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Modeling Adoptive Cell Therapy in Bladder Cancer from Sparse Biological Data using PINNs
Kayode Olumoyin1, Katarzyna Rejniak2
1H. Lee Moffitt Cancer Center and Research Institute, Integrated Mathematical Oncology Department, Tampa, FL kayode.
Arxiv
|November 24, 2025
Summary
Physics-informed neural networks (PINNs) effectively model cancer treatment dynamics. This approach uses biological constraints to learn complex tumor interactions even with limited data.
Area of Science:
- Computational oncology
- Biomedical modeling
- Machine learning in medicine
Background:
- Physics-informed neural networks (PINNs) integrate differential equations into neural network loss functions.
- Oncology research often faces sparse experimental data, particularly for tumor volume over time.
- Understanding time-varying interactions in the tumor microenvironment is crucial for combination therapy efficacy.
Purpose of the Study:
- To adapt and apply a Physics-informed neural network (PINN) framework to oncology.
- To learn time-varying interactions within a tumor microenvironment during combination therapy.
- To enhance PINN capabilities for handling sparse biological data using prior information and constraints.
Main Methods:
- Extended PINN framework by incorporating inductive biases from dynamical systems.
- Utilized observed biological constraints as regularization agents within the modified PINN algorithm.
- Applied the algorithm to an ordinary differential equation (ODE) model simulating intermittent combination therapy.
Main Results:
- The modified PINN algorithm successfully learned the dynamics of intermittent combination therapy.
- The approach yielded accurate solutions to the ODE model.
- Time-varying forms of ODE model parameters were successfully identified.
- Strong convergence was demonstrated using Mean Squared Error (MSE), Mean Absolute Error (MAE), and Mean Absolute Percentage Error (MAPE).
Conclusions:
- The adapted PINN framework demonstrates robust performance in learning complex biological dynamics from sparse data.
- Incorporating prior knowledge and biological constraints significantly improves PINN generalization and solution accuracy in oncology.
- This method offers a powerful tool for modeling cancer treatment responses and discovering underlying mechanisms.

