期刊
JOURNAL OF THEORETICAL BIOLOGY
卷 248, 期 2, 页码 317-321出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2007.04.024
关键词
tumour cell growth; Gompertz law; ornstein-uhlenbeck process; Fokker-Planck equation
In this communication, based upon the deterministic Gompertz law of cell growth, a stochastic model in turnout growth is proposed. This model takes account of both cell fission and mortality too. The corresponding density function of the size of the tumour cells obeys a functional Fokker-Planck equation which can be solved analytically. It is found that the density function exhibits an interesting multi-peak structure generated by cell fission as time evolves. Within this framework the action of therapy is also examined by simply incorporating a therapy term into the deterministic cell growth term. (c) 2007 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据