Estudi de la dinàmica del model neuronal de Jansen-Rit i la seva incorporació en models de cervell a gran escala
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| Titel: | Estudi de la dinàmica del model neuronal de Jansen-Rit i la seva incorporació en models de cervell a gran escala |
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| Autoren: | Guivernau Roses, Daniel |
| Weitere Verfasser: | Clusella Coberó, Pau, Huguet Casades, Gemma, Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| Quelle: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Verlagsinformationen: | Universitat Politècnica de Catalunya, 2025. |
| Publikationsjahr: | 2025 |
| Schlagwörter: | Àrees temàtiques de la UPC::Matemàtiques i estadística, sistemes complexos, neurociència matemàtica, Sistemes dinàmics diferenciables, dinàmica no-lineal, sistemes dinàmics, columna cortical, Computational neuroscience, inestabilitat transversal, Differentiable dynamical systems, model de Jansen-Rit, Classificació AMS::37 Dynamical systems and ergodic theory::37M Approximation methods and numerical treatment of dynamical systems, bifurcacions, oscil·lacions cerebrals, models de massa neuronal, Neurociència computacional |
| Beschreibung: | This thesis investigates the Jansen-Rit model, a neural mass model which captures cortical column dynamics and is widely used to interpret EEG data. The study explores the model’s construction, and its equilibrium points, oscillatory behaviours and bifurcations using dynamical systems theory. Simulations in Python validate prior results and allow us to draw a bifurcation graph for the model’s equilibrium points. Additionally, the potential of coupling multiple Jansen-Rit models to model large-scale brain networks is analyzed. |
| Publikationsart: | Bachelor thesis |
| Dateibeschreibung: | application/pdf |
| Sprache: | Catalan; Valencian |
| Zugangs-URL: | https://hdl.handle.net/2117/423034 |
| Rights: | CC BY |
| Dokumentencode: | edsair.dedup.wf.002..0f46af45b1a9873fd6409a89d9f84c0d |
| Datenbank: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | This thesis investigates the Jansen-Rit model, a neural mass model which captures cortical column dynamics and is widely used to interpret EEG data. The study explores the model’s construction, and its equilibrium points, oscillatory behaviours and bifurcations using dynamical systems theory. Simulations in Python validate prior results and allow us to draw a bifurcation graph for the model’s equilibrium points. Additionally, the potential of coupling multiple Jansen-Rit models to model large-scale brain networks is analyzed. |
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