Research Article  Open Access
Banked Human Milk and Quantitative Risk Assessment of Bacillus cereus Infection in Premature Infants: A Simulation Study
Abstract
Background. Banked human milk (BHM) offers potential health benefits to premature babies. BHM is pasteurized to mitigate infectious risks, but pasteurization is ineffective against sporulating bacteria such as Bacillus cereus. Sepsis related to Bacillus cereus in premature infants is severe and can often be fatal. Even if a causal link has never been established, BHM has been suggested as a potential source of infection in premature infants. Objective. Our aim was to estimate the potential risk of Bacillus cereus infection in preterm infants caused by the ingestion of contaminated pasteurized BHM using different postpasteurization release criteria (i.e., 9 sampling of 100 microliters versus the HMBANA guideline of 1 sampling of 100 microliters per pool). Methods. In the absence of scientific evidence regarding the risk of Bacillus cereus infection by the ingestion of BHM in premature infants, risk assessment using Monte Carlo simulation with the exponential doseresponse model was performed. Three scenarios of infectious risk (annual incidence rate of 0.01%, 0.13%, and 0.2%) with 18 variations of the B. cereus virulent dose (from 0.5 CFU/ml to 200 CFU/ml) were simulated. Results. The mean risk differential between the two methods of postpasteurization bacteriological control for realistic infectious doses of 30 to 200 CFU/ml ranges from 0.036 to 0.0054, 0.47 to 0.070, and 0.72 to 0.11 per million servings, for each of the three scenarios. Conclusion. Simulation highlights the very small risk of Bacillus cereus infection following the ingestion of pasteurized BHM, even in the worst case scenarios, and suggests that a 100microliter sample for postpasteurization culture is sufficient.
1. Introduction
Human milk is the preferred feeding for infants because of its known longterm benefits, such as an improvement of neurocognitive development [1–3], reduced risk for obesity [4], and protection of cardiovascular health outcomes [5]. There are some clinical settings in which human milk is particularly advantageous. This is the case of premature children who are at risk of necrotizing enterocolitis (NEC), a severe and sometimes fatal complication. Formulafed infants are reported to have 6 to 20 times the risk of experiencing NEC compared with breast milkfed infants [6]. Clearly, premature infants should be fed with their own mother’s milk, whenever possible. However, banked human milk (BHM) is the best alternative feeding for preterm infants when maternal milk is not available or is insufficient [7, 8]. One possible exception that has been raised by some is the risk of systemic infection by Bacillus cereus through BHM [9, 10].
Bacillus cereus is a motile sporeforming, Grampositive rod, aerobic, or facultative anaerobic bacteria, of the family Bacillaceae, that is ubiquitous worldwide in the environment (air, dust, and water) [11]. As a human pathogen, the organism is known for its role as a mediator of selflimited foodborne illness. However, Bacillus cereus is also known as a potential pathogen associated with severe local and systemic infections among immunosuppressed patients [12]. Cases in premature infants are quite rare, but neonatal sepsis related to Bacillus cereus is particularly severe and can lead to death [13–15]. Because sporulated form of this bacterium can resist the pasteurization process, which is the method used by most milk banks to safeguard against possible contamination, some researchers have raised the possibility that donated milk is a possible source of contamination [9, 13]. To our knowledge, the risk is purely theoretical since there has never been a single case of Bacillus cereus infection in a preterm infant proven to be caused by BHM ingestion.
Practices vary between milk banks concerning milk pool volume, postpasteurization routine bacterial assessment, bacteriological detection thresholds, and concentration standards for qualification [16]. Nevertheless, the large majority of North American milk banks assess postpasteurization bacteriological control based on the Human Milk Banking Association of North America (HMBANA) guideline (i.e., one sample of 100 microliters per pool) [17]. According to this guideline, any bacteriological growth is unacceptable after the milk has been pasteurized. In the province of Quebec, Canada (total population: 8 millions), human milk bank postpasteurization microbiological analyses of pooled milk are routinely made using 9 samples of 100 microliters per batch, which is nine times larger than that recommended by the HMBANA. The pasteurized milk is tested by inoculating 100 µl of the lot that was pasteurized on 9 blood agar plates. Plates used for the bacterial detection are incubated 48 hours at 35 ± 2°C. Based on the results of this bacteriological assessment, a batch showing the presence of Bacillus cereus, regardless of the bacterial load, does not qualify for distribution (Figure 1). Prepasteurization microbiological testing was done for B. cereus, S. aureus, enterobacteria and total count screening for women entering the program. Women having the presence of B. cereus or S. aureus or enterobacteria at more than 10,000 CFU/ml, or a total count of more than 100,000 CFU/ml have their milk rejected and are contacted by a nurse to identify and correct their hygiene deficiencies. Historically, between 25 and 35% of the milk batches produced by our milk bank have been disqualified because of microbial contamination; unsurprisingly, Bacillus cereus was the microorganism found in 80–90% of the batches that were disqualified. We therefore considered the possibility of aligning our practice with the HMBANA’s recommended 100 microliters of sample per batch. The question however was raised as to whether the risk of having a smaller sampling volume could reduce the sensitivity of our culture method to a point that it would lead to an unacceptable level of risk of B. cereus infection. Hence, the risk assessment is presented in this paper.
2. Materials and Methods
In the absence of scientific evidence regarding the risk of Bacillus cereus infection caused by the ingestion of BHM in premature infants, Monte Carlo stochastic simulation, reflecting variability and uncertainty of parameters, was used. Our risk evaluation followed the quantitative microbiological risk assessment (QMRA) method and therefore undertook consecutive steps, such as (1) hazard identification (described in the introduction section), (2) exposure assessment, (3) doseresponse model, and (4) risk characterization [18]. Statistical analyses were performed using SAS 9.4 software (SAS Institute Inc., Cary, NC, USA).
2.1. Exposure Assessment
The aim of the exposure assessment section was to estimate the contamination concentration of Bacillus cereus in pasteurized pooled milk accepted after bacteriological assessment and consumed by preterm infants. The model was based on modular process risk (MPR) methodology [19, 20], as this chain divides naturally into a series of modules (i.e., pathways) which can be described by component processes (contamination, mixing, control, and detection). Figure 1 describes the donor milk chain model at HémaQuébec.
The assumptions and inputs underlying our exposure assessment model were as follows:(1)Pooled Milk Volume. 40,000 milk donations were simulated to yield a total of 10,000 milk pools based on observed internal data, where (i) pooled milk volume production during the year 2017 at HémaQuébec was standardized, with a mean volume of 9,500 ml and SD 400 ml, and (ii) an average of 4 different milk donors are necessary to constitute one milk pool (given a mean milk volume per donation of 2,375 ml and SD 250 ml).(2)Pathogen Distribution. The total number of pathogens per pasteurized milk pool (T) simulated was based on the hypothesis that (i) the prevalence of some level of contamination in any milk donation is 100%, given the ubiquity of Bacillus cereus in the environment, and (ii) pasteurization () has no efficacy on reducing the concentration of Bacillus cereus contamination in a contaminated pool. Therefore, all simulated postpasteurized milk pools were considered contaminated, and the rejection rate did not depend on the presence or absence of Bacillus cereus but on the sensitivity of the bacteriological control used. Contamination concentration per donation was simulated using lognormal distribution of mean 4.2 CFU/ml and SD 213. This simulation was based on our observed internal data (unpublished) with bacteriological postpasteurization control using 9 samples of 100 microliters per pool: around 30% of pools with a mean Bacillus cereus concentration of 13 CFU/ml were detected and rejected. Moreover, this simulated concentration is consistent with the rejection rate reported in the literature where when using 1 sample of 100 microliters for postpasteurization bacteriological control: around 10% of pools with Bacillus cereus were detected and rejected [21]:where represents the total number of pathogens per pasteurized milk pool, corresponds to the number of donations contaminated with Bacillus cereus per milk pool, and is equal to the total number of contaminated donations. Because the prevalence of Bacillus cereus in milk donations was assumed to be 100%, all donations were assumed to be contaminated. and represent milk volume and B. cereus concentration per donation, respectively. The effect of pasteurization () was set to zero as explained earlier.(3)Contamination Detection and Pasteurized Milk Pool Rejection. Exposition of premature infants to Bacillus cereus depends on the probability of bacterial detection, given the sensitivity of the bacteriological control. Assuming that bacteria are randomly distributed in the pool, following a Poisson distribution, the probability of detection using 100 microliters was defined as follows:where corresponds to the total CFU simulated by pool, and corresponds to the volume of sampling per pool. Then, the number of rejected pools depending on the number of postpasteurization bacteriological sampling tests (k = 1 or 9) follows a binomial distribution:(4)Feedings. The distribution of donor milk bank serving per premature infant was determined using internal reports [22]. The mean serving size was then estimated to be 100 ml.
