NONLINEAR DYNAMICS OF IMMUNOGENIC TUMORS - PARAMETER-ESTIMATION AND GLOBAL BIFURCATION-ANALYSIS
NONLINEAR DYNAMICS OF IMMUNOGENIC TUMORS - PARAMETER-ESTIMATION AND GLOBAL BIFURCATION-ANALYSIS
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DOI：
10.1016/s0092-8240(05)80260-5
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发表时间：
1994-03-01
影响因子：
3.5
通讯作者：
PERELSON, AS
中科院分区：
文献类型：
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作者：
KUZNETSOV, VA;MAKALKIN, IA;PERELSON, AS
我们提出了一个细胞毒性T淋巴细胞对免疫原性肿瘤生长的反应的数学模型。该模型展示了许多在体内可以看到的现象，包括免疫刺激肿瘤生长、“潜入”肿瘤以及形成肿瘤的“休眠状态”。该模型用于描述B淋巴瘤BCL1在小鼠脾内的生长和消退动力学。通过将模型与实验数据进行比较，得出了描述不能在体内测量的过程的参数的数值估计。对于参数的实际值，计算了局部和全局分叉。对于一大组参数，我们预测肿瘤生长过程及其临床表现具有周期性，周期为3至4个月，类似于某些白血病的模式。
We present a mathematical model of the cytotoxic T lymphocyte response to the growth of an immunogenic tumor. The model exhibits a number of phenomena that are seen in vivo, including immunostimulation of tumor growth, ''sneaking through'' of the tumor, and formation of a tumor ''dormant state''. The model is used to describe the kinetics of growth and regression of the B-lymphoma BCL1 in the spleen of mice. By comparing the model with experimental data, numerical estimates of parameters describing processes that cannot be measured in vivo are derived. Local and global bifurcations are calculated for realistic values of the parameters. For a large set of parameters we predict that the course of tumor growth and its clinical manifestation have a recurrent profile with a 3- to 4-month cycle, similar to patterns seen in certain leukemias.