Friday, July 14, 2023 - 11:00 in ZiF
A stochastic hierarchical model for low grade glioma evolution
A talk in the SPDEs, optimal control and mean field games series by
Evelyn Buckwar from Linz
| Abstract: |
A stochastic hierarchical model for the evolution of low grade gliomas is proposed.
Starting with the description of cell motion using piecewise diffusion Markov
processes (PDifMPs) at the cellular level, we derive an equation for the density
of the transition probability of this Markov process using the generalised Fokker-Planck
equation. Then a macroscopic model is derived via parabolic limit and Hilbert
expansions in the moment equations. After setting up the model, we perform several
numerical tests to study the role of the local characteristics and the extended
generator of the PDifMP in the process of tumour progression. The main aim focuses
on understanding how the variations of the jump rate function of this process
at the microscopic scale and the diffusion coefficient at the macroscopic scale
are related to the diffusive behaviour of the glioma cells. This is joint work
with Amira Meddah, JKU, and Martina Conte, Politecnico di Torino.
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