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Non-convex IMRT treatment planning using deep inverse optimization.

Yang Lei1, Jiahan Zhang1, Tian Liu1

  • 1Department of Radiation Oncology, Icahn School of Medicine at Mount Sinai, New York, New York, USA.

Medical Physics
|November 13, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a novel deep inverse optimization (DIO) method for intensity-modulated radiation therapy (IMRT) planning. The approach efficiently handles complex dose constraints, improving treatment plan quality and significantly reducing optimization time for lung cancer patients.

Keywords:
IMRT auto‐planningdeep inverse optimizationnon‐convex programming

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Area of Science:

  • Radiation Oncology
  • Medical Physics
  • Computational Biology

Background:

  • Intensity-modulated radiation therapy (IMRT) uses inverse optimization for precise dose delivery.
  • Non-convex dose-volume constraints pose significant challenges in IMRT planning due to complexity.
  • Optimizing IMRT plans requires balancing tumor coverage with organ-at-risk (OAR) sparing.

Purpose of the Study:

  • To develop and evaluate a deep inverse optimization (DIO) approach for IMRT fluence map optimization (FMO).
  • To approximate non-convex dose-volume constraints efficiently while maintaining convexity.
  • To improve adherence to clinical dose objectives in IMRT planning.

Main Methods:

  • Introduced a novel relaxation technique using second-order cone constraints to approximate non-convex conditions.
  • Employed a DIO framework to solve the resulting second-order cone programming problem for treatment plan generation.
  • Utilized sequential optimization to balance tumor coverage and OAR sparing in 30 locally advanced non-small cell lung cancer (NSCLC) patient cases.

Main Results:

  • Achieved comparable planning target volume (PTV) coverage with improved dose homogeneity and reduced hotspots.
  • Demonstrated significant OAR sparing, including reduced lung V5Gy, heart V30Gy, and spinal cord maximum dose.
  • Showcased significantly faster optimization convergence (approximately 5 iterations vs. 39).

Conclusions:

  • The proposed DIO method effectively approximates non-convex dose-volume constraints using second-order cone programming.
  • This approach enhances IMRT plan quality through improved dose homogeneity and OAR sparing.
  • The method offers a computationally efficient and practical solution for advanced radiation therapy planning, accelerating optimization convergence.