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Related Concept Videos

The Tumor Microenvironment02:17

The Tumor Microenvironment

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Every normal cell or tissue is embedded in a complex local environment called stroma, consisting of different cell types, a basal membrane, and blood vessels. As normal cells mutate and develop into cancer cells, their local environment also changes to allow cancer progression. The tumor microenvironment (TME) consists of a complex cellular matrix of stromal cells and the developing tumor. The cross-talk between cancer cells and surrounding stromal cells is critical to disrupt normal tissue...
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Related Experiment Video

Updated: Aug 30, 2025

Heterogeneity Mapping of Protein Expression in Tumors using Quantitative Immunofluorescence
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Tumor Biochemical Heterogeneity and Cancer Radiochemotherapy: Network Breakdown Zone-Model.

Argyris Dimou1, Panos Argyrakis1, Raoul Kopelman2

  • 1Department of Physics and Complexity Center, University of Thessaloniki, 54124 Thessaloniki, Greece.

Entropy (Basel, Switzerland)
|August 26, 2022
PubMed
Summary
This summary is machine-generated.

Mathematical models show that reduced cell removal in tumor networks explains incomplete breakdown during radiochemotherapy. Tumor microenvironment heterogeneity impacts treatment efficacy, guiding precision oncology strategies.

Keywords:
hypoxia heterogeneityinverse percolation shell modelmonte-carlo simulationsnetwork breakdownoncology radiation modellingtumor radiotherapy

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Area of Science:

  • Network Science
  • Cancer Biology
  • Mathematical Oncology

Background:

  • Tumor network breakdown under radiochemotherapy can be incomplete due to physical or chemical tumor heterogeneity.
  • Erdos-Renyi random networks serve as mathematical models to study these breakdowns.
  • Understanding this incompleteness is crucial for improving cancer treatment efficacy.

Purpose of the Study:

  • To investigate two-zone random networks as models for incomplete tumor breakdown.
  • To quantitatively describe how reduced node removal probability in a network's inner zone affects overall breakdown.
  • To explore the impact of tumor microenvironment (TME) chemical heterogeneity on radiochemotherapy efficacy.

Main Methods:

  • Utilizing two-zone Erdős-Rényi random networks as mathematical models.
  • Analyzing network breakdown by examining the largest remaining clusters and their size distributions.
  • Quantifying the relationship between reduced inner zone removal probability and network fragmentation.

Main Results:

  • Reduced node removal probability in the inner zone significantly hampers overall network breakdown.
  • The degree of network breakdown is quantitatively dependent on the reduction in the inner zone's removal probability.
  • This mathematical framework elucidates how TME heterogeneity can lead to incomplete tumor response.

Conclusions:

  • Mathematical modeling of heterogeneous networks provides insights into incomplete tumor breakdown during radiochemotherapy.
  • TME chemical heterogeneity plays a critical role in modulating treatment efficacy.
  • Imaging TME chemical heterogeneity could inform personalized precision oncology approaches.