Nonlinear simulation of the effect of microenvironment on tumor growth

被引:147
作者
Macklin, Paul [1 ]
Lowengrub, John [1 ]
机构
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
基金
美国国家科学基金会;
关键词
tumor microenvironment; nonlinear simulation; cancer therapy; morphological instability; tumor fragmentation; tumor growth; level set method; ghost fluid method; second-order accuracy; finite differences;
D O I
10.1016/j.jtbi.2006.12.004
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we present and investigate a model for solid tumor growth that incorporates features of the tumor microenvironment. Using analysis and nonlinear numerical simulations, we explore the effects of the interaction between the genetic characteristics of the tumor and the tumor microenvironment on the resulting tumor progression and morphology. We find that the range of morphological responses can be placed in three categories that depend primarily upon the tumor microenvironment: tissue invasion via fragmentation due to a hypoxic microenvironment; fingering, invasive growth into nutrient rich, biomechanically unresponsive tissue; and compact growth into nutrient rich, biomechanically responsive tissue. We found that the qualitative behavior of the tumor morphologies was similar across a broad range of parameters that govern the tumor genetic characteristics. Our findings demonstrate the importance of the impact of microenvironment on tumor growth and morphology and have important implications for cancer therapy. In particular, if a treatment impairs nutrient transport in the external tissue (e.g., by anti-angiogenic therapy) increased tumor fragmentation may result, and therapy-induced changes to the biomechanical properties of the tumor or the microenvironment (e.g., anti-invasion therapy) may push the tumor in or out of the invasive fingering regime. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:677 / 704
页数:28
相关论文
共 117 条
[31]   Gene expression programs in response to hypoxia: Cell type specificity and prognostic significance in human cancers [J].
Chi, JT ;
Wang, Z ;
Nuyten, DSA ;
Rodriguez, EH ;
Schaner, ME ;
Salim, A ;
Wang, Y ;
Kristensen, GB ;
Helland, A ;
Borresen-Dale, AL ;
Giaccia, A ;
Longaker, MT ;
Hastie, T ;
Yang, GP ;
van de Vijver, MJ ;
Brown, PO .
PLOS MEDICINE, 2006, 3 (03) :395-409
[32]   Morphologic instability and cancer invasion [J].
Cristini, V ;
Frieboes, HB ;
Gatenby, R ;
Caserta, S ;
Ferrari, M ;
Sinek, J .
CLINICAL CANCER RESEARCH, 2005, 11 (19) :6772-6779
[33]   Nonlinear simulation of tumor growth [J].
Cristini, V ;
Lowengrub, J ;
Nie, Q .
JOURNAL OF MATHEMATICAL BIOLOGY, 2003, 46 (03) :191-224
[34]   Inhibition of tumor growth and invasion by a four-kringle antagonist (HGF/NK4) for hepatocyte growth factor [J].
Date, K ;
Matsumoto, K ;
Kuba, K ;
Shimura, H ;
Tanaka, M ;
Nakamura, T .
ONCOGENE, 1998, 17 (23) :3045-3054
[35]  
De Jaeger K, 2001, BRIT J CANCER, V84, P1280
[36]  
DUFF LS, 1998, NUMERICAL LINEAR ALG
[37]   Role of extracellular matrix in tumor invasion: Migration of glioma cells along fibronectin-positive mesenchymal cell processes [J].
Enam, SA ;
Rosenblum, ML ;
Edvardsen, K .
NEUROSURGERY, 1998, 42 (03) :599-607
[38]  
Enmon RM, 2001, BIOTECHNOL BIOENG, V72, P579, DOI 10.1002/1097-0290(20010320)72:6<579::AID-BIT1023>3.3.CO
[39]  
2-C
[40]   RETRACTED: Lysyl oxidase is essential for hypoxia-induced metastasis (Retracted article. See vol. 579, pg. 456, 2020) [J].
Erler, JT ;
Bennewith, KL ;
Nicolau, M ;
Dornhöfer, N ;
Kong, C ;
Le, QT ;
Chi, JTA ;
Jeffrey, SS ;
Giaccia, AJ .
NATURE, 2006, 440 (7088) :1222-1226