PREDICTIVE MICROBIOLOGICAL MODELS: WHAT ARE THEY AND HOW CAN THEY BE USED IN THE FOOD INDUSTRY?

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PREDICTIVE MICROBIOLOGICAL MODELS: WHAT ARE THEY AND HOW CAN THEY BE USED IN THE FOOD INDUSTRY? WHY USE MODELS? Predictive microbiological models are tools that can be used to assess product shelf-life and safety. Models can also be used: In product development To identify areas where challenge testing should be undertaken As a tool with HACCP and risk assessment plan development THE SCIENCE Predictive microbiological models are computer based software packages which allow the user to estimate the rate of microbial growth or get an indication of whether growth of a particular microorganism will occur under a specified set of conditions. The models are based on laboratory generated data. Microbiological growth media (broths) are produced with different instrinsic parameters such as ph and salt level and are then inoculated with the relevant organism or cocktail of organisms. These broths are then stored at a range of temperatures and the microbial level present is assessed over time. These are known as kinetic growth models, as they allow assessment of the amount of growth that can occur. A different approach is to note time to turbidity rather than assess microbial levels. These are growth/no growth or time to growth models, as they cannot estimate the level of growth, but simply if growth occurs. Once the data is generated, statistical equations are fitted and these are then combined with a user-friendly interface. Predictive models have been developed for both spoilage and pathogenic organisms and there are both growth and survival models available for use. The models will usually include the following variables: Temperature of storage, including fluctuating temperatures. ph. Salt or equivalent water activity. Some models also take into account levels of preservatives such as nitrite, CO 2 and lactic and acetic acid. Campden BRI - Station Road Chipping Campden Gloucestershire GL55 6LD, UK Tel: +44(0)1386 842000 information@campdenbri.co.uk www.campdenbri.co.uk 1

Once parameters have been entered into the system, a prediction is produced. The prediction will usually be in the form of a growth curve (Figure 1), but parameters such as lag time, time to reach a specified microbial level and level at a specified time can also be predicted. THE APPLICATION Predictive models are a very quick, efficient and cost effective way of assessing the potential for growth of microorganisms under specific conditions without needing practical studies. During product development, a product formulation may be changed several times before being finalised. Often there can be a pressure on time and money and therefore it is not possible to practically evaluate the shelf life of all possible formulations. It is important that the potential for growth and/or survival of all relevant organisms is assessed and practical trials are carried out on the final formulation. However, limiting the amount of practical work required will save time and money. It is not only during product development that the potential for microbial growth is important; other examples include a product being subjected to a slightly elevated temperature or if there has been a problem with formulation of a batch of product. With regards to spoilage organisms it is usually the time to reach a specified target level that is the most important parameter. However, for pathogenic organisms such as Salmonella or C. botulinum, it is the time for growth to begin (lag time) that is the most important parameter as any growth at all has to be avoided. For some organisms like S. aureus and B. cereus, which produce toxins and cause food poisoning when a specified level is reached, predictive systems can be used to predict the time taken to reach these levels. Predictive systems can also be used to predict if Listeria monocytogenes could reach a level of 100 cfu/g during a product's shelf life (the limit set in EU hygiene legislation). Growth of spoilage organisms can be modelled using a Campden BRI developed system known as FORECAST. Also included in the FORECAST system are models covering specific food commodities. These models are based on the specific spoilage organisms for the relevant food commodity. There are currently models for fish, meat, fresh produce and yeasts in fruits and drinks, plus a range of models relevant to acidified foods. The acidified foods models and yeast in fruit and drinks, Bacilli and mould models give predictions of time to growth rather than producing growth curves. Campden BRI 2

Figure 1 Microbial growth curve Predictions are carried out by Campden BRI and a report including growth curves and time to reach specified levels is produced and interpreted for the Client. In order for a prediction to be produced, the client must provide the following information: ph, water activity, % salt (all can be measured at Campden BRI) and temperature (either one static temperature or a fluctuating profile). Campden BRI can then advise as to which organisms or commodity models would be most relevant. For some models such as the acidified food models, level of preservative is also required. The models currently available in the FORECAST system are detailed below in Tables 1 and 2. Acid tolerant organisms The models developed for acidified foods are based on 3 groups of organisms. These models have been termed: cold fill spoilage, which includes acid adapted yeasts, moulds and lactic acid bacteria; cold fill pathogens, which includes E. coli, S. aureus and Salmonella; and hot fill spoilage, which includes sporeformers such as B. coagulans and C. pasteurianum. Predictions generated from these models are based on 5 categories: category 1 growth in 1-14 days, category 2 growth in 15-30 days, category 3 growth in 31-60 days, category 4 growth 61-182 days, category 5 no growth in 6 months. Campden BRI 3

Data was produced and models were generated based on ph, Aw and preservative level as detailed in Table 2. Safety and stability of acetic acid based mayonnaises and sauces can also be assessed using the equations given in the CIMSCEE code. There are safety and stability formulae, both of which are based on ph, and amounts of acetic acid, salt and sugar in the water phase. A numerical value is calculated which has to be greater than 63 for the product to be considered safe and/or stable. Campden BRI is able to perform these calculations for clients. If the required values are not available, Campden BRI can analyse products for salt, sugar, water, ph and acetic acid level. Food pathogens Pathogen predictions can be carried out using the Combase predictor system. This system is internet based and predictions are generated online. This system is freely available via https://browser.combase.cc/combase_predictor.aspx?model=1 (2.1.18) Campden BRI is able to generate pathogen predictions using Combase predictor and interpret them for clients who do not have a microbiological background. The Combase system contains growth models but also thermal death models. These thermal death models predict log reductions of an organism at a specified temperature. There are also survival models for Salmonella and Listeria which predict the log reduction of the organism at various ph values, temperatures and salt levels. This can be useful to assess if pathogens can survive in, for example, acidified foods. Another useful model is one that allows the potential for C. perfringens growth to be predicted during cooling. The details of models and input parameters for models contained in the Combase predictor system are detailed in Tables 3 and 4. A further set of pathogen models in the USA, known as the pathogen modelling program (PMP), is freely available via the internet. Details of the models included are given in Table 5. These can be generated online at https://pmp.errc.ars.usda.gov/pmponline.aspx (2.1.18) or a software package can be downloaded for stand-alone use. The stand alone system (v 7.0) has more models available for use than the online system https://www.ars.usda.gov/northeast-area/wyndmoor-pa/eastern-regional-research-center/residuechemistry-and-predictive-microbiology-research/docs/pathogen-modeling-program/pathogenmodeling-program-models/ (2.1.18) Details of these additional models are given in Table 6. Campden BRI 4

For further information on how models can be used, contact: Linda Everis Tel: 01386 842063 Fax: 01386 842100 Email: Linda.everis@campdenbri.co.uk or, Gail Betts Tel: 01386 842071 Fax: 01386 842100 Email: Gail.betts@campdenbri.co.uk Campden BRI 5

Table 1 Spoilage models available in FORECAST Model Temperature ( C) NaCl (% aq) Equivalent Aw Pseudomonas 0-15 0.0-4.0 1.00-0.977 5.5-7.0 Bacillus spp. 5-25 0.5-10 0.997-0.935 4.0-7.0 Enterobacteriaceae 0-27 0.5-10 0.997-0.935 4.0-7.0 Yeasts (chilled foods) Yeasts (fruit/drinks) (time to growth) ph 0-22 0.5-10 0.997-0.935 2.6-6.0 0-22 - 2.0-7.0 Lactic acid bacteria 2-30 0.5-10 0.997-0.935 3.0-6.0 Meat spoilage 2-22 0-6 1.00-0.964 4.6-7.0 Fish spoilage 2-22 0-6 1.00-0.964 4.5-8.0 Fresh produce TVC Fresh produce Enterobacteriaceae Fresh produce lactic acid bacteria Fresh produce Pseudomonas Enterobacteriaceae death model Bacillus (time to growth) Bacillus (growth or no growth) 2-25 - - - 2-25 - - - 2-25 - - - 2-25 - - - Other Conditions temperature, ph, salt temperature, ph, salt temperature, ph, salt temperature, ph, salt 0-60% Sucrose (w/v) 0-20% Ethanol (v/v) Potassium sorbate 0-1000(ppm) temperature 0-240 KNO 2 (ppm) temperature, ph, salt temperature, ph, salt 52 to 64 0-8 1.00-0.95 4.0-7.0 Predicts D value 8-45 0.5-10 0.997-0.935 4.0-7.0 5-45 1.33-17.5 0.845-0.988 3.48-5.03 BBQ sauce 5 or 25 0-3 - - Juice 8 - - 2.5-4.0 Sugar (sucrose) 0-50%, acetic acid 0.5-4.0%, sorbate 0-2000ppm Sweetener presence- Y/N Preservative presence- Y/N Sugar (sucrose) 10-50% Juice 0-25% Aspergillus niger NA NA 0.80-0.97 4.67-7.56 K sorbate and Ca propionate 0-0.5% Aspergillus NA NA 0.80-0.97 4.67-7.56 K sorbate and Ca Campden BRI 6

ochraceus propionate 0-0.5% Cladosporium herbarium NA NA 0.80-0.97 4.67-7.56 K sorbate and Ca propionate 0-0.5% Eurotium repens NA NA 0.80-0.97 4.67-7.56 K sorbate 0-0.5% Mucor racemosus NA NA 0.80-0.97 4.67-7.56 K sorbate and Ca propionate 0-0.5% Penicillium corylophilium Penicillium aurantiogriseum NA NA 0.80-0.97 NA NA 0.80-0.97 Rhizopus spp NA NA 0.80-0.97 4.67-7.56 K sorbate and Ca propionate 0-0.5% 4.67-7.56 K sorbate and Ca propionate 0-0.5% 4.67-7.56 K sorbate and Ca propionate 0-0.5% Table 2 Models for acidified foods in FORECAST Organisms Cold fill spoilage (yeasts, moulds, lactics) Cold fill pathogens (E. coli, S. aureus, Salmonella) Hot fill spoilage (sporeformers) Prediction categories/time to growth (G) 1 = G in 14d 2 = G in 15-30d 3 = G in 31-60d 4 = G in 61-182d 5 = NG in 182d 1 = G in 120d 2 = NG in 120d 1 = G in 14d 2 = G in 15-30d 3 = G in 31-60d 4 = G in 61-182d 5 = NG in 182d ph Aw Salt % w/v Preservative ppm 2.8-5.0 0.85-1.00 0.5-18 Benzoate Sorbate 0-2000 (in total) 3.9-5.0 0.87-1.00 0.5-16 Benzoate Sorbate 0-2000 (in total) 3.7-5.2 0.86-1.00 0.5-18 Benzoate Sorbate 0-2000 (in total) Key: G = Growth NG = No Growth Campden BRI 7

Table 3 Combase Predictor growth models Model Temperature ( C) (fluctuating temperature profiles can be used) NaCl (% aq) Aw ph Other conditions (only one extra condition permitted per prediction) Aeromonas hydrophila 2-37 0.0-4.5 1.00-0.974 4.6-7.5 - Bacillus cereus 5.0-34.0 0.0-9.4 1.00-0.94 4.9-7.4 CO 2 0-60% Bacillus licheniformis 13.0-34.0 0.0-13.5 1.00-0.907 4.0-7.6 - Bacillus subtilis 10.0-34.0 0.0-10.3 1.00-0.933 4.3-7.8 - Brochothrix 0.0-30.0 0.0-8.0 1.00-0.95 5.5-7.0 - thermosphacta Clostridium botulinum 4.0-30.0 0.0-4.5 1.00-0.974 5.1-7.5 - (non-proteolytic) Clostridium botulinum 14.0-40.0 0.0-7.5 1.00-0.954 4.7-7.2 - (proteolytic) Clostridium perfringens 15.0-52.0 0.0-5.0 1.00-0.971 5.0-8.0 - E. coli 10.0-42 0.0-6.5 1.00-0.961 4.5-7.5 0-100% CO 2 Listeria monocytogenes/ innocua 1.0-40 0.0-10.2 1.00-0.934 4.4-7.5 0-100% CO 2 Listeria monocytogenes/ innocua 1.0-40 0.0-11.4 1.00-0.924 4.4-7.5 0-20,000ppm lactic acid 0-10,000ppm acetic acid 0-200ppm NaNO 2 Salmonella 7.0-40 0.0-4.6 1.00-0.973 3.9-7.4 0-100% CO 2 0-200ppm nitrite Staphylococcus aureus 7.5-30.0 0.0-13.5 1.00-0.907 4.3-7.1 - Yersinia enterocolitica -1-37.0 0.0-7.0 1.00-0.957 4.4-7.2 0-10,000ppm lactic acid 0-80% CO 2 Pseudomonas 0-20 0-6.5 0.961 5-7.4 Shigella flexneri 15-37 0-5 0.971 5.5-7.5 0-1000 NO 2 Non thermal death Temp ( C) ph NaCl (%) Aw L. monocytogenes/ 0-20 3.5-7.0 0-25 0.793-1.0 innocua Salmonella 0-40 4.3-7.5 0-26 0.781 Salmonella in eggs 10-42 7.6-8.0-0.995-1.00 Perfringens predictor - cooling model Cured/uncured ph 5.2-8.0 0-4% NaCl Campden BRI 8

Table 4 Combase Predictor thermal death models Model Temperature ( C) NaCl (% aq) Aw ph Bacillus cereus 90-100 2.5-7.5 0.986-0.954 4.5-7.0 Clostridium botulinum (non-proteolytic) 80-95 0-5.0 1.00-0.971 4.1-7.3 E. coli 54.5-64.5 0-8.4 1.00-0.947 4.2-8.0 Listeria monocytogenes/innocua 60-68 0-9.0 1.00-0.943 4.2-7.0 Salmonella 54.5-65 0-0.6 1.00-0.997 4.0-7.1 Yersinia enterocolitica 52-60 0.65 1.00-0.961 4.2-7.0 Brochothrix 40-55 0-2.0 1.00-0.989 5-7.0 Table 5 Models included in the Pathogen Modelling program on-line version Model Temp ( C) PMP Growth Models - Broth Culture NaCl (% aq) Campden BRI 9 Aw ph Initial level (log cfu/g) Other conditions Aeromonas hydrophila 5-42 0.5-4.5 0.997-0.974 5.3-7.3 3-5.9 0-150ppm NaNO 2 aerobic Aeromonas hydrophila 5-30 0.5-3.5 0.997-0.980 5.3-7.3 3-5.9 0-150ppm NaNO 2 anaerobic Bacillus cereus aerobic 5-42 0.5-5.0 0.997-0.970 4.7-7.5 3-5.9 0-150ppm NaNO 2 Bacillus cereus 10-42 0.5-5.0 0.997-0.970 5.0-9.0 3-5.9 0-150ppm NaNO 2 anaerobic Escherichia coli 5-42 0.5-5.0 0.997-0.970 4.5-8.5 3-5.9 0-150ppm NaNO 2 O157:H7 aerobic Escherichia coli 5-42 0.5-5.0 0.997-0.970 4.5-8.5 3-5.9 0-150ppm NaNO 2 O157:H7 anaerobic Listeria 4-37 0.5-10.5 0.997-0.928 4.5-7.5 3-5.9 0-150ppm NaNO 2 monocytogenes (NaCl) aerobic Listeria 4-37 0.5-5.0 0.997-0.970 4.5-8.0 3-5.9 0-150ppm NaNO 2 monocytogenes (NaCl) anaerobic Staphylococcus aureus 10-42 0.5-12.5 0.997-0.911 4.5-9.0 3-5.9 0-150ppm NaNO 2 aerobic Staphylococcus aureus 12-42 0.5-16.5 0.997 5.3-9.0 3-5.9 0-150ppm NaNO 2 anaerobic Shigella flexneri 10-37 0.5-5.0 0.997-0.970 5.0-7.5 3-5.9 0-150ppm NaNO 2 aerobic Shigella flexneri 12-37 0.5-4.0 0.997-0.977 5.5-7.5 3-5.9 0-150ppm NaNO 2 anaerobic Other Models Model Input factors Capabilities L. monocytogenes transfer- Inoculation level (log cfu/g per blade) Calculates L. monocytogenes

