| Literature DB >> 32735339 |
A David Paltiel1, Amy Zheng2, Rochelle P Walensky2,3.
Abstract
Importance: The coronavirus disease 2019 (COVID-19) pandemic poses an existential threat to many US residential colleges; either they open their doors to students in September or they risk serious financial consequences. Objective: To define severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) screening performance standards that would permit the safe return of students to US residential college campuses for the fall 2020 semester. Design, Setting, and Participants: This analytic modeling study included a hypothetical cohort of 4990 students without SARS-CoV-2 infection and 10 with undetected, asymptomatic SARS-CoV-2 infection at the start of the semester. The decision and cost-effectiveness analyses were linked to a compartmental epidemic model to evaluate symptom-based screening and tests of varying frequency (ie, every 1, 2, 3, and 7 days), sensitivity (ie, 70%-99%), specificity (ie, 98%-99.7%), and cost (ie, $10/test-$50/test). Reproductive numbers (Rt) were 1.5, 2.5, and 3.5, defining 3 epidemic scenarios, with additional infections imported via exogenous shocks. The model assumed a symptomatic case fatality risk of 0.05% and a 30% probability that infection would eventually lead to observable COVID-19-defining symptoms in the cohort. Model projections were for an 80-day, abbreviated fall 2020 semester. This study adhered to US government guidance for parameterization data. Main Outcomes and Measures: Cumulative tests, infections, and costs; daily isolation dormitory census; incremental cost-effectiveness; and budget impact.Entities:
Mesh:
Year: 2020 PMID: 32735339 PMCID: PMC7395236 DOI: 10.1001/jamanetworkopen.2020.16818
Source DB: PubMed Journal: JAMA Netw Open ISSN: 2574-3805
Model Input Parameters and Scenarios
| Model parameter | Input | References |
|---|---|---|
| Compartments in initial population, No. | ||
| Noninfected, susceptible | 4990 | US News and World Report,[ |
| Infected, asymptomatic | 10 | Assumption |
| All other compartments | 0 | Assumption |
| Time horizon, d | 80 | Hubler,[ |
| Disease dynamics | ||
| Mean incubation time, θ | 3 d | He et al,[ |
| Time to recovery, 1/ρ | 14 d | Lauer et al,[ |
| Time to false-positive return, 1/μ | 1 d | Assumption |
| Probability of symptoms given infection, % | 30 | Day,[ |
| Symptomatic case fatality ratio, % | 0.05 | CDC,[ |
| Transmission rate, β | Dependent on Rt | NA |
| Rate of symptom development, σ | Dependent on Rt | NA |
| Scenarios | ||
| Effective Rt | ||
| Best | 1.5 | CDC,[ |
| Base | 2.5 | |
| Worst | 3.5 | |
| Test specificity, ie, true-negative rate, % | ||
| Best | 99.7 | Lieberman et al[ |
| Base | 98.0 | |
| Worst | 98.0 | |
| Exogenous infections per wk, No. | ||
| Best | 5 | Assumption |
| Base | 10 | |
| Worst | 25 | |
| Test characteristics | ||
| Sensitivity, ie, true-positive rate, % | ||
| Test I | 70 | Assumption |
| Test II | 80 | |
| Test III | 90 | |
| Cost per test, $ | ||
| Test I | 10 | Assumption |
| Test II | 25 | |
| Test III | 50 | |
| Time to test result return, h | 8 | Assumption |
| Confirmatory test | ||
| Sensitivity, % | 100 | Assumption |
| Cost, $ | 100 | Assumption |
Abbreviations: CDC, US Centers for Disease Control and Prevention; NA, not applicable; Rt, reproduction number.
Figure 1. Cumulative Infections as a Function of Test Sensitivity and Frequency
During an 80-day horizon, for the base case (Rt of 2.5, test specificity of 98%, and 10 exogenous infections per week) (A), worst case (Rt of 3.5, test specificity of 98%, and 25 exogenous infections per week) (B), and best case (Rt of 1.5, test specificity of 99.7%, and 5 exogenous infections per week) (C), these panels report cumulative infections for tests with sensitivity ranging from 70% to 99%.
Figure 2. Projecting the Required Size of the Isolation Dormitory
An isolation dormitory needs to be large enough to house students with false-positive results, students with symptoms, and students without symptoms who have received true-positive results. During the 80-day horizon, these panels depict the number of students in the isolation dormitory using a 70% sensitive, 98% specific test under the base case scenario (ie, Rt of 2.5). The effect of exogenous shocks (10 per week) is visible in the scalloped borders with daily screening and screening every 2 days (A, B); this is less evident with less frequent testing and symptom-based screening (C, D), in which the number of true-positive cases masks the comparatively small effect of exogenous shocks.
