%0 Journal Article
%T The growth dynamics of tumor subject to both immune surveillance and external therapy intervention
%A SHAO YuanZhi
%A ZHONG WeiRong
%A WANG FengHua
%A HE ZhenHui
%A XIA ZhongJun
%A <br>SHAO
%A YuanZhi
%A ZHONG
%A WeiRong
%A WANG
%A FengHua
%A HE
%A ZhenHui
%A XIA
%A ZhongJun
%J 科学通报(英文版)
%D 2007
%I 
%X Considering the growth of tumor cells modeled by an enzyme dynamic process under an immune surveillance, we studied in anti-tumor immunotherapy the single-variable growth dynamics of tumor cells subject to a multiplicative noise and an external therapy intervention simultaneously. The law of tumor growth of the above anti-tumor immunotherapy model was revealed through numerical simulations to the relevant stochastic dynamic differential equation. Two simulative parameters of therapy, i.e., therapy intensity and therapy duty-cycle, were introduced to characterize a treatment process similar to a tumor clinic therapy. There exists a critical therapy boundary which, in an exponent-decaying form, divides the parameter region of therapy into an invalid and a valid treatment zone, respectively. A greater critical therapy duty-cycle is necessary to achieve a valid treatment for a lower therapy intensity while the critical therapy intensity decreases accordingly with an enhancing immunity. A primary clinic observation of the patients with the typical non-hodgekin’s lymphoma was carried out, and there appears a basic agreement between clinic observations and dynamic simulations. Supported by the National Natural Science Foundation of China (Grant No. 60471023)
%K logistic model
%K growth dynamics
%K noise
%K immunity
%K tumor<br>肿瘤学
%K 免疫监视
%K 外部治疗
%K 生长动力学
%K 逻辑模型
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=DD6615BC9D2CFCE0B6F945E8D5314523&aid=7B29C764BF1172FEAFF5FE08F77A20BA&yid=A732AF04DDA03BB3&vid=286FB2D22CF8D013&iid=59906B3B2830C2C5&sid=D9BD5E184C6E559D&eid=EDB2C8F3B92E3D13&journal_id=1001-6538&journal_name=科学通报(英文版)&referenced_num=0&reference_num=20