Slepkov V A, Sukhovol'skiĭ V G, Khlebopros R G
Biofizika. 2007 Jul-Aug;52(4):733-40.
A new approach based on local interaction between cancer and tissue cells was applied to the problem of the onset and growth of solid tumors in homogeneous tissues and effects associated with dramatic changes in tumor growth after crossing the boundary between different tissues. The characteristic sizes and growth rates of spherical tumors, the points of the beginning and the end of spherical growth, and the further development of complex structures from the spherical ones (rough interface between the tumor and the host tissue, elongate outgrowths, dendritic structures, and metastases) were inferred assuming that the reproduction rate of a population of cancer cells is a nonmonotone function of their local concentration and thus of the local curvature of the tumor surface.
一种基于癌症与组织细胞间局部相互作用的新方法，被应用于研究均匀组织中实体瘤的发生和生长问题，以及肿瘤在跨越不同组织边界后生长急剧变化所带来的影响。假设癌细胞群体的繁殖率是其局部浓度的非单调函数，进而也是肿瘤表面局部曲率的非单调函数，据此推断了球形肿瘤的特征尺寸和生长速率、球形生长的起始点和终点，以及从球形结构发展而来的复杂结构（肿瘤与宿主组织之间的粗糙界面、细长的突出物、树状结构和转移灶）的进一步发展情况。
