Articles

Numerical simulation of avascular tumor growth based on p27 gene regulation

Expand
  • 1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China;
    2. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom

Received date: 2012-02-01

  Revised date: 2012-09-16

  Online published: 2013-02-06

Abstract

A multi-scale continuous-discrete model based on the effects of the p27 gene control is built to simulate the avascular tumor growth. At the tissue level, the continuous Eulerian model is adopted to determine the distribution of the concentration of oxygen, the extracellular matrix (ECM), and the matrix-degradative enzyme (MDE). At the cellular level, the discrete Lagrangien model is adopted to determine the movement, the proliferation, and the death of single tumor cells (TCs). At the genetic level, whether a cell is committed to mitosis is determined by solving a set of equations modeling the effects of the p27 gene control. The avascular morphological evolution of the solid tumor growth is simulated, including the radius of the solid tumor, the number of the TCs, the oxygen distribution over time, and the inhibiting effect of the up-regulating p27 gene expression.

Cite this article

Yu ZHOU;Jia-wan CHEN;Xiao-ning DAI;Yan CAI;Wei YAO;Shi-xiong XU;Quan LONG . Numerical simulation of avascular tumor growth based on p27 gene regulation[J]. Applied Mathematics and Mechanics, 2013 , 34(3) : 327 -338 . DOI: 10.1007/s10483-013-1673-6

Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals