A HYBRID MODEL FOR TUMOR-IMMUNE COMPETITION

被引：0
作者：
Ciancio, A. [1 ]
Quartarone, A. [1 ]
机构：
[1] Univ Messina, Dept Math, I-98166 Messina, Italy
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2013年 / 75卷 / 04期
关键词：
dynamical systems; population models; stochastic dynamical systems; kinetic theory; nonlinearity; SYSTEM COMPETITION; GENERAL FRAMEWORK; REGROWTH; DORMANCY; EVASION; ONSET;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work will be examined a model of the competition between the tumor cells and the immune system, starting from the Kuznetsov's model and using a hybrid model recently proposed in [21]. The description of this phenomenon will be improved in a particular way in its initial phase. There will be considered both cases, the case in which tumor cells avoid the control of the immune system, as well as the stable case, pointing out that the tumor may have a long dormant stage.
引用
收藏
页码：125 / 136
页数：12
相关论文
共 50 条
[41]   MATHEMATICAL MODELING FOR KELOID FORMATION TRIGGERED BY VIRUS: MALIGNANT EFFECTS AND IMMUNE SYSTEM COMPETITION [J].
Bianca, Carlo .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 21 (02) :389-419
[42]   The effect mechanism of polysaccharides inhibit tumor immune escape: A review [J].
Yang, Kun ;
Chen, Jing ;
Chen, Jianping ;
Wang, Zhuo ;
Song, Bingbing ;
Li, Rui ;
Zhong, Saiyi ;
Cheong, Kit-Leong .
JOURNAL OF FUNCTIONAL FOODS, 2023, 107
[43]   Contribution to the study of the effect of the interspecificity on a two nutrients competition model [J].
Borsali, Fethi ;
Yadi, Karim .
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2015, 8 (01)
[44]   Nasal Tumor Vaccination Protects against Lung Tumor Development by Induction of Resident Effector and Memory Anti-Tumor Immune Responses [J].
Donkor, Michael ;
Choe, Jamie ;
Reid, Danielle Marie ;
Quinn, Byron ;
Pulse, Mark ;
Ranjan, Amalendu ;
Chaudhary, Pankaj ;
Jones, Harlan P. .
PHARMACEUTICS, 2023, 15 (02)
[45]   Hybrid SIRS model of infection spread [J].
Shabunin, A. V. .
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENIY-PRIKLADNAYA NELINEYNAYA DINAMIKA, 2022, 30 (06) :717-731
[46]   A mathematical model of immune response in cutaneous leishmaniasis [J].
de Almeida, Marcos C. ;
Moreira, Helmar N. .
JOURNAL OF BIOLOGICAL SYSTEMS, 2007, 15 (03) :313-354
[47]   How modulation of the tumor microenvironment drives cancer immune escape dynamics [J].
Shrestha, Pujan ;
Ghoreyshi, Zahra S. ;
George, Jason T. .
SCIENTIFIC REPORTS, 2025, 15 (01)
[48]   Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps [J].
Zang, Yanchao ;
Li, Junping ;
Liu, Jiangang .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[49]   A dynamical model of the coral-algae competition in a coral reef ecosystem [J].
Bica, I ;
Solomonovich, M. .
THEORETICAL AND APPLIED ECOLOGY, 2020, (03) :29-35
[50]   Growth of tropical savanna grass plants in competition:: A shoot population model [J].
Segarra, J ;
Raventós, J ;
Acevedo, MR .
ECOLOGICAL MODELLING, 2005, 189 (3-4) :270-288
12345