A stochastic Gompertz model with logarithmic therapy functions: Parameters estimation

被引：11
|
作者：
Moummou, El Kettani [1 ]
Gutierrez, R. [1 ]
Gutierrez-Sanchez, R. [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Stat & Operat Res, E-18071 Granada, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 08期
关键词：
Stochastic Gompertz model; Therapy function; Orthogonal projector; Parameter estimation; GROWTH; TUMORS;
D O I：
10.1016/j.amc.2012.09.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the estimation of the parameters of interest in the drift coefficient of a stochastic Gompertz model with logarithmic therapeutic functions. The maximum likelihood method produces non-linear equations and the estimation of these parameters, specially of the tumor growth deceleration factor, have only been achieved to date through numerically-based approaches. The proposed method in this paper provides explicit expressions for the parameter estimators which, we shall be able, in future work, to study its statistical properties. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：3729 / 3739
页数：11
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