| Literature DB >> 29341180 |
Yuhuan Chen1, Régis Pouillot1, Sofia M Santillana Farakos1, Steven Duret1, Judith Spungen1, Tong-Jen Fu2, Fazila Shakir1, Patricia A Homola1, Sherri Dennis1, Jane M Van Doren1.
Abstract
We developed a risk assessment of human salmonellosis associated with consumption of alfalfa sprouts in the United States to evaluate the public health impact of applying treatments to seeds (0-5-log10 reduction in Salmonella) and testing spent irrigation water (SIW) during production. The risk model considered variability and uncertainty in Salmonella contamination in seeds, Salmonella growth and spread during sprout production, sprout consumption, and Salmonella dose response. Based on an estimated prevalence of 2.35% for 6.8 kg seed batches and without interventions, the model predicted 76,600 (95% confidence interval (CI) 15,400-248,000) cases/year. Risk reduction (by 5- to 7-fold) predicted from a 1-log10 seed treatment alone was comparable to SIW testing alone, and each additional 1-log10 seed treatment was predicted to provide a greater risk reduction than SIW testing. A 3-log10 or a 5-log10 seed treatment reduced the predicted cases/year to 139 (95% CI 33-448) or 1.4 (95% CI <1-4.5), respectively. Combined with SIW testing, a 3-log10 or 5-log10 seed treatment reduced the cases/year to 45 (95% CI 10-146) or <1 (95% CI <1-1.5), respectively. If the SIW coverage was less complete (i.e., less representative), a smaller risk reduction was predicted, e.g., a combined 3-log10 seed treatment and SIW testing with 20% coverage resulted in an estimated 92 (95% CI 22-298) cases/year. Analysis of alternative scenarios using different assumptions for key model inputs showed that the predicted relative risk reductions are robust. This risk assessment provides a comprehensive approach for evaluating the public health impact of various interventions in a sprout production system.Entities:
Keywords: Interventions; pathogens in sprouts; risk assessment; seed treatment; spent irrigation water testing
Mesh:
Year: 2018 PMID: 29341180 PMCID: PMC6099441 DOI: 10.1111/risa.12964
Source DB: PubMed Journal: Risk Anal ISSN: 0272-4332 Impact factor: 4.000
Figure 1Conceptual overview of the Salmonella in alfalfa sprouts risk assessment model.
Overview of Input Variables, Mathematical Notations, and Equations for the Salmonella‐Alfalfa Sprouts Risk Assessment Model
| Parameter | Symbol (Unit) | Definition |
|---|---|---|
|
| ||
| Initial conditions for seeds | ||
| Initial unit size |
| 25 g |
| Batch size |
| Uniform(6,810, 22,700) g, i.e., Uniform(15, 50) lb |
| Units per batches |
|
|
| Units per 6.8 kg batches |
| 6,810 / |
| Initial batch prevalence |
| 2.35% (i.e., 4/170 per 6.8 kg batches) [Beta(4+0.5,170–4+0.5)] |
| Prevalence of contaminated units |
|
|
| Initial number of positive units per contaminated batch |
| ∼ BinomialPos( |
| Initial levels in positive unit |
| UniformDiscrete (1, |
| Total number of cells in positive batch |
|
|
|
| ||
| Log10 reduction from seed treatment |
| Choice: 0 log10, 1 log10, 2 log10, 3 log10, 4 log10, or 5 log10 |
| Probability of survival |
| 10(‐
|
| Number of cells in positive batch post seed treatment disinfection |
| ∼ BinomialPos( |
| Number of cells in positive units |
| ∼ Multinomial( |
| Number of positive units per contaminated batch post seed treatment disinfection |
| Number of units with |
| Prevalence of contaminated batches post seed treatment disinfection |
|
|
|
| ||
| In‐process pathogen spread multiplier |
| UniformDiscrete(1,5) |
| Number of positive units |
|
|
| Number of cells in positive units post spread |
|
|
|
| ||
| Pathogen growth: growth rate |
| BetaPert(0.03, 0.11, 0.54) × log(10) |
