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Pulse-resolved tumor control probability modeling for FLASH radiotherapy using a variable-time treatment-course
1IU Health Arnett Hospital, 420 N 26th St., LAFAYETTE, Indiana, 47904, United States.
Physics in Medicine and Biology
|August 3, 2026
Summary
This study introduces TCP_LRF, a new model for FLASH radiotherapy, connecting pulse structure to tumor control probability. FLASH radiotherapy
Area of Science:
- Radiation Oncology
- Radiobiology
- Computational Biology
Background:
- Current tumor control probability (TCP) models often lack resolution for FLASH radiotherapy's rapid dose delivery.
- FLASH radiotherapy utilizes unique pulse and sub-pulse temporal structures, necessitating advanced modeling.
- Integrating FLASH beam microstructure with biological factors like oxygen kinetics and repair is crucial for accurate TCP prediction.
Purpose of the Study:
- To develop TCP_LRF, a pulse-resolved extension of the Lee-Rosen TCP model (TCP_LR).
- To connect FLASH beam microstructure, oxygen/radical kinetics, biological repair, and repopulation within a treatment-course framework.
- To provide a mechanistic platform for hypothesis testing in FLASH radiotherapy.
Main Methods:
- Extended the Lee-Rosen time-dependent TCP formulation (TCP_LR) to TCP_LRF, incorporating a FLASH-aware survival term.
- Utilized a reduced-order ordinary differential equation kernel for oxygen/radical kinetics.
- Modeled each FLASH fraction as a pulse train and compared with standard-dose-rate continuous delivery.
- Verified implementation against established uniform-dose benchmarks.
Main Results:
- Conventional verification reproduced benchmark trends with minimal differences for head-and-neck, breast, and prostate cases.
- In a 3x8 Gy scenario, FLASH TCP varied significantly based on oxygen/radical kinetics (0.713-0.276).
- Standard-dose-rate delivery showed reduced TCP only under deliberately oxygen-limited conditions.
Conclusions:
- TCP_LRF offers a mechanistic treatment-course TCP platform for FLASH radiotherapy research.
- The model demonstrates that FLASH TCP is sensitive to pulse structure, repair dynamics, and oxygen availability.
- This framework allows comparative evaluation of FLASH and standard-dose-rate delivery within a unified variable-time TCP model.
Keywords:
FLASH radiotherapyTCP LRbiological repairoxygen depletionpulse structureradical recombinationtumor control probability
