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

Mathematical Modeling of Prostate Growth for Digital Twin–Based Monitoring in Active Surveillance

17 Jul 2026, 09:50
20m
01.22 - HS (University of Graz)

01.22 - HS

University of Graz

90
Contributed Talk Mathematical Oncology Contributed Talks

Speaker

Valentin Schmid (Heidelberg Institute for Theoretical Studies HITS gGmbH)

Description

Active surveillance is a common management strategy for patients with low-risk prostate cancer, aiming to delay or avoid invasive treatment while monitoring disease progression. However, interpreting longitudinal observations is challenging because the prostate itself can undergo significant physiological growth due to aging or benign prostatic hyperplasia. These baseline changes may obscure early indicators of clinically relevant disease progression. We present a mathematical framework for modeling prostate organ growth as a first step toward patient-specific digital twins for monitoring prostate cancer under active surveillance. Longitudinal magnetic resonance imaging (MRI) data are processed using automated segmentation methods to extract prostate geometries and estimate organ volumes at multiple time points. These imaging-derived measurements are combined with clinical variables such as prostate-specific antigen (PSA) levels. To describe the temporal evolution of the prostate, we employ a growth model based on partial differential equations that captures the gradual expansion of prostate tissue. Model parameters are estimated from longitudinal imaging data to characterize patient-specific growth trajectories. By explicitly accounting for benign organ growth, the model provides a baseline against which potential tumor-related changes can be assessed, supporting improved interpretation of surveillance data and the development of predictive digital twins.

Author

Valentin Schmid (Heidelberg Institute for Theoretical Studies HITS gGmbH)

Co-authors

Isabel Gernand (Heidelberg Institute for Theoretical Studies (HITS), Germany) Vincent Heuveline (Heidelberg Institute for Theoretical Studies (HITS) and Engineering Mathematics and Computing Lab, IWR, Heidelberg University)

Presentation materials

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