ON A MATHEMATICAL MODEL OF BONE MARROW METASTATIC NICHE

被引：3
作者：
Isabel Munoz, Ana [1 ]
Ignacio Tello, J. [2 ,3 ]
机构：
[1] Univ Rey Juan Carlos, Dept Matemat Aplicada Ciencia & Ingn Mat & Tecnol, ESCET, E-28933 Madrid, Spain
[2] Univ Politecn Madrid, Dept Matemat Aplicada TIC ETSI Sistemas Informat, Madrid 28031, Spain
[3] Univ Politecn Madrid, Ctr Simulac Computac, E-28660 Madrid, Spain
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2017年 / 14卷 / 01期
关键词：
Mathematical modeling of cancer; hematopoietic niche; osteoblast; CXCL-12; PTHrP; FEM; EXPRESSION;
D O I：
10.3934/mbe.2017019
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We propose a mathematical model to describe tumor cells movement towards a metastasis location into the bone marrow considering the influence of chemotaxis inhibition due to the action of a drug. The model considers the evolution of the signaling molecules CXCL-12 secreted by osteoblasts (bone cells responsible of the mineralization of the bone) and PTHrP (secreted by tumor cells) which activates osteoblast growth. The model consists of a coupled system of second order PDEs describing the evolution of CXCL-12 and PTHrP, an ODE of logistic type to model the Osteoblasts density and an extra equation for each cancer cell. We also simulate the system to illustrate the qualitative behavior of the solutions. The numerical method of resolution is also presented in detail.
引用
收藏
页码：289 / 304
页数：16
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