| Maximum growth: number of generations |
| Uniform( |
| Growth at time |
| minute( |
| Maximum population density | MPD (CFU/g) | 4 log10 |
| Time of SIW sampling |
| 48 hours |
| Duration of cell growth during production |
| 120 hours |
| Number of cells in each unit at the time of SIW sampling |
|
|
| Number of cells in each unit at the end of cell growth during production |
|
|
|
| ||
| Coverage of production batch by irrigation water during sampling |
| Choice: 0, 20, 40, 60, 80, or 100 (%) |
| Number of positive units touched by spent irrigation water |
| ∼ HypergeometricPos( |
| Probability to have a positive unit touched by spent irrigation water |
|
|
| Corresponding number of cells in sampled in‐process sprouts |
| Sum of |
| Yield of sprouts |
| Uniform(6, 7) times |
| Ratio of volume of water to seeds/in‐process sprouts per irrigation cycle |
| [volume Uniform(1, 5):1] |
| Differences in pathogen log10 concentrations between spent irrigation water and sprouts |
| Empirical distribution (Fig. |
| Proportion of cells transferring from in‐process sprouts to water |
| 1/(1 + ( |
|
| ||
| Number of cells in the positive SIW |
| ∼ BinomialPos( |
| Probability to have a contaminated SIW |
|
|
| Volume water used for irrigation during sampling |
|
|
| Volume of SIW tested |
| Choice: 0.75 L, 0.20 L, and 1.5 L |
| Number of cells in the positive SIW sample |
| ∼ BinomialPos( |
| Probability to have a contaminated sample |
|
|
| Probability to detect one cell |
| Choice: 1 and 0.8 |
| Probability to obtain a positive sample |
|
|
| Testing efficiency |
|
|
| Probability of a batch of sprouts being positive post SIW test |
|
|
| Batch kept following SIW testing | Sample with replacement over iteration, each batch having a probability | |
| Prevalence post‐test and discard of positive batches |
| Mean over the iterations of |
| Size of a batch of sprouts |
|
|
| Size of a unit of sprouts |
|
|
|
| ||
| Extent of mixing/pathogen spread |
| [Ranging from no spread, to partial spread, to complete spread from one or more contaminated units [ |
| Size of partial mixing of sprouts |
|
|
| Number of contaminated units in the partial mixing |
| ∼HyperGeometricPos( |
| Corresponding number of cells in partial mix |
| Sum of cells |
| Probability to have a contaminated partial mix |
|
|
|
| ||
| Grams of sprouts per eating occasion (i.e., per serving) |
| Empirical distribution |
| Number of cells in a contaminated serving |
| ∼BinomialPos( |
| Prevalence in servings |
|
|
|
| ||
| Parameter of the beta‐Poisson dose–response model |
| Median estimates evaluated using |
| Risk per contaminated serving |
| 1 – BetaFunction( |
| Eating occasions per year |
| 8.52E+07 |
| Expected number of cases |
|
a[x]: integer part of x. x!: factorial x. BinomialPos(n, p): binomial distribution restricted on the positive domain. HypergeometricPos(m, n, k): hypergeometric distribution with m, the number of successes, n, the number of failures, and k the number of samples, restricted on the positive domain. Beta(a, b): β distribution. BetaFunction(x, y): β function.
bUncertainty for the model input is shown within the bracket for: initial seed batch prevalence, initial levels per positive seed unit, vol/wt ratio of volume of water to seeds/in‐process sprouts per irrigation cycle; pathogen growth maximum number of generations, postharvest extent of mixing/pathogen spread, and dose response.
Figure 2Histogram for parameter A, the differences in pathogen concentrations (log10 CFU/g) between in‐process sprouts and spent irrigation water (data extracted from Refs. 31, 35, 36, 50, and 51), and parameter B, the proportion of pathogen cells transferred from the sprouts to the spent irrigation water.
