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Related Experiment Video

Updated: Dec 17, 2025

Tumor Hypoxia Assessment: In Vivo 3D Oxygen Imaging Through Electron Paramagnetic Resonance
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Oxygen in the Tumor Microenvironment: Mathematical and Numerical Modeling.

Edoardo Milotti1, Thierry Fredrich2, Roberto Chignola3

  • 1Department of Physics, University of Trieste, Trieste, Italy. milotti@units.it.

Advances in Experimental Medicine and Biology
|June 25, 2020
PubMed
Summary

Understanding oxygen distribution in tumors is crucial. Mathematical models, incorporating blood vessel networks and pressure, help explain tumor growth, invasion, and metastasis.

Keywords:
Cell-based tumor modelsComputer modelingDarwinian evolution in tumorsLattice-free modelsMathematical modelingMicrocirculationNumerical simulationsRadiation therapyTumor angiogenesisTumor cordsTumor growthTumor hemodynamicsTumor heterogeneityTumor hypoxiaTumor metabolism

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Area of Science:

  • Oncology
  • Mathematical Biology
  • Biophysics

Background:

  • Hypoxia (lack of oxygen) significantly influences tumor evolution, growth, invasion, and metastasis.
  • Accurate assessment of oxygen levels in the tumor microenvironment is vital for understanding cancer progression.

Purpose of the Study:

  • To review mathematical and numerical approaches for modeling oxygen distribution in tumors.
  • To provide insights into the role of blood vessel characteristics and pressure fluctuations on tumor oxygenation.

Main Methods:

  • Utilizing reaction-diffusion equations to model oxygen distribution.
  • Incorporating blood vessel network properties (size, spatial distribution) into models.
  • Considering the impact of pulsatile blood pressure on oxygen levels.

Main Results:

  • Mathematical models offer significant qualitative descriptions of measured tumor oxygen concentrations.
  • Model insights highlight the importance of blood vessel density and size distribution.
  • Fluctuations in blood pressure are identified as a key factor influencing oxygen distribution.

Conclusions:

  • Mathematical modeling is a valuable tool for understanding tumor oxygenation.
  • Blood vessel architecture and dynamics critically affect the tumor microenvironment.
  • Further research into these models can enhance our understanding of tumor behavior and inform therapeutic strategies.