The study by graphical analysis of the growth of human tumours and metastases of the lung.
The study by graphical analysis of the growth of human tumours and metastases of the lung.
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DOI：
10.1038/bjc.1967.1
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发表时间：
1967-03
影响因子：
8.8
通讯作者：
Perttala, Y
中科院分区：
文献类型：
--
作者：
Brenner, M W;Holsti, L R;Perttala, Y
方法：作为转移瘤或肿瘤体积的测量，我们使用了”相对体积”，定义为椭球体的体积，其半轴等于从X线片测量的阴影的三个维度。在大多数情况下，这些尺寸取为从前后位和侧位照片获得的阴影的宽度2a和2b以及高度2c。在绝对扁圆或扁长阴影的情况下，应用阴影的半轴。椭球体的体积为47 rabc/3。当物体在对应于三维a、B和c的三个方向上定向时，该相对体积和被测物体的真实的体积在特殊情况下相等。如果只能使用一张X线片，则通过将测量的半轴的平均值作为第三维来获得二维。很明显，对非常偏心的椭球体体积的测定是错误的。然而，这里所用的方法是合理的，因为如果物体是球形的，它给出了正确的尺寸，并且对于略椭圆形的物体给出了相当好的近似。如果形状在生长过程中保持不变，则计算的体积将与真实的体积成比例，即计算的体积与真实的体积之间的比率在生长过程中将是恒定的。
METHODSAs a measure of the volume of a metastasis or a tumour we have used a" relative volume" defined as the volume of an ellipsoid with the semiaxes equal to three dimensions of the shadows measured from the radiographs. These dimensions were in most cases taken as the breadth 2a and 2b and the height 2c of the shadows obtained from the antero-posterior and the lateral pictures. In the case of definitely oblate or prolate shadows, the semiaxes of the shadows were applied. Th-e volume of the ellipsoid is 47r abc/3. This relative volume and the real volume of the measured body are equal in the special case when the body is oriented in the three directions corresponding to the three dimensions a, b and c. If only one radiograph could be used, two dimensions were obtained by taking as thethird dimension the mean of the measuredsemiaxes. It is obvious that the determination of the volume of very eccentric ellipsoids will be erroneous. The method used here is, however, justified by the fact that it gives a correct size if thebody is spherical, and gives a fairly good approximation for slightly ellipsoid shapes. If the shape remains unchanged during growth the calculatedvolume will be proportional to the real volume, ie the ratio between the calculated and the real volume would be constant during growth.