Table 1.
Author (Reference) |
Purpose of Model/Study | Modeling Methodology |
Disaster Evaluated† |
Decision Makers Considered* |
Geographic Setting |
Decisions Modeled§ |
Outcomes¶ |
---|---|---|---|---|---|---|---|
Disease Outbreaks | |||||||
Braithwaite, Fridsma, Roberts1 | To assess the cost-effectiveness of pre-exposure anthrax vaccination vs. an emergency surveillance and response system | Dynamic compartmental model | Anthrax | P | Local and Regional | Rx, P | $, QALY, M |
Hupert, Mushlin, Callahan3, 9 | To determine staffing levels necessary to maintain throughput requirements for antibiotic dispensing centers in the aftermath of a bioterrorism attack | Simulation (Discrete event) | Anthrax | P, PH | Local | D, S | L |
Lee and others34, 35 | To construct and implement a real-time decision support system for planning antibiotic dispensing in response to a large-scale disease outbreak | Simulation, Optimization | Anthrax | P, PH | Local (Urban setting) | D, S | L |
Brookmeyer, Johnson, Bollinger11, 79 | To assess the optimum duration of antibiotic prophylaxis and evaluate varying prophylactic strategies (pre or post-exposure vaccination, antibiotic prophylaxis) for anthrax response | Competing risks, probability/mathematical model | Anthrax | P, PH | Local | Rx, P | M |
Wein, Craft, and others66–68 | To evaluate the effectiveness of several response strategies for anthrax (pre-exposure vaccination, achievable levels of distributed antibiotic prophylaxis, biosensor efficacy) | Multi-tiered mathematical model | Anthrax | P | Local (A large city) | I, ND, Rx, P | L, M |
Fowler and others62 | To assess the cost-effectiveness of vaccination (pre- or post-exposure) vs. post-exposure antibiotic prophylaxis response strategies for anthrax | Simulation (Decision analytic) | Anthrax | P | Local (A large US metropolitan area) | Rx, P | $, QALY, M |
Schmitt and others63 | To evaluate the cost-effectiveness of vaccination (pre- or post-exposure) vs. post-exposure antibiotic prophylaxis response strategies for anthrax response | Simulation (Markov model) | Anthrax | P | Regional (Attack via US Postal Service) | Rx, P | $, QALY, M |
Zaric, Bravata, Brandeau, and others5, 41, 52 | To evaluate the cost-effectiveness of alternative strategies for maintaining and dispensing antibiotic inventories (local vs. regional) and communication with the public during an anthrax response | Dynamic compartmental model | Anthrax | P | Local (A large US metropolitan area) | I, ND, P | $, QALY, M |
Whitworth40 | To evaluate plans for anthrax response (e.g., number and location of dispensing centers, dispensing strategies, staffing plans, and traffic-management plans) | Simulation (Discrete event) | Anthrax | P | Local | D, S | L |
Medema and others60 | To evaluate health and economic outcomes of interventions for pandemic influenza (e.g., increasing the vaccine supply through egg-based or cell culture, provision of antivirals) | Simulation | Pandemic influenza | P, O | National | Rx | $, L, M |
van Genugten, Heijnen, Jager54 | To estimate (using FluSurge4) hospitalizations and deaths in the Netherlands from pandemic influenza, as a function of response strategy (no intervention, vaccinate high-risk individuals, vaccinate all, treat symptomatic people with antiviral drugs) | Spreadsheet | Pandemic influenza | PH | National (Netherlands) | P, Rx | M, H |
Longini and others56 | To investigate the effectiveness of targeted use of antivirals to contain the first wave of an influenza pandemic in the United States (before a vaccine can be developed) | Simulation (Stochastic, discrete time, network of 2000 individuals) | Pandemic influenza | PH | “A typical American community” | P, Rx | O |
Meltzer, Cox, Fukuda57 | To estimate outcomes of pandemic influenza (illnesses, deaths, etc.) and the effects of potential vaccination strategies, and to determine how much should be spent each year to plan/prepare for mass vaccination | Simulation (Monte Carlo) | Pandemic influenza | P | National (US) | P | $, M, H |
Eichner and others53 | To evaluate the impact of three types of interventions on pandemic influenza outcomes: antivirals, social distancing, and contact reduction | Compartmental epidemic model (Deterministic) | Pandemic influenza | P | National, Regional, or Local | P | M, L, H |
Wilson, Mansoor, Baker26 | To estimate population health and economic impacts of the next influenza pandemic in New Zealand | Deterministic model | Pandemic influenza | P | National (New Zealand) | P | $, H |
Zhang, Meltzer, Wortley4 | To estimate the impact of pandemic influenza on hospital services | Spreadsheet | Pandemic influenza | H, P | Regional | Rx | H, M |
Soberiaj and others25 | To estimate the impact of pandemic influenza on hospital services at the William Beaumont Army Medical Center in El Paso, Texas | Spreadsheet | Pandemic influenza | H, P | Local | Rx | M |
Siddiqui and Edmonds59 | To evaluate the cost-effectiveness of antiviral stockpiling and near-patient testing (rapid diagnostic tests at point of care) for an influenza pandemic in the United Kingdom | Spreadsheet (Incorporates a decision tree; allows for probabilistic and other sensitivity analyses) | Pandemic influenza | P, PH | National (UK) | I, Rx | $, QALY |
