论文标题
使用凸反应：从金融到肿瘤学的抗差异
Working With Convex Responses: Antifragility From Finance to Oncology
论文作者
论文摘要
我们扩展了有关非线性反应的随机特性的技术和学习，从金融到医学，尤其是肿瘤学可以为剂量和干预提供信息。我们定义抗差异。我们通过非线性响应（凸或凹）的特性，建议将风险分析用于医疗问题。我们1）将剂量反应函数的凸度/凹度与结果的统计特性联系起来； 2）将“抗差异”定义为局部有益凸反应的数学特性，并将“脆弱性”的概括为相反，在统计分布的尾部局部凹面； 3）提出剂量，条件严重程度和医源性学之间的数学关系。简而言之，我们提出了一个框架，以整合基于证据的肿瘤学和更一般的临床风险管理中非线性的必要后果。
We extend techniques and learnings about the stochastic properties of nonlinear responses from finance to medicine, particularly oncology where it can inform dosing and intervention. We define antifragility. We propose uses of risk analysis to medical problems, through the properties of nonlinear responses (convex or concave). We 1) link the convexity/concavity of the dose-response function to the statistical properties of the results; 2) define "antifragility" as a mathematical property for local beneficial convex responses and the generalization of "fragility" as its opposite, locally concave in the tails of the statistical distribution; 3) propose mathematically tractable relations between dosage, severity of conditions, and iatrogenics. In short we propose a framework to integrate the necessary consequences of nonlinearities in evidence-based oncology and more general clinical risk management.
