基于二维反应-扩散模型的活检模拟用于动态肿瘤生长参数估计
2D reaction-diffusion model-based biopsy simulation for dynamic tumor growth parameter estimation
- Munich, Germany（慕尼黑）
- Department of Radiation Oncology, The University of Texas MD Anderson Cancer Center, Houston, Texas, USA（德克萨斯大学安德森癌症中心放射肿瘤学系）
- Institute for Data Science in Oncology, The University of Texas MD Anderson Cancer Center, Houston, Texas, USA（德克萨斯大学安德森癌症中心肿瘤数据科学研究所）
- Department of Biosciences and Medical Biology, University of Salzburg, Salzburg, Austria（萨尔茨堡大学生物与医学生物学系）
机构由 AI 辅助整理，请以论文原文为准。
中文总结 AI 辅助
本文提出并首次理论验证了从单时间点活检估计肿瘤扩散率与增殖率的方法，通过二维反应-扩散模型模拟活检，在短期和长期实验中均能高精度恢复关键参数。
中文摘要 AI 辅助
一旦确诊癌症，就需要快速、可靠且最好成本低廉地评估疾病的当前状态和潜在进展。一种新方法旨在从单时间点的常规活检中，在机制性反应-扩散方程的背景下估计肿瘤细胞扩散率$D$和增殖率$\gamma$，该方法旨在实现这一目标，并且从参数估计中计算出的量最近已被测试作为放射治疗中风险分层的新生物标志物。在此，我们通过提供首次理论验证来扩展先前工作的发现。该方法应用于通过求解具有Dirac-Delta初始条件的不同生长项（指数和逻辑斯蒂）的二维反应-扩散方程生成的计算机模拟活检，并通过一种反向粗粒化形式将连续结果转换为空间点模式。如果不使用肿瘤年龄信息，在短期实验中，原始扩散长度$\sqrt{D/\gamma}$可以以约8%的相对均方根误差（RRMSE）和0.97的$\text{R}^2$值恢复。在长期实验中，RRMSE范围从8%到14%，$\text{R}^2$值从0.75到0.98。缩放的前沿速度$\sqrt{D \cdot \gamma}$，只有在有肿瘤年龄信息时才能估计，在短期和长期实验中均以7%的RRMSE和0.98的$\text{R}^2$恢复。
英文摘要
Once diagnosed, cancer requires a fast, reliable and preferably cost-efficient assessment of the current state and potential progression of the disease. A new method for estimating tumor cell diffusivity $D$ and proliferation rate $γ$ in the context of the mechanistic reaction-diffusion equation from single-point-in-time routine biopsies aims to deliver just that, and quantities computed from the parameter estimates have recently been tested as a new biomarkers for risk-stratification in radiotherapy. Here, we extend the findings of this previous work by providing a first theoretical validation. The method is applied to in-silico biopsies which are generated by solving the two-dimensional reaction-diffusion equation for different growth terms (exponential and logistic) with a Dirac-Delta initial condition, and transforming the continuous results into spatial point patterns via a form of reverse coarse-graining. If no information about tumor age is used, in short-term experiments the original dispersion length $\sqrt{D/γ}$ could be retrieved with a relative root mean squared error (RRMSE) of around 8% and an $\text{R}^2$-value of 0.97. In long-term experiments, the RRMSEs ranged from 8 to 14% and the $\text{R}^2$-values from 0.75 to 0.98. The scaled front velocity $\sqrt{D \cdotγ}$, which can only be estimated if information about tumor age is available, was retrieved with an RRMSE of 7% and an $\text{R}^2$ of 0.98 in both, the short-term and the long-term experiments.