2.2. DoseResponse Model
Because of the lack of information regarding the relationship between the dose ingested and infection following the ingestion of banked milk contaminated by Bacillus cereus, a fullrisk assessment had to be modeled. The probability of infection resulting from the consumption of servings contaminated with Bacillus cereus (P) was based on an exponential doseresponse model because it allows inferring the doseeffect relationship based on certain epidemiological hypotheses:where represents the total number of B. cereus in the serving and is a constant specific to each pathogenic agent that expresses the probability of being infected by a single pathogenic microorganism present in the serving depending on the virulence of the bacteria [23–27]. In other words, the Rvalue is the probability of interaction between the host and the microorganism [28]. By rearranging equation (4), can be expressed as follows:
The constant was estimated using the approach described by Lindqvist and Westöö [25], in which the validity of the model depends on certain epidemiological assumptions. In the present study, because an exponential doseresponse model is a nonthreshold model and since the simulation assumes that all serving are contaminated, all premature infants fed with banked milk are considered at risk. The total number of preterm children exposed to BHM per year and the mean number of servings per infant were estimated using internal distribution reports: approximately 1000 children were fed with milk supplied by the HémaQuébec human milk bank, with a mean of 40 portions per year.
In the absence of evidence regarding the incidence of Bacillus cereus infection in preterm infants fed with banked milk and the potential infectious dose of B. cereus in pasteurized milk, we cannot use an independent estimate of the constant R; therefore, variation in parameters for the risk characterization was made.
2.3. Risk Characterization
Three scenarios were built to estimate the annual incidence of illness in preterm infants caused by the ingestion of B. cereuscontaminated banked milk. As previously mentioned, there is no evidence of a causal link between banked milk contamination and B. cereus infection in preterm infants; we therefore had to make some epidemiological assumptions for the various scenarios being considered. As a factual basis for these scenarios, we used data from the largest observed outbreak of Bacillus cereus infections in newborns in Quebec (unpublished). In 2013–2014 at one hospital in our service area, 7 preterm infants became infected. An investigation concluded that these infections were likely to have been due to airborne contamination that resulted from construction work near the neonatal unit of the hospital. However, for the purpose of the simulation, we postulated that all these infections had been acquired by uncultured contaminated human milk (a worstcase situation). It should be noted that only one of these seven infants had been exposed to banked human milk.
Moreover, to build the three scenarios, we considered the following denominator data: (1) the total number of births in Quebec during that year (n = 88,867), (2) the total number of births less than 2.5 kg in Quebec (n = 6,464), and (3) the total number of births at the hospital where the B. cereus infections occurred (n = 3,500). Depending on the denominator being taken, this resulted in annual estimated incidence rates of 0.01%, 0.13%, and 0.2% for scenarios 1, 2, and 3, respectively. For each scenario, in order to estimate the uncertainty of the constant R and because no information concerning the minimal infectious dose of Bacillus cereus in human milk is available, sensitivity analyses were performed. Eighteen variations of the infectious dose of Bacillus cereus in human milk were simulated, from 0.5 CFU/ml to 200 CFU/ml. Therefore, Rvalue ranged from 1.2E − 10 to 5.00E − 8, 1.62E − 9 to 6.50E − 7, and 2.50E − 9 to 1.00E − 7 for scenarios 1, 2, and 3, respectively (Table 1).
 
Annual incidence of infection of 0.01%, 0.13%, and 0.2% for scenarios 1, 2, and 3, respectively. ^{1}Dose in CFU/ml. 
3. Results
Ten thousand pools, each constituting of 4 mothers, were simulated with a mean volume of 9.5 liters of SD 0.4 and a mean Bacillus cereus contamination concentration of 4.05 CFU/ml, SD 103 and geometric mean of 0.16.
