Department of Mathematics, University of Miami, 1365 Memorial Drive, Coral Gables, FL 33146, USA.
Math Biosci Eng. 2024 Feb 23;21(3):4104-4116. doi: 10.3934/mbe.2024181.
In this paper, Gompertz type models are proposed to understand the temporal tumor volume behavior of prostate cancer when a periodical treatment is provided. Existence, uniqueness, and stability of periodic solutions are established. The models are used to fit the data and to forecast the tumor growth behavior based on prostate cancer treatments using capsaicin and docetaxel anticancer drugs. Numerical simulations show that the combination of capsaicin and docetaxel is the most efficient treatment of prostate cancer.
本文提出了戈珀特（Gompertz）型模型，以了解周期性治疗时前列腺癌的肿瘤体积随时间的变化行为。建立了周期解的存在性、唯一性和稳定性。利用这些模型对使用辣椒素和多西紫杉醇抗癌药物的前列腺癌治疗数据进行拟合，并对肿瘤生长行为进行预测。数值模拟表明，辣椒素和多西紫杉醇的联合治疗是治疗前列腺癌最有效的方法。
