Data-driven parameter identification for tumor growth models
Journal articles
- Journal Article
Liu, L; Wang, Y; Xu, Q; Xu, X
Published in: Journal of Computational and Applied Mathematics
January 1, 2027
Modeling tumor growth accurately is essential for understanding cancer progression and informing treatment strategies. To estimate the parameters in the tumor growth model described by a nonlinear PDE, we adopt Physics-Informed Neural Networks (PINNs) [1] and DeepONet [2], which show advantages especially when the observation data is scarce and contains noise. With the help of real-life lab data, we have demonstrated the potential of applying deep learning tools to address data-driven modeling for tumor growth in biology.
Duke Scholars
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Published In
Journal of Computational and Applied Mathematics
DOI
ISSN
0377-0427
Publication Date
January 1, 2027
Volume
489
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 4613 Theory of computation
Citation
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Liu, L., Wang, Y., Xu, Q., & Xu, X. (2027). Data-driven parameter identification for tumor growth models (Accepted). Journal of Computational and Applied Mathematics, 489. https://doi.org/10.1016/j.cam.2026.117875
Liu, L., Y. Wang, Q. Xu, and X. Xu. “Data-driven parameter identification for tumor growth models (Accepted).” Journal of Computational and Applied Mathematics 489 (January 1, 2027). https://doi.org/10.1016/j.cam.2026.117875.
Liu L, Wang Y, Xu Q, Xu X. Data-driven parameter identification for tumor growth models (Accepted). Journal of Computational and Applied Mathematics. 2027 Jan 1;489.
Liu, L., et al. “Data-driven parameter identification for tumor growth models (Accepted).” Journal of Computational and Applied Mathematics, vol. 489, Jan. 2027. Scopus, doi:10.1016/j.cam.2026.117875.
Liu L, Wang Y, Xu Q, Xu X. Data-driven parameter identification for tumor growth models (Accepted). Journal of Computational and Applied Mathematics. 2027 Jan 1;489.
Published In
Journal of Computational and Applied Mathematics
DOI
ISSN
0377-0427
Publication Date
January 1, 2027
Volume
489
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 4613 Theory of computation