872132

Affiliations:

Links toward previous steps (curation, corpus...)

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to stream Hal, to step Curation: 003633
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Le document en format XML

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<tutelle active="#struct-244085" type="direct"><org type="laboratory" xml:id="struct-244085" status="VALID"><orgName>Institut des Maladies Neurodégénératives [Bordeaux]</orgName>
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<desc><address><addrLine>35, place Pey Berland - 33076 Bordeaux</addrLine>
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</address>
<ref type="url">http://www.u-bordeaux.fr/</ref>
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<tutelle name="UMR5293" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno>
<idno type="IdRef">02636817X</idno>
<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
<date type="start">1939-10-19</date>
<desc><address><country key="FR"></country>
</address>
<ref type="url">http://www.cnrs.fr/</ref>
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<country>France</country>
<placeName><settlement type="city">Bordeaux</settlement>
<region type="region" nuts="2">Nouvelle-Aquitaine</region>
<region type="old region" nuts="2">Aquitaine</region>
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<orgName type="university">Université de Bordeaux</orgName>
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<front><div type="abstract" xml:lang="en">Neural Fields describe the spatio-temporal dynamics of neural populations involving spatial axonal connections between neurons. These neuronal connections are delayed due to the finite axonal transmission speeds along the fibers inducing a distance-dependent delay between two spatial locations. The numerical simulation in 1-dimensional neural fields is numerically demanding but may be performed in a reasonable run time by implementing standard numerical techniques. However 2-dimensional neural fields demand a more sophisticated numerical technique to simulate solutions in a reasonable time. The work presented shows a recently developed numerical iteration scheme that allows to speed up standard implementations by a factor 10-20. Applications to some pattern forming systems illustrate the power of the technique.</div>
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<affiliations><list><country><li>France</li>
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<region><li>Aquitaine</li>
<li>Grand Est</li>
<li>Lorraine (région)</li>
<li>Nouvelle-Aquitaine</li>
</region>
<settlement><li>Bordeaux</li>
<li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName><li>Université de Bordeaux</li>
<li>Université de Lorraine</li>
</orgName>
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<tree><country name="France"><region name="Grand Est"><name sortKey="Hutt, Axel" sort="Hutt, Axel" uniqKey="Hutt A" first="Axel" last="Hutt">Axel Hutt</name>
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<name sortKey="Rougier, Nicolas P" sort="Rougier, Nicolas P" uniqKey="Rougier N" first="Nicolas P." last="Rougier">Nicolas P. Rougier</name>
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Numerical simulation scheme of one-and two-dimensional neural fields involving space-dependent delays

Numerical simulation scheme of one-and two-dimensional neural fields involving space-dependent delays

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