Introduction
Materials and methods
Overview
Type of Impact | Perspective | |
---|---|---|
Public healthcare and long-term care payer | Public healthcare payer | |
Formal healthcare sector | ||
Health outcomes (effects) | ||
Longevity | ☑ | ☑ |
Health-related quality-of-life | ☑ | ☑ |
Other (e.g., adverse events) | ☑ | ☑ |
Medical costs | ||
Medications | ☑ | ☑ |
Physician visits | ☑ | ☑ |
Blood tests | ☑ | ☑ |
DXA scans | ☑ | ☑ |
Future related costs (i.e., treatment for fractures) | ☑ | ☑ |
Future unrelated medical costs | ☐ | ☐ |
Non−healthcare sector | ||
Cost of long-term care after fracture | ☑ | ☐ |
Cost of unpaid lost productivity due to fracture | ☐ | ☐ |
Value (base case) | Range for deterministic sensitivity analysis | Distribution and range for probabilistic sensitivity analysis | Reference | |
---|---|---|---|---|
Efficacy (relative risk) | ||||
Zoledronic acid for hip fracture | 0.64 | 0.47–0.86* | Beta: 0.47–0.86* | [21] |
Zoledronic acid for clinical vertebral fracture | 0.40 | 0.29–0.55* | Beta: 0.29–0.55* | |
Denosumab for hip fracture | 0.56 | 0.31–0.94* | Beta: 0.31–0.94* | |
Denosumab for clinical vertebral fracture | 0.30 | 0.21–0.43* | Beta: 0.21–0.43* | |
Alendronate for hip fracture | 0.64 | 0.45–0.88* | Beta: 0.45–0.88* | |
Alendronate for clinical vertebral fracture | 0.50 | 0.40–0.64* | Beta: 0.40–0.64* | |
Cumulative persistence rates, first, second, and third year (%) | ||||
Zoledronic acid | 100, 52, 36 | 100, 40–65, 23–50* 3)+ 100, 87, 85* (ages 65, 70, 75) 3)+ 100, 67, 57* (age 80) | Beta: 100, 40–65, 23–50* | [22] |
Denosumab | 81, 55, 37 | 1)+ 76–85, 48–63, 33–43*# 2)+, 3)+ 94, 92, 87* (age 65, 70, 75) 2)+, 3)+ 83, 71, 59* (age 80) | Beta: 76–85, 48–63, 33–43*# | |
Alendronate | 55, 39, 28 | Triangular: ± 25%# | Triangular: ± 25%# | [24] |
Adherence rates at first, second, and third year (%) | N/A | |||
Zoledronic acid | 100, 100, 100 | N/A | N/A | N/A |
Denosumab | 100, 100, 100 | N/A | N/A | [22] |
Alendronate | 71, 68, 66 | Triangular: ± 13%# | Triangular: ± 13%# | [24] |
Costs ¥ (U.S. dollars), ¥ 105 = 1 U.S. dollars | ||||
Annual medication costs and costs for prescription charge at pharmacy | ||||
Zoledronic acid | ¥38,000 ($360) | N/A | N/A | [38] |
Denosumab | ¥58,000 ($550) | 60% of the current cost# | N/A | |
Alendronate | ¥8700 ($83) | N/A | N/A | |
Prescription charge for alendronate | ¥1700 ($16) | N/A | N/A | [39] |
Costs for physician visit, blood test, and DXA scan | ||||
First visit, zoledronic acid | ¥5500 ($52) | N/A | N/A | [39] |
Subsequent visit, zoledronic acid | ¥3900 ($37) | N/A | N/A | |
First visit, denosumab | ¥3100 ($30) | N/A | N/A | |
Subsequent visit, denosumab | ¥1500 ($14) | N/A | N/A | |
First visit, alendronate | ¥3600 ($34) | N/A | N/A | |
Subsequent visit, alendronate | ¥1900 ($18) | N/A | N/A | |
Blood test | ¥2900 ($28) | N/A | N/A | |
