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Tipping the Balance: A Criticality Perspective.

Indrani Bose1

  • 1Department of Physics, Bose Institute, 93/1, A. P. C. Road, Kolkata 700009, India.

Entropy (Basel, Switzerland)
|March 25, 2022
PubMed
Summary

This study models tumor cells with two subpopulations, finding that environmental coupling (λ) and noise (σ2) control their balance. The tissue microenvironment significantly influences tumor cell phenotypic composition and dominance.

Keywords:
bifurcationsbimodalitycancerentropic measuresnoise-induced transitionphase transitionsphenotypic heterogeneityprobability density functionstochastic potentialtumour population

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Area of Science:

  • Mathematical Biology
  • Cancer Research
  • Systems Biology

Background:

  • Phenotypic heterogeneity is common in cell populations, often manifesting as distinct subpopulations.
  • Tumor growth models frequently involve interactions between cancer-promoting (CP) and non-cancer-promoting (NCP) cells.
  • Stochastic models are crucial for understanding noise-induced transitions in biological systems.

Purpose of the Study:

  • To investigate the phenotypic heterogeneity of tumor cell populations using a two-subpopulation model.
  • To analyze the influence of system-environment coupling (λ) and noise intensity (σ2) on tumor cell dynamics.
  • To compute the λ-σ2 phase diagram and identify transition points between unimodal and bimodal states.

Main Methods:

  • Development of a stochastic model for tumor cell populations with NCP and CP subpopulations.
  • Calculation of the λ-σ2 phase diagram, analogous to phase transitions in statistical physics.
  • Analysis of steady-state probability density functions, variance, and entropic measures to characterize transitions.

Main Results:

  • The model exhibits noise-induced transitions from unimodality to bimodality, similar to population genetics models.
  • A critical transition from subpopulation balance to dominance occurs at λ = 0 in the bimodal region.
  • The NCP subpopulation dominates for positive λ, while the CP subpopulation dominates for negative λ.

Conclusions:

  • System-environment coupling (λ) and noise (σ2) are critical determinants of tumor cell phenotypic composition and dominance.
  • The tissue microenvironment, represented by λ, plays a significant role in regulating tumor progression.
  • Variance and entropic measures serve as reliable indicators of critical transitions in tumor cell dynamics.