3.1. Detection and Rejection Probability
Following our simulation, using postpasteurization bacterial control sampling of 100 microliters per milk pool, 9,026 of the 10,000 simulated pools containing Bacillus cereus would not be detected and would be in the milk bank inventory for distribution. The average concentration of Bacillus cereus contamination in the pools qualified for distribution would be 0.64 CFU/ml. In addition, a rejection rate of 9.74% (974 pools) would be observed, with an average Bacillus cereus contamination concentration of 35.74 CFU/ml. This rejection rate is similar to those reported by human milk banks that use a postpasteurization sample of 100 microliters for culture [21, 29]. If postpasteurization bacterial control sampling consisted of nine sample of 100 microliters per milk pool, 6,996 pools with a mean Bacillus cereus concentration of 0.21 would not be detected and would be qualified for distribution. 3,004 pools would have been detected with an average Bacillus cereus concentration of 13.01 CFU/ml and a rejection rate of 30% (Table 2). This simulated rejection rate and the concentration in the rejected pool are consistent with those of our internal observations.

In summary, concentration of Bacillus cereus in pools put into the inventory would be higher by 0.43 CFU/ml average when detected using one sample of 100 microliters versus 9 samples of 100 microliters. Moreover, the rejected milk volume difference would be 19,312 liters, corresponding to 20.3% of the total volume simulated.
3.2. Residual Risk Differential
Figure 2 represents the mean risk differential per million between the two methods of postpasteurization bacterial control (i.e., 1 sample versus 9 samples of 100 microliters) by scenario and infectious dose. This figure shows that for the vast majority of scenarios, even among the most pessimistic, the mean risk differential associated with sampling of 1 test rather than 9 tests of 100 microliters is well below the threshold of 1: 1 million additional infections per serving. It is only when we suppose that the minimal infectious dose is 20 CFU/ml or less that we observe a risk difference greater than 1: 1 million.
Table 3 presents detailed data concerning the residual risk scenarios comparing a 100microliter sample to a 900microliter sample for postpasteurization culture when varying the infectious dose per serving. The mean risk differential for scenario 1 ranges from 2.15 to 0.00539 per million for virulent dose of 0.5 to 200 CFU/ml. For scenarios 2 and 3, the mean risk differential ranges from 27.8 to 0.070 per million and from 42.8 to 0.108, respectively.
 
Simulation scenario was made after postpasteurized microbiological control using detection of 100 microliters vs 9 × 100 microliters per pool and for an annual incidence of infection of 0.01%, 0.13%, and 0.2% corresponding to scenarios 1, 2, and 3, respectively. ^{1}Infectious concentration in CFU/ml. 
4. Discussion
Proven invasive infections due to Bacillus cereus have been reported among immunosuppressed patients, particularly preterm neonates, but given the scarcity of cases, the pathophysiology of these infections is not well known. Moreover, assessment of the origin of contamination due to organisms such as B. cereus that are widely disseminated in the environment is often difficult and may not yield an obvious source [11]. Nonetheless, in outbreak investigations, contamination through respiratory route was often documented [11, 15]. Several studies have also assessed the putative role of human milk in B. cereus infection in premature infants; however, clinical strains of B. cereus never matched the strains found in milk, and therefore, the tracking of the origin of B. cereus to contaminated bank milk was, to date, never demonstrated [6, 9].
Our analysis cannot make any statement regarding the actual risk of Bacillus cereus infection resulting from the ingestion of contaminated banked human milk. Even if the risk is real, which remains unproven yet, it is likely to be extremely small, based on the various scenarios that we explored in this simulation. The question of whether there is a real threat posed by Bacillus cereus to the safety of banked human milk therefore remains unresolved.
