Mathematisches Forschungskolloquium 2025
Das Forschungskolloquium betrachtet mathematische Themen tiefergreifend und differenziert. So soll ein Austausch über die mathematischen Spezialisierungen der verschiedenen Arbeitsgruppen am Institut und darüber hinaus gefördert werden. Außerdem sollen auch Studierende (hauptsächlich Master-Studierende) durch das Kolloquium die Gelegenheit erhalten, sich über spezifische Aspekte mathematischer Themen zu informieren.
Institutskolloquium mit Herrn Prof Dr. Konstantinos Spiliotis (Demokritus University of Thrace, Greece)
"Mathematical Modelling and Analysis of Neuronal Network Activity for Movement Disorders and Deep Brain Stimulation (DBS)"
Studying and exploring mechanisms in neuroscience, mathematical models and methods are powerful tools being complementary to medical experiments. In this work, recent developments of mathematical models and methods are presented which were done at the University of Rostock (under SFB 1270/2 -Elaine) to better understand movement disorders, i.e., Parkinson’s disease (PD) and Dystonia. The model contains parts of the cortex-thalamus-basal ganglia (CTBG) and striatum, forming a large-scale biophysical network. Using the mathematical model, we explore the network dynamics and the transition from healthy to Parkinsonian behaviour.
Additionally, we studied the dynamics of the striatum area, which is central to motor and cognitive functions. The striatum model uses modified Hodgkin-Huxley dynamics for neurons and connectivity informed by a detailed human atlas. In this slow-fast complex system, different spatiotemporal activity patterns emerge during healthy and pathological states (neurological disorder), depending on the intensity of the cortical inputs. The equation-free approach enables a numerical analysis of the macroscopic dynamics of the striatum network, including numerical bifurcation and stability analysis. Finally, the effect of deep brain stimulation on the spatiotemporal pattern formation in the network is discussed, and strategies for an efficient treatment are proposed.
Mittwoch, 15.01.2025, 15:15 Uhr, Ulmenstr. 69, Haus 3, HS 326/327
→ Auch interessierte Studierende sind herzlich eingeladen.