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Event Information:
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Thu28May2026
SC Seminar: Maoni Ngowa Msinda
10:15Hybrid (Room 32-349 and via Zoom)
Maoni Ngowa Msinda, Chair for Scientific Computing (SciComp), RPTU University Kaiserslautern-Landau
Title: Modeling Glioblastoma Plasticity Using Partial Differential Equations and Machine Learning
Abstract:
The integration of mathematical modeling and machine learning is opening new directions in computational oncology. In this work, we present a partial integro-differential equation framework for modeling glioblastoma plasticity, incorporating anisotropic diffusion, convection, nonlocal interactions, and nonlinear reaction dynamics. Numerical simulations are performed using finite-difference discretizations together with fourth-order Runge–Kutta time integration, while parameter estimation is formulated as a PDE-constrained optimization problem. To efficiently compute gradients for large-scale inverse problems, we employ reverse-mode automatic differentiation using the CoDiPack library combined with a two-level uniform checkpointing strategy. Gradient-based optimization methods, including gradient descent and L-BFGS-B, are compared for recovering model parameters from observed tumor data. Finally, we discuss future directions involving spatially varying parameters, clinical data assimilation, and machine learning approaches for accelerated inverse modeling.
How to join online
You can join online via Zoom, using the following link:
https://uni-kl-de.zoom-x.de/j/69269239534?pwd=Z9UOzMpkhMjrxVhll3d49sNHFe9Fd1.1
