InforLorV4, PascalFrancis, Corpus, bibRecord, 000265

Wave fronts in inhomogeneous neural field models

Identifieur interne : 000265 ( PascalFrancis/Corpus ); précédent : 000264; suivant : 000266

Wave fronts in inhomogeneous neural field models

Auteurs : H. Schmidt ; A. Hutt ; L. Schimansky-Geier

Source :

Physica. D [ 0167-2789 ] ; 2009.

RBID : Pascal:09-0295855

Descripteurs français

Pascal (Inist)
- Front onde, Modèle, Propagation onde, Membrane, Solution stationnaire, Condition existence, Onde progressive, Phénomène non linéaire.

English descriptors

KwdEn :
- Existence condition, Membranes, Models, Non linear phenomenon, Steady state solution, Travelling waves, Wave front, Wave propagation.

Abstract

In this work we investigate the influence of inhomogeneities on wave front propagation in an excitatory neural field model describing synaptic activity in the absence of delays. This allows the derivation of the spatial (and hence temporal) behaviour of the front velocity under the assumption that the front is approximatively homogeneous in a very small time window. With this assumption we can also derive the spatiotemporal behaviour of the membrane potential analytically in the vicinity of the wave front. In addition to this we investigate stationary solutions such as standingwave fronts and localised activity (so-called bumps) to determine the existence condition of travelling and standing fronts. Numerical results are included to point out the accordance of theory and simulation.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

A01	`01`	`1`		`@0 0167-2789`
A02	`01`			`@0 PDNPDT`
A03		`1`		`@0 Physica, D`
A05				`@2 238`
A06				`@2 14`
A08	`01`	`1`	`ENG`	`@1 Wave fronts in inhomogeneous neural field models`
A11	`01`	`1`		`@1 SCHMIDT (H.)`
A11	`02`	`1`		`@1 HUTT (A.)`
A11	`03`	`1`		`@1 SCHIMANSKY-GEIER (L.)`
A14	`01`			`@1 Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15 @2 12489 Berlin @3 DEU @Z 1 aut. @Z 3 aut.`
A14	`02`			`@1 LORIA, 615 Rue dujardin Botanique @2 54506 Vandoeuvre-lés-Nancy @3 FRA @Z 2 aut.`
A20				`@1 1101-1112`
A21				`@1 2009`
A23	`01`			`@0 ENG`
A43	`01`			`@1 INIST @2 145D @5 354000188359920010`
A44				`@0 0000 @1 © 2009 INIST-CNRS. All rights reserved.`
A45				`@0 52 ref.`
A47	`01`	`1`		`@0 09-0295855`
A60				`@1 P`
A61				`@0 A`
A64	`01`	`1`		`@0 Physica. D`
A66	`01`			`@0 NLD`
C01	`01`		`ENG`	@0 In this work we investigate the influence of inhomogeneities on wave front propagation in an excitatory neural field model describing synaptic activity in the absence of delays. This allows the derivation of the spatial (and hence temporal) behaviour of the front velocity under the assumption that the front is approximatively homogeneous in a very small time window. With this assumption we can also derive the spatiotemporal behaviour of the membrane potential analytically in the vicinity of the wave front. In addition to this we investigate stationary solutions such as standingwave fronts and localised activity (so-called bumps) to determine the existence condition of travelling and standing fronts. Numerical results are included to point out the accordance of theory and simulation.
C02	`01`	`3`		`@0 001B`
C03	`01`	`3`	`FRE`	`@0 Front onde @5 26`
C03	`01`	`3`	`ENG`	`@0 Wave front @5 26`
C03	`02`	`X`	`FRE`	`@0 Modèle @5 27`
C03	`02`	`X`	`ENG`	`@0 Models @5 27`
C03	`02`	`X`	`SPA`	`@0 Modelo @5 27`
C03	`03`	`3`	`FRE`	`@0 Propagation onde @5 28`
C03	`03`	`3`	`ENG`	`@0 Wave propagation @5 28`
C03	`04`	`3`	`FRE`	`@0 Membrane @5 29`
C03	`04`	`3`	`ENG`	`@0 Membranes @5 29`
C03	`05`	`X`	`FRE`	`@0 Solution stationnaire @5 30`
C03	`05`	`X`	`ENG`	`@0 Steady state solution @5 30`
C03	`05`	`X`	`SPA`	`@0 Solución estacionaria @5 30`
C03	`06`	`X`	`FRE`	`@0 Condition existence @5 31`
C03	`06`	`X`	`ENG`	`@0 Existence condition @5 31`
C03	`06`	`X`	`SPA`	`@0 Condición existencia @5 31`
C03	`07`	`3`	`FRE`	`@0 Onde progressive @5 32`
C03	`07`	`3`	`ENG`	`@0 Travelling waves @5 32`
C03	`08`	`X`	`FRE`	`@0 Phénomène non linéaire @5 33`
C03	`08`	`X`	`ENG`	`@0 Non linear phenomenon @5 33`
C03	`08`	`X`	`SPA`	`@0 Fenómeno no lineal @5 33`
N21				`@1 215`
N44	`01`			`@1 OTO`
N82				`@1 OTO`

