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Updated: Jan 9, 2026

Using Human Differentially Expressed Gene Lists to Perform Downstream Pathway Enrichment Analysis and Target Prioritization
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Probabilistic clinical target definition with nearest neighbor correlation.

Luciano Rivetti1,2, Gregory Buti2, Lucas Amoudruz3

  • 1Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia.

Physics in Medicine and Biology
|December 9, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces novel stochastic models to estimate microscopic tumor presence probability, improving clinical target volume delineation in radiotherapy. These models use spatial correlations to better capture sub-visual disease spread.

Keywords:
clinical target mapmicroscopic tumor presencemicroscopic tumor spreadprobabilistic CTV definitionprobabilistic target definitionspatial correlation modelingstochastic tumor modeling

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Area of Science:

  • Radiotherapy
  • Medical Imaging
  • Computational Biology

Background:

  • Clinical target volume (CTV) delineation in radiotherapy is limited by the invisibility of microscopic disease on medical images.
  • Current guidelines propose a probabilistic interpretation of CTV but lack methods to compute microscopic tumor presence (MTP) probability.
  • This study addresses the gap in probabilistic MTP estimation.

Purpose of the Study:

  • To develop novel stochastic models for estimating the probability of microscopic tumor presence (MTP) at the voxel level.
  • To incorporate local spatial correlations within voxel neighborhoods to improve MTP estimation.
  • To provide a statistically consistent framework for probabilistic CTV definition.

Main Methods:

  • Developed two first-principles stochastic models: constant marginal probability (CMP) and variable marginal probability (VMP).
  • The CMP model assumes uniform MTP, suitable for tumors without radial dependence from the gross tumor volume (GTV).
  • The VMP model incorporates radial dependence, modeling decreasing MTP with distance from the GTV.

Main Results:

  • Both CMP and VMP models accurately reproduced MTP presence fractions.
  • CMP model estimated a 0.03 marginal probability of MTP in prostate cancer.
  • VMP model replicated radial tumor islet distribution in breast and lung cancer with low mean absolute errors.

Conclusions:

  • The proposed stochastic models offer a statistically consistent framework for probabilistic CTV delineation.
  • These models enhance the understanding of microscopic disease spread by incorporating local voxel correlations.
  • The models provide a novel approach to address uncertainties in radiotherapy planning.