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

Learning Optimal Adaptive Therapies in Space and Time: Dynamic Threshold Therapy for Prostate Cancer

14 Jul 2026, 18:30
2h
University of Graz

University of Graz

Poster Mathematical Oncology Poster Presentations

Speaker

Yunli Qi (Wolfson Centre for Mathematical Biology, University of Oxford, Oxford, UK and Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center & Research Institute, Tampa, FL, USA)

Description

BACKGROUND: Adaptive therapy delays drug resistance by modulating treatment instead of continuously applying the maximum tolerated dose \cite{1}. While Deep Reinforcement Learning (DRL) can optimize adaptive therapy in non-spatial, well-mixed deterministic tumor models \cite{2}, extending it to spatial models is challenging because tumor dynamics become stochastic and clinically observable data are limited.
METHODS: We combined DRL with an existing spatial Agent-Based Model \cite{3} and addressed the challenge of stochastic spatial dynamics by introducing a memory mechanism based on historical tumor responses to treatment and holiday periods, using clinically observable tumor burden. We also developed a transfer-learning framework to stabilize learning in stochastic spatial environments.
RESULTS: We found that the memory mechanism can significantly improve time to progression relative to memory-free agents. Besides, we show that decision-relevant information is stored in the memory, allowing the agent to infer latent tumor composition and spatial structure from treatment history. Memory therefore provides a biological interpretation for decision-making by acting as a proxy for hidden tumor state. The learned strategies remained robust under treatment perturbations, and dynamic threshold therapy emerged from memory-informed control.
CONCLUSION: Historical response memory provides an interpretable and robust mechanism for controlling tumors under limited access to spatial data.

Bibliography

@article{1,
title={Integrating evolutionary dynamics into treatment of metastatic castrate-resistant prostate cancer},
author={Zhang, Jingsong and Cunningham, Jessica J and Brown, Joel S and Gatenby, Robert A},
journal={Nature communications},
volume={8},
number={1},
pages={1816},
year={2017},
publisher={Nature Publishing Group UK London}
}

@article{2,
title={Mathematical Model-Driven Deep Learning Enables Personalized Adaptive Therapy},
author={Gallagher, Kit and Strobl, Maximilian AR and Park, Derek S and Spoendlin, Fabian C and Gatenby, Robert A and Maini, Philip K and Anderson, Alexander RA},
journal={Cancer Research},
volume={84},
number={11},
pages={1929--1941},
year={2024},
publisher={AACR}
}

@article{3,
title={Spatial structure impacts adaptive therapy by shaping intra-tumoral competition},
author={Strobl, Maximilian AR and Gallaher, Jill and West, Jeffrey and Robertson-Tessi, Mark and Maini, Philip K and Anderson, Alexander RA},
journal={Communications medicine},
volume={2},
number={1},
pages={46},
year={2022},
publisher={Nature Publishing Group UK London}
}

Author

Yunli Qi (Wolfson Centre for Mathematical Biology, University of Oxford, Oxford, UK and Department of Integrated Mathematical Oncology, H. Lee Moffitt Cancer Center & Research Institute, Tampa, FL, USA)

Co-authors

Alexander Anderson (Moffitt Cancer Center) Kit Gallagher (Harvard Medical School) Maximilan Strobl (The Institute of Cancer Research and Imperial College London) Philip K. Maini Robert Gatenby

Presentation materials

There are no materials yet.