Format Inist (serveur)

NO :	PASCAL 09-0295855 INIST
ET :	Wave fronts in inhomogeneous neural field models
AU :	SCHMIDT (H.); HUTT (A.); SCHIMANSKY-GEIER (L.)
AF :	Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15/12489 Berlin/Allemagne (1 aut., 3 aut.); LORIA, 615 Rue dujardin Botanique/54506 Vandoeuvre-lés-Nancy/France (2 aut.)
DT :	Publication en série; Niveau analytique
SO :	Physica. D; ISSN 0167-2789; Coden PDNPDT; Pays-Bas; Da. 2009; Vol. 238; No. 14; Pp. 1101-1112; Bibl. 52 ref.
LA :	Anglais
EA :	In this work we investigate the influence of inhomogeneities on wave front propagation in an excitatory neural field model describing synaptic activity in the absence of delays. This allows the derivation of the spatial (and hence temporal) behaviour of the front velocity under the assumption that the front is approximatively homogeneous in a very small time window. With this assumption we can also derive the spatiotemporal behaviour of the membrane potential analytically in the vicinity of the wave front. In addition to this we investigate stationary solutions such as standingwave fronts and localised activity (so-called bumps) to determine the existence condition of travelling and standing fronts. Numerical results are included to point out the accordance of theory and simulation.
CC :	001B
FD :	Front onde; Modèle; Propagation onde; Membrane; Solution stationnaire; Condition existence; Onde progressive; Phénomène non linéaire
ED :	Wave front; Models; Wave propagation; Membranes; Steady state solution; Existence condition; Travelling waves; Non linear phenomenon
SD :	Modelo; Solución estacionaria; Condición existencia; Fenómeno no lineal
LO :	INIST-145D.354000188359920010
ID :	09-0295855

