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Phys Rev E. 2021 Apr;103(4):042405. doi: 10.1103/PhysRevE.103.042405.

Superlinear growth reveals the Allee effect in tumors.

Physical review. E

Youness Azimzade, Abbas Ali Saberi, Robert A Gatenby

Affiliations

  1. Department of Physics, University of Tehran, Tehran 14395-547, Iran.
  2. Department of Physics, University of Tehran, Tehran 14395-547, Iran and Institut für Theoretische Physik, Universitat zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany.
  3. Cancer Biology and Evolution Program, Integrated Mathematical Oncology Department, and Diagnostic Imaging Department, Moffitt Cancer Center, Tampa, Florida 33612, USA.

PMID: 34005934 DOI: 10.1103/PhysRevE.103.042405

Abstract

Integrating experimental data into ecological models plays a central role in understanding biological mechanisms that drive tumor progression where such knowledge can be used to develop new therapeutic strategies. While the current studies emphasize the role of competition among tumor cells, they fail to explain recently observed superlinear growth dynamics across human tumors. Here we study tumor growth dynamics by developing a model that incorporates evolutionary dynamics inside tumors with tumor-microenvironment interactions. Our results reveal that tumor cells' ability to manipulate the environment and induce angiogenesis drives superlinear growth-a process compatible with the Allee effect. In light of this understanding, our model suggests that, for high-risk tumors that have a higher growth rate, suppressing angiogenesis can be the appropriate therapeutic intervention.

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