Controllability of brain neural networks in learning disorders—a geometric approach
The human brain can be interpreted mathematically as a linear dynamical system that shifts through various cognitive regions promoting more or less complicated behaviors. The dynamics of brain neural network play a considerable role in cognitive function and therefore of interest in the bid to under...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/360711 |
| Acceso en línea: | https://hdl.handle.net/2117/360711 https://dx.doi.org/10.3390/math10030331 |
| Access Level: | acceso abierto |
| Palabra clave: | Eigenvalues Neural networks (Neurobiology) Eigenvectors Linear systems Neural network Controllability Exact controllability Valors propis Xarxes neuronals (Neurobiologia) Vector propis Sistemes lineals Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | The human brain can be interpreted mathematically as a linear dynamical system that shifts through various cognitive regions promoting more or less complicated behaviors. The dynamics of brain neural network play a considerable role in cognitive function and therefore of interest in the bid to understand the learning processes and the evolution of possible disorders. The mathematical theory of systems and control makes available procedures, concepts, and criteria that can be applied to ease the perception of the dynamic processes that administer the evolution of the brain with learning and its control with treatment in case of disorder. In this work, a geometric study through the conception of exact controllability is comprehended to detect the minimum set and the location of the driving nodes of learning. We will describe the different roles of the nodes in the control of the paths of brain networks and show the transition of some driving nodes and the preservation of the rest in the course of learning in patients with some learning disability. |
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