Links to Exploration step

Pascal:09-0295855

Le document en format XML

<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">Wave fronts in inhomogeneous neural field models</title>
<author><name sortKey="Schmidt, H" sort="Schmidt, H" uniqKey="Schmidt H" first="H." last="Schmidt">H. Schmidt</name>
<affiliation><inist:fA14 i1="01"><s1>Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15</s1>
<s2>12489 Berlin</s2>
<s3>DEU</s3>
<sZ>1 aut.</sZ>
<sZ>3 aut.</sZ>
</inist:fA14>
</affiliation>
</author>
<author><name sortKey="Hutt, A" sort="Hutt, A" uniqKey="Hutt A" first="A." last="Hutt">A. Hutt</name>
<affiliation><inist:fA14 i1="02"><s1>LORIA, 615 Rue dujardin Botanique</s1>
<s2>54506 Vandoeuvre-lés-Nancy</s2>
<s3>FRA</s3>
<sZ>2 aut.</sZ>
</inist:fA14>
</affiliation>
</author>
<author><name sortKey="Schimansky Geier, L" sort="Schimansky Geier, L" uniqKey="Schimansky Geier L" first="L." last="Schimansky-Geier">L. Schimansky-Geier</name>
<affiliation><inist:fA14 i1="01"><s1>Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15</s1>
<s2>12489 Berlin</s2>
<s3>DEU</s3>
<sZ>1 aut.</sZ>
<sZ>3 aut.</sZ>
</inist:fA14>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">INIST</idno>
<idno type="inist">09-0295855</idno>
<date when="2009">2009</date>
<idno type="stanalyst">PASCAL 09-0295855 INIST</idno>
<idno type="RBID">Pascal:09-0295855</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">000265</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Wave fronts in inhomogeneous neural field models</title>
<author><name sortKey="Schmidt, H" sort="Schmidt, H" uniqKey="Schmidt H" first="H." last="Schmidt">H. Schmidt</name>
<affiliation><inist:fA14 i1="01"><s1>Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15</s1>
<s2>12489 Berlin</s2>
<s3>DEU</s3>
<sZ>1 aut.</sZ>
<sZ>3 aut.</sZ>
</inist:fA14>
</affiliation>
</author>
<author><name sortKey="Hutt, A" sort="Hutt, A" uniqKey="Hutt A" first="A." last="Hutt">A. Hutt</name>
<affiliation><inist:fA14 i1="02"><s1>LORIA, 615 Rue dujardin Botanique</s1>
<s2>54506 Vandoeuvre-lés-Nancy</s2>
<s3>FRA</s3>
<sZ>2 aut.</sZ>
</inist:fA14>
</affiliation>
</author>
<author><name sortKey="Schimansky Geier, L" sort="Schimansky Geier, L" uniqKey="Schimansky Geier L" first="L." last="Schimansky-Geier">L. Schimansky-Geier</name>
<affiliation><inist:fA14 i1="01"><s1>Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15</s1>
<s2>12489 Berlin</s2>
<s3>DEU</s3>
<sZ>1 aut.</sZ>
<sZ>3 aut.</sZ>
</inist:fA14>
</affiliation>
</author>
</analytic>
<series><title level="j" type="main">Physica. D</title>
<title level="j" type="abbreviated">Physica, D</title>
<idno type="ISSN">0167-2789</idno>
<imprint><date when="2009">2009</date>
</imprint>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><title level="j" type="main">Physica. D</title>
<title level="j" type="abbreviated">Physica, D</title>
<idno type="ISSN">0167-2789</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Existence condition</term>
<term>Membranes</term>
<term>Models</term>
<term>Non linear phenomenon</term>
<term>Steady state solution</term>
<term>Travelling waves</term>
<term>Wave front</term>
<term>Wave propagation</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr"><term>Front onde</term>
<term>Modèle</term>
<term>Propagation onde</term>
<term>Membrane</term>
<term>Solution stationnaire</term>
<term>Condition existence</term>
<term>Onde progressive</term>
