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Oxygen-Driven Tumour Growth Model: A Pathology-Relevant Mathematical Approach.

Juan A Delgado-SanMartin1, Jennifer I Hare2, Alessandro P S de Moura3

  • 1Modelling & Simulation Oncology DMPK, AstraZeneca, Cambridge, United Kingdom; Physics Department, University of Aberdeen, Aberdeen, United Kingdom.

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|October 31, 2015
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Summary
This summary is machine-generated.

Mathematical models of tumor growth face challenges due to differences between animal models and clinical tumors. The Oxygen-Driven Model (ODM) analyzes tumor oxygenation and proliferation, distinguishing between poorly perfused and intrinsically variable tumors.

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Area of Science:

  • Mathematical Oncology
  • Tumor Microenvironment
  • Preclinical Cancer Models

Background:

  • Xenograft models, commonly used in cancer research, exhibit significant differences in vasculature and stromal architecture compared to human tumors.
  • These physiological discrepancies complicate the translation of mathematical model-based predictions from animal studies to clinical outcomes.
  • Understanding tumor progression and physiology differences between animal models and clinical settings is crucial for accurate predictive modeling.

Purpose of the Study:

  • To develop and validate a mathematical model that accounts for tumor pathophysiology, focusing on oxygen dynamics.
  • To investigate how oxygen transport and cellular proliferation rates influence tumor growth and characteristics in preclinical models.
  • To identify distinct physiological profiles of tumors based on key parameters derived from the model.

Main Methods:

  • Proposed the Oxygen-Driven Model (ODM), utilizing oxygen diffusion equations to simulate tumor growth, hypoxia, and necrosis.
  • Defined two key physiological parameters: apparent oxygen uptake rate (k'R) and proliferation rate (kp).
  • Retrospectively analyzed longitudinal tumor volume data from 38 xenografted cell lines and 5 patient-derived xenograft-like models.

Main Results:

  • Identified two distinct groups of cell lines based on parameter space exploration: Group 1 (low k'R, low kp) indicating poor perfusion and slow growth; Group 2 (consistent k'R, variable kp) suggesting similar oxygen transport but intrinsic growth variability.
  • The ODM successfully described tumor growth, hypoxia, and necrosis dynamics.
  • The model's limitations were noted in explant-like animal models due to complex tumor-stromal morphology not fully captured.

Conclusions:

  • The Oxygen-Driven Model (ODM) provides a versatile framework for analyzing tumor physiology and distinguishing between different tumor growth characteristics in preclinical models.
  • The model highlights the importance of oxygen transport (k'R) and proliferation rates (kp) in defining tumor behavior.
  • Future enhancements incorporating stromal interactions are recommended to improve model accuracy for complex preclinical systems and enhance predictions for clinical translation.