DXA scan | ¥4500 ($43) | N/A | N/A | |
Medical costs | ||||
Hip fracture | ¥1,726,000 ($16,440) | ± 50%# | Triangular: ± 50%# | [40] |
First clinical vertebral fracture | ¥420,000 ($4000) | ± 50%# | Triangular: ± 50%# | |
Subsequent clinical vertebral fracture | ¥842,000 ($8020) | |||
Annual long-term care costs | ||||
The “post-hip fracture” state | ¥876,000 ($8340) | ± 50%# | Triangular: ± 50%# | |
The “post-vertebral fracture” state | ¥213,000 ($2030) | |||
Utilities | ||||
Ages 65–69 | 0.862 | N/A | Triangular: ± 15%# | [32] |
Ages 70–74 | 0.810 | N/A | ||
Ages 75–79 | 0.771 | N/A | ||
Ages 80–84 | 0.769 | N/A | ||
Age 85 + | 0.684 | N/A | ||
Disutilities (multiplier) | ||||
Hip fracture, first year | 0.776 | N/A | Beta: 0.720–0.844* | |
Hip fracture, beyond first year | 0.855 | N/A | Beta: 0.800–0.909* | |
Clinical vertebral fracture, first year | 0.724 | N/A | Beta: 0.667–0.779* | |
Clinical vertebral fracture, beyond first year | 0.868 | N/A | Beta: 0.827–0.922* | |
Annual incidence rates of hip fracture per 100,000 persons (without intervention) | ||||
Age 65–69 | 83.9 | ± 50%# | Triangular: ± 10%# | [26] |
Age 70–74 | 158.1 | |||
Age 75–79 | 362.2 | |||
Age 80–84 | 851.1 | |||
Age 85–89 | 1580.2 | |||
Age 90–94 | 2466.0 | |||
Age 95–99 | 2961.7 | |||
Age 100 + | 2471.0 | |||
Annual incidence rates of clinical vertebral fracture per 100,000 persons (without intervention) | ||||
Age 65–69 | 156.7 | ± 50%# | Triangular ± 25%# | |
Age 70–74 | 513.9 | |||
Age 75–79 | 1106.2 | |||
Age 80–84 | 2034.1 | |||
Age 85–89 | 2331.2 | |||
Age 90–95 | 3638.0 | |||
Age 95–100 | 4369.3 | |||
Age 100 + | 3645.4 | |||
Relative risks of hip fracture for individuals with osteoporosis | ||||
Age 65–69 | 2.39 | N/A | Gamma: 2.16–2.60* | [2] |
Age 70–74 | 1.89 | N/A | Gamma: 1.79–1.99* | |
Age 75–79 | 1.57 | N/A | Gamma: 1.52–1.62* | |
Age 80–84 | 1.35 | N/A | Gamma: 1.32–1.38* | |
Age 85 + | 1.25 | N/A | Gamma: 1.22–1.27* | |
Relative risks of clinical vertebral fracture for individuals with osteoporosis | ||||
Age 65–69 | 2.47 | N/A | Gamma: 2.10–2.86* | [2] |
Age 70–79 | 2.09 | N/A | Gamma: 1.84–2.34* | |
Age 80 + | 1.86 | N/A | Gamma: 1.68–2.04* | |
Relative risks of subsequent fracture associated with prior fracture at the same location | ||||
Hip fracture | 2.3 | N/A | Gamma: 1.5–3.7* | [2] |
Clinical vertebral fracture | 4.4 | N/A | Gamma: 3.6–5.4* | |
Relative hazards for mortality after a hip fracture | ||||
Within a year | 2.87 | N/A | Gamma: 2.52–3.27* | [30] |
Second year and beyond | 1.73 | N/A | Gamma: 1.56–1.90* | |
Relative hazards for mortality after a clinical vertebral fracture | ||||
Within a year | 1.0 | 2.87# (same as hip fracture) | N/A | [13] |
Second year and beyond | 1.0 | 1.73# (same as hip fracture) | N/A | |
Proportions of excess mortality attributable to a fracture (%) | ||||