Balicer and others58 | To evaluate the cost-benefit of three different strategies for the use of stockpiled antiviral drugs during an influenza pandemic: therapeutic; long-term pre-exposure prophylaxis (PrEP), and short-term PrEP | Spreadsheet | Pandemic influenza | P, PH | National | I, Rx | $ |
Germann and others36 | To simulate pandemic influenza in the United States and evaluate the effect of potential mitigation strategies, including antivirals, vaccines, and modified social mobility (travel restrictions, school closures) | Simulation (Microsimulation of 281 million individuals in 2000-person subgroups) | Pandemic influenza | P | National (US) | P | M |
Khazeni and others61 | To estimate the cost-effectiveness of two control strategies for pandemic influenza: antiviral prophylaxis and prime-boost vaccination | Compartmental epidemic model (Deterministic) | Pandemic influenza | P, PH | Local (A large US metropolitan city) | P | $, QALY |
Colizza and others80 | To evaluate the effect of international travel restrictions and antiviral treatment on the worldwide spread of pandemic influenza | Compartmental epidemic model (Stochastic; linked models, one for each of 3100 cities/airports) | Pandemic influenza | P, PH | Global | P | M |
Gupta, Moyer, and Stern64 | To evaluate the cost-benefit of quarantine in controlling SARS | Mathematical (Deterministic) | SARS | PH | Local (Toronto) | P | $, M |
Lloyd-Smith, Galvani, and Getz81 | To evaluate the effects on SARS transmission within a hospital and a community of hospital-based contact precautions, quarantine, and isolation | Compartmental epidemic model (Stochastic) | SARS | H, PH | Local (Hospital and community) | P | M, O |
Lipsitch and others82 | To evaluate the effects on SARS transmission of quarantine and isolation measures | Compartmental epidemic model (Deterministic) | SARS | PH | Local | P | M, L, O |
Massin and others55 | To evaluate interventions for controlling a pneumonic plague outbreak: masks, quarantine, prophylaxis, travel restrictions | Compartmental epidemic model (Deterministic) | Plague | P | National, Regional | P | M |
Kaplan, Craft, Wein83 | To compare mass vaccination vs. ring vaccination for responding to a smallpox attack in a major US city | Compartmental epidemic model (deterministic) | Smallpox | PH | Regional | P | M |
Meltzer and others70 | To evaluate the amount of quarantine and vaccination (alone or in combination) that would be required to control a smallpox outbreak caused by bioterrorists, and to estimate the number of vaccine doses needed | Markov model (Spreadsheet) | Smallpox | P | Local | P | M |
Miller, Randolph, Patterson84 | To evaluate the effects on health and the healthcare system of strategies for responding to a smallpox attack, including vaccination (mass vaccination or ring vaccination), social distancing measures, and quarantine | Simulation (Discrete event, modeling individual people) | Smallpox | P | Local | P | M, H |
Glasser and others71 | To evaluate the effects of a variety of smallpox control strategies, including isolation of infectives, vaccination of healthcare workers, general vaccination, ring vaccination, and school closure | Compartmental epidemic model (Deterministic) | Smallpox | P | Local | P | M |
Porco and others85 | To evaluate the effects of contact tracing and ring vaccination in controlling smallpox | Simulation (Discrete event, network of households and workplaces/social groups) | Smallpox | P, PH | Local (A community with households, workplaces, social groups) | P | M |
Riley and Ferguson86 | To assess the efficacy of symptomatic case isolation, contact tracing with vaccination, and mass vaccination in controlling a smallpox outbreak | Simulation (Individual-based, incorporates spatial factors) | Smallpox | P | National (Great Britain) | P | M |
Natural Disasters | |||||||
Barbarosoğlu and Arda48 | To determine the most efficient flow of relief supplies in a transportation network in the aftermath of a rapid-onset disaster | Optimization (Stochastic programming) | Earthquake | P, FR | Local (Urban setting) | ND, T | L |
Balcik and Beamon39 | To determine the number and location of global distribution centers for stockpiled relief items, as well as the quantity of those items to be maintained, in order to improve disaster response | Optimization (Linear and dynamic programming) | Earthquake | P | Global | ND, T | L |
Fawcett and Oliveira15 | To estimate the impact of health facility damage, rescue time, and out-of-region transportation on overall mortality from an earthquake | Simulation | Earthquake | H, P, PH, O | Local (Lisbon, Portugal) | T, Rx | L, M,O |
Paul and others16 | To estimate the transient patient surge at regional hospitals resulting from an earthquake | Simulation (Discrete event with regression-based parameters) | Earthquake | H, P, PH, O | Regional | ND, S, T, Rx | L, H |
Regnier17 | To determine, for specific locations in the United States, the relationship between hurricane track prediction accuracy and lead time for evacuations | Simulation (Markov model) | Hurricane | P | Local (Four U.S. coastal cities) | T | L, $ |
Özdamar, Ekinci, Küçükyazici47 | To apply vehicle routing and multi-commodity network flow techniques to develop an algorithm for efficiently dispatching relief supplies to a community affected by a rapid-onset disaster | Optimization | General natural disaster | P | Regional | T | L |
