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Buckling instability in growing tumor spheroids.

P Ciarletta1

  • 1CNRS and Institut Jean le Rond d'Alembert, UMR 7190, Université Paris 6, 4 place Jussieu case 162, 75005 Paris, France and MOX-Politecnico di Milano and Fondazione CEN, Piazza Leonardo da Vinci 32, 20133 Milano, Italy.

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Summary

Tumor growth generates physical forces that cause instability in heterogeneous tumor spheroids. Residual solid stresses, influenced by cell growth rates and material properties, can promote tumor invasiveness.

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Area of Science:

  • Biophysics
  • Cancer Biology
  • Tumor Microenvironment

Background:

  • Growing tumors experience intrinsic physical forces due to cellular turnover within confined spaces.
  • These forces can lead to mechanical instabilities within the tumor structure.

Purpose of the Study:

  • To investigate the role of residual solid stresses in inducing mechanical instability in heterogeneous tumor spheroids.
  • To determine the key parameters controlling this instability and its effect on tumor morphology.

Main Methods:

  • Modeling heterogeneous tumor spheroids with distinct proliferative outer shells and necrotic inner cores.
  • Analyzing the influence of cellular growth rate ratios, elastic properties, and geometric factors on mechanical stability.
  • Simulating the onset and characteristics of buckling instabilities under residual stress.

Main Results:

  • Residual solid stresses can provoke a buckling instability in heterogeneous tumor spheroids.
  • The growth rate ratio between proliferative cells and the necrotic core acts as a critical control parameter for this instability.
  • The resulting buckled morphology is dependent on the elastic and geometric properties of the tumor components.

Conclusions:

  • Residual solid stresses play a significant role in the mechanical behavior of growing tumors.
  • Tumor-induced mechanical instabilities, driven by residual stresses, may be a key factor in promoting tumor invasiveness.