LOGISTIC TUMOR GROWTH WITH DELAY AND IMPULSIVE TREATMENT

被引:5
|
作者
Forys, Urszula [1 ,2 ]
Poleszczuk, Jan [3 ]
Liu, Ting [1 ]
机构
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
[2] Univ Warsaw, Inst Appl Math & Mech, Fac Math Informat & Mech, PL-02097 Warsaw, Poland
[3] Univ Warsaw, Coll Interfac Individual Studies Math & Nat Sci, PL-02097 Warsaw, Poland
关键词
asymptotic analysis; delay differential equations; glioblastoma multiforme; impulsive treatment; radiotherapy; solid tumor; SIR EPIDEMIC MODEL; DIFFERENTIAL EQUATIONS; PULSE VACCINATION; PERIODIC-SOLUTION; POPULATION; IMMUNOTHERAPY; EXISTENCE; CANCER;
D O I
10.1080/08898480.2013.804688
中图分类号
C921 [人口统计学];
学科分类号
摘要
A logistic equation with delay introduced into net growth describes an initial stage of solid tumor growth. Impulses describe external interference, such as radiotherapy. Examination of different treatment protocols showed that the one with constant dosage is better than with increasing or decreasing dose.
引用
收藏
页码:146 / 158
页数:13
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