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Methods of causal effect estimation for high-dimensional treatments: A radiotherapy simulation study.

Alexander Jenkins1, Eliana Vasquez Osorio2,3, Andrew Green4

  • 1Department of Electrical and Electronic Engineering, Imperial College London, London, UK.

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Summary

Radiotherapy treatment outcomes were improved using a novel Causal Adaptive Lasso (CAL) estimator, which leverages sparse causal inference. This method significantly reduces bias and mean squared error compared to traditional voxel-based approaches.

Keywords:
causal inferenceradiotherapy outcome modellingvoxel‐based analysis

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Area of Science:

  • Medical Physics
  • Radiotherapy
  • Causal Inference

Background:

  • Radiotherapy treatment outcome analysis is complex due to continuous, spatial, and confounding factors.
  • Existing voxel-based estimators may produce biased results by not employing a causal inference framework.

Purpose of the Study:

  • Propose a novel Causal Adaptive Lasso (CAL) estimator using sparsity within Pearl's causal framework.
  • Address limitations of current voxel-based estimators in radiotherapy dose-outcome analysis.

Main Methods:

  • Simulated 2D radiotherapy treatment plans on grids, incorporating organs at risk and target volumes.
  • Utilized a directed acyclic graph to model causal relationships and confounding factors.
  • Compared CAL against voxel-based regression estimators using simulated planned and delivered doses, evaluating Mean Squared Error (MSE) and bias.

Main Results:

  • CAL estimators significantly outperformed voxel-based estimators, achieving up to a four-order-of-magnitude improvement in total MSE.
  • CAL demonstrated substantially lower bias, particularly in regions with no dose-response.
  • Achieved MSE < 1x10^2 compared to voxel-based MSE ≈ 1x10^6.

Conclusions:

  • Sparse causal inference methods enhance the identification of dose-response regions and improve treatment effect estimation.
  • Causal inference provides a robust framework to overcome limitations inherent in voxel-based radiotherapy analysis.
  • Applying causal inference to clinical data can yield novel insights into treatment complications.