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作 者:潘回兵
出 处:《应用数学进展》2025年第3期1-9,共9页Advances in Applied Mathematics
摘 要:本文针对放疗下肿瘤的生物学效应,运用线性二次模型,并将其与肿瘤细胞的增殖、凋亡模型相结合,充分考虑到细胞在不同细胞周期阶段对放疗存在敏感性差异这一关键因素,构建了一个新的肿瘤体积变化模型。该模型纳入了细胞周期差异的考量,为深入理解肿瘤在放疗过程中的体积变化规律以及优化放疗方案提供了新的理论框架与分析工具。This paper focuses on the biological effects of tumors under radiotherapy. By applying the linear-quadratic model and integrating it with the tumor cell proliferation and apoptosis models, and fully taking into account the crucial factor that cells have different sensitivities to radiotherapy at different cell-cycle stages, a new tumor volume change model is constructed. This model incorporates the consideration of cell-cycle differences, providing a new theoretical framework and analytical tool for a deeper understanding of the volume change law of tumors during radiotherapy and for optimizing radiotherapy regimens.
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