INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
Interfacial properties in a discrete model for tumor growth
B. MOGLIA; GUISONI, N.; E V ALBANO
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Año: 2013 vol. 87 p. 32713 - 32723
We propose and study, bymeans ofMonte Carlo numerical simulations, a minimal discrete model for avasculartumor growth, which can also be applied for the description of cell cultures in vitro. The interface of the tumor isself-affine and its width can be characterized by the following exponents: (i) the growth exponent β = 0.32(2) thatgoverns the early time regime, (ii) the roughness exponent α = 0.49(2) related to the fluctuations in the stationaryregime, and (iii) the dynamic exponent z = α/β 1.49(2), which measures the propagation of correlations inthe direction parallel to the interface, e.g., ξ ∝ t 1/z, where ξ is the parallel correlation length. Therefore, theinterface belongs to the Kardar-Parisi-Zhang universality class, in agreement with recent experiments of cellcultures in vitro. Furthermore, density profiles of the growing cells are rationalized in terms of traveling wavesthat are solutions of the Fisher-Kolmogorov equation. In this way, we achieved excellent agreement between thesimulation results of the discrete model and the continuous description of the growth front of the culture or tumor.