salmon L. monocytogenes transfer- deli meat L. monocytogenes shrimp and crab salad L. monocytogenes smoked salmon Salmonella Dublin- sterile ground chicken burger Salmonella Enteritidis- sterile ground chicken burger Salmonella Hadar sterile chicken skin Salmonella Kentucky sterile chicken skin Salmonella Typhimurium- chicken frankfurters Salmonella Typhimurium- chicken skin Salmonella Typhimurium- sterile ground chicken portions Salmonella Typhimurium- sterile ground chicken burgers Temperature ( C) Attachment time (mins) A list of potential combinations is given Various inoculation levels meat to blade Aerobic/Anaerobic 0-28 days Initial seafood contamination 4-12 C Salt 0-8% Phenol 0-34ppm 4-25 C 0-13h 6 log cfu/g initial loading 10-44 C 0-13h 6 log cfu/g initial loading 12-46 C 0-8h 6 log cfu/g initial loading 5-50 C 0-8h 6 log cfu/g initial loading 5-50 C 0-92h 10-40 C 0-10 days 4-12 C 0-65h 6 log cfu/g initial loading 10-40 C 0-10h 6 log cfu/g initial loading 10-48 C Campden BRI 10 level on slices of ground salmon from slice 1-40 Calculates L. monocytogenes level on ham slices Calculates growth rate and lag phase Calculates growth rate and lag phase Calculates Count v time Calculates Count v time Calculates Survival log v number Survival log v number Calculates Count v time Calculates Log growth Calculates Count v time Calculates Count v time Salmonella spp in ground chicken 10-45 C Calculates Growth rate Yersinia pseudotuberculosis in ground beef 3.5-35 C Calculates growth rate and lag phase Survival Model Input factors Capabilities E.coli O157 in cooked ham 8-15 C Average Growth Rate log cfu/day Sodium lactate 0-3% E.coli O157 in fermented sausage Fermentation :ph 4.6-6.0 E.coli O157 in fermented sausage E.coli O157 in fermented sausage Drying : ph 4.6-6.0 Aw 0.84-0.95 Storage: ph 4.6-6.0 Aw 0.84-0.95 4-30 C L. monocytogenes in cooked ham Sodium lactate 0-3% Average Growth Rate log cfu/day L. monocytogenes in fermented Fermentation :ph 4.6-6.0 sausage L. monocytogenes in fermented Drying : sausage ph 4.6-6.0 Aw 0.84-0.95 L. monocytogenes in fermented Storage:

sausage ph 4.6-6.0 Aw 0.84-0.95 4-30 C L. monocytogenes smoked salmon Smoking: Salt 0-6% Phenol 0-15ppm 40-50 C Salmonella spp in cooked ham Sodium lactate 0-3% 10-15 C Calculates inactivation rate Average Growth Rate log cfu/day Salmonella Typhimurium in fermented sausage Salmonella Typhimurium in fermented sausage Salmonella Typhimurium in fermented sausage Fermentation :ph 4.6-5.4 Drying : ph 4.6-5.4 Aw 0.84-0.95 Storage: ph 4.6-5.4 Aw 0.84-0.95 4-30 C Cooling C.botulinum in broth Temperature profile Log cfu/g increase C.perfringens in cured pork Temperature profile Log cfu/g increase Initial level 1.0-6.0 log cfu/g C.perfringens in uncured pork Temperature profile Log cfu/g increase Initial level 1.0-6.0 log cfu/g C.perfringens in cooked beef Temperature profile Log cfu/g increase NaCl 0-3% Nitrite 0-200ppm Initial level 1.0-6.0 log cfu/g C.perfringens in uncured beef Temperature profile Log cfu/g increase C.perfringens in uncured chicken Temperature profile Log cfu/g increase Heat Inactivation E.coli in ground beef 54.5-63 C Tea extracts L. monocytogenes in ground beef Sodium lactate 0-4.8% Sodium diacetate 0-0.25% 60-74 C L. monocytogenes in simulated beef gravy ph 4.0-7.0 NaCl 0-6% Sodium pyrophosphate 0-3% 55-65 C D value and lag phase D value and lag phase Log reduction 1.0 to 8.0 cfu/g Salmonella serotypes ground beef NaCl 0-4.5% Sodium pyrophosphate 0-0.5% 55-70 C 6.5 log cfu/g lethality Campden BRI 11

