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Monitoring the Cancer-Immunity Cycle and Exploring Tumor Microenvironment Dynamics
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Pattern Formation as a Resilience Mechanism in Cancer Immunotherapy.

Molly Brennan1, Andrew L Krause2, Edgardo Villar-Sepúlveda3

  • 1Department of Mathematics, University College London, 25 Gordon Street, London, WC1H 0AY, United Kingdom.

Bulletin of Mathematical Biology
|July 1, 2025
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Summary
This summary is machine-generated.

Spatial structure in tumors can surprisingly enhance resilience to immunotherapy. Pattern formation can lead to persistent, spatially structured states resistant to treatment, even when homogeneous models predict tumor eradication.

Keywords:
ImmunotherapyPattern FormationResilienceSolid Tumours

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Area of Science:

  • Mathematical oncology
  • Computational biology
  • Cancer research

Background:

  • Mathematical modeling is crucial for understanding cancer treatment and optimizing strategies.
  • Existing models often simplify biological and physical systems, potentially missing key factors like spatial structure.

Purpose of the Study:

  • To investigate the impact of tissue-scale spatial structure on tumor resilience to immunotherapy.
  • To analyze how spatial patterns influence treatment outcomes in a mathematical model of cancer.

Main Methods:

  • Utilized a classical model incorporating interleukin-2 (IL-2) compounds and effector cells.
  • Employed linear stability analysis, numerical continuation, and direct simulations.
  • Examined pattern-forming (Turing) instabilities in diffusing cancer cell populations.

Main Results:

  • Spatially structured tumor states can emerge and persist under immunotherapy, resisting treatment where homogeneous models predict eradication.
  • These patterned states are robust across a range of parameters and time-dependent treatment regimens.
  • Domain boundary treatment can paradoxically increase resistance in the tumor interior, and increased effector cell mobility can enhance tumor resilience.

Conclusions:

  • Tissue-scale spatial structure significantly impacts tumor resilience to immunotherapy.
  • Mathematical models must incorporate spatial dynamics for accurate prediction of treatment efficacy.
  • Findings highlight the importance of spatial considerations in designing effective cancer treatment protocols.