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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

卷:
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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v36.i12.60
pages 51-60

On a Generalized Model of the Gompertzian Dynamics

Vasiliy P. Martsenyuk
Ternopol State I.Ya. Gorbachevskiy Medical University, Ukraine

ABSTRACT

We propose generalization of a model of the Gompertzian dynamics to the case of 2M subpopulations of cancer and n subpopulations of normal cells. The use of m various cytotoxic agents is considered. Problems of optimal control with respect to treatment objectives are formulated. Conditions of the existence and positiveness of model solutions, as well as questions of the existence of equilibrium states, are investigated.


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