Predicted Fraction of Sprout Batches Contaminated, Number of Cases per Year, and Risk Reduction, with Uncertainty Range, Before and After Seed Treatment Alone or Combined with SIW Testing
| Risk Reduction | ||||
|---|---|---|---|---|
| Scenario, Seed Treatment with or without SIW Testing | Percent of Sprout Batches Contaminated | Number of Cases/Year | Percent Reduction in Cases | Log10 Change in Cases |
| No treatment | 5.22 [1.84, 12.0] | 76,600 [15,400, 248,000] | ||
| 1 log | 2.32 [0.81, 5.46] | 12,100 [2,900, 39,300] | 84.4 [79.7, 84.7] | –0.807 [–0.693, –0.817] |
| 2 log | 0.310 [0.107, 0.743] | 1,360 [327, 4,390] | 98.2 [97.6, 98.3] | –1.76 [–1.62, –1.77] |
| 3 log | 0.0320 [0.0111, 0.0768] | 139 [33.1, 448] | 99.8 [99.76, 99.83] | –2.75 [–2.62, –2.76] |
| 4 log | 0.00321 [0.00111, 0.00771] | 13.9 [3.29, 44.9] | 99.98 [99.976, 99.983] | –3.75 [–3.61, –3.76] |
| 5 log | 0.000321 [0.000111, 0.000771] | 1.39 [0.329, 4.48] | 99.998 [99.9976, 99.9983] | –4.75 [–4.61, –4.76] |
| 0‐log, SIW test | 0.811 [0.260, 2.34] | 12,100 [2,400, 41,200] | 85.9 [72.5, 87.2] | –0.851 [–0.561, –0.892] |
| 1 log, SIW test | 0.688 [0.220, 1.68] | 3,560 [821, 11,400] | 95.6 [93.1, 96.0] | –1.36 [–1.16, –1.40] |
| 2 log, SIW test | 0.100 [0.0321, 0.248] | 441 [100, 1,420] | 99.5 [99.1, 99.5] | –2.27 [–2.07, –2.30] |
| 3 log, SIW test | 0.0104 [0.00332, 0.0259] | 44.9 [10.2, 146] | 99.94 [99.91, 99.949] | –3.25 [–3.06, –3.29] |
| 4 log, SIW test | 0.00105 [0.000334, 0.00260] | 4.50 [1.02, 14.8] | 99.994 [99.991, 99.995] | –4.25 [–4.06, –4.29] |
| 5 log, SIW test | 0.000105 [0.0000334, 0.000260] | 0.449 [0.103, 1.47] | 99.9994 [99.9991, 99.9995] | –5.26 [–5.06, –5.29] |
aSpent irrigation water (SIW) testing (when applied) based on 100% coverage. Median estimate is shown with the 95% confidence interval in the bracket.
bPercent of sprout batches (15–50 lb or 6.8–22.7 kg, finished product) contaminated before or after the intervention(s) and sold to the market.
cRisk reduction calculated in two ways based on R = [cases with treatment/cases without treatment]: the percent risk reduction defined as (1–R)×100; and the log10 risk reduction defined as log10 R.
Predicted Number of Cases per Year and Production Batch Contamination After Spent Irrigation Water Testing, But without Seed Treatment
| Scenario, Irrigation Coverage | Number of Cases/Year | Risk Reduction | Percent of Sprout Batches Contaminated, Remained | Percent Reduction in Sprout Batches Contaminated |
|---|---|---|---|---|
| 0% (no testing) | 76,600 [15,400, 248,000] | 5.22 [1.84, 12.0] | ||
| 20% | 44,200 [9,000, 141,000] | 42.5 [36.9, 45.0] | 3.05 [1.06, 7.03] | 42.5 [36.9, 43.8] |
| 40% | 28,400 [5,700, 89,900] | 64.5 [54.3, 66.1] | 1.95 [0.662, 4.50] | 64.5 [54.3, 65.3] |
| 60% | 19,800 [3,910, 61,900] | 76.0 [64.5 ,77.1] | 1.36 [0.448, 3.25] | 75.5 [63.7, 76.6] |
| 80% | 15,100 [3,010, 50,600] | 82.2 [69.8, 83.4] | 1.02 [0.333, 2.71] | 81.8 [69.1, 83.0] |
| 100% | 12,100 [2,400, 41,200] | 85.9 [72.5, 87.1] | 0.811 [0.260 ,2.34] | 85.9 [72.5, 87.1] |
aMedian estimate is shown with the 95% confidence interval in the bracket.
bPercent reduction in cases, defined as (1–[cases with SIW testing]/[cases without SIW testing])×100. SIW, spent irrigation water.
cPercent of sprout batches (15–50 lb or 6.8–22.7 kg, finished product) contaminated sold to the market.
