On the mechanics of a growing tumor
On the mechanics of a growing tumor
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DOI：
10.1016/s0020-7225(02)00014-9
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发表时间：
2002-07-01
影响因子：
6.6
通讯作者：
Mollica, F
中科院分区：
文献类型：
--
作者：
Ambrosi, D;Mollica, F
在本文中，我们研究肿瘤生长的连续介质力学的框架内，考虑肿瘤作为一个特定的情况下，不断增长的软组织。使用多个自然配置的概念，我们引入了一个机械的描述，分裂成两个单独的贡献体积增长和机械响应。增长被描述为物体粒子质量的增加，而不是粒子数量的增加。由于肿瘤生长强烈依赖于营养物的可用性和化学信号（例如生长因子）的存在，因此在说明书中引入了它们通过生长材料的扩散。然后，该模型被应用到描述一个刚性圆柱体内的均匀生长，一个模型模仿导管癌的生长，并通过营养物质的非均匀扩散喂养的多细胞球体的生长。在后一种情况下，由于营养物的不均匀分布导致不均匀生长，因此产生残余应力。(C)2002爱思唯尔科技有限公司版权所有。
In this paper we study tumor growth within the framework of Continuum Mechanics, considering a tumor as a specific case of a growing soft tissue. Using the notion of multiple natural configurations we introduce a mechanical description that splits volumetric growth and mechanical response into two separate contributions. Growth is described as an increase of the mass of the particles of the body and not as an increase of their number. As tumor growth strongly depends upon the availability of nutrients and on the presence of chemical signals, such as growth factors, their diffusion through the growing material is introduced in the description. The model is then applied to describe the homogeneous growth inside a rigid cylinder, a model mimicking the growth of a ductal carcinoma, and to the growth of a multicell spheroid fed by a non-homogeneous diffusion of nutrients. In the latter case residual stresses are generated because the non-uniform distribution of nutrients leads to inhomogeneous growth. (C) 2002 Elsevier Science Ltd. All rights reserved.