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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2336| Thermodynamic Formalism in Neuronal Dynamics and Spike Train Statistics | |
| RODRIGO COFRE CESAR OCTAVIO MALDONADO AHUMADA Bruno Cessac | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.3390/e22111330 | |
| Thermodynamic Formalism Neuronal networks dynamics Maximum entropy principle Free energy and pressure Linear response Large deviations Ergodic theory | |
| "The Thermodynamic Formalism provides a rigorous mathematical framework for studying quantitative and qualitative aspects of dynamical systems. At its core, there is a variational principle that corresponds, in its simplest form, to the Maximum Entropy principle. It is used as a statistical inference procedure to represent, by specific probability measures (Gibbs measures), the collective behaviour of complex systems. This framework has found applications in different domains of science. In particular, it has been fruitful and influential in neurosciences. In this article, we review how the Thermodynamic Formalism can be exploited in the field of theoretical neuroscience, as a conceptual and operational tool, in order to link the dynamics of interacting neurons and the statistics of action potentials from either experimental data or mathematical models. We comment on perspectives and open problems in theoretical neuroscience that could be addressed within this formalism." | |
| MDPI | |
| 2020 | |
| Artículo | |
| Cofré, R.; Maldonado, C.; Cessac, B. Thermodynamic Formalism in Neuronal Dynamics and Spike Train Statistics. Entropy 2020, 22, 1330. https://doi.org/10.3390/e22111330 | |
| FÍSICA | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Publicaciones Científicas Control y Sistemas Dinámicos |
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|---|---|---|---|
| Entropy22(2020)1330.pdf | 2.39 MB | Adobe PDF | Visualizar/Abrir |