On the probability of random genetic mutations for various types of tumor growth.
On the probability of random genetic mutations for various types of tumor growth.
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DOI：
10.1007/s11538-012-9717-1
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发表时间：
2012-06
影响因子：
3.5
通讯作者：
Tomasetti, Cristian
中科院分区：
文献类型：
--
作者：
Tomasetti, Cristian
关键词：
在这项工作中，我们考虑了估计特定随机基因突变出现在给定大小的肿瘤中的概率问题。以前的数学模型是基于随机方法，假设肿瘤是均匀的，平均而言呈指数增长。相比之下，我们能够在癌症的指数增长被异质肿瘤细胞群的其他可能更现实的增长类型所取代的情况下获得分析结果。我们的主要结论是，在肿瘤达到一定大小时出现给定随机突变的概率，与肿瘤平均生长曲线的类型无关，至少对一般类型的生长曲线是如此。对于给定大小的肿瘤中存在的预期突变数的相关估计也是如此，如果突变确实存在的话。
In this work, we consider the problem of estimating the probability for a specific random genetic mutation to be present in a tumor of a given size. Previous mathematical models have been based on stochastic methods where the tumor was assumed to be homogeneous and, on average, growing exponentially. In contrast, we are able to obtain analytical results for cases where the exponential growth of cancer has been replaced by other, arguably more realistic types of growth of a heterogeneous tumor cell population. Our main result is that the probability that a given random mutation will be present by the time a tumor reaches a certain size, is independent of the type of curve assumed for the average growth of the tumor, at least for a general class of growth curves. The same is true for the related estimate of the expected number of mutants present in a tumor of a given size, if mutants are indeed present.
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影响因子：
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作者：
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通讯作者：
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DOI：
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发表时间：
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影响因子：
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DOI：
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发表时间：
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影响因子：
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