Dynamic scaling analysis of in vitro and in silico cell cultures

MARÍA ANA HUERGO; BELÉN MOGLIA; EZEQUIEL V. ALBANO; NARA GUISONI

Poznan

Simposio; 14th International Symposium on Mathematical and Computational Biology (BIOMAT 2014); 2014

The growth of linear cell colony fronts was investigated from both, experimental and theoretical points of view by means of dynamic scaling techniques and fractal behaviour. Two different cell lines where studied: Vero and HeLa. Experiments show that the front of Vero cell colonies shift at 0.22 ± 0.02 m min-1 average constant linear velocity , while for HeLa cell colonies the speed is of 0.90 ± 0.05 m min-1. Dynamic scaling analysis of of both cultured Vero and HeLa cell colonies shows that the roughness w versus the system width l log-log plots collapse to a single curve and a growth exponent 0.33 ± 0.02 is derived. From the structure factor analysis a global roughness exponent 0.50 ± 0.05 is obtained and a dynamic exponent 1.5 ± 0.2. This set of exponents fulfils the Family-Vicsek relationship and is consistent with the predictions of the continuous Kardar-Parisi-Zhang model. On the other hand, the numerical simulations of a minimal discrete model for cell cultures in vitro showed that the growing interface is charactertized by a growth exponent 0.32, a roughness exponent 0.49 and a dynamic exponent 1.49. Again, this set of scaling exponents agreed with those predicted by the standard Kardar-Parisi-Zhang continuous equation.