Taksler Glen B, Perzynski Adam T, Kattan Michael W
Medicine Institute, Cleveland Clinic, Cleveland, OH (GBT).
Center for Health Care Research and Policy, Case Western Reserve University at MetroHealth Medical Center, Cleveland, OH (ATP).
Med Decis Making. 2017 Apr;37(3):204-215. doi: 10.1177/0272989X16679161. Epub 2016 Nov 23.
Recommendations for colorectal cancer screening encourage patients to choose among various screening methods based on individual preferences for benefits, risks, screening frequency, and discomfort. We devised a model to illustrate how individuals with varying tolerance for screening complications risk might decide on their preferred screening strategy.
We developed a discrete-time Markov mathematical model that allowed hypothetical individuals to maximize expected lifetime utility by selecting screening method, start age, stop age, and frequency. Individuals could choose from stool-based testing every 1 to 3 years, flexible sigmoidoscopy every 1 to 20 years with annual stool-based testing, colonoscopy every 1 to 20 years, or no screening. We compared the life expectancy gained from the chosen strategy with the life expectancy available from a benchmark strategy of decennial colonoscopy.
For an individual at average risk of colorectal cancer who was risk neutral with respect to screening complications (and therefore was willing to undergo screening if it would actuarially increase life expectancy), the model predicted that he or she would choose colonoscopy every 10 years, from age 53 to 73 years, consistent with national guidelines. For a similar individual who was moderately averse to screening complications risk (and therefore required a greater increase in life expectancy to accept potential risks of colonoscopy), the model predicted that he or she would prefer flexible sigmoidoscopy every 12 years with annual stool-based testing, with 93% of the life expectancy benefit of decennial colonoscopy. For an individual with higher risk aversion, the model predicted that he or she would prefer 2 lifetime flexible sigmoidoscopies, 20 years apart, with 70% of the life expectancy benefit of decennial colonoscopy.
Mathematical models may formalize how individuals with different risk attitudes choose between various guideline-recommended colorectal cancer screening strategies.
结直肠癌筛查建议鼓励患者根据对益处、风险、筛查频率和不适程度的个人偏好,在多种筛查方法中进行选择。我们设计了一个模型,以说明对筛查并发症风险具有不同耐受性的个体如何决定其首选的筛查策略。
我们开发了一个离散时间马尔可夫数学模型,该模型允许假设的个体通过选择筛查方法、起始年龄、终止年龄和频率来最大化预期寿命效用。个体可以从每1至3年进行一次粪便检测、每1至20年进行一次乙状结肠镜检查并每年进行一次粪便检测、每1至20年进行一次结肠镜检查或不进行筛查中进行选择。我们将所选策略获得的预期寿命与十年一次结肠镜检查的基准策略可得的预期寿命进行了比较。
对于结直肠癌平均风险且对筛查并发症风险持风险中性态度(因此如果从精算角度能增加预期寿命就愿意接受筛查)的个体,该模型预测他或她会从53岁至73岁每10年选择一次结肠镜检查,这与国家指南一致。对于类似的、对筛查并发症风险有中度厌恶(因此需要更大幅度的预期寿命增加才接受结肠镜检查的潜在风险)的个体,该模型预测他或她会更喜欢每12年进行一次乙状结肠镜检查并每年进行一次粪便检测,获得十年一次结肠镜检查预期寿命益处的93%。对于风险厌恶程度更高的个体,该模型预测他或她会更喜欢一生中进行两次间隔20年的乙状结肠镜检查,获得十年一次结肠镜检查预期寿命益处的70%。
数学模型可以将具有不同风险态度的个体在各种指南推荐的结直肠癌筛查策略之间的选择形式化。