Hip fracture | 25 | N/A | Triangular: 0–50# | [2] |
Clinical vertebral fracture | 0 | 25# (same as hip fracture) | N/A | |
Discount rates (%) | ||||
Costs | 2 | N/A | Triangular: 0–4@ | [17] |
Quality-adjusted life-years | 2 | N/A | Triangular: 0–4@ |
Model structure (Fig. 1)
Target population
Efficacy of treatments
5) Transition probabilities
a) Fracture rates
b) Mortality rates
6) Utilities
7) Costs
a) Formal healthcare sector
b) Non‑healthcare sector
Model simulation and sensitivity analysis
Results
Model validation
Base case analysis
Lifetime cost (US dollars, $1 = ¥105) | Quality-adjusted life-years (QALY) | Incremental cost-effectiveness ratio | |
---|---|---|---|
From the public healthcare and long-term care payer’s perspective (primary analysis) | |||
Age 65 | |||
Zoledronic acid | $23,710 | 14.219 | Cost-saving |
Denosumab/alendronate | $24,160 | 14.218 | Comparator |
Age 70 | |||
Zoledronic acid | $24,050 | 11.628 | Cost-saving |
Denosumab/alendronate | $24,540 | 11.626 | Comparator |
Age 75 | |||
Zoledronic acid | $22,930 | 9.201 | Cost-saving |
Denosumab/alendronate | $23,500 | 9.196 | Comparator |
Age 80 | |||
Zoledronic acid | $19,650 | 6.942 | Cost-saving |
Denosumab/alendronate | $20,290 | 6.935 | Comparator |
From the public healthcare payer’s perspective (sub-analysis) | |||
Age 65 | |||
Zoledronic acid | $9320 | 14.219 | Cost-saving |
Denosumab/alendronate | $9760 | 14.218 | Comparator |
Age 70 | |||
Zoledronic acid | $9810 | 11.628 | Cost-saving |
Denosumab/alendronate | $10,260 | 11.626 | Comparator |
Age 75 | |||
Zoledronic acid | $9750 | 9.201 | Cost-saving |
Denosumab/alendronate | $10,240 | 9.196 | Comparator |
Age 80 | |||
Zoledronic acid | $8810 | 6.942 | Cost-saving |
Denosumab/alendronate | $9340 | 6.935 | Comparator |
Deterministic sensitivity analysis
Cumulative persistence rates, first, second, and third year (%) | Age 65 | Age 70 | Age 75 | Age 80 | ||
---|---|---|---|---|---|---|
Denosumab | ZA | |||||
Base case (ages 65, 70, 75, or 80) | 81, 55, 37 | 100, 52, 36 | ZA: cost-saving | ZA: cost-saving | ZA: cost-saving | ZA: cost-saving |
Sensitivity analysis 1* (ages 65, 70, 75, or 80) | 85, 63, 43 | 100, 52, 36 | ICER of D/A $980,400/QALY | ICER of D/A $699,300/QALY | ICER of D/A $537,000/QALY | ZA: cost-saving |
Sensitivity analysis 2** (ages 65, 70, or 75) | 94, 92, 87 | 100, 52, 36 | ICER of D/A $87,200/QALY | ICER of D/A $29,000/QALY | ICER of D/A $6,400/QALY | N/A |
Sensitivity analysis 3*** (ages 65, 70, or 75) | 94, 92, 87 | 100, 87, 85 | ICER of D/A $176,300/QALY | ICER of D/A $111,300/QALY | ICER of D/A $60,900/QALY | N/A |
Sensitivity analysis 2** (age 80) | 83, 71, 59 | 100, 52, 36 | N/A | N/A | N/A | ICER of D/A $50,500/QALY |
Sensitivity analysis 3*** (age 80) | 83, 71, 59 | 100, 67, 57 | N/A | N/A | N/A | ZA: cost-saving |