Stein Wilfred D, Figg William Doug, Dahut William, Stein Aryeh D, Hoshen Moshe B, Price Doug, Bates Susan E, Fojo Tito
Medical Oncology Branch, National Cancer Institute, Center for Cancer Research, National Institutes of Health, Bethesda, Maryland 20892, USA.
Oncologist. 2008 Oct;13(10):1046-54. doi: 10.1634/theoncologist.2008-0075. Epub 2008 Oct 6.
The slow progress in developing new cancer therapies can be attributed in part to the long time spent in clinical development. To hasten development, new paradigms especially applicable to patients with metastatic disease are needed.
We present a new method to predict survival using tumor measurement data gathered while a patient with cancer is receiving therapy in a clinical trial. We developed a two-phase equation to estimate the concomitant rates of tumor regression (regression rate constant d) and tumor growth (growth rate constant g).
We evaluated the model against serial levels of prostate-specific antigen (PSA) in 112 patients undergoing treatment for prostate cancer. Survival was strongly correlated with the log of the growth rate constant, log(g) (Pearson r = -0.72) but not with the log of the regression rate constants, log(d) (r = -0.218). Values of log(g) exhibited a bimodal distribution. Patients with log(g) values above the median had a mortality hazard of 5.14 (95% confidence interval, 3.10-8.52) when compared with those with log(g) values below the median. Mathematically, the minimum PSA value (nadir) and the time to this minimum are determined by the kinetic parameters d and g, and can be viewed as surrogates.
This mathematical model has applications to many tumor types and may aid in evaluating patient outcomes. Modeling tumor progression using data gathered while patients are on study, may help evaluate the ability of therapies to prolong survival and assist in drug development.
新癌症疗法研发进展缓慢部分可归因于临床开发耗时长久。为加速研发进程,需要适用于转移性疾病患者的新范式。
我们提出一种新方法,利用癌症患者在临床试验接受治疗期间收集的肿瘤测量数据来预测生存情况。我们开发了一个两阶段方程来估计肿瘤消退(消退速率常数d)和肿瘤生长(生长速率常数g)的伴随速率。
我们针对112例接受前列腺癌治疗的患者,根据前列腺特异性抗原(PSA)的系列水平评估了该模型。生存情况与生长速率常数的对数log(g)密切相关(Pearson相关系数r = -0.72),但与消退速率常数的对数log(d)无关(r = -0.218)。log(g)值呈现双峰分布。log(g)值高于中位数的患者与log(g)值低于中位数的患者相比,死亡风险为5.14(95%置信区间,3.10 - 8.52)。从数学角度看,最低PSA值(最低点)及其出现时间由动力学参数d和g决定,可视为替代指标。
该数学模型适用于多种肿瘤类型,可能有助于评估患者预后。利用患者在研究期间收集的数据对肿瘤进展进行建模,可能有助于评估疗法延长生存的能力,并协助药物开发。