A stochastic model in tumor growth

被引：97

作者：

Albano, G. ^{[1
]}

Giorno, V. ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat & Informat, I-84084 Fisciano, SA, Italy

来源：

JOURNAL OF THEORETICAL BIOLOGY | 2006年 / 242卷 / 02期

关键词：

tumor cells kinetic; Gompertz equation; diffusion process; Ornstein-Uhlenbeck process; first exit time problem;

D O I：

10.1016/j.jtbi.2006.03.001

中图分类号：

Q [生物科学];

学科分类号：

07 [理学]; 0710 [生物学]; 09 [农学];

摘要：

A stochastic model of solid tumor growth based on deterministic Gompertz law is presented. Tumor cells evolution is described by a one-dimensional diffusion process limited by two absorbing boundaries representing healing threshold and patient death (carrying capacity), respectively. Via a numerical approach the first exit time problem is analysed for the process inside the region restricted by the boundaries. The proposed model is also implemented to simulate the effects of a time-dependent therapy. Finally, some numerical results are obtained for the specific case of a parathyroid tumor. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：329 / 336

页数：8

共 15 条

[1]

ON THE 2-BOUNDARY 1ST-CROSSING-TIME PROBLEM FOR DIFFUSION-PROCESSES [J].