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Simulation of 3D tumor cell growth using nonlinear finite element method

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  • Shoubing Dong
  • Yannan Yan
  • Liqun Tang
  • Junping Meng
  • Yi Jiang

Abstract

We propose a novel parallel computing framework for a nonlinear finite element method (FEM)-based cell model and apply it to simulate avascular tumor growth. We derive computation formulas to simplify the simulation and design the basic algorithms. With the increment of the proliferation generations of tumor cells, the FEM elements may become larger and more distorted. Then, we describe a remesh and refinement processing of the distorted or over large finite elements and the parallel implementation based on Message Passing Interface to improve the accuracy and efficiency of the simulation. We demonstrate the feasibility and effectiveness of the FEM model and the parallelization methods in simulations of early tumor growth.

Suggested Citation

  • Shoubing Dong & Yannan Yan & Liqun Tang & Junping Meng & Yi Jiang, 2016. "Simulation of 3D tumor cell growth using nonlinear finite element method," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 19(8), pages 807-818, June.
    • Handle: RePEc:taf:gcmbxx:v:19:y:2016:i:8:p:807-818
    DOI: 10.1080/10255842.2015.1065319
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