The role of stress in the growth of a multicell spheroid

被引:98
作者
Ambrosi, D
Mollica, F
机构
[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy
[2] Dipartimento Ingn Mat, I-44100 Ferrara, Italy
关键词
tumor growth; stress modulated growth; continuum mechanics;
D O I
10.1007/s00285-003-0238-2
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Rather recent experimental results demonstrate the non-negligible role of mechanical stress in the growth of a multicell spheroid. In this paper we discuss a theoretical framework for volumetric growth suitable for modeling the growth of soft tissues exhibiting the properties of a solid. After a proper kinematic decomposition, balance equations for mass, momentum and energy are discussed together with constitutive relationships. The mathematical model is then applied to avascular tumor growth. We show by numerical simulation that, under assumption of spherical symmetry, the mathematical model is able to reproduce the experimental data with a satisfying qualitative agreement.
引用
收藏
页码:477 / 499
页数:23
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