<term>Phénomène non linéaire</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">In this work we investigate the influence of inhomogeneities on wave front propagation in an excitatory neural field model describing synaptic activity in the absence of delays. This allows the derivation of the spatial (and hence temporal) behaviour of the front velocity under the assumption that the front is approximatively homogeneous in a very small time window. With this assumption we can also derive the spatiotemporal behaviour of the membrane potential analytically in the vicinity of the wave front. In addition to this we investigate stationary solutions such as standingwave fronts and localised activity (so-called bumps) to determine the existence condition of travelling and standing fronts. Numerical results are included to point out the accordance of theory and simulation.</div>
</front>
</TEI>
<inist><standard h6="B"><pA><fA01 i1="01" i2="1"><s0>0167-2789</s0>
</fA01>
<fA02 i1="01"><s0>PDNPDT</s0>
</fA02>
<fA03 i2="1"><s0>Physica, D</s0>
</fA03>
<fA05><s2>238</s2>
</fA05>
<fA06><s2>14</s2>
</fA06>
<fA08 i1="01" i2="1" l="ENG"><s1>Wave fronts in inhomogeneous neural field models</s1>
</fA08>
<fA11 i1="01" i2="1"><s1>SCHMIDT (H.)</s1>
</fA11>
<fA11 i1="02" i2="1"><s1>HUTT (A.)</s1>
</fA11>
<fA11 i1="03" i2="1"><s1>SCHIMANSKY-GEIER (L.)</s1>
</fA11>
<fA14 i1="01"><s1>Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15</s1>
<s2>12489 Berlin</s2>
<s3>DEU</s3>
<sZ>1 aut.</sZ>
<sZ>3 aut.</sZ>
</fA14>
<fA14 i1="02"><s1>LORIA, 615 Rue dujardin Botanique</s1>
<s2>54506 Vandoeuvre-lés-Nancy</s2>
<s3>FRA</s3>
<sZ>2 aut.</sZ>
</fA14>
<fA20><s1>1101-1112</s1>
</fA20>
<fA21><s1>2009</s1>
</fA21>
<fA23 i1="01"><s0>ENG</s0>
</fA23>
<fA43 i1="01"><s1>INIST</s1>
<s2>145D</s2>
<s5>354000188359920010</s5>
</fA43>
<fA44><s0>0000</s0>
<s1>© 2009 INIST-CNRS. All rights reserved.</s1>
</fA44>
<fA45><s0>52 ref.</s0>
</fA45>
<fA47 i1="01" i2="1"><s0>09-0295855</s0>
</fA47>
<fA60><s1>P</s1>
</fA60>
<fA61><s0>A</s0>
</fA61>
<fA64 i1="01" i2="1"><s0>Physica. D</s0>
</fA64>
<fA66 i1="01"><s0>NLD</s0>
</fA66>
<fC01 i1="01" l="ENG"><s0>In this work we investigate the influence of inhomogeneities on wave front propagation in an excitatory neural field model describing synaptic activity in the absence of delays. This allows the derivation of the spatial (and hence temporal) behaviour of the front velocity under the assumption that the front is approximatively homogeneous in a very small time window. With this assumption we can also derive the spatiotemporal behaviour of the membrane potential analytically in the vicinity of the wave front. In addition to this we investigate stationary solutions such as standingwave fronts and localised activity (so-called bumps) to determine the existence condition of travelling and standing fronts. Numerical results are included to point out the accordance of theory and simulation.</s0>
</fC01>
<fC02 i1="01" i2="3"><s0>001B</s0>
</fC02>
<fC03 i1="01" i2="3" l="FRE"><s0>Front onde</s0>
<s5>26</s5>
</fC03>
<fC03 i1="01" i2="3" l="ENG"><s0>Wave front</s0>
<s5>26</s5>
</fC03>
<fC03 i1="02" i2="X" l="FRE"><s0>Modèle</s0>
<s5>27</s5>
</fC03>
<fC03 i1="02" i2="X" l="ENG"><s0>Models</s0>
<s5>27</s5>
</fC03>
<fC03 i1="02" i2="X" l="SPA"><s0>Modelo</s0>
<s5>27</s5>
</fC03>
<fC03 i1="03" i2="3" l="FRE"><s0>Propagation onde</s0>
<s5>28</s5>
</fC03>
<fC03 i1="03" i2="3" l="ENG"><s0>Wave propagation</s0>
<s5>28</s5>
</fC03>
<fC03 i1="04" i2="3" l="FRE"><s0>Membrane</s0>
<s5>29</s5>
</fC03>
<fC03 i1="04" i2="3" l="ENG"><s0>Membranes</s0>
<s5>29</s5>
</fC03>
<fC03 i1="05" i2="X" l="FRE"><s0>Solution stationnaire</s0>
<s5>30</s5>
</fC03>
<fC03 i1="05" i2="X" l="ENG"><s0>Steady state solution</s0>
<s5>30</s5>
</fC03>
<fC03 i1="05" i2="X" l="SPA"><s0>Solución estacionaria</s0>
