Dynamics of the cell and its extracellular matrix--a simple mathematical approach.

The extracellular matrix (ECM) is produced by the cells and secreted into the surrounding medium, and consists of a complex mixture of structural and functional proteins. It has been recently observed that the ECM can influence the behavior of cell growth in vitro quite remarkably. A simple mathematical model has been constructed based on negative feedback control mechanisms to represent the dynamics of ECM deposition and cellular differentiation. The model analysis shows a strong relationship between the numerical solution and the experimental observations in cell-polymer constructs for the design of engineered cartilage. The current paper may be a useful guide for those who want to explore the studies on cell-matrix interactions.