12–17 Jul 2026
University of Graz
Europe/Vienna timezone

3D reaction-diffusion model-based biopsy simulation for dynamic tumor growth parameter estimation

MS71-12
13 Jul 2026, 18:00
20m
15.06 - HS (University of Graz)

15.06 - HS

University of Graz

92
Minisymposium Talk Numerical, Computational, and Data-Driven Methods Novel Approaches in Mathematical Biology

Speaker

Veronika Hoffman (School of Computation, Information and Technology, Technical University of Munich)

Description

Once diagnosed, cancer requires a fast, inexpensive and reliable assessment of the current state and potential progression of the disease. A new method for estimating tumor cell diffusivity $D$ and proliferation rate $\gamma$ from single-point-in-time routine biopsies aims to deliver just that, and the ratio of its estimates $D/\gamma$ is a promising candidate for a new biomarker for risk-stratification in radiotherapy. Here, we extend the findings of the researchers at MD Anderson Cancer Center \cite{Pasetto.2024}, who developed the method, by providing a simulation-based validation. The method is applied to \textit{in silico} biopsies which are generated by solving the three-dimensional reaction-diffusion (RD) equation for different growth terms (exponential and logistic) with a Dirac-Delta initial condition, and transforming the continuous results into spatial point patterns via a form of reverse coarse-graining.

First results of this validation process have been presented at SMB 2025, which were performed using a less realistic two-dimensional RD equation and an inferior reverse coarse-graining algorithm.

Bibliography

@article{Pasetto.2024,
author = {Pasetto, Stefano and Montejo, Michael and Zahid, Mohammad U. and Rosa, Marilin and Gatenby, Robert and Schlicke, Pirmin and Diaz, Roberto and Enderling, Heiko},
year = {2024},
title = {Calibrating tumor growth and invasion parameters with spectral spatial analysis of cancer biopsy tissues},
pages = {1--9},
volume = {10},
number = {1},
issn = {2056-7189},
journal = {npj Systems Biology and Applications},
doi = {10.1038/s41540-024-00439-0},
file = {Pasetto, Montejo et al. 2024 - Calibrating tumor growth and invasion:Attachments/Pasetto, Montejo et al. 2024 - Calibrating tumor growth and invasion.pdf:application/pdf}
}

Author

Veronika Hoffman (School of Computation, Information and Technology, Technical University of Munich)

Co-authors

Christina Kuttler (School of Computation, Information and Technology, Technical University of Munich) Heiko Enderling (Department of Radiation Oncology, The University of Texas MD Anderson Cancer Center) Jan Zawallich (School of Computation, Information and Technology, Technical University of Munich) Pirmin Schlicke (Department of Radiation Oncology, The University of Texas MD Anderson Cancer Center)

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