<s5>30</s5>
</fC03>
<fC03 i1="06" i2="X" l="FRE"><s0>Condition existence</s0>
<s5>31</s5>
</fC03>
<fC03 i1="06" i2="X" l="ENG"><s0>Existence condition</s0>
<s5>31</s5>
</fC03>
<fC03 i1="06" i2="X" l="SPA"><s0>Condición existencia</s0>
<s5>31</s5>
</fC03>
<fC03 i1="07" i2="3" l="FRE"><s0>Onde progressive</s0>
<s5>32</s5>
</fC03>
<fC03 i1="07" i2="3" l="ENG"><s0>Travelling waves</s0>
<s5>32</s5>
</fC03>
<fC03 i1="08" i2="X" l="FRE"><s0>Phénomène non linéaire</s0>
<s5>33</s5>
</fC03>
<fC03 i1="08" i2="X" l="ENG"><s0>Non linear phenomenon</s0>
<s5>33</s5>
</fC03>
<fC03 i1="08" i2="X" l="SPA"><s0>Fenómeno no lineal</s0>
<s5>33</s5>
</fC03>
<fN21><s1>215</s1>
</fN21>
<fN44 i1="01"><s1>OTO</s1>
</fN44>
<fN82><s1>OTO</s1>
</fN82>
</pA>
</standard>
<server><NO>PASCAL 09-0295855 INIST</NO>
<ET>Wave fronts in inhomogeneous neural field models</ET>
<AU>SCHMIDT (H.); HUTT (A.); SCHIMANSKY-GEIER (L.)</AU>
<AF>Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15/12489 Berlin/Allemagne (1 aut., 3 aut.); LORIA, 615 Rue dujardin Botanique/54506 Vandoeuvre-lés-Nancy/France (2 aut.)</AF>
<DT>Publication en série; Niveau analytique</DT>
<SO>Physica. D; ISSN 0167-2789; Coden PDNPDT; Pays-Bas; Da. 2009; Vol. 238; No. 14; Pp. 1101-1112; Bibl. 52 ref.</SO>
<LA>Anglais</LA>
<EA>In this work we investigate the influence of inhomogeneities on wave front propagation in an excitatory neural field model describing synaptic activity in the absence of delays. This allows the derivation of the spatial (and hence temporal) behaviour of the front velocity under the assumption that the front is approximatively homogeneous in a very small time window. With this assumption we can also derive the spatiotemporal behaviour of the membrane potential analytically in the vicinity of the wave front. In addition to this we investigate stationary solutions such as standingwave fronts and localised activity (so-called bumps) to determine the existence condition of travelling and standing fronts. Numerical results are included to point out the accordance of theory and simulation.</EA>
<CC>001B</CC>
<FD>Front onde; Modèle; Propagation onde; Membrane; Solution stationnaire; Condition existence; Onde progressive; Phénomène non linéaire</FD>
<ED>Wave front; Models; Wave propagation; Membranes; Steady state solution; Existence condition; Travelling waves; Non linear phenomenon</ED>
<SD>Modelo; Solución estacionaria; Condición existencia; Fenómeno no lineal</SD>
<LO>INIST-145D.354000188359920010</LO>
<ID>09-0295855</ID>
</server>
</inist>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/PascalFrancis/Corpus

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000265 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/PascalFrancis/Corpus/biblio.hfd -nk 000265 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    PascalFrancis
   |étape=   Corpus
   |type=    RBID
   |clé=     Pascal:09-0295855
   |texte=   Wave fronts in inhomogeneous neural field models
}}

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022

	Serveur d'exploration sur la recherche en informatique en Lorraine
	Attention, ce site est en cours de développement ! Attention, site généré par des moyens informatiques à partir de corpus bruts. Les informations ne sont donc pas validées.

Serveur d'exploration sur la recherche en informatique en Lorraine

Wave fronts in inhomogeneous neural field models

Wave fronts in inhomogeneous neural field models

Source :

Descripteurs français

English descriptors

Abstract

Notice en format standard (ISO 2709)

Format Inist (serveur)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri