Growth curve analysis of asymptomatic and symptomatic meningiomas
Growth curve analysis of asymptomatic and symptomatic meningiomas
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DOI：
10.1007/s11060-010-0319-1
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发表时间：
2011-04-01
影响因子：
3.9
通讯作者：
Nozaki, Kazuhiko
中科院分区：
文献类型：
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作者：
Nakasu, Satoshi;Nakasu, Yoko;Nozaki, Kazuhiko
脑膜瘤有时似乎在达到较大尺寸后停止生长。常用的指数增长模型并不能反映这一现象。我们试图找到最好的曲线来模拟它们的生长。对52例脑膜瘤患者进行了3.1-21.7年（平均7.5年）的随访，每个患者均进行了4次或4次以上的影像学检查。31例患者有无症状的肿瘤。其余21例肿瘤残留或复发患者术后随访。绘制每个肿瘤的时间-体积曲线。针对幂、指数、逻辑和Gompertzian曲线进行非线性回归分析。时间-体积曲线与Gompertzian和logistic生长曲线的对应性优于幂或指数曲线。当用Gompertzian曲线模拟时间-容积曲线时，大多数良性脑膜瘤在患者年龄80岁之前开始减缓其生长。31例无症状脑膜瘤中有23例在诊断前已经过了拐点。相比之下，这种情况在有症状的肿瘤中发生的频率较低。特别是，所有六个非典型脑膜瘤继续准指数增长。接近平台的S形曲线比无限生长的曲线更能描述良性脑膜瘤的生长。然而，非典型脑膜瘤不太可能减缓其生长。
Meningiomas sometimes appear to stop growing after attaining a large size. Commonly used exponential growth models do not reflect this phenomenon. We attempted to find the best curve to simulate their growth. Fifty-two patients with meningioma were followed up for 3.1-21.7 years (mean 7.5 years) with four or more imaging studies each. Thirty-one patients had asymptomatic tumors. The other 21 patients with residual or recurrent tumor were followed up after surgery. Time-volume curves for each tumor were plotted. Nonlinear regression analyses were performed against power, exponential, logistic, and Gompertzian curves. Time-volume curves corresponded to the Gompertzian and logistic growth curves better than to power or exponential curves. When simulating time-volume curves with Gompertzian curves, the majority of benign meningiomas began to slow their growth before patient age of 80 years. Twenty-three of 31 asymptomatic meningiomas had already passed the inflection point before diagnosis. In contrast, this happened less frequently in symptomatic tumors. Especially, all six atypical meningiomas continued to grow quasi-exponentially. Sigmoid curves that approach a plateau were better descriptors of the growth of benign meningiomas than were curves of unlimited growth. However, atypical meningiomas were unlikely to slow their growth.