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运用疫苗选择经济算法应对免疫实践中的挑战。

Addressing the challenges to immunization practice with an economic algorithm for vaccine selection.

作者信息

Weniger B G, Chen R T, Jacobson S H, Sewell E C, Deuson R, Livengood J R, Orenstein W A

机构信息

National Immunization Program, Centers for Disease Control and Prevention, Atlanta, GA 30333, USA.

出版信息

Vaccine. 1998 Nov;16(19):1885-97. doi: 10.1016/s0264-410x(98)00170-4.

Abstract

The biotechnology revolution is producing a growing bounty of new vaccines which pose difficult choices in selecting among many products. Some major public and private purchasers of vaccine may offer individual physicians and clinics their choice in assembling vaccine inventories. Others might purchase only a limited stock of products that would satisfactorily immunize a typical child. In either case, current vaccine selection decisions are based principally on purchase price alone without systematic consideration of other factors of fiscal consequence. As a potential tool for decision making, we developed an economic algorithm for vaccine selection that would minimize the overall costs of disease control through immunization by considering: (1) purchase price, (2) number of doses needed, (3) preparation time, (4) route of administration, (5) cold storage needs, (6) shelf life, (7) earliest age of full immunity, (8) adverse events frequency, and (9) efficacy of protection. To demonstrate the algorithm, variables (1) to (4) above were incorporated into a pilot binary-integer linear programming model that satisfied the recommended immunization schedule for diphtheria, tetanus, pertussis, Haemophilus influenzae b, and hepatitis B, using eleven vaccines (DTaP, DTaP-Hib, Hib, HepB and Hib-HepB) from four manufacturers. Five (or six) opportunities to vaccinate were modeled at (1), 2, 4, 6, 12-18, and 60 months of life, assuming US$40 per clinic visit, $15 per injection, and $0.50 per minute of nurse preparation time. Vaccine costs were varied using actual March and September 1997 US Federal vaccine prices, as well as estimates for unpriced new vaccines. Over 16,000 distinct vaccine stocking lists by vaccine type and brand were possible. Including a 1-month visit, the lowest-cost 'solution' of the algorithm was $529.41 per child in the March cost-assumption case, and $490.32 in the September one (both included four doses of DTaP-Hib, three HepB, and one DTaP). Without a 1-month visit, the lowest-cost solution in the March case cost $486.67 (four DTaP, two Hib-HepB, one DTaP-Hib, and one HepB), while the September case cost $450.32 (four DTaP-Hib, three HepB, and one DTaP). Ensuring at least one product was selected from each of the four manufacturers increased costs about $13.00, and the needed injections rose from eight to nine. The most economical selection of vaccines to use cannot be intuitively predicted, as permutations are large and solutions are sensitive to minor changes in costs and constraints. A transparent, objective selection method that weighs the economic value of distinguishing features among competing vaccines might offer the 'best value' to vaccine purchasers, while also creating strong market incentives for continuing innovation and competition in the vaccine industry.

摘要

生物技术革命正在催生越来越多的新型疫苗,这使得在众多产品中进行选择变得困难重重。一些主要的公共和私人疫苗采购方可能会让个体医生和诊所自行选择来组建疫苗库存。另一些采购方可能只会购买有限的产品库存,这些产品要能为一个普通儿童提供令人满意的免疫接种。在这两种情况下,当前的疫苗选择决策主要仅基于购买价格,而没有系统地考虑其他具有财务影响的因素。作为一种潜在的决策工具,我们开发了一种疫苗选择的经济算法,该算法通过考虑以下因素来使通过免疫接种控制疾病的总体成本降至最低:(1)购买价格;(2)所需剂量数;(3)准备时间;(4)给药途径;(5)冷藏需求;(6)保质期;(7)完全免疫的最早年龄;(8)不良事件发生率;(9)保护效果。为了演示该算法,将上述变量(1)至(4)纳入一个试点二元整数线性规划模型,该模型使用来自四家制造商的11种疫苗(白百破疫苗、白百破- Hib联合疫苗、Hib疫苗、乙肝疫苗和Hib - 乙肝联合疫苗)满足白喉、破伤风、百日咳、b型流感嗜血杆菌和乙肝的推荐免疫接种计划。假设每次门诊费用为40美元、每次注射费用为15美元以及护士准备时间每分钟费用为0.50美元,在生命的1个月、2个月、4个月、6个月、12 - 18个月和60个月时模拟了五次(或六次)接种机会。使用1997年3月和9月美国联邦疫苗的实际价格以及未定价新疫苗的估计价格来改变疫苗成本。按疫苗类型和品牌可能有超过16000种不同的疫苗库存清单。包括1个月的门诊,在3月成本假设情况下,该算法的最低成本“解决方案”为每个儿童529.41美元,9月的情况为490.32美元(两者都包括四剂白百破- Hib联合疫苗、三剂乙肝疫苗和一剂白百破疫苗)。如果没有1个月的门诊,3月情况下的最低成本解决方案为486.67美元(四剂白百破疫苗、两剂Hib - 乙肝联合疫苗、一剂白百破- Hib联合疫苗和一剂乙肝疫苗),而9月的情况为450.32美元(四剂白百破- Hib联合疫苗、三剂乙肝疫苗和一剂白百破疫苗)。确保从四家制造商中的每一家至少选择一种产品会使成本增加约13.00美元,所需注射次数从八次增加到九次。由于排列组合众多且解决方案对成本和限制的微小变化很敏感,所以无法直观地预测最经济的疫苗选择。一种透明、客观的选择方法,权衡竞争疫苗之间显著特征的经济价值,可能会为疫苗采购方提供“最佳价值”,同时也为疫苗行业的持续创新和竞争创造强大的市场激励。

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