Dynamic scaling analysis of in vitro and in silico cell cultures

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

BIOMAT 2014 International Symposium on Mathematical and Computational Biology

World Scientific Publishing

Año: 2015; p. 366 - 387

The growth of linear cell colony fronts was investigated from both, experimental and theoretical points of view by means of dynamic scaling techniques. Two different cell lines where studied: Vero and HeLa. Experiments show that the front of Vero cell colonies shift at 0.22 ± 0.02 μm min−1 average constant linear velocity, while for HeLa cell colonies the speed is of 0.09 ± 0.02 μm min−1 . Dynamic scaling analysis 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 β = 0.33 ± 0.04 is derived. From the structure factor analysis a global roughness exponent α = 0.50 ± 0.05 is obtained and a dynamic exponent z = 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 β = 0.32 ± 0.02, a roughness exponent α = 0.48 ± 0.02 and a dynamic exponent z = 1.50 ± 0.02. Again, this set of scaling exponents agreed with those predicted by the Kardar-Parisi-Zhang niversality class.