A Learnable Prior Improves Inverse Tumor Growth Modeling
Biophysical modeling, particularly involving partial differential equations (PDEs), offers significant potential for tailoring disease treatment protocols to individual patients. However, the inverse problem-solving aspect of these models presents a substantial challenge, either due to the high computational requirements of model-based approaches or the limited robustness of deep learning (DL) methods. We propose a novel framework that leverages the unique strengths of both approaches in a synergistic manner. Our method incorporates a DL ensemble for initial parameter estimation, facilitating efficient downstream evolutionary sampling initialized with this DL-based prior. We showcase the effectiveness of integrating a rapid deep-learning algorithm with a high-precision evolution strategy in estimating brain tumor cell concentrations from magnetic resonance images. The DL-Prior plays a pivotal role, significantly constraining the effective sampling-parameter space. This reduction results in a fivefold convergence acceleration and a Dice-score of 95%.
Authors
- Bjoern Menze (ORCID: https://orcid.org/0000-0003-4136-5690)
- Daniel Rueckert (ORCID: https://orcid.org/0000-0002-5683-5889)
- Marie‐Christin Metz (ORCID: https://orcid.org/0000-0002-1459-5741)
- Jana Lipková (ORCID: https://orcid.org/0000-0001-8101-4794)
- Jonas Latz (ORCID: https://orcid.org/0000-0002-4600-0247)
- Sebastian Kaltenbach (ORCID: https://orcid.org/0000-0002-4261-7282)
- Ivan Ezhov (ORCID: https://orcid.org/0000-0002-0862-6513)
- Benedikt Wiestler (ORCID: https://orcid.org/0000-0002-2963-7772)
- Michał Balcerak (ORCID: https://orcid.org/0009-0006-3137-7048)
- Leonhard Feiner (ORCID: https://orcid.org/0000-0002-5299-7311)
- Laurin Lux (ORCID: https://orcid.org/0009-0003-7359-6212)
- Sergey Litvinov
- Florian Kofler (ORCID: https://orcid.org/0000-0003-0642-7884)
- Jonas Weidner (ORCID: https://orcid.org/0009-0003-6784-9738)
Institutions
- Harvard University (US)
- University of Zurich (CH)
- University of California, Irvine (US)
- University of Manchester (GB)
- Helmholtz Zentrum München (DE)
- Institute of Group Analysis (GB)
- Imperial College London (GB)
- Technical University of Munich (DE)
Publication Details
- Journal
- IEEE Transactions on Medical Imaging
- Published
- 2024-11-08
- DOI
- https://doi.org/10.1109/tmi.2024.3494022
- Citations
- 5
- Primary Topic
- Mathematical Biology Tumor Growth
- Type
- article
- Field-Weighted Citation Impact
- 1.98
Funders
- Deutsche Forschungsgemeinschaft
- National Institutes of Health
- Horizon 2020 Framework Programme