Open AccessMesoscopic model for tumor growth
Author(s) -
Elena Izquierdo-Kulich,
J.M. Nieto-Villar
Publication year - 2007
Publication title -
mathematical biosciences and engineering
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2007.4.687
Subject(s) - mesoscopic physics , universality (dynamical systems) , renormalization group , statistical physics , exponent , growth model , formalism (music) , molecular beam epitaxy , mathematics , physics , mathematical physics , condensed matter physics , materials science , mathematical economics , nanotechnology , epitaxy , philosophy , art , musical , linguistics , visual arts , layer (electronics)
In this work, we propose a mesoscopic model for tumor growth to improve our understanding of the origin of the heterogeneity of tumor cells. In this sense, this stochastic formalism allows us to not only to reproduce but also explain the experimental results presented by Brú. A significant aspect found by the model is related to the predicted values for beta growth exponent, which capture a basic characteristic of the critical surface growth dynamics. According to the model, the value for growth exponent is between 0,25 and 0,5, which includes the value proposed by Kadar-Parisi-Zhang universality class (0,33) and the value proposed by Brú (0,375) related to the molecular beam epitaxy (MBE) universality class. This result suggests that the tumor dynamics are too complex to be associated to a particular universality class.