Mathematical Model and Numerical Simulation for Tissue Growth on Bioscaffolds

Applied Sciences

Chaeyoung Lee¹  Junseok Kim¹  Sungha Yoon¹  Jintae Park¹  HyunGeun Lee² 

[1] Department of Mathematics, Korea University, Seoul 02841, Korea;Department of Mathematics, Kwangwoon University, Seoul 01897, Korea;

关键词: tissue growth;    bioscaffold;    allen–cahn equation;    triply periodic minimal surface;   

DOI  :  10.3390/app9194058

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown