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Applied and Environmental Microbiology, January 2006, p. 261-268, Vol. 72, No. 1
0099-2240/06/$08.00+0 doi:10.1128/AEM.72.1.261-268.2006
Copyright © 2006, American Society for Microbiology. All Rights Reserved.
Modeling and Predicting the Simultaneous Growth of Escherichia coli O157:H7 and Ground Beef Background Microflora for Various Enrichment Protocols
A. Vimont,1*
C. Vernozy-Rozand,1
M. P. Montet,1
C. Lazizzera,2
C. Bavai,1 and
M.-L. Delignette-Muller1
Unité de Microbiologie Alimentaire et Prévisionnelle, Ecole Nationale Vétérinaire de Lyon, 1 avenue Bourgelat, 69280 Marcy l'Etoile, France,1
Unité de Bactériologie Bovine et Sécurité des Viandes, Afssa de Lyon, 31 avenue Tony Garnier, 69364 Lyon, France2
Received 13 May 2005/
Accepted 25 September 2005

ABSTRACT
The simultaneous growth of
Escherichia coli O157:H7 (O157) and
the ground beef background microflora (BM) was described in
order to characterize the effects of enrichment factors on the
growth of these organisms. The different enrichment factors
studied were basal medium (Trypticase soy broth and
E. coli broth), the presence of novobiocin in the broth, and the incubation
temperature (37°C or 40°C). BM and O157 kinetics were
simultaneously fitted by using a competitive growth model. The
simple competition between the two microfloras implied that
O157 growth stopped as soon as the maximal bacterial density
in the BM was reached. The present study shows that the enrichment
protocol factors had little impact on the simultaneous growth
of BM and O157. The selective factors (i.e., bile salts and
novobiocin) and the higher incubation temperature (40°C)
did not inhibit BM growth, and incubation at 40°C only slightly
improved O157 growth. The results also emphasize that when the
level of O157 contamination in ground beef is low, the 6-h enrichment
step recommended in the immunomagnetic separation protocol (ISO
EN 16654) is not sufficient to detect O157 by screening methods.
In this case, prior enrichment for approximately 10 h appears
to be the optimal duration for enrichment. However, more experiments
must be carried out with ground beef packaged in different ways
in order to confirm the results obtained in the present study
for non-vacuum- and non-modified-atmosphere-packed ground beef.

INTRODUCTION
Escherichia coli O157:H7 and other virulent Shiga toxin-producing
E. coli serotypes, such as O26, O55, O91, O103, O111, O128,
and O145, are an emerging cause of food-borne illness and have
become a public health priority (
13). In human infections, O157
and the other serotypes mentioned above may cause bloody diarrhea
and, more precisely, may lead to hemolytic-uremic syndrome and
to thrombotic and thrombocytopenic purpura in children and adults,
respectively (
33,
57). Illness is often linked to the consumption
of contaminated or undercooked ground beef (
6,
14,
15,
45,
46,
47,
49,
50,
51,
54). For instance, in Scotland 512 persons were
infected by
E. coli O157:H7 after consumption of beef, and 34
cases of hemolytic-uremic syndrome and 17 deaths were reported
(
18). Moreover, in samples of food responsible for diseases,
the levels of contamination with
E. coli O157:H7 are sometimes
very low. For instance, a level of 4 CFU in 25 g of food caused
a food-borne disease in a Japanese school in 1996 (
53). Thus,
very sensitive detection methods are required.
Different methods of screening for E. coli O157:H7 are now available, including genetic methods like PCR (9, 36, 38) and immunological methods like immunomagnetic separation (IMS) and enzyme-linked immunosorbent assays (7, 16, 37). These methods require an enrichment step to improve their limits of detection (8, 25, 39, 58). Cui et al. (20) reported that the PCR detection limit decreases from 3 log10 CFU g1 with no prior enrichment to 0 log10 CFU g1 with a 6-h enrichment step at 37°C. For IMS combined with a detection method (IMS-DM), the detection limit decreases from 4 log10 CFU g1 with no prior enrichment to 1 log10 CFU g1 with a 6-h enrichment step at 37°C (28).
Several enrichment protocols are currently used for growth of E. coli O157:H7, and they are characterized by different factors. The main enrichment protocol factors are the enrichment broth (basal medium), the addition of antibiotics, the temperature, and the length of the enrichment period. In previous studies, Trypticase soy broth (TSB) and E. coli broth (EC) have frequently been used as basal media, often with one antibiotic added (novobiocin in most studies) (1, 20, 22, 24, 41, 58). For incubation, the enrichment broth is most often incubated at 37°C for 16 to 24 h (1, 22). Nevertheless, some authors have reported an optimal growth temperature for E. coli O157:H7 of around 40°C (31, 44), and in recent studies workers have also used this temperature for incubation of enrichment cultures (1, 2, 32). However, there have been few studies in which the workers tried to compare the efficacies of different enrichment protocols, and the few results obtained have been different in different studies (21, 39, 42, 58).
Furthermore, the enrichment step may be difficult to control because of the presence of background microflora (BM), which may influence the growth of E. coli O157:H7. Some authors have described antagonistic activity of background microflora against E. coli O157:H7 (23, 52, 55, 60). It must be emphasized that in order to optimize the enrichment conditions, it is essential to understand the interaction between the two floras during simultaneous growth. However, so far there has been little information concerning this.
The aim of the present study was to investigate the effects of different enrichment factors on simultaneous growth of the background microflora and E. coli O157:H7 in ground beef. The different factors studied were the basal medium (TSB and EC), the presence of novobiocin in broth (N+ or N), and the incubation temperature (37°C and 40°C). In order to visualize the potential effects of factors and thus to optimize the enrichment step, growth follow-up and modeling of the simultaneous growth of the background microflora and E. coli O157:H7 were carried out.

MATERIALS AND METHODS
Inoculum preparation.
All four strains used in the present study were stored at 80°C
in a glycerol-containing medium. Table
1 shows the sources of
these strains. Prior to challenge testing each strain was grown
in brain heart infusion (Oxoid, Basingstoke, Hampshire, United
Kingdom) at 37°C in order to obtain late-exponential-phase
cultures. After 24 h, all the cultures had reached a density
of 10
8 CFU ml
1, and these precultures were used for inoculation
of ground beef samples.
Microbiological culture media.
In different stages of the study, various microbiological culture
media were used. Tryptone medium (Fluka-Biochemika, Switzerland)
was used for preparation of serial dilutions throughout the
experiments. TSB (Biomérieux, Marcy-l'Etoile, France)
and EC (Fluka-Biochemika, Switzerland) were tested with novobiocin
(TSB.N+ and EC.N+) (at a concentration of 20 mg liter
1;
Sigma, Steinheim, Germany) or without novobiocin (TSB.N
and EC.N) in the enrichment protocol study. Finally,
plate count agar (PCA) (Biomérieux, Marcy-l'Etoile, France)
and sorbitol MacConkey agar (Biokar, Beauvais, France) supplemented
with a cefixime-tellurite mixture (CT-SMAC) (Biomérieux,
Marcy-l'Etoile, France) were used as a nonselective medium for
enumeration of the ground beef background microflora and as
a selective medium for enumeration and isolation of
E. coli O157:H7 (O157) during the enrichment step, respectively.
Ground beef sample inoculation.
Four packages containing two 125-g portions of ground beef (15% fat, non-vacuum- and non-modified-atmosphere-packed packages) were purchased, two from each of two supermarkets in the suburbs of Lyon (France). All eight 125-g portions of ground beef were mixed together, and 25-g portions of meat were aseptically weighed into 32 flasks and stored at 4°C for less than 24 h before the experiments. The precultures of the four E. coli O157:H7 strains were serially diluted in order to obtain a final concentration of 3 log10 CFU ml1 in fresh tryptone medium, and then each portion was individually inoculated (1 ml) into a series of eight different flasks containing the 25-g portions of ground beef. After manual homogenization, the 32 flasks (8 flasks for each strain) were stored overnight at 4°C. Next, the contents of each of the 32 flasks were transferred into a stomacher bag to which 225 ml of TSB.N, TSB.N+, EC.N, or EC.N+ was added according to the growth enrichment protocol (Table 2). Hence, the final concentration was roughly 4 CFU of O157 per ml in each stomacher bag.
Enrichment protocols.
Growth experiments were carried out with the four O157 strains
in the presence of BM for different enrichment protocols, which
were the result of the combination of two temperatures (37 or
40°C), two basal media (TSB and EC), and the presence or
absence of novobiocin (N+ and N) (Table
2). To do this,
the 32 samples obtained at the end of the ground beef sample
inoculation were stomached for 1 min and left at the ambient
temperature for a regeneration step for 40 min.
Growth monitoring.
At each sampling time (every 2 h for each enrichment protocol), the numbers of viable cells of BM and O157 were determined by plating 1-ml portions of appropriate dilutions of samples onto PCA and 0.1-ml portions onto CT-SMAC, respectively. After incubation, the colonies on PCA and CT-SMAC plates were counted in order to obtain BM and O157 growth data for each enrichment protocol.
Growth modeling. (i) Modeling of individual BM and O157 growth kinetics.
Two growth models were used to separately fit individually observed BM and O157 growth kinetics for the eight protocols tested. The first model, which has three parameters, is a very simple model with two phases (5, 43) (model 1). It describes only the exponential and stationary phases and does not take into account any lag phase:
 | (1) |
where
y(
t) is the bacterial density (in log
10 CFU ml
1) at time
t (in h),
y0 is the initial bacterial density (in log
10 CFU
ml
1), µ
max is the maximum specific growth rate
(in h
1), and
tmax is the time at which the stationary
phase begins (i.e., the time at which the maximum bacterial
density is reached).
The second model, which has four parameters, incorporates a third phase, the lag phase (
) (in h) (model 2). It has been given different names by various authors (11, 43). Curves described by this model have an abrupt transition (breakpoint) between the lag and exponential phases:
 | (2) |
(ii) Global modeling of simultaneous growth of BM and O157.
A global model for the simultaneous growth of BM and O157 is defined simply by using model 2 for each flora (model 3). It is defined by eight parameters (y0O157,
O157, µmaxO157, tmaxO157, y0BM,
BM, µmaxBM, and tmaxBM), which may be equivalently estimated by two individual fittings of model 2 with BM and O157 growth kinetics or by global fitting of model 3. A partial model nested in model 3 is also defined in the same way, but a common value for tmax is assumed for the two floras (model 4). The last model thus has only seven parameters (y0O157,
O157, µmaxO157, y0BM,
BM, µmaxBM, and tmax) and is based on the hypothesis that there is competition between the two floras studied. More precisely, in model 4 the growth of each microflora is assumed to stop as soon as one microflora reaches its maximum density in the enrichment basal medium. This phenomenon has been described previously and is commonly called the Jameson effect (10, 12, 17, 30, 40, 48).
Statistical methods.
Fitting of models to the BM and O157 data was performed by nonlinear regression (4) by using the least-squares criterion. Estimates for parameters were obtained by minimizing the residual sum of squares (RSS):
 | (3) |
where
N is the number of data points,
yi is the observed data
value, and
i is the fitted value. Nonlinear regression was computed
with the NonlinearLeastSquares function of R-Software (
35).
The precision of each parameter estimate was also reported in
terms of asymptotic marginal confidence intervals. Comparisons
of nested models (model 2 nested in model 1 and model 4 nested
in model 3) were performed using an
F test (
4):
 | (4) |
where
N is the size of the data
set,
pf is the number of parameters of the full model,
pp is
the number of parameters of the partial model,
RSSf is the residual
sum of squares of the full model fit, and
RSSp is the residual
sum of squares of the partial model fit. The observed
F value
(
Fobs) must be compared with a theoretical
F value with
v1 =
pf
pp,
v2 =
N
pf, and degrees of freedom.
An analysis of variance was carried out in order to compare the maximum levels of O157 reached at the end of the different enrichment protocols. To do this, the maximum level (ymax) was calculated for each of the four strains tested and each protocol by determining the average of the bacterial counts measured after 12 h. A mixed analysis of variance model was considered, in which the basal medium, the addition of antibiotic (novobiocin), and the temperature were fixed factors and the strain was a random factor. The level of significance for each factor and each interaction was P < 0.05.

RESULTS
Individual fits of BM and O157 growth kinetics.
For each enrichment protocol studied, almost the same growth
kinetics were obtained for all strains, which were characterized
by three phases, a short lag phase followed by an exponential
phase and a stationary phase (Fig.
1). For each enrichment protocol,
model 2 was thus globally fitted to data obtained for the four
strains. The use of a nonnull lag phase was justified by the
fact that model 2 fits the growth data significantly better
than model 1 (
P < 0.05, as determined by an
F test) in all
the cases except one protocol (
P = 0.12 for protocol TSB.N+.37,
as determined by an
F test).
Global fits of simultaneous growth of BM and O157.
Figure
1 shows that for each of the eight protocols studied,
the parameters
tmaxO157 and
tmaxBM seemed to be very similar.
Hence, BM and O157 data were globally fitted by using model
4 with a common
tmax for the two microfloras. No significant
difference was found between model 3 (full model) and model
4 (partial model) in terms of the
RSS for any of the protocols
(
P > 0.05, as determined by an
F test). Figure
1 shows that
growth data are well described by model 4, indicating that O157
growth stopped as soon as BM growth reached the maximal level.
Moreover, it is worth noting that the maximal level of BM growth
was almost constant from one protocol to another (8.62 to 8.86
log
10 CFU ml
1). The maximal levels for O157 varied from
7.28 to 8.12 log
10 CFU ml
1 according to the protocol
tested. It is worth noting that at this stage of growth, the
difference between the two floras was between 0.6 and 1.5 log
10 CFU ml
1 depending on the protocol considered; consequently,
the O157 counts were always in the minority compared with the
background microflora counted, with relative ratios from 4 to
30.
Impact of enrichment factors on BM and O157 growth parameters.
As shown in Fig. 2a and b, the initial level of O157 (y0O157) was not greatly influenced by the enrichment protocol tested, whereas the initial level of BM (y0BM) appeared to decrease when EC was used. Indeed, a decrease of roughly 1 log10 was observed for the protocols with EC compared to those with TSB. Figures 2c and d show that the different protocols had little impact on the O157 lag time (
O157), while the BM lag time (
BM) seemed to increase when novobiocin was added to the basal medium, especially for protocols with TSB. Addition of novobiocin to the basal medium had little effect on the O157 and BM maximum specific growth rates (µmaxO157 and µmaxBM) (Fig. 2e and f). Nevertheless, when no antibiotic was added, lower values of µmaxBM were observed for protocols with TSB than for protocols with EC. The maximum specific growth rates of both microfloras were influenced by the temperature, and on the whole, 40°C resulted in higher µmax values. Although the tmax values were lower for TSB.N protocols than for the other protocols, this parameter was almost constant regardless of the protocol, varying between 10.0 and 11.7 h (Fig. 2g).
Impact of enrichment factors on the maximum O157 level.
Only two main effects appeared to be significant in the analysis
of variance: the temperature (
P < 0.01) and the strain (
P < 0.05). However, two first-order interactions involving
these two factors also had significant effects on the maximal
O157 level: the interaction between the addition of novobiocin
and the strain (
P < 0.05) and the interaction between the
basal medium and the temperature (
P < 0.05).
As shown in Fig. 3, there was variability between the four strains of O157, but none of the four strains grew better in all the protocols. The final O157 levels were generally higher at 40°C than at 37°C, but this was not always the case for every strain and it was not generally the case for the EC.N protocols. When the antibiotic effect was considered, the addition of novobiocin seemed to increase the variability among strains. On the whole, the differences between the various protocols were small compared to the variability between strains. Indeed, regardless of the protocol and the strain considered, the maximal level of O157 was between 6.5 and 8.5 log10 CFU ml1.

DISCUSSION
Our results indicate that there is a simple competitive interaction
between
E. coli O157:H7 and the prevailing background microflora
during the enrichment step for ground beef. In fact, O157 growth
stopped as soon as the level of BM reached the maximal value,
which was almost constant regardless of the enrichment protocol
considered. Our model was limited because it did not address
other types of interactions which may take place during enrichment,
but it seemed to be sufficient to describe the simultaneous
growth of the two floras based on the observed data.
The present study showed that the enrichment protocol factors had little impact on the simultaneous growth of BM and O157. Indeed, the selective factors (i.e., EC and novobiocin) had only slight effects at the beginning of BM growth (on y0BM and
BM) but did not inhibit BM growth. The higher incubation temperature (40°C) slightly improved O157 growth, but like the other selective factors, did not reduce BM growth. The observed values for the O157 maximum specific growth rate, between 1.51 and 1.86 h1, were not very variable according to the protocol tested and were close to values reported previously for growth of E. coli O157:H7 in ground beef without any enrichment protocol. Tamplin et al. (56) reported µmaxO157 values of 2.45 and 1.79 h1 at 40°C and 35°C, respectively, in sterile irradiated ground beef samples, and Walls and Scott (61) reported a µmaxO157 of 1.89 h1 at 35°C in a raw ground beef sample. A comparison between these previously reported results and our results emphasized that the enrichment protocol factors, especially the selective factors, had little effect on the simultaneous growth of BM and O157. Nevertheless, other conclusions might be drawn for untested conditions, such as vacuum-packed ground beef, in which the interaction between BM and O157 might be different because of a qualitatively different background microflora (60).
The optimal length of incubation could be determined from the tmax, because of the relative stability of the maximal level of target bacteria after tmax. Our results (Fig. 2g) show that the tmax values ranged from 10.02 to 11.7 h, depending on the protocol considered. Thus, an incubation time of around 12 h could be recommended based on these results. Nevertheless, it is worth noting that tmax is dependent on the initial BM level, which may vary from one ground beef sample to another. Hence, if the initial level of BM is higher than that in our experiment, the tmax will be lower. For example, the parameters of model 4 obtained for the TSB.N.37 protocol allowed prediction of a tmax of 8 h if y0BM was fixed around the higher BM level observed in French food industries (5 log10 CFU ml1) instead of the 4 log10 CFU ml1 in our study. On the contrary, if y0BM is fixed around the lowest level observed in French food industries (2 log10 CFU ml1), model 4 with the same enrichment protocol predicts a tmax of around 14 h. The optimal length of incubation may also depend on other ground beef characteristics (the kind of packaging, the physiological state of the BM, and the O157 flora).
For the final level of O157 (y0O157), no marked differences between the enrichment protocols tested were observed (Fig. 3). It is worth noting that the final level obtained at the end of the enrichment step must be higher than the detection threshold of the screening method used for detection. Immunological methods (enzyme-linked immunosorbent assay, radioimmunoassay, immunochromatography, etc.), often followed by isolation of the target bacteria if there are positive results, are the main methods used for detection of E. coli O157:H7. Currently, the international reference method for isolation of E. coli O157:H7 is the IMS method (ISO EN 16654). The IMS protocol consists of a 6-h enrichment step at 42°C, followed by an immunoconcentration step (using immunomagnetic beads coated with anti-O157 antibody) and finally by a detection step (using plating medium [i.e., sorbitol MacConkey agar]). With no prior enrichment step at least 3.5 to 4.4 log10 CFU of E. coli O157:H7 g1 of sample is required for detection of the bacteria after immunomagnetic separation combined with detection methods (26, 27, 28). Genetic methods, like PCR, are also used, but to a lesser extent. The PCR detection threshold with no prior enrichment step that has been reported previously is 3 log10 CFU g1 (20, 63).
Figure 3 shows that all the protocols tested allowed, after 24 h, O157 to reach levels higher than PCR and IMS-DM detection thresholds. However, for the enrichment protocols with novobiocin and incubation at 37°C, the ymaxO157 values obtained after 6 h of incubation scarcely reached the IMS-DM detection threshold. Nevertheless, in the IMS method (ISO EN 16654), incubation for 6 h is recommended for isolation of E. coli O157:H7.
Moreover, it must be emphasized that ymaxO157 obviously depends on the initial O157 level in ground beef (y0O157). The initial O157 inoculum (0.6 log10 CFU ml1) was relatively large in our study because of experimental limits. However, Crowley et al. (19) reported sporadic counts of E. coli O157:H7 in ground beef products, and the average count was 0.91 log10 CFU g1. By taking into account the 10-fold dilution carried out at the beginning of the enrichment protocol (i.e., 25 g of sample transferred into 225 ml of basal medium), the concentration corresponded to a y0O157 value of around 0.09 log10 CFU ml1. Predictions made by model 4 with this realistic value for y0O157 gave final O157 levels ranging from 6.3 to 7.7 log10 CFU ml1 for the eight protocols tested. When the levels of O157 obtained after 6 h of enrichment were determined, the predicted values varied between 2.9 and 3.7 log10 CFU ml1. In this case, based on data close to reality, the PCR detection threshold would thus be reached regardless of the protocol and the length of enrichment, whereas for all protocols the IMS-DM threshold of detection would be not reached after the recommended incubation period (6 h).
Moreover, other data have been reported, and Shinagawa (53) found that a level of 4 CFU in 25 g of food caused a food-borne disease in a Japanese school in 1996. When the 10-fold dilution carried out at the beginning of the enrichment protocol was taken into account, this corresponded to a y0O157 of around 1.8 log10 CFU ml1. Predictions made by model 4 with this realistic value for y0O157 gave final O157 levels ranging from 1.2 to 2 log10 CFU ml1 and from 4.6 to 5.6 log10 CFU ml1 after 6 and 24 h of enrichment incubation, respectively. In this case, in which the initial level of contamination by E. coli O157:H7 was low, the predictions showed that the ymaxO157 values obtained after 6 h of enrichment would be lower than the PCR and IMS-DM detection thresholds. Hence, some false-negative results could be obtained after the IMS analysis, for which only 6 h of incubation is recommended (ISO EN 16654). For an enrichment with 6 h of incubation before detection by PCR, some false-negative results could be also obtained (20, 34).
In addition, healthy exponential-phase O157 cells were used in our study, but in reality the cells could be starved, desiccated, stressed, or in the stationary phase (59). Natural O157 contaminants may behave in a different way. However, Whiting and Bagi (62) reported that exponential-phase cells of Listeria monocytogenes had the shortest lag phase compared to cells grown under unfavorable conditions. The lag phase was also extended when the inoculum size was very small (3). Hence, the last predictions obtained with model 4 (based on fitting our experiment data) could overestimate the O157 level obtained after 6 or 24 h. It is worth noting that when the background microflora level was higher than that in our experiment, the IMS-DM and PCR threshold of detection could scarcely be reached even after 24 h of enrichment.
The length of the enrichment step is currently being reduced more and more in order to obtain more rapid methods for isolation of E. coli O157:H7. However, the last predictions showed that 6 h of enrichment is not sufficient to reach the detection thresholds of numerous screening methods. In order to evaluate the optimal length of incubation, the IMS-DM and PCR detection limits after a 6-h enrichment step were estimated by using model 4. Depending on the protocol, the predicted values varied from 2 to 9 CFU ml1 for PCR and from 18 to 93 CFU ml1 for IMS-DM. These values are consistent with those obtained previously after 6 h of enrichment at 37°C (20, 28, 29). Moreover, if the length of incubation varies from 6 to 10 h, the predicted PCR and IMS-DM detection limits are decreased by roughly 3 log10 and vary from 3 to 4 log10 CFU ml1 for PCR and from 2 to 3 log10 CFU ml1 for IMS-DM. Hence with prior enrichment for 10 h, samples with a low initial level of O157 (1.8 log10 CFU ml1) would be detected. Since the tmax values range from 10.02 to 11.7 h depending on the protocol considered, it does not seem useful to further increase the incubation temperature, and 10 to 12 h appears to be the optimal length of enrichment for ground beef.
Model 4 allowed us to predict the simultaneous growth of E. coli O157:H7 and background microflora in other conditions which were not tested (i.e., low initial O157 level and high initial BM level) and thus to propose recommendations concerning the optimal incubation period. In the present study we obtained results and drew conclusions for non-vacuum- and non-modified-atmosphere-packed ground beef, but more experiments should be carried out with ground beef in various packaging. Indeed, vacuum- or modified-atmosphere-packed ground beef might contain other background microfloras, and consequently the interactions between E. coli O157:H7 and the background microflora could be other types of interactions. For instance, in vacuum-packed ground beef, the Lactobacillus flora in the background microflora is more important. Thus, antimicrobial metabolites, acids, and bacteriocins produced by the Lactobacillus flora may involve another type of interaction with E. coli O157:H7.

ACKNOWLEDGMENTS
We thank Ammara Beddiaf, Christine Mazuy, and Magalie Berardin
for preparation of part of the experiment. We also thank Marie
Cornu and Valérie Livrelli for constructive counsel and
Richard Sullivan for coaching in English.
This work was supported by the French Food Safety Agency (Agence Française de Sécurité Sanitaire des Aliments, Maisons-Alfort, France).

FOOTNOTES
* Corresponding author. Mailing address: Unité de Microbiologie Alimentaire et Prévisionnelle, Ecole Nationale Vétérinaire de Lyon, 1 avenue Bourgelat, 69280 Marcy l'Etoile, France. Phone: 33-4-78-87-25-50. Fax: 33-4-78-87-25-54. E-mail:
a.vimont{at}vet-lyon.fr 

REFERENCES
1 - Aldus, C., A. Van Amerongen, R. M. Ariens, M. W. Peck, J. H. Wichers, and G. M. Wyatt. 2003. Principles of some novel rapid dipstick methods for detection and characterization of verotoxigenic Escherichia coli. J. Appl. Microbiol. 95:380-389.[CrossRef][Medline]
2 - Atalla, H., R. Johnson, S. McEwen, R. Usborne, and C. Gyles. 2000. Use of a Shiga toxin (Stx)-enzyme-linked immunosorbent assay and immunoblot for detection and isolation of Stx-producing Escherichia coli from naturally contaminated beef. J. Food Prot. 63:1167-1172.[Medline]
3 - Augustin, J. C., A. Brouillaud-Delattre, L. Rosso, and V. Carlier. 2000. Significance of inoculum size in the lag time of Listeria monocytogenes. Appl. Environ. Microbiol. 66:1706-1710.[Abstract/Free Full Text]
4 - Bates, D. M., and D. G. Watts. 1998. Nonlinear regression and its applications. John Wiley & Sons Inc., New York, N.Y.
5 - Baty, F., J. P. Flandrois, and M. L. Delignette-Muller. 2002. Modeling the lag time of Listeria monocytogenes from viable count enumeration and optical density data. Appl. Environ. Microbiol. 68:5816-5825.[Abstract/Free Full Text]
6 - Bell, B. P., M. Goldoft, P. M. Griffin, M. A. Davis, D. C. Gordon, P. I. Tarr, C. A. Bartleson, J. H. Lewis, T. J. Barrett, and J. G. Wells. 1994. A multistate outbreak of Escherichia coli O157:H7-associated bloody diarrhea and hemolytic uremic syndrome from hamburgers. The Washington experience. JAMA 272:1349-1353.[Abstract/Free Full Text]
7 - Beutin, L., M. A. Montenegro, I. Orskov, F. Orskov, J. Prada, S. Zimmermann, and R. Stephan. 1989. Close association of verotoxin (Shiga-like toxin) production with enterohemolysin production in strains of Escherichia coli. J. Clin. Microbiol. 27:2559-2564.[Abstract/Free Full Text]
8 - Boer, E. D. 1998. Update on media for isolation of Enterobacteriaceae from foods. Int. J. Food Microbiol. 45:43-53.[CrossRef][Medline]
9 - Bouvet, J., and C. Vernozy-Rozand. 2000. Méthodes génétiques de détection des Escherichia coli verotoxiques (STEC) et de E. coli O157:H7 dans les aliments. Rev. Med. Vet. 151:907-914.
10 - Breidt, F., and H. P. Fleming. 1998. Modeling of the competitive growth of Listeria monocytogenes and Lactococcus lactis in vegetable broth. Appl. Environ. Microbiol. 64:3159-3165.[Abstract/Free Full Text]
11 - Buchanan, R. L., R. C. Whiting, and W. C. Damert. 1997. When is simple good enough: a comparison of the Gompertz, Baranyi, and three phase linear models for fitting bacterial growth curves. Food Microbiol. 14:313-321.
12 - Carlin, F., C. Nguyen-The, and C. E. Morris. 1996. Influence of background microflora on Listeria monocytogenes on minally processed fresh broad-leaved endive (Cichorium endivia var. latifolia). J. Food Prot. 59:698-703.
13 - Catarame, T. M. G., K. A. O'Hanlon, G. Duffy, J. J. Sheridan, I. S. Blair, and D. A. McDowell. 2003. Optimisation of enrichment and plating procedures for the recovery of Escherichia coli O111 and O26 from minced beef. J. Appl. Microbiol. 95:949-957.[CrossRef][Medline]
14 - Centers for Disease Control and Prevention. 1997. Escherichia coli O157:H7 infections associated with eating a nationally distributed commercial brand of frozen ground beef patties and burgersColorado, 1997. Morbid. Mortal. Wkly. Rep. 46:777-778.
15 - Centers for Disease Control and Prevention. 2002. Multistate outbreak of Escherichia coli O157:H7 infections associated with eating ground beefUnited States, June-July 2002. Morbid. Mortal. Wkly. Rep. 51:637-639.
16 - Chapman, P. A., C. A. Siddons, D. J. Wright, P. Norman, J. Fox, and E. Crick. 1992. Cattle as a source of verotoxigenic Escherichia coli O157. Vet. Rec. 131:323-324.[Medline]
17 - Cornu, M., M. Kalmokoff, and J. P. Flandrois. 2002. Modelling the competitive growth of Listeria monocytogenes and Listeria innocua in enrichment broths. Int. J. Food Microbiol. 73:261-274.[CrossRef][Medline]
18 - Cowden, J., S. Ahmed, M. Donaghy, and A. Riley. 2001. Epidemiological investigation of the central Scotland outbreak of Escherichia coli O157 infection, November to December 1996. Epidemiol. Infect. 26:335-341.
19 - Crowley, H., C. Cagney, J. J. Sheridan, W. Anderson, D. A. McDowell, I. S. Blair, R. H. Bishop, and G. Duffy. 2005. Enterobacteriaceae in beef products from retail outlets in the Republic of Ireland and comparison of the presence and counts of E. coli O157:H7 in these products. Food Microbiol. 22:409-414.[CrossRef]
20 - Cui, S., C. Schroeder, D. Zhang, and J. Meng. 2003. Rapid sample preparation method for PCR-based detection of Escherichia coli O157:H7 in ground beef. J. Appl. Microbiol. 95:129-134.[CrossRef][Medline]
21 - Dodd, C., M. Sanderson, J. Sargeant, T. Nagaraja, R. Oberst, R. Smith, and D. Griffin. 2003. Prevalence of Escherichia coli O157 in cattle feeds in Midwestern feedlots. Appl. Environ. Microbiol. 69:5243-5247.[Abstract/Free Full Text]
22 - Dogan, H., H. Kuleasan, I. Cakir, and A. Halkman. 2003. Evaluation of increased incubation temperature and cefixime-tellurite treatment for the isolation of Escherichia coli O157:H7 from minced beef. Int. J. Food Microbiol. 87:29-34.[CrossRef][Medline]
23 - Duffy, G., R. C. Whiting, and J. J. Sheridan. 1998. The effect of a competitive microflora, pH and temperature on the growth kinetics of Escherichia coli O157:H7. Food Microbiol. 16:299-307.
24 - Feldsine, P. T., D. E. Kerr, S. C. Leung, A. H. Lienau, S. M. Miller, and L. A. Mui. 2002. Assurance enzyme immunoassay eight hour method for detection of enterohemorrhagic Escherichia coli O157:H7 in raw and cooked beef (modification of AOAC Official Method 996.10): collaborative study. J. Assoc. Off. Anal. Chem. 85:1037-1044.[Medline]
25 - Foster, G., G. Hopkins, G. Gunn, H. Ternent, F. Thomson-Carter, H. Knight, D. Graham, V. Edge, and B. Synge. 2003. A comparison of two pre-enrichment media prior to immunomagnetic separation for the isolation of E. coli O157 from bovine faeces. J. Appl. Microbiol. 95:155-159.[CrossRef][Medline]
26 - Gehring, A., J. Brewster, P. Irwin, S. Tu, and L. V. Houten. 1999. 1-Naphthyl phosphate as an enzymatic substrate for enzyme-linked immunomagnetic electrochemistry. J. Electroanal. Chem. 27:469.
27 - Gehring, A. G., D. L. Patterson, and S. I. Tu. 1998. Use of a light-addressable potentiometric sensor for the detection of Escherichia coli O157:H7. Anal. Biochem. 258:293-298.[CrossRef][Medline]
28 - Gehring, A. G., P. L. Irwin, S. A. Reed, S. I. Tu, P. E. Andreotti, H. Akhavan-Tafti, and R. S. Handley. 2004. Enzyme-linked immunomagnetic chemiluminescent detection of Escherichia coli O157:H7. J. Immunol. Methods 293:97-106.[CrossRef][Medline]
29 - Gilgen, M., P. Hubner, C. Hofelein, J. Luthy, and U. Candrian. 1998. PCR-based detection of verotoxin-producing Escherichia coli (VTEC) in ground beef. Res. Microbiol. 149:145-154.[Medline]
30 - Gimenez, B., and P. Dalgaard. 2004. Modelling and predicting the simultaneous growth of Listeria monocytogenes and spoilage micro-organisms in cold-smoked salmon. J. Appl. Microbiol. 96:96-109.[CrossRef][Medline]
31 - Gonthier, A., V. Guérin-Faublée, B. Tilly, and M. L. Delignette-Muller. 2001. Optimal growth temperature of O157 and non-O157 Escherichia coli strains. Lett. Appl. Microbiol. 33:352-356.[CrossRef][Medline]
32 - Grif, K., M. Dierich, and F. Allerberger. 1998. Dynabeads plus 3 M Petrifilm HEC versus Vitek Immunodiagnostic assay system for detection of E. coli O157 in minced meat. Lett. Appl. Microbiol. 26:199-204.[CrossRef][Medline]
33 - Griffin, P., and R. V. Tauxe. 1991. The epidemiology of infections caused by Escherichia coli O157:H7, other enterohemorrhagic E. coli, and the associated hemolytic uremic syndrome. Epidemiol. Rev. 13:60-98.[Free Full Text]
34 - Hanlon, K. O., T. Catarame, G. Duffy, I. Blair, and D. McDowell. 2004. RAPID detection and quantification of E. coli O157/O26/O111 in minced beef by real-time PCR. J. Appl. Microbiol. 96:1013-1023.[CrossRef][Medline]
35 - Ihaka, R., and R. Gentleman. 1996. R: a language for data analysis and graphics. J. Comp. Graph. Stat. 5:299-314.[CrossRef]
36 - Karch, H., and T. Meyer. 1989. Evaluation of oligonucleotide probes for identification of Shiga-like-toxin-producing Escherichia coli. J. Clin. Microbiol. 27:1180-1186.[Abstract/Free Full Text]
37 - Keene, W. E., J. M. McAnulty, L. P. Williams, K. Hedberg, and D. W. Fleming. 1993. A two-restaurant outbreak of Escherichia coli O157:H7 enteritis associated with the consumption of mayonnaise. Abstr. 33rd Intersci. Conf. Antimicrob. Agents Chemother., p. 354.
38 - Lin, Z., H. Kurazono, S. Yamasaki, and Y. Takeda. 1993. Detection of various variant verotoxin genes in Escherichia coli by polymerase chain reaction. Microbiol. Immunol. 37:543-548.[Medline]
39 - Lionberg, W., L. Restaino, E. Frampton, and W. Barbour. 2003. Efficacy of enrichment broths in the recovery of freeze-injured Escherichia coli O157:H7 in inoculated ground beef by PCR. J. Food Prot. 66:1911-1915.[Medline]
40 - Malakar, P. K., D. E. Martens, M. H. Zwietering, C. Beal, and K. Van't Riet. 1999. Modelling the interactions between Lactobacillus curvatus and Enterobacter cloacae. II. Mixed cultures and shelf life predictions. Int. J. Food Microbiol. 51:67-79.[CrossRef][Medline]
41 - Manafi, M., and B. Kremsmaier. 2001. Comparative evaluation of different chromogenic/fluorogenic media for detecting Escherichia coli O157:H7 in food. Int. J. Food Microbiol. 71:257-262.[CrossRef][Medline]
42 - McDonough, P., C. Rossiter, R. Rebhun, S. Stehman, D. Lein, and S. Shin. 2000. Prevalence of Escherichia coli O157:H7 from cull dairy cows in New York state and comparison of culture methods used during preharvest food safety investigations. J. Clin. Microbiol. 38:318-322.[Abstract/Free Full Text]
43 - McKellar, R. C., and X. Lu. 2004. Primary models, p. 21-62. In R. C. McKellar and X. Lu (ed.), Modelling microbial responses in food. CRC Press, Boca Raton, Fla.
44 - Nauta, M. J., and J. Dufrenne. 1999. Variability in growth characteristics of different E. coli O157:H7 isolates, and its implications for predictive microbiology. Quant. Microbiol. 1:137-155.[CrossRef]
45 - Orr, P., B. Lorencz, R. Brown, R. Kielly, B. Tan, D. Holton, H. Clugstone, L. Lugtig, C. Pim, and S. MacDonald. 1994. An outbreak of diarrhea due to verotoxin-producing Escherichia coli in the Canadian Northwest Territories. Scand. J. Infect. Dis. 26:675-684.[Medline]
46 - Ostroff, S. M., P. M. Griffin, R. V. Tauxe, L. D. Shipman, K. D. Greene, J. G. Wells, J. H. Lewis, P. A. Blake, and J. M. Kobayashi. 1990. A statewide outbreak of Escherichia coli O157:H7 infections in Washington State. Am. J. Epidemiol. 132:239-247.[Abstract/Free Full Text]
47 - Pavia, A. T., C. R. Nichols, D. P. Green, R. V. Tauxe, S. Mottice, K. D. Greene, J. G. Wells, R. L. Siegler, E. D. Brewer, and D. Hannon. 1990. Hemolytic-uremic syndrome during an outbreak of Escherichia coli O157:H7 infections in institutions for mentally retarded persons: clinical and epidemiologic observations. J. Pediatr. 116:544-551.[CrossRef][Medline]
48 - Pin, C., and J. Baranyi. 1998. Predictive models as means to quantify the interactions of spoilage organisms. Int. J. Food Microbiol. 41:59-72.[CrossRef][Medline]
49 - Proctor, M. E., T. Kurzynski, C. Koschmann, J. R. Archer, and J. P. Davis. 2002. Four strains of Escherichia coli O157:H7 isolated from patients during an outbreak of disease associated with ground beef: importance of evaluating multiple colonies from an outbreak-associated product. J. Clin. Microbiol. 40:1530-1533.[Abstract/Free Full Text]
50 - Riley, L. W., R. S. Remis, S. D. Helgerson, H. B. McGee, J. G. Wells, B. R. Davis, R. J. Hebert, E. S. Olcott, L. M. Johnson, N. T. Hargrett, P. A. Blake, and M. L. Cohen. 1983. Hemorrhagic colitis associated with a rare Escherichia coli serotype. N. Engl. J. Med. 308:681-685.[Abstract]
51 - Ryan, C. A., R. V. Tauxe, G. W. Hosek, J. G. Wells, P. A. Stoesz, H. W. McFadden, P. W. Smith, G. F. Wright, and P. A. Blake. 1986. Escherichia coli O157:H7 diarrhea in a nursing home: clinical, epidemiological, and pathological findings. J. Infect. Dis. 154:631-638.[Medline]
52 - Senne, M. M., and S. E. Gilliland. 2003. Antagonistic action of cells of Lactobacillus delbrueckii subsp. lactis against pathogenic and spoilage microorganisms in fresh meat systems. J. Food Prot. 66:418-425.[Medline]
53 - Shinagawa, K. 1997. Correspondance and problem for enterohemorrhagic E. coli O157 outbreak in Morioka City, Iwate. Koshu Eisei Kenkyu 46:104-112.
54 - Smith, K., E. Swanson, E. Wagstrom, F. Leano, D. Boxrud, J. Adams, J. Besser, R. Danila, and H. F. Hull. 2002. Three outbreaks of E. coli O157 infections due to retail ground beef in Minnesota, 2000: detection, investigation and characteristics, p. 167-168. Abstr. 3rd International Conference of Emerging Infectious Diseases, March 2002, Atlanta, Ga.
55 - Tamplin, M. 2002. Growth of Escherichia coli O157:H7 in raw ground beef stored at 10 degrees C and the influence of competitive bacterial flora, strain variation, and fat level. J. Food Prot. 65:1535-1540.[Medline]
56 - Tamplin, M. L., G. Paoli, B. S. Marmer, and J. Philips. 2005. Models of the behaviour of Escherichia coli O157:H7 in raw sterile ground beef stored at 5 to 46°C. Int. J. Food Microbiol. 15:335-344.[CrossRef]
57 - Tarr, P. 1995. Escherichia coli O157:H7: clinical, diagnostic, and epidemiological aspects of human infection. Clin. Infect. Dis. 20:1-8.[Medline]
58 - Tutenel, A., D. Pierard, J. V. Hoof, and L. D. Zutter. 2003. Molecular characterization of Escherichia coli O157 contamination routes in a cattle slaughterhouse. J. Food Prot. 66:1564-1569.[Medline]
59 - Uyttendaele, M., C. Grangette, F. Rogerie, S. Pasteau, J. Debevere, and M. Lange. 1998. Iinfluence of cold stress on the preliminary enrichment time needed for detection of enterohemorrhagic Escherichia coli in ground beef by PCR. Appl. Environ. Microbiol. 64:1640-1643.[Abstract/Free Full Text]
60 - Vold, L., A. Holck, Y. Wasteson, and H. Nissen. 2000. High levels of background flora inhibits growth of Escherichia coli O157:H7 in ground beef. Int. J. Food Microbiol. 56:219-225.[CrossRef][Medline]
61 - Walls, I., and V. N. Scott. 1996. Validation of predictive mathematical models describing the growth of Escherichia coli O157:H7 in raw ground beef. J. Food Prot. 59:1331-1335.
62 - Whiting, R. C., and L. K. Bagi. 2002. Modeling the lag phase of Listeria monocytogenes. Int. J. Food Microbiol. 73:291-295.[CrossRef][Medline]
63 - Witham, P. K., C. T. Yamashiro, K. J. Livak, and C. A. Batt. 1996. A PCR-based assay for the detection of Escherichia coli Shiga-like toxin genes in ground beef. Appl. Environ. Microbiol. 62:1347-1353.[Abstract]
Applied and Environmental Microbiology, January 2006, p. 261-268, Vol. 72, No. 1
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