Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics
39 pages, 14 figures, 1 table
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/403257 |
| Acceso en línea: | http://hdl.handle.net/10261/403257 |
| Access Level: | acceso abierto |
| Palabra clave: | Neural networks Visual cortex Nonlinear neural interactions Divisive Normalization Wilson–Cowan equations Visual masking Contrast perception |
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Cortical Divisive Normalization from Wilson–Cowan Neural DynamicsMalo, JesúsEsteve-Taboada, J.J.Bertalmio, MarceloNeural networksVisual cortexNonlinear neural interactionsDivisive NormalizationWilson–Cowan equationsVisual maskingContrast perception39 pages, 14 figures, 1 tableDivisive Normalization and the Wilson–Cowan equations are well-known influential models of nonlinear neural interaction (Carandini and Heeger in Nat Rev Neurosci 13(1):51, 2012; Wilson and Cowan in Kybernetik 13(2):55, 1973). However, they have been always treated as different approaches and have not been analytically related yet. In this work, we show that Divisive Normalization can be derived from the Wilson–Cowan dynamics. Specifically, assuming that Divisive Normalization is the steady state of the Wilson–Cowan differential equations, we find that the kernel that controls neural interactions in Divisive Normalization depends on the Wilson–Cowan kernel but also depends on the signal. A standard stability analysis of a Wilson–Cowan model with the parameters obtained from our relation shows that the Divisive Normalization solution is a stable node. This stability suggests the appropriateness of our steady state assumption. The proposed theory provides a mechanistic foundation for the suggestions that have been done on the need of signal-dependent Divisive Normalization in Coen-Cagli et al. (PLoS Comput Biol 8(3):e1002405, 2012). Moreover, this theory explains the modifications that had to be introduced ad hoc in Gaussian kernels of Divisive Normalization in Martinez-Garcia et al. (Front Neurosci 13:8, 2019) to reproduce contrast responses in V1 cortex. Finally, the derived relation implies that the Wilson–Cowan dynamics also reproduce visual masking and subjective image distortion, which up to now had been explained mainly via Divisive Normalization.This work was partially funded by the Spanish Ministerio de Ciencia e Innovación (MICIIN/FEDER/UE) projects PID2020-118071GB-I00 and PDC2021-121522-C21 and by the Generalitat Valenciana Grants GrisoliaP/2019/035 and CIPROM/2021/056. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.Springer NatureMinisterio de Ciencia e Innovación (España)Generalitat ValencianaCSIC - Unidad de Recursos de Información Científica para la Investigación (URICI)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2025202520242025info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/403257reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-118071GB-I00info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PDC2021-121522-C21http://dx.doi.org/10.1007/s00332-023-10009-zSíinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/4032572026-05-22T06:33:51Z |
| dc.title.none.fl_str_mv |
Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics |
| title |
Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics |
| spellingShingle |
Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics Malo, Jesús Neural networks Visual cortex Nonlinear neural interactions Divisive Normalization Wilson–Cowan equations Visual masking Contrast perception |
| title_short |
Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics |
| title_full |
Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics |
| title_fullStr |
Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics |
| title_full_unstemmed |
Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics |
| title_sort |
Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics |
| dc.creator.none.fl_str_mv |
Malo, Jesús Esteve-Taboada, J.J. Bertalmio, Marcelo |
| author |
Malo, Jesús |
| author_facet |
Malo, Jesús Esteve-Taboada, J.J. Bertalmio, Marcelo |
| author_role |
author |
| author2 |
Esteve-Taboada, J.J. Bertalmio, Marcelo |
| author2_role |
author author |
| dc.contributor.none.fl_str_mv |
Ministerio de Ciencia e Innovación (España) Generalitat Valenciana CSIC - Unidad de Recursos de Información Científica para la Investigación (URICI) Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72] |
| dc.subject.none.fl_str_mv |
Neural networks Visual cortex Nonlinear neural interactions Divisive Normalization Wilson–Cowan equations Visual masking Contrast perception |
| topic |
Neural networks Visual cortex Nonlinear neural interactions Divisive Normalization Wilson–Cowan equations Visual masking Contrast perception |
| description |
39 pages, 14 figures, 1 table |
| publishDate |
2024 |
| dc.date.none.fl_str_mv |
2024 2025 2025 2025 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article http://purl.org/coar/resource_type/c_6501 Publisher's version info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/10261/403257 |
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http://hdl.handle.net/10261/403257 |
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#PLACEHOLDER_PARENT_METADATA_VALUE# #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-118071GB-I00 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PDC2021-121522-C21 http://dx.doi.org/10.1007/s00332-023-10009-z Sí |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Springer Nature |
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Springer Nature |
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reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC instname:Consejo Superior de Investigaciones Científicas (CSIC) |
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Consejo Superior de Investigaciones Científicas (CSIC) |
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DIGITAL.CSIC. Repositorio Institucional del CSIC |
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DIGITAL.CSIC. Repositorio Institucional del CSIC |
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15.811543 |