Figure 3Contour plot of the log10 reduction in the number of cases/year after combined seed treatment and SIW testing (from simulations without considering uncertainty). The log reduction was defined as the log10 ([cases with treatment and/or testing]/[cases without treatment or testing]) as a function of the irrigation water coverage (the y‐axis, from 0% to 100%) and the log10 reduction in the seed treatment disinfection step (the x‐axis, from 0 log10 to 5 log10).
Predicted Batch Contamination and the Number of Cases per Year Given Alternative Assumptions
| Scenario, Alternative Assumptions | Percent of Sprout Batches Contaminated | Number of Cases/Year | Log10 Change in Cases |
|---|---|---|---|
|
|
|
|
|
| MPD 7 log10CFU/g | 0.0320 [0.0111, 0.0768] | 139 [33.1, 449] | –2.75 [–2.62, –2.76] |
| Seed treatment variability (3 ± 0.5) log10 | 0.0380 [0.0131, 0.0903] | 166 [40.0, 531] | –2.66 [–2.54, –2.68] |
| Growth rate and MPD correlation factor = 0 | 0.0320 [0.0111, 0.0768] | 138 [32.9, 449] | –2.74 [–2.62, –2.76] |
| Prevalence in seeds 0.235% | 0.00457 [0.000161, 0.0290] | 19.7 [0.647, 161] | –2.76 [–2.62, –2.76] |
| Prevalence in seeds 23.5% | 0.355 [0.262, 0.487] | 1,620 [617, 2910] | –2.70 [–2.59, –2.71] |
|
|
|
|
|
| MPD 7 log10CFU/g | 0.0104 [0.00332, 0.0259] | 45.0 [10.2, 147] | –3.25 [–3.06, –3.29] |
| Seed treatment variability (3 ± 0.5) log10 | 0.0123 [0.00393, 0.0311] | 53.4 [12.3, 171] | –3.18 [–2.98, –3.22] |
| Growth rate and MPD correlation factor = 0 | 0.0109 [0.00347, 0.0269] | 47.0 [10.7, 152] | –3.24 [–3.05, –3.27] |
| Ratio of water to in‐process sprouts 1:1 | 0.00979 [0.00317, 0.0245] | 42.8 [9.92, 139] | –3.29 [–3.07, –3.31] |
| Ratio of water to in‐process sprouts 5:1 | 0.0108 [0.00352, 0.0268] | 47.3 [10.9, 153] | –3.24 [–3.04, –3.26] |
| Probability to detect one cell: 0.8 | 0.0112 [0.00358, 0.0275] | 48.3 [11.0, 158] | –3.22 [–3.03, –3.26] |
| Time to SIW sampling 12 hours | 0.0178 [0.00602, 0.0437] | 77.2 [18.5, 257] | –3.00 [–2.86, –3.03] |
| Time to SIW sampling 24 hours | 0.0117 [0.00380, 0.0286] | 50.4 [11.6, 164] | –3.20 [–3.03, –3.24] |
| Time to SIW sampling 36 hours | 0.0107 [0.00340, 0.0263] | 46.5 [10.6, 149] | –3.24 [–3.05, –3.28] |
| Prevalence in seeds 0.235% | 0.00147 [0.0000485, 0.00995] | 6.29 [0.193, 52.8] | –3.26 [–3.07, –3.30] |
| Prevalence in seeds 23.5% | 0.114 [0.0782, 0.181] | 517 [198, 956] | –3.21 [–3.03, –3.24] |
aPredicted based on 3‐log10 seed treatment and the specified alternative assumption replacing the corresponding input in the reference scenario. Reference scenario inputs: maximum population density (MPD) 4 log10CFU/g, growth rate and MPD correlation factor = 0.7, time to SIW sampling 48 hours, ratio of water to in‐process sprouts Uniform(1,5):1, probability to detect one cell = 1, prevalence in seeds 2.35%, and 100% coverage if SIW test is performed. The 0.235% and 23.5% prevalence was defined based on a total number of 170 samples to be consistent with how the reference prevalence of 2.35% was defined. SIW, spent irrigation water.
bMedian estimate is shown with the 95% confidence interval in the bracket.
cRisk reduction log10(cases with treatment/cases without treatment). Cases without treatment are 76,600 [15,400, 248,000], 10,600 [320, 91,200], and 798,000 [243,000, 1,390,000] based on prevalence in seeds for the reference (2.35%), the lower assumption (0.235%), and the higher assumption (23.5%), respectively.