Statistical Ensemble Theory of Gompertz Growth Model

Entropy

关键词: Gompertz function;    tumour growth;    Bose-Einstein statistics;    entropy;   

DOI  :  10.3390/e11040807

来源: mdpi

【 摘 要 】

An ensemble formulation for the Gompertz growth function within the framework of statistical mechanics is presented, where the two growth parameters are assumed to be statistically distributed. The growth can be viewed as a self-referential process, which enables us to use the Bose-Einstein statistics picture. The analytical entropy expression pertain to the law can be obtained in terms of the growth velocity distribution as well as the Gompertz function itself for the whole process.

【 授权许可】

CC BY   
© 2009 by the authors; licensee Molecular Diversity Preservation International, Basel, Switzerland.