Table 6 Additional models included in pathogen modelling program - stand-alone version 7.0 not available via online Model Temp ( C) Nacl (% aq) Aw ph Initial level log cfu/g Other conditions Salmonella 10-30 0.5-4.5 0.997-0.974 5.6-6.8 3.0-5.9 N/A Listeria monocytogenes Aw (aerobic) Listeria monocytogenes Aw (anaerobic) Yersinia enterocolitica aerobic Non proteolytic C. botulinum in turkey slurry E. coli O157:H7 in simulated beef gravy Listeria monocytogenes in ground beef 4-37 - 0.928-0.997 4.5-7.5 3.0-5.9 Sodium nitrite 0-150ppm 4-37 0.5-5.0 0.997-0.97 4.5-8.0 3.0-5.9 Sodium nitrite 0-150ppm 5-42 0.5-5.0 0.997-0.970 4.5-8.5 3.0-5.9 Sodium nitrite 0-150ppm Temp ( C) Thermal inactivation Nacl (%) Aw ph Other conditions 70-90 0-3 1.00-0.983 5-7 Sodium pyrophosphate 0-0.3% 55-62.5 0-6 1.00-0.963 4-8 Sodium pyrophosphate 0-0.3% 55-65 0-6 1.00-0.963 4-8 Sodium pyrophosphate 0-0.3% Survival models Temp Nacl Aw ph Other conditions ( C) E. coli O157:H7 4-37 0.5-15 0.997-0.887 3.5-7.0 Lactic acid 0-2%, NaNO 2 0-75ppm L. monocytogenes (NaCl) 4-42 0.5-19 0.997-0.845 3.2-7.3 Lactic acid 0-2%, NaNO 2 0-150ppm S. aureus 4-37 0.5-20 0.997-0.834 3.0-7.0 Lactic acid 0-1%, NaNO 2 0-200ppm Salmonella 5-42 0.5-16 0.997-0.887 3.5-7.2 NaNO 2 0-200ppm Other models Model Model Capability Salmonella Typhimurium irradiation Predicts decline in numbers following 0-3.6kGy treatment of chicken E. coli O157 irradiation Predicts decline in numbers following 0-2.0 kgy treatment in beef tartar Spoilage flora (chicken leg) irradiation Predicts decline in numbers following a 0-3.6kGy treatment in chicken meat Time to turbidity proteolytic C. botulinum Predicts probability of growth at 15-34 C, ph 5-7.2, Nacl (%) 0-4 Non proteolytic C. botulinum Predicts probability of growth at 5-28 C, ph 5-7.0, 0-4% Nacl Time to toxin production for C. botulinum in fish Lag time predicted at 4-30 C, initial spore level -2-4.0 log cfu/g and initial aerobic count -2-3.0 log cfu/g Campden BRI 12

Seafood spoilage predictor http://fssp.food.dtu.dk/ Model Table 7 Other modelling systems Model Capability Predicts shelf life and growth of organisms relevant to seafood E.coli in fermented meat model Predicts inactivation in fermented meats http://www.foodsafetycentre.com.au/fermenter.php Microbial response viewer Database containing growth/no growth data http://mrviewer.info/ MLA Refrigeration Index calculator Predicts likely growth of E.coli in meat http://www.foodsafetycentre.com.au/refrigerationindex.php Campden BRI 13