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Pharmacodynamic Models: Additive and Proportional Drug Effect Model01:09

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Pharmacodynamic Models: Emax Drug–Concentration Effect Model01:18

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Related Experiment Video

Updated: Jun 6, 2026

Proton Therapy Delivery and Its Clinical Application in Select Solid Tumor Malignancies
08:34

Proton Therapy Delivery and Its Clinical Application in Select Solid Tumor Malignancies

Published on: February 6, 2019

The photon isoeffective dose model for proton therapy.

Lucrecia Mariel Valeriano1,2,3, Ricardo Luis Ramos2,4, Alice Casali2

  • 1Departamento BNCT, Grupo Física Computacional y Biofísica de las Radiaciones (COMPHYAR), Comisión Nacional de Energía Atómica, Buenos Aires, Argentina.

Physics in Medicine and Biology
|June 5, 2026
PubMed
Summary
This summary is machine-generated.

The new Photon Isoeffective Dose (PHID) model offers a cell-specific approach to calculating proton therapy (PT) doses, moving beyond fixed relative biological effectiveness (RBE) assumptions. This advanced model accounts for varying radiation qualities and tissue types for more accurate treatment planning.

Keywords:
BIANCA modelChinese hamster fibroblastshead-and-neck squamous cell carcinomalinear energy transferphoton isoeffective doseproton therapyrelative biological effectiveness

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Published on: May 9, 2014

Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Biophysics

Background:

  • Proton therapy (PT) commonly uses a fixed relative biological effectiveness (RBE) of 1.1 for dose prescription.
  • This assumption overlooks the known variability of RBE with radiation quality, dose, and tissue type.
  • Accurate RBE modeling is crucial for optimizing PT efficacy and minimizing side effects.

Purpose of the Study:

  • Introduce the Photon Isoeffective Dose (PHID) model, a novel formalism for calculating photon isoeffective (IsoE) doses in PT.
  • Develop a cell line-specific model that accounts for complex radiobiological factors.
  • Provide a more accurate alternative to fixed-RBE prescriptions in PT.

Main Methods:

  • The PHID model utilizes the linear-quadratic framework with LET-dependent radiobiological parameters (α and β) from the BIANCA model.
  • It incorporates mixed charged-particle fields, sublethal damage repair, and synergistic effects.
  • PHID was developed for HNSCC, HSF, and V79 cell lines and evaluated using monoenergetic and modulated proton beams.

Main Results:

  • PHID predicts depth- and dose-dependent IsoE doses that differ significantly from RBE-weighted doses, especially near the Bragg peak's distal edge.
  • The model accurately reflects the increase in RBE with increasing Linear Energy Transfer (LET) and decreasing dose per fraction.
  • Alpha particles were identified as significant high-LET contributors, and PHID demonstrated cell line and reference radiation dependence.

Conclusions:

  • The PHID model offers a biophysically grounded alternative to fixed-RBE dose prescriptions in proton therapy.
  • It provides a mechanistic understanding of RBE variations and their impact on dose calculations.
  • The PHID framework is extensible to other particle therapy modalities like carbon-ion and alpha-particle therapy.