Manmade Disasters | |||||||
Beamon and Kotleba18, 19 | To develop inventory management models (order quantities and reorder points) to aid sustained humanitarian response to complex emergencies | Optimization (Simulation used to test model in a case study) | Conventional warfare | P | Regional | I | L |
Papazoglou and Christou21 | To determine the best short-term emergency response to a nuclear accident, considering the tradeoff between adverse health effects and costs | Optimization (Multiobjective) | Nuclear | P | Regional | P | M, $ |
Feng and Keller22 | To evaluate different plans for distribution of potassium iodide after release of radioactive iodine caused by a nuclear accident or terrorism | Optimization (Multiobjective decision analysis) | Nuclear | P, PH | Regional | D, I, P | O |
Dombroski and Fischbeck49, 50 | To evaluate strategies (e.g., caring for patients at the bomb site vs. evacuation) for response to a “dirty bomb” (a conventional explosive wrapped in radioactive material) | Dispersion Model | Radiologic | FR, PH, O | Local | P, O | M, O |
Georgopoulos and others51 | To evaluate key parameters affecting the exposure of healthcare workers to hazardous materials from contaminated patients | Simulation | Chemical | H, P, FR | Local | P | M, O |
Inoue, Yanagisawa, Kamae20 | To determine how to increase patient survival rates after a large-scale disaster through improvements in triage and transport procedures | Simulation | Airport accident | FR, PH | Local (Urban airport) | T, O | M |
Christie and Levary45 | To develop a scenario planning tool for use in the event of a manmade rapid-onset disaster to effectively assign and transport patients for treatment | Simulation | Airplane crash in urban area | FR, PH | Local (Urban setting) | T, O | L |
Hospital Planning | |||||||
Levi and others27– 29, 53 | To evaluate Israeli hospitals’ disaster capacity and plans, train decision makers, and assist in managing real situations by identifying bottlenecks and evaluating a variety of response strategies | Simulation | Mass casualty events (e.g., conventional warfare) | H | Hospital | S, Rx, P, O | L, M, H |
Kanter30, 31 | To evaluate tradeoffs in pediatric hospital strategies that involve altering the standard of care and increasing ICU surge capacity | Simulation | Mass casualty events | H | Hospital | O | H |
Earnest and others32 | To predict the number of available isolation beds | Autoregressive moving average model | SARS | H | Hospital | O | H |
Hupert and others33 | To estimate overcrowding of emergency departments due to adverse events from rapid mass prophylaxis campaigns | Spreadsheet model | Smallpox, Anthrax | PH | Hospital | P | M,H |
Other Types of Models | |||||||
Han and others46 | To determine efficient route and destination assignments for public evacuation after a large-scale disaster | Simulation | Large-scale disaster requiring evacuation of large urban area | P | Local (Urban setting) | T | L |
Narzisi and others73 | To analyze hospital capacity, public health preparedness and response, and behavior of the public during a rapid-onset urban disaster | Simulation (Agent-based) | General disaster (distributed or point-source) | P | Local (Urban setting) | H | L |
Dekle and others38 | To apply facility location techniques to identify potential disaster recovery centers for a local planning authority | Optimization (Integer programming) | General large-scale disaster | P | Local (County) | ND, T | L |
Balcik, Beamon, and Smilowitz42 | To determine the allocation of relief supplies and scheduling and routing of vehicles for the “last mile” distribution of supplies in response to a disaster | Optimization (Mixed integer programming) | General disaster | P | Local | T, O | $, O |
Barbarosoğlu, Özdamar, Çevik43 | To evaluate operational routing and loading decisions for helicopter dispatch during the aftermath of a disaster | Optimization (Mixed integer programming) | General disaster | P | Local (Urban setting) | T | L |
Jotshi, Gong, Batta44 | To develop efficient emergency vehicle routing strategies in the aftermath of a major disaster using available real-time data | Optimization | General disaster | P | Local (Urban setting) | ND, T | H, L |
Disaster evaluated: Some of the included models apply to general disasters but for illustrative purposes used data from specific disaster types. Here, we have categorized them according to the specific type of disaster considered.
Decision makers considered: FR=first responders; H=hospital officials; P=planners (e.g., military planners, national-level emergency response planners); PH=public health officials; O=others (e.g., vaccine manufacturers)
Decisions modeled: D=dispensing; I=inventory/stockpiling; ND=supply chain network design; P=prevention or mitigation of the disaster effects (e.g., vaccination strategies, quarantine, isolation, prophylaxis); Rx=treatment; S=healthcare workforce staffing; T=transportation; O=others (e.g., financing, traffic management)
Outcomes: $=costs; H=hospital utilization measures (e.g., bed capacity); L=logistical outcomes such as inventory levels or queue lengths; M=morbidity or mortality; QALY=quality-adjusted life years; O=others (e.g., probability of containment).