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Multiphase Models for Moving Boundary Problems in Biology

  • Ishraq U. Ahmed,
  • Jennifer A. Flegg,
  • Claire Miller,
  • Ricardo Ruiz-Baier,
  • Joshua Won,
  • Adriana Zanca

摘要

We address the modelling of tissue deformation using mixture theory. The governing equations consist of mass and momentum balances for two phases, and are written in Eulerian and Lagrangian frameworks using an active stress approach. We specify the general formulation for relatively simple representative examples in the context of tumour growth and early stages of atherosclerotic plaque development.