Mathematical model and numerical simulation for tissue growth on bioscaffolds

Hyun Geun Lee, Jintae Park, Sungha Yoon, Chaeyoung Lee, Junseok Kim

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Tissue growth on bioscaffolds can be controlled using substrate geometry such as substrate curvature. In this study, we present a mathematical model and numerical simulation method for tissue growth on a bioscaffold to investigate the effect of local curvature on tissue growth. The mathematical model is based on the Allen-Cahn (AC) equation, which has been extensively used to model many problems involving motion by mean curvature. By solving the AC equation using the explicit Euler method, the proposed method is simple and fast. Numerical simulations on various geometries are presented to demonstrate the applicability of the proposed framework on tissue growth on a bioscaffold.

Original languageEnglish
Article number4058
JournalApplied Sciences (Switzerland)
Issue number19
Publication statusPublished - 2019 Oct 1


  • Allen-Cahn equation
  • Bioscaffold
  • Tissue growth
  • Triply periodic minimal surface

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Engineering(all)
  • Process Chemistry and Technology
  • Computer Science Applications
  • Fluid Flow and Transfer Processes


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