Izquierdo-Kulich Elena, Nieto-Villar José Manuel
Departamento de Ingeniería Química. Facultad de Ingeniería Química. Instituto Superior Politécnico, CUJAE, Havana, Cuba.
Math Biosci Eng. 2007 Oct;4(4):687-98. doi: 10.3934/mbe.2007.4.687.
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.
在这项工作中,我们提出了一个肿瘤生长的介观模型,以增进我们对肿瘤细胞异质性起源的理解。从这个意义上说,这种随机形式主义使我们不仅能够重现,还能解释Brú提出的实验结果。该模型发现的一个重要方面与β生长指数的预测值有关,它捕捉了临界表面生长动力学的一个基本特征。根据该模型,生长指数的值在0.25到0.5之间,其中包括Kadar-Parisi-Zhang普适类提出的值(0.33)以及与分子束外延(MBE)普适类相关的Brú提出的值(0.375)。这一结果表明,肿瘤动力学过于复杂,无法与特定的普适类相关联。