Department of Mathematics, Jerusalem College of Technology, Jerusalem, Israel.
Department of Computational Biology, Jerusalem College of Technology, Jerusalem, Israel.
Biosystems. 2021 Apr;202:104341. doi: 10.1016/j.biosystems.2020.104341. Epub 2021 Jan 19.
We here propose a new method of combining a mathematical model that describes a chemotherapy treatment for breast cancer with a machine-learning (ML) algorithm to increase performance in predicting tumor size using a five-step procedure. The first step involves modeling the chemotherapy treatment protocol using an analytical function. In the second step, the ML algorithm is trained to predict the tumor size based on clinico-pathological data and data obtained from magnetic resonance imaging results at different time points of treatment. In the third step, the model is solved according to adjustments made at the individual patient level based on the initial tumor size. In the fourth step, the important variables are extracted from the mathematical model solutions and inserted as added features. In the final step, we applied various ML algorithms on the merged data. Performance comparison among algorithms showed that the root mean square error of the linear regression decreased with the addition of the mathematical results, and the accuracy of prediction as well as the F1-scores increased with the addition of the mathematical model to the neural network. We established these results for four different cohorts of women at different ages with breast cancer who received chemotherapy treatment.
我们在这里提出了一种新的方法,即将描述乳腺癌化疗治疗的数学模型与机器学习 (ML) 算法相结合,以提高使用五步程序预测肿瘤大小的性能。第一步涉及使用解析函数对化疗治疗方案进行建模。在第二步中,对 ML 算法进行训练,以根据临床病理数据和治疗不同时间点的磁共振成像结果获得的数据来预测肿瘤大小。在第三步中,根据初始肿瘤大小,根据个体患者水平进行的调整来求解模型。在第四步中,从数学模型解决方案中提取重要变量并插入作为附加特征。在最后一步中,我们将各种 ML 算法应用于合并后的数据。算法之间的性能比较表明,随着数学结果的增加,线性回归的均方根误差减小,随着将数学模型添加到神经网络中,预测的准确性和 F1 分数都增加了。我们为接受化疗治疗的不同年龄的乳腺癌的四个不同女性队列建立了这些结果。