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如何预测药物支出:基于风险类别的马尔可夫模型方法。

How to Predict Drug Expenditure: A Markov Model Approach with Risk Classes.

机构信息

AOK Baden-Württemberg, Stuttgart, Germany.

Chair of Economic and Social Policy, WHU Otto Beisheim School of Management, Burgplatz 2, 56179, Vallendar, Germany.

出版信息

Pharmacoeconomics. 2023 May;41(5):561-572. doi: 10.1007/s40273-023-01240-3. Epub 2023 Feb 25.

Abstract

BACKGROUND

Although pharmaceutical expenditures have been rising for decades, the question of their drivers remains unclear, and long-term projections of pharmaceutical spending are still scarce. We use a Markov approach considering different cost-risk groups to show the possible range of future drug spending in Germany and illustrate the influence of various determinants on pharmaceutical expenditure.

METHODS

We compute different medium and long-term projections of pharmaceutical expenditure in Germany up to 2060 and compare extrapolations with constant shares, time-to-death scenarios, and Markov modeling based on transition probabilities. Our modeling is based on data from a large statutory sickness fund covering around four million insureds. We divide the population into six risk groups according to their share of total pharmaceutical expenditures, determine their cost growth rates, survival and transition probabilities, and compute different scenarios related to changes in life expectancy or spending trends in different cost-risk groups.

RESULTS

If the spending trends in the high-cost groups continue, per-capita expenditure will increase by over 40% until 2040. By 2060, pharmaceutical expenditures could more than double, even if these groups would not benefit from rising life expectancy. By contrast, the isolated effect of demographic change would "only" lead to a long-term increase of around 15%.

CONCLUSION

The long-term development of pharmaceutical spending in Germany will depend mainly on future expenditure and life expectancy trends of particularly high-cost patients. Thus, appropriate pricing of new expensive pharmaceuticals is essential for the sustainability of the German healthcare system.

摘要

背景

尽管药品支出在过去几十年中一直在增长,但药品支出的驱动因素仍不清楚,长期的药品支出预测仍然很少。我们使用马尔可夫方法考虑不同的成本风险组,以展示德国未来药品支出的可能范围,并说明各种决定因素对药品支出的影响。

方法

我们计算了德国到 2060 年的不同中期和长期药品支出预测,并将外推与固定份额、死亡时间场景和基于转移概率的马尔可夫模型进行了比较。我们的模型基于一个覆盖约 400 万被保险人的大型法定疾病基金的数据。我们根据其在总药品支出中的份额将人口分为六个风险组,确定其成本增长率、生存和转移概率,并计算与不同成本风险组的预期寿命变化或支出趋势相关的不同场景。

结果

如果高成本组的支出趋势继续下去,到 2040 年,人均支出将增长 40%以上。到 2060 年,即使这些组不会受益于预期寿命的延长,药品支出也可能翻一番以上。相比之下,人口变化的孤立影响“仅”会导致长期增长约 15%。

结论

德国药品支出的长期发展将主要取决于高成本患者未来的支出和预期寿命趋势。因此,新昂贵药品的适当定价对于德国医疗保健系统的可持续性至关重要。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/869f/10085961/aa752b7b815f/40273_2023_1240_Fig1_HTML.jpg

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