Results of the Incremental Cost-effectiveness Analysis in the Base-Case, Worst-Case, and Best-Case Scenarios
| Frequency | Test sensitivity, % | Cost, $ | Total infections | Incremental cost-effectiveness ratio, $/infection averted |
|---|---|---|---|---|
| Symptom-based screening | NA | NA | 4970 | NA |
| Weekly | 70 | 696 000 | 1840 | 200 |
| Weekly | 80 | 1 490 700 | 1422 | Dominated |
| Every 3 d | 70 | 1 564 500 | 379 | 600 |
| Every 2 d | 70 | 2 340 600 | 243 | 5700 |
| Weekly | 90 | 2 837 500 | 1118 | Dominated |
| Every 3 d | 80 | 3 501 800 | 319 | Dominated |
| Daily | 70 | 4 642 700 | 162 | 28 400 |
| Every 2 d | 80 | 5 254 900 | 219 | Dominated |
| Every 3 d | 90 | 6 740 400 | 280 | Dominated |
| Every 2 d | 90 | 10 118 700 | 202 | Dominated |
| Daily | 80 | 10 440 000 | 154 | 752 600 |
| Daily | 90 | 20 106 900 | 149 | 1 692 900 |
| Symptom-based screening | NA | NA | 4991 | NA |
| Weekly | 70 | 673 600 | 4991 | Dominated |
| Weekly | 80 | 1 274 200 | 4988 | Dominated |
| Every 3 d | 70 | 1 509 300 | 2373 | Dominated |
| Every 2 d | 70 | 2 266 400 | 998 | 600 |
| Weekly | 90 | 2 310 000 | 4951 | Dominated |
| Every 3 d | 80 | 3 292 800 | 1731 | Dominated |
| Daily | 70 | 4 543 900 | 481 | 4400 |
| Every 2 d | 80 | 5 063 200 | 814 | Dominated |
| Every 3 d | 90 | 6 347 900 | 1335 | Dominated |
| Every 2 d | 90 | 9 764 100 | 701 | Dominated |
| Daily | 80 | 10 207 500 | 445 | 159 700 |
| Daily | 90 | 19 666 200 | 420 | 377 500 |
| Symptom-based screening | NA | NA | 1067 | NA |
| Weekly | 70 | 587 800 | 188 | 700 |
| Every 3 d | 70 | 1 364 600 | 103 | 9100 |
| Weekly | 80 | 1 432 700 | 168 | Dominated |
| Every 2 d | 70 | 2 044 500 | 85 | 38 800 |
| Weekly | 90 | 2 842 200 | 152 | Dominated |
| Every 3 d | 80 | 3 343 100 | 96 | Dominated |
| Daily | 70 | 4 080 900 | 69 | 128 100 |
| Every 2 d | 80 | 5 013 900 | 81 | Dominated |
| Every 3 d | 90 | 6 642 100 | 91 | Dominated |
| Every 2 d | 90 | 9 964 200 | 78 | Dominated |
| Daily | 80 | 10 016 800 | 68 | 3 156 700 |
| Daily | 90 | 19 911 200 | 66 | 6 833 800 |
Abbreviations: NA, not applicable.
Strategies that cost more and result in more infections than some combination of other strategies are labeled dominated.
Base-case scenario had a reproduction number of 2.5, 10 exogenous shock infections each week, and a maximum willingness-to-pay threshold of $8500 per infection averted.
Worst-case scenario had a reproduction number of 3.5, 25 exogenous shock infections each week, and a maximum willingness-to-pay threshold of $11 600 per infection averted.
Best-case scenario had a reproduction number of 1.5, 5 exogenous shock infections each week, a test with 99.7% specificity, and a maximum willingness-to-pay threshold of $5500 per infection averted.
Per-Student Costs for Optimal Policies During an 80-Day Horizon Under Base-Case, Worst-Case, and Best-Case Scenarios
| Scenario | Optimal policy | Cost per student, $ |
|---|---|---|
| Base case, ie, Rt of 2.5 | Screening every 2 d, 70% sensitivity | 470 |
| Worst case, ie, Rt of 3.5 | Daily screening, 70% sensitivity | 910 |
| Best case, ie, Rt of 1.5 | Weekly screening, 70% sensitivity | 120 |
Abbreviation: Rt, reproduction number.