Smolle J
Department of Dermatology, University of Graz, Austria.
Anal Quant Cytol Histol. 1998 Feb;20(1):7-13.
To examine the potential relationships of tumor growth parameters and fractal dimensionality of the resulting pattern.
A nonequilibirum tumor growth model was developed taking into account tumor cell motility, tumor and stromal proliferation, cohesion, autocrine and paracrine growth stimulation, and tumor and stromal destruction. Ten thousand simulation runs were performed with varying settings of the control parameters. Fractal dimensionality of the tumor-stroma border was assessed in each pattern by a box counting method.
Fractal dimensionality increased with overall tumor cell motility, heterotypic tumor-stroma adhesion and paracrine growth stimulation, and decreased with homotypic tumor-tumor adhesion, autocrine growth stimulation, and tumor and stroma destruction.
Fractal dimensionality of the tumor-stroma border depends on various parameters controlling tumor growth. Some growth properties considered to be associated with an increased degree of malignancy influence fractal dimensionality in opposite directions. Therefore, determination of fractal dimensionality cannot be related directly to any particular biologic feature or to the overall biologic behavior of a tumor.
研究肿瘤生长参数与所得模式的分形维数之间的潜在关系。
开发了一种非平衡肿瘤生长模型，该模型考虑了肿瘤细胞运动性、肿瘤和基质增殖、黏附、自分泌和旁分泌生长刺激以及肿瘤和基质破坏。对控制参数进行不同设置，进行了一万次模拟运行。通过盒子计数法评估每种模式下肿瘤-基质边界的分形维数。
分形维数随肿瘤细胞总体运动性、异型肿瘤-基质黏附及旁分泌生长刺激而增加，随同型肿瘤-肿瘤黏附、自分泌生长刺激以及肿瘤和基质破坏而降低。
肿瘤-基质边界的分形维数取决于控制肿瘤生长的各种参数。一些被认为与恶性程度增加相关的生长特性对分形维数的影响方向相反。因此，分形维数的测定不能直接与任何特定的生物学特征或肿瘤的整体生物学行为相关联。
