Mathematical analysis of colonial formation of embryonic stem cells in microfluidic system

摘要

A fluidic environment affects mechanochemical characteristics of embryonic stem cells (ESCs). Perfu-sion is recognized as an attractive culture mode of ESCs since the steady fluidic state can enhance ESCs' controllability, supporting a unique cell culture condition. Cellular membrane motility presents important information about cellular dynamics such as adhesion, spreading, and migration. Thus, an investigation of the perfusion-induced membrane motility is significant to understand the mechanochemical behavior of ESCs in the steady culture state. In this research, we suggest L_(fr) the ratio of circumferential membrane unattached to other cells' to the cell's circumference, as a new parameter to characterize cells' shape and motility. L_(fr) of embryonic stem cells has positive correlations with cellular area (A_r) and free peripheral length (L_(fr)) but a negative correlation with roundness (R_n). We also propose a mathematical model representing ESCs' membrane motilities and demonstrate their colonical behavior.