THE REPLICABILITY OF ONCOLYTIC VIRUS: DEFINING CONDITIONS IN TUMOR VIROTHERAPY
THE REPLICABILITY OF ONCOLYTIC VIRUS: DEFINING CONDITIONS IN TUMOR VIROTHERAPY
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DOI：
10.3934/mbe.2011.8.841
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发表时间：
2011-07-01
影响因子：
2.6
通讯作者：
Tian, Jianjun Paul
中科院分区：
文献类型：
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作者：
Tian, Jianjun Paul
溶瘤病毒的可复制性通过其爆发大小来测量。爆发的大小是从受感染的肿瘤细胞裂解出来的新病毒的数量。一些临床证据表明，溶瘤病毒的爆发大小是病毒治疗成功的决定性参数。本文分析了一个基本的数学模型，包括爆发大小溶瘤病毒治疗。对模型的分析表明，爆发大小存在两个阈值：低于第一阈值时，肿瘤总是生长到其最大（承载能力）大小;当超过该阈值时，通过跨临界分岔出现局部稳定的正平衡解;当超过第二阈值时，存在一族或三族由Hopf分岔产生的周期解.该研究表明，无论是在振荡过程中还是当爆发尺寸足够大时，肿瘤负荷都可以下降到无法检测的水平。
The replicability of an oncolytic virus is measured by its burst size. The burst size is the number of new viruses coming out from a lysis of an infected tumor cell. Some clinical evidences show that the burst size of an oncolytic virus is a defining parameter for the success of virotherapy. This article analyzes a basic mathematical model that includes burst size for oncolytic virotherapy. The analysis of the model shows that there are two threshold values of the burst size: below the first threshold, the tumor always grows to its maximum (carrying capacity) size; while passing this threshold, there is a locally stable positive equilibrium solution appearing through transcritical bifurcation; while at or above the second threshold, there exits one or three families of periodic solutions arising from Hopf bifurcations. The study suggests that the tumor load can drop to a undetectable level either during the oscillation or when the burst size is large enough.