Mathematical model and numerical simulation of the cell growth in scaffolds

Darae Jeong, Ana Yun, Junseok Kim

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


A scaffold is a three-dimensional matrix that provides a structural base to fill tissue lesion and provides cells with a suitable environment for proliferation and differentiation. Cell-seeded scaffolds can be implanted immediately or be cultured in vitro for a period of time before implantation. To obtain uniform cell growth throughout the entire volume of the scaffolds, an optimal strategy on cell seeding into scaffolds is important. We propose an efficient and accurate numerical scheme for a mathematical model to predict the growth and distribution of cells in scaffolds. The proposed numerical algorithm is a hybrid method which uses both finite difference approximations and analytic closedform solutions. The effects of each parameter in the mathematical model are numerically investigated. Moreover, we propose an optimization algorithm which finds the best set of model parameters that minimize a discrete l2 error between numerical and experimental data. Using the mathematical model and its efficient and accurate numerical simulations, we could interpret experimental results and identify dominating mechanisms.

Original languageEnglish
Pages (from-to)677-688
Number of pages12
JournalBiomechanics and Modeling in Mechanobiology
Issue number5
Publication statusPublished - 2012 May

Bibliographical note

Funding Information:
Acknowledgments This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government (MEST) (No. 2010-0027813). The authors also thank the anonymous referees for the constructive and helpful comments on the revision of this article.


  • Cell growth
  • Cell mobility
  • Multigrid
  • Numerical simulation
  • Scaffolds

ASJC Scopus subject areas

  • Biotechnology
  • Modelling and Simulation
  • Mechanical Engineering


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