What our simulation shows is that, even in very pessimistic scenarios regarding a causal link between banked milk and B. cereus infection, a more stringent culturesampling strategy makes very little difference in the risk incurred by exposed infants. At the same time, because of the ubiquitous nature of this bacterium, increasing the sampling volume and thus the sensitivity of the culture method can lead to much higher rates of product disqualification. More specifically, our analysis shows that the risk difference per serving associated with a sampling of 1 instead of 9 tests of 100 microliters is well below 1: 1 million infections, a risk that can be considered negligible. In all scenarios, it is only when the minimal infectious dose was 20 CFU/ml or less for a 100 ml serving that the risk differential was greater than 1 infection/1 million portions; such minimal infectious doses are clearly unrealistic for Bacillus cereus. Also, average concentrations of Bacillus cereus found in the qualified milk batches would only be slightly increased, from 0.21 to 0.64 CFU/ml, which remains well below the standards applied to formula milk (i.e., 50 CFU/g in Europe and 100 CFU/g in the USA, Australia, and New Zealand) [30–32]. By comparison, the literature on human and animal exposure by inhalation to different doses of spores of Bacillus anthracis reports a minimal infectious dose of at least 600 CFU [33, 34]. If we assume the same minimal infectious dose of 600 CFU per serving for B. cereus in BHM, this would still be ten times higher than the average B. cereus concentration remaining in the qualified milk pools. Furthermore, because of the much lower potential for the pathogenicity of Bacillus cereus compared with B. anthracis [33, 34], this hypothesis is extremely aggressive. Finally, the gain in supply resulting from a lessstringent culture method, and its potential impact on product availability for the prevention of necrotizing enterocolitis, largely exceeds the very low theoretical differential risk as calculated by these models [32, 35, 36]. In our operational setting, changing the sampling volume from 900 to 100 microliters is expected to decrease the rate of disqualified, culturepositive pools from 30 to 10 percent. This will represent a major improvement in our capacity to meet the demand for premature infants.
To our knowledge, this is the very first study, using Monte Carlo simulation, which estimates the potential risk of Bacillus cereus infection in preterm infants fed with banked human milk. The major limitation of our study is that we had to estimate many of the parameters used in the absence of empirical data concerning their value. Also, the simulation was based on the premise that any bacterial load in the milk pool is homogeneously distributed, which is probably the case in the vast majority of pools in our experience. However, the possibility of this load being distributed unevenly due to an inadequate milk mixing process in rare instances cannot be ruled out.
5. Conclusion
Our simulation results suggest that, if it exists at all, the risk of Bacillus cereus infection following the ingestion of pasteurized banked milk is extremely small. Our analysis also shows that even in worstcase scenarios, a 100microliter sample for postpasteurization culture is amply sufficient to mitigate this risk; a larger sampling volume would only lead to a higher rate of disqualification for this important healthcare resource, without having any significant positive impact on safety.
Nevertheless, despite no specific mention about Bacillus cereus contamination in the majority of the guidelines, this simulation highlights the importance of the combined use of pasteurization and bacteriological investigation before human milk distribution for extremely preterm babies. In addition, future studies investigating the association between Bacillus cereus concentration and infection of premature infants are needed.
Data Availability
The simulation code and the data used to support the findings of this study are available from the corresponding author upon request.
Conflicts of Interest
The authors declare that they have no conflicts of interest.
References
 J.A. B. Bier, T. Oliver, A. E. Ferguson, and B. R. Vohr, “Human milk improves cognitive and motor development of premature infants during infancy,” Journal of Human Lactation, vol. 18, no. 4, pp. 361–367, 2016. View at: Publisher Site  Google Scholar
 D. L. O'Connor, J. Jacobs, R. Hall et al., “Growth and development of premature infants fed predominantly human milk, predominantly premature infant formula, or a combination of human milk and premature formula,” Journal of Pediatric Gastroenterology and Nutrition, vol. 37, no. 4, pp. 437–446, 2003. View at: Publisher Site  Google Scholar
 B. R. Vohr, B. B. Poindexter, A. M. Dusick et al., “Beneficial effects of breast milk in the neonatal intensive care unit on the developmental outcome of extremely low birth weight infants at 18 months of age,” Pediatrics, vol. 118, no. 1, pp. e115–e123, 2006. View at: Publisher Site  Google Scholar
 J. Mahon, L. Claxton, and H. Wood, “Modelling the costeffectiveness of human milk and breastfeeding in preterm infants in the United Kingdom,” Health Economics Review, vol. 6, no. 1, 2016. View at: Publisher Site  Google Scholar
 A. Singhal, T. J. Cole, M. Fewtrell, and A. Lucas, “Breastmilk feeding and lipoprotein profile in adolescents born preterm: followup of a prospective randomised study,” The Lancet, vol. 363, no. 9421, pp. 1571–1578, 2004. View at: Publisher Site  Google Scholar
 A. M. Wendelboe, C. Smelser, C. A. Lucero, and L. C. McDonald, “Cluster of necrotizing enterocolitis in a neonatal intensive care unit: New Mexico, 2007,” American Journal of Infection Control, vol. 38, no. 2, pp. 144–148, 2010. View at: Publisher Site  Google Scholar
 S. Arslanoglu, G. E. Moro, and E. E. Ziegler, “The Wapm Working Group on N. Optimization of human milk fortification for preterm infants: new concepts and recommendations,” Journal of Perinatal Medicine, vol. 38, no. 3, pp. 233–238, 2010. View at: Publisher Site  Google Scholar
 L. M. Gartner, J. Morton, R. A. Lawrence et al., “Breastfeeding and the use of human milk,” Pediatrics, vol. 115, no. 2, pp. 496–506, 2005. View at: Publisher Site  Google Scholar
 J.W. Decousser, N. Ramarao, C. Duport et al., “Bacillus cereus and severe intestinal infections in preterm neonates: putative role of pooled breast milk,” American Journal of Infection Control, vol. 41, no. 10, pp. 918–921, 2013. View at: Publisher Site  Google Scholar
 S. Landers and K. Updegrove, “Bacteriological screening of donor human milk before and after Holder pasteurization,” Breastfeeding Medicine, vol. 5, no. 3, pp. 117–121, 2010. View at: Publisher Site  Google Scholar
 N. J. Hilliard, R. L. Schelonka, and K. B. Waites, “Bacillus cereus bacteremia in a preterm neonate,” Journal of Clinical Microbiology, vol. 41, no. 7, pp. 3441–3444, 2003. View at: Publisher Site  Google Scholar
 E. J. Bottone, “Bacillus cereus, a volatile human pathogen,” Clinical Microbiology Reviews, vol. 23, no. 2, pp. 382–398, 2010. View at: Publisher Site  Google Scholar
 R. Lotte, A.L. Hérissé, Y. Berrouane et al., “Virulence analysis of Bacillus cereus isolated after death of preterm neonates, nice, France, 2013,” Emerging Infectious Diseases, vol. 23, no. 5, pp. 845–848, 2017. View at: Publisher Site  Google Scholar
 N. Ramarao, L. Belotti, S. Deboscker et al., “Two unrelated episodes of Bacillus cereus bacteremia in a neonatal intensive care unit,” American Journal of Infection Control, vol. 42, no. 6, pp. 694695, 2014. View at: Publisher Site  Google Scholar
 W. C. Van Der Zwet, G. A. Parlevliet, P. H. Savelkoul et al., “Outbreak of Bacillus cereus infections in a neonatal intensive care unit traced to balloons used in manual ventilation,” Journal of Clinical Microbiology, vol. 38, no. 11, pp. 4131–4136, 2000. View at: Google Scholar
 Y. Almutawif, B. Hartmann, M. Lloyd, W. Erber, and D. Geddes, “A retrospective audit of bacterial culture results of donated human milk in Perth, Western Australia,” Early Human Development, vol. 105, pp. 1–6, 2017. View at: Publisher Site  Google Scholar
 Centre for Clinical Practice at NICE (UK), Donor Breast Milk Banks: The Operation of Donor Milk Bank Services, National Institute for Health and Clinical Excellence (UK), London, UK, 2010, 2012/02/10 ed.
 C. Haas, J. Rose, and C. Gerba, Quantitative Microbial Risk Assessment, John Wiley & Sons, Hoboken, NJ, USA, 2nd edition, 2014.
 M. J. Nauta, A Modular Process Risk Model Structure for Quantitative Microbiological Risk Assessment and Its Application in an Exposure Assessment of Bacillus cereus in a REPFED, National Institute of Public Health and the Environment, Amsterdam, Netherlands, 2001, Contract No.: 149106 007.
 M. Nauta, “Microbiological risk assessment models for partitioning and mixing during food handling,” International Journal of Food Microbiology, vol. 100, no. 1–3, pp. 311–322, 2005. View at: Publisher Site  Google Scholar
 C. Dewitte, P. Courdent, C. Charlet, D. Dumoulin, R. Courcol, and V. Pierrat, “Contamination du lait maternel par une flore aérobie : évaluation des pertes pour un lactarium,” Archives de Pédiatrie, vol. 22, no. 5, pp. 461–467, 2015. View at: Publisher Site  Google Scholar
 HémaQuébec, Guide d’information sur le don de lait maternel, Banque publique de lait maternel, HémaQuébec, Montréal, Canada, 2014.
 C. N. Haas, “Estimation of risk due to low doses of microorganisms: a comparison of alternative methodologies,” American Journal of Epidemiology, vol. 118, no. 4, pp. 573–582, 1983. View at: Publisher Site  Google Scholar
 C. N. Haas, “Microbial dose response modeling: past, present, and future,” Environmental Science and Technology, vol. 49, no. 3, pp. 1245–1259, 2015. View at: Publisher Site  Google Scholar
 R. Lindqvist and A. Westöö, “Quantitative risk assessment for Listeria monocytogenes in smoked or gravad salmon and rainbow trout in Sweden,” International Journal of Food Microbiology, vol. 58, no. 3, pp. 181–196, 2000. View at: Publisher Site  Google Scholar
 D. Vose, Risk Analysis: A Quantitative Guide, John Wiley & Sons, New York, NY, USA, 3rd edition, 2008.
 P. Acai, L. Valik, and D. Liptakova, “Quantitative risk assessment of Bacillus cereus in pasteurised milk produced in the Slovak Republic,” Czech Journal of Food Sciences, vol. 32, no. 2, pp. 122–131, 2014. View at: Publisher Site  Google Scholar
 S. Regli, J. B. Rose, C. N. Haas, and C. P. Gerba, “Modeling the risk from Giardia and viruses in drinking water,” Journal  American Water Works Association, vol. 83, no. 11, pp. 76–84, 1991. View at: Publisher Site  Google Scholar
 C. Dewitte, P. Courdent, C. Charlet, D. Dumoulin, R. Courcol, and V. Pierrat, “Contamination of human milk with aerobic flora: evaluation of losses for a human milk bank,” Archives de Pédiatrie, 22, 22, pp. 461–467, 2015, in French. View at: Publisher Site  Google Scholar
 US Food and Drug Administration, Food Composition, Standards, Labeling And Economics: Compliance Program Guidance Manual; Chapter 21–Food Composition, Standards, Labeling and Economics, US Food and Drug Administration, Silver Spring, MD, USA, 2006, https://www.fda.gov/downloads/Food/ComplianceEnforcement/UCM073339.pdf.
 FSANZ, Bacillus cereus Limits in Infant Formula, FSANZ, Canberra, BC, Autralia, 2004, https://www.foodstandards.gov.au/code/applications/documents/A454_B_cereus_FAR.pdf.
 Commission of the European Communities, Commission Regulation (EC) no 1441/2007: Amending Regulation (EC) No 2073/2005 on Microbiological Criteria for Foodstuffs, Commission of the European Communities, Luxembourg, 2007.
 M. L. Cohen and T. Whalen, “Implications of low level human exposure to respirable B. Anthracis,” Applied Biosafety, vol. 12, no. 2, pp. 109–115, 2016. View at: Publisher Site  Google Scholar
 M. E. Coleman, B. Thran, S. S. Morse, M. HughJones, and S. Massulik, “Inhalation anthrax: dose response and risk analysis,” Biosecurity and Bioterrorism: Biodefense Strategy, Practice, and Science, vol. 6, no. 2, pp. 147–160, 2008. View at: Publisher Site  Google Scholar
 R. J. Schanler, R. J. Shulman, and C. Lau, “Feeding strategies for premature infants: beneficial outcomes of feeding fortified human milk versus preterm formula,” Pediatrics, vol. 103, no. 6, pp. 1150–1157, 1999. View at: Publisher Site  Google Scholar
 P. M. Sisk, C. A. Lovelady, R. G. Dillard, K. J. Gruber, and T. M. O'Shea, “Early human milk feeding is associated with a lower risk of necrotizing enterocolitis in very low birth weight infants,” Journal of Perinatology, vol. 27, no. 7, pp. 428–433, 2007. View at: Publisher Site  Google Scholar
Copyright
Copyright